{
"cells": [
{
"cell_type": "raw",
"metadata": {},
"source": [
"Code provided under BSD 3-Clause license, all other content under a Creative Commons Attribution license, CC-BY 4.0. (c) 2023 Francesco Mario Antonio Mitrotta."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"# Investigation of the Equilibrium Paths of the Unreinforced Box Beam\n",
"\n",
"In our previous notebooks we have established that the equilibrium path of a box beam under a concetrated tip load is always stable and resembles the natural path of a broken supercritical pitchfork. In the case of Euler's column, the natural path is accompanied by the presence of a complementary path that cannot be reached from the ground state. Consequently, a legitimate question arises: is there any complementary path also in the case of our box beam?\n",
"\n",
"A clue on the existence of complimentary paths for the box beam comes from the sensitivity study of the nonlinear analysis parameters that we carried out for the [box beam reinforced with ribs](08_Nonlinear_Buckling_Analysis_of_a_Box_Beam_Reinforced_with_Ribs.ipynb#nonlinear-analysis-parameters) and for the [one reinforced with ribs and stiffeners](12_Nonlinear_Buckling_Analysis_of_a_Box_Beam_Reinforced_with_Ribs_and_Stiffeners.ipynb#nonlinear-analysis-parameters). In those cases we observed some differences in the load-displacement curves obtained by using different nonlinear analysis parameters. We initially attributed those differences to the varying accuracy of the solution, caused in turn by the different parameters used for the analysis. However, is it possible that the equilibrium points of those curves actually belong to different equilibrium paths?\n",
"\n",
"In this notebook we are going to investigate the possible presence of other paths in the equilibrium manifold of the unreinforced box beam, and we will play with the nonlinear analysis parameters to find those paths.\n",
"\n",
"* [Setup of the numerical model](#numerical-model)\n",
"* [Variation of nonlinear analysis parameters](#nonlinear-analysis-parameters)\n",
" * [Error function](#error-function)\n",
" * [Convergence tolerance](#convergence-tolerance)\n",
" * [Initial load increment](#initial-load-increment)\n",
"* [Verification of the existence of other equilibrium paths](#verification)\n",
"* [Visualization of 3D equilibrium diagram and of deformation shapes](#visualization)\n",
"* [Conclusion](#conclusion)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt # import matplotlib\n",
"import tol_colors as tc # import package for colorblind-friendly colors\n",
"\n",
"# Set default color cycle to TOL bright\n",
"plt.rc('axes', prop_cycle=plt.cycler('color', list(tc.tol_cset('bright'))))\n",
"\n",
"# Enable interactive plots\n",
"%matplotlib widget"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Setup of the numerical model \n",
"\n",
"***\n",
"\n",
"Let's consider the same unreinforced box beam used in our previous notebooks."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
"image/svg+xml": [
""
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import SVG # class to embed an SVG into the display\n",
"import os # module with miscellaneous operating system interfaces\n",
"\n",
"SVG(filename=os.path.join('resources', '04_BoxBeamConcentratedLoad.svg'))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Box beam dimensions:\n",
"- width: 1.0 m\n",
"- length: 4.5 m\n",
"- height: 0.2 m\n",
"- wall thickness: 4.0 mm\n"
]
}
],
"source": [
"# Define geometry\n",
"AR = 9. # aspect ratio - 2*b/w (the length of the box beam corresponds to half the span of the CRM wing)\n",
"w = 1e3 # width [mm]\n",
"l = AR*w/2 # length [mm]\n",
"non_dimensional_height = 0.2 # h/w\n",
"h = w*non_dimensional_height # box height [mm]\n",
"non_dimensional_thickness = 1/50 # t/h\n",
"t = h*non_dimensional_thickness # shell thickness [mm]\n",
"print(f\"\"\"\n",
"Box beam dimensions:\n",
"- width: {w/1e3:.1f} m\n",
"- length: {l/1e3:.1f} m\n",
"- height: {h/1e3:.1f} m\n",
"- wall thickness: {t:.1f} mm\"\"\")\n",
"\n",
"# Define material\n",
"rho = 2780e-12 # density [ton/mm^3]\n",
"E = 73.1e3 # Young's modulus [MPa]\n",
"nu = 0.3 # Poisson's ratio"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Let's define the mesh using a shell element of 59.9 mm, as found in a previous [mesh convergence study](04_Nonlinear_Buckling_Analysis_of_a_Box_Beam.ipynb#mesh-convergence). We use the function `mesh_box_with_pyvista` from the `box_beam_utils` module and then we call the function `create_base_bdf_input` from the same module, which generates a `BDF` object of our box beam with material properties, nodes, elements, boundary conditions and output files defaults. Finally, we print a summary of the cards of our `BDF` object."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"---BDF Statistics---\n",
"SOL None\n",
"\n",
"bdf.spcs[1]: 1\n",
" SPC1: 1\n",
"\n",
"bdf.params: 0\n",
" PARAM : 1\n",
"\n",
"bdf.nodes: 0\n",
" GRID : 3388\n",
"\n",
"bdf.elements: 0\n",
" CQUAD4 : 3344\n",
"\n",
"bdf.properties: 0\n",
" PSHELL : 1\n",
"\n",
"bdf.materials: 0\n",
" MAT1 : 1\n",
"\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"subcase=0 already exists...skipping\n"
]
}
],
"source": [
"from resources import box_beam_utils\n",
"\n",
"shell_element_length = 59.9 # [mm]\n",
"box_beam_mesh = box_beam_utils.mesh_box_with_pyvista(width=w, length=l, height=h, element_length=shell_element_length)\n",
"nodes_coordinates_array = box_beam_mesh.points\n",
"nodes_connectivity_matrix = box_beam_mesh.faces.reshape(-1, 5)[:, 1:]\n",
"box_beam_bdf = box_beam_utils.create_base_bdf_input(young_modulus=E, poisson_ratio=nu, density=rho, shell_thickness=t,\n",
" nodes_xyz_array=nodes_coordinates_array,\n",
" nodes_connectivity_matrix=nodes_connectivity_matrix)\n",
"print(box_beam_bdf.get_bdf_stats())"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Now we rigidly constrain the tip section of the box beam with `RBE2` elements and we add a concentrated force of $1$ N in the positive $z$-direction. We apply this force at the center of the section by calling the function `add_unitary_force` from the `pynastran_utils` module, which by default applies a uniformly distributed force of $1$ N over the indicated nodes by means of `FORCE` cards."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"from resources import pynastran_utils # module with useful functions to work with pyNastran objects\n",
"\n",
"# Add master node of tip section\n",
"tip_master_node_id = np.size(nodes_coordinates_array, 0) + 1\n",
"box_beam_bdf.add_grid(tip_master_node_id, [w/2, l, 0.])\n",
"\n",
"# Add RBE2 element to make tip section rigid\n",
"nodes_ids = np.arange(1, np.size(nodes_coordinates_array, 0) + 1)\n",
"tip_nodes_ids = nodes_ids[nodes_coordinates_array[:,1] == l]\n",
"rbe2_eid = len(box_beam_bdf.elements) + 1\n",
"box_beam_bdf.add_rbe2(rbe2_eid, tip_master_node_id, '123456', tip_nodes_ids)\n",
"\n",
"# Add concentrated force\n",
"force_set_id = 11\n",
"concentrated_force_direction = [0., 0., 1.]\n",
"pynastran_utils.add_uniform_force(bdf_object=box_beam_bdf, nodes_ids=[tip_master_node_id], set_id=force_set_id,\n",
" direction_vector=concentrated_force_direction)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally we set up the arc-length method with default parameters calling the function `set_up_arc_length_method` from the `pynastran_utils` module."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"pynastran_utils.set_up_arc_length_method(box_beam_bdf) # set up SOL 106 with arc-length method using default parameters"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Variation of nonlinear analysis parameters \n",
"\n",
"***\n",
"\n",
"How can we find whether any complementary path exist in the equilibrium manifold of our box beam? As mentioned earlier, we can get a clue from our previous sensitivity studies on the nonlinear analysis parameters. For the box beams reinforced with ribs and with ribs and stiffeners we observed different load-displacement curves when varying certain nonlinear analysis parameters. The idea here is to select those parameters and for each value leading to a different final equilibrium point we run a new analysis with two subcases. In the first subcase we use the same set of parameters to reproduce the final equilibrium point and in the second subcase we unload the structure with a very fine arc-length increment size, with the aim of tracking the equilibrium path with relatively high accuracy. In this way we will be able to verify whether the final equilibrium points belong to a different path than the natural one.\n",
"\n",
"When we carried out the sensitivity study on the nonlinear analysis parameters for the [unreinforced box beam](05_Sensitivity_Study_of_SOL_106_Nonlinear_Analysis_Parameters.ipynb), we only loaded the structure up to the buckling load predicted by SOL 105, $P_\\text{SOL 105}$, instead of twice its value, and consequently we did not observe any influence of the parameters on the load-displacement curves. For this reason, we are going to perform the sensitivity study again, this time loading the structure with $P/P_\\text{SOL 105}=2$, until we find a parameter whose variation results in different load-displacement curves. Once the parameter has been identified, we'll try to run an analysis with two subcases as described earlier.\n",
"\n",
"To perform the sensitivity study let's first define a subcase with an applied load of $P/P_\\text{SOL 105}=2$. We recall the buckling load predicted by SOL 105 for our box beam, add a `LOAD` card, and call the function `create_static_load_subcase` from the `pynastran_utils` module."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"SOL_105_BUCKLING_LOAD = 1654. # [N]\n",
"load_set_id = force_set_id + 1 # define id of LOAD card\n",
"box_beam_bdf.add_load(sid=load_set_id, scale=1., scale_factors=[2*SOL_105_BUCKLING_LOAD], load_ids=[force_set_id]) # add LOAD card to define load set\n",
"pynastran_utils.create_static_load_subcase(bdf_object=box_beam_bdf, subcase_id=1, load_set_id=load_set_id) # create subcase with defined load set"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"### Error function \n",
"\n",
"Let's start by considering different combinations of error functions:\n",
"- load and energy (default);\n",
"- load and energy with vector component checking;\n",
"- load and displacement;\n",
"- load and displacement with vector component checking;\n",
"- load, energy and displacement;\n",
"- load, energy and displacement with vector component checking."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"error_functions = ['PW', 'PWV', 'PU', 'PUV', 'PWU', 'PWUV']"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"To run the analyses with the different parameter settings, we first define the name of the analysis directory and then we define the function `plot_load_displacement_curve` to run the analysis and plot the resulting load-displacement curve on an already existing figure. We monitor the tip displacement $u_{z,\\,tip}$ and nondimensionalize it with the length $l$ of the box beam."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"from pyNastran.op2.op2 import read_op2 # function to read Nastran op2 files\n",
"\n",
"analysis_directory_name = '14_Investigation_of_the_Equilibrium_Paths_of_the_Unreinforced_Box_Beam'\n",
"ANALYSIS_DIRECTORY_PATH = os.path.join(os.getcwd(), 'analyses', analysis_directory_name)\n",
"Z_COMPONENT_INDEX = 2 # index of the component of interest for displacements and loads (translation along z)\n",
"\n",
"def plot_load_displacement_curve(bdf_input, filename, axes, marker_style, line_label, run_flag=True):\n",
" # Run analysis\n",
" pynastran_utils.run_analysis(directory_path=ANALYSIS_DIRECTORY_PATH, bdf_object=bdf_input, filename=filename,\n",
" run_flag=run_flag)\n",
" # Read load and displacement history from op2 file\n",
" op2_filepath = os.path.join(ANALYSIS_DIRECTORY_PATH, filename + '.op2')\n",
" op2 = read_op2(op2_filename=op2_filepath, debug=None)\n",
" _, p, disp = pynastran_utils.read_load_displacement_history_from_op2(op2_object=op2,\n",
" displacement_node_id=tip_master_node_id)\n",
" # Plot load-displacement curve on input axes\n",
" axes.plot(disp[1][:,Z_COMPONENT_INDEX]/l, p[1][:, Z_COMPONENT_INDEX]/SOL_105_BUCKLING_LOAD, marker=marker_style,\n",
" linestyle='-', label=line_label)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Let's find the load-equilibrium curves for the different combinations of error functions."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nastran job nonlinear_analysis_error_function_PW.bdf completed\n",
"Wall time: 15.0 s\n"
]
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"text": [
"Nastran job nonlinear_analysis_error_function_PWV.bdf completed\n",
"Wall time: 13.0 s\n"
]
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"text": [
"Nastran job nonlinear_analysis_error_function_PU.bdf completed\n",
"Wall time: 18.0 s\n"
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"Nastran job nonlinear_analysis_error_function_PUV.bdf completed\n",
"Wall time: 19.0 s\n"
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"text": [
"Nastran job nonlinear_analysis_error_function_PWU.bdf completed\n",
"Wall time: 18.0 s\n"
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"Nastran job nonlinear_analysis_error_function_PWUV.bdf completed\n",
"Wall time: 19.0 s\n"
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"text/html": [
"\n",
"
\n",
"
\n",
" Figure\n",
"
\n",
" \n",
"
\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.lines import Line2D # class defining the characters for the marker styles\n",
"\n",
"plt.rcParams['figure.dpi'] = 120 # set default dpi of figures\n",
"markers = list(Line2D.markers.keys())[2:] # list of marker characters\n",
"nlparm_id = next(iter(box_beam_bdf.nlparms)) # retrieve id of NLPARM card\n",
"_, ax = plt.subplots() # create figure and axes\n",
"\n",
"# Run analysis for each set of error functions and plot load-displacement diagram\n",
"for count, fun in enumerate(error_functions):\n",
" box_beam_bdf.nlparms[nlparm_id].conv = fun\n",
" input_filename = \"nonlinear_analysis_error_function_\" + fun\n",
" plot_load_displacement_curve(box_beam_bdf, input_filename, ax, markers[count], f\"{fun}\", run_flag=False)\n",
"\n",
"# Set plot appearance\n",
"plt.xlabel(\"$u_{z,\\,tip}/l$\")\n",
"plt.ylabel(\"$P/P_\\mathrm{SOL\\/105}$\")\n",
"plt.legend()\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"We observe a difference between the equilibrium points calculated in the analyses with and without the displacement error functions, however all equilibrium points seem to lie on the same load-displacement curve.\n",
"\n",
"We keep the load and displacement error functions for our further analyses because they result in a more well-resolved load-displacement curve."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"box_beam_bdf.nlparms[nlparm_id].conv = 'PU'"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"### Convergence tolerances \n",
"\n",
"We consider three different combinations of convergence tolerances, taken from [table 21](https://help.hexagonmi.com/bundle/MSC_Nastran_2021.4/page/Nastran_Combined_Book/qrg/bulkno/TOC.NLPARM.xhtml) of MSC Nastran *Quick Reference Guide* manual on the default tolerances for static nonlinear SOL 106 models :\n",
"- $\\mathrm{EPSP}=\\mathrm{EPSU}=10^{-1}$;\n",
"- $\\mathrm{EPSP}=\\mathrm{EPSU}=10^{-2}$ (default);\n",
"- $\\mathrm{EPSP}=\\mathrm{EPSU}=10^{-3}$,\n",
"\n",
"where $\\mathrm{EPSP}$ and $\\mathrm{EPSU}$ are the convergence tolerances for the load function and the displacement function, respectively.\n",
"\n",
"Let's define the lists of convergence tolerances, run the analyses and visualize the results."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nastran job nonlinear_analysis_load_tolerance_1e-01.bdf completed\n",
"Wall time: 14.0 s\n"
]
},
{
"data": {
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"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
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""
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},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nastran job nonlinear_analysis_load_tolerance_1e-02.bdf completed\n",
"Wall time: 16.0 s\n"
]
},
{
"data": {
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"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
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{
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""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nastran job nonlinear_analysis_load_tolerance_1e-03.bdf completed\n",
"Wall time: 16.0 s\n"
]
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
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""
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"data": {
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"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
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},
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"text/html": [
"\n",
"
\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"initial_load_increments = [.5, .1, .01] # define list of initial load increments\n",
"\n",
"# Create figure, run analysis for each initial load increment and plot load-displacement diagram\n",
"_, ax = plt.subplots() # create figure and axes\n",
"for count, delta_mu_1 in enumerate(initial_load_increments):\n",
" box_beam_bdf.nlparms[nlparm_id].ninc = round(1/delta_mu_1)\n",
" input_filename = f\"nonlinear_analysis_initial_load_increment{delta_mu_1:.0e}\".replace('.','_')\n",
" plot_load_displacement_curve(box_beam_bdf, input_filename, ax, markers[count], f\"$\\Delta\\mu^1={delta_mu_1:.9g}$\",\n",
" run_flag=False)\n",
"\n",
"# Set plot appearance\n",
"plt.xlabel(\"$u_{z,\\,tip}/l$\")\n",
"plt.ylabel(\"$P/P_\\mathrm{SOL\\/105}$\")\n",
"plt.legend()\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The analysis with $\\Delta\\mu^1=0.1$ returns a final equilibrium point that is slightly different from the other two analyses. Consequently, this point might be a good candidate for the verification of the existence of other equilibrium paths."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Verification of the existence of other equilibrium paths \n",
"\n",
"***\n",
"\n",
"We run a first analysis considering the curve obtained using $\\Delta\\mu^1=0.1$. We define the two subcases with the following nonlinear analysis parameters:\n",
"\n",
"1. concentrated tip load, $\\Delta\\mu^1=0.1$, same remaining parameters as in the last analysis;\n",
"2. no load, fine nonlinear analysis parameters:\n",
" - $\\Delta\\mu^1=0.01$,\n",
" - $\\mathrm{EPSP}=\\mathrm{EPSU}=10^{-3}$,\n",
" - $\\mathrm{MAXBIS}=10$,\n",
" - $\\mathrm{MINALR}=0.01$,\n",
" - $\\mathrm{MAXALR}=1.0001$,\n",
" - $\\mathrm{DESITER}=5$.\n",
" - $\\mathrm{MXINC}=100$.\n",
"\n",
"The idea is to use small arc-length increments in the second subcase while unloading the structure and see what happens."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"# Modify nonlinear analysis parameters for first subcase\n",
"box_beam_bdf.nlparms[nlparm_id].ninc = 10\n",
"\n",
"# Define load set with zero applied force\n",
"zero_load_set_id = load_set_id + 1 # id of LOAD card\n",
"box_beam_bdf.add_load(zero_load_set_id, scale=1., scale_factors=[0.], load_ids=[force_set_id]) # add LOAD card\n",
"\n",
"# Create second subcase to unload the structure\n",
"second_subcase_id = 2\n",
"pynastran_utils.create_static_load_subcase(bdf_object=box_beam_bdf, subcase_id=second_subcase_id,\n",
" load_set_id=zero_load_set_id) # create subcase with zero applied load\n",
"pynastran_utils.set_up_arc_length_method(bdf_object=box_beam_bdf, subcase_id=second_subcase_id,\n",
" nlparm_id=second_subcase_id, ninc=100, conv='PUV', eps_p=1e-3, eps_u=1e-3,\n",
" max_bisect=10, minalr=.01, maxalr=1.0001, desiter=5, maxinc=100) # set up arc-length method for second subcase using parameters for very fine resolution of equilibrium path"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Let's run the analysis by calling the function `run_tangent_stiffness_matrix_eigenvalue_calculation` from the `pynatran_utils` module. This function sets up the `BDF` object to calculate the lowest eigenvalue of the tangent stiffness matrix, runs the analysis, reads the resulting op2 file and returns the corresponding `OP2` object."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nastran job equilibrium_path_verification_deltamu1_1e-1.bdf completed\n",
"Wall time: 253.0 s\n"
]
},
{
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}
],
"source": [
"input_name = 'equilibrium_path_verification_deltamu1_1e-1'\n",
"upper_eigenvalue = 1e2 # define upper bound for eigenvalues to be computed in order to prevent eigensolver from being unable to find all modes in default range\n",
"sol_106_op2 = pynastran_utils.run_tangent_stiffness_matrix_eigenvalue_calculation(\n",
" bdf_object=box_beam_bdf.__deepcopy__({}), method_set_id=zero_load_set_id + 1,\n",
" analysis_directory_path=ANALYSIS_DIRECTORY_PATH, upper_eig=upper_eigenvalue, lower_eig=-upper_eigenvalue,\n",
" input_name=input_name, run_flag=False)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Now we want to plot the load-displacement diagram and the eigenvalues $\\lambda$ of the tangent stiffness matrix $\\boldsymbol{K}_T$. In order to to this we define two functions.\n",
"\n",
"In the first function, `plot_load_displacement_diagram`, we take as input the displacement and load history of all subcases, we create a new figure and we plot the applied load and the displacement for every converged iteration of each subcase. For this plot we always consider the tip displacement $u_{z,\\,tip}$ nondimensioanlized with the length $l$ of the box beam.\n",
"\n",
"In the second function, `plot_tangent_stiffness_matrix_eigenvalues`, we take as input the path to the analysis directory, the name of the Nastran input file and the load history of all subcases. The function reads the eigenvalues of the tangent stiffness matrix from the f06 file, and creates a new figure with two subplots. It then plots the eigenvalues against the iteration number in the first subplot and the eigenvalues against the applied loads in the second subplot. In this way we can observe how the eigenvalues evolve both as the nonlinear analysis walks forward through the subcases and in relation with the applied loads."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"COLORS = plt.rcParams['axes.prop_cycle'].by_key()['color'] # retrieve list with succession of standard matplotlib colors\n",
"\n",
"def plot_load_displacement_diagram(disp, loads):\n",
" _, load_displacement_ax = plt.subplots() # create figure and axes\n",
" for subcase in loads: # iterate through the subcases\n",
" load_displacement_ax.plot(disp[subcase][:, Z_COMPONENT_INDEX]/l,\n",
" loads[subcase][:, Z_COMPONENT_INDEX]/SOL_105_BUCKLING_LOAD,\n",
" marker=markers[subcase - 1], label=f\"Subcase {subcase:d}\") # plot applied loads against displacement for each converged iteration\n",
" load_displacement_ax.legend() # set up legend\n",
" plt.xlabel(\"$u_{z,\\,tip}/l$\")\n",
" plt.ylabel(\"$P/P_\\mathrm{SOL\\/105}$\")\n",
" plt.grid()\n",
" plt.show()\n",
"\n",
"def plot_tangent_stiffness_matrix_eigenvalues(directory_path, input_name, loads):\n",
" # Read eigenvalues from f06 file\n",
" f06_path = os.path.join(directory_path, input_name + '.f06') # path to .f06 file\n",
" eigvals = pynastran_utils.read_kllrh_lowest_eigenvalues_from_f06(f06_path)\n",
" # Create figure with 2 subplots\n",
" _, eigvals_axs = plt.subplots(nrows=1, ncols=2, sharey='all')\n",
" iterations_count = 1\n",
" # Divide lowest eigenvalues by subcase and plot them\n",
" eigenvalues_count = 0\n",
" eigenvalues_by_subcase = {}\n",
" for subcase in loads:\n",
" no_load_steps = len(loads[subcase])\n",
" eigenvalues_by_subcase[subcase] = eigvals[:, eigenvalues_count:eigenvalues_count + no_load_steps]\n",
" eigenvalues_count += no_load_steps\n",
" # Plot eigenvalues vs iteration number in first subplot\n",
" eigvals_axs[0].plot(np.arange(iterations_count, eigenvalues_by_subcase[subcase].shape[1] + iterations_count),\n",
" eigenvalues_by_subcase[subcase].T, markers[subcase - 1],\n",
" color=COLORS[subcase - 1], label=f\"Subcase {subcase:d}\")\n",
" iterations_count += eigenvalues_by_subcase[subcase].shape[1]\n",
" # Plot eigenvalues vs applied load in second subplot\n",
" eigvals_axs[1].plot(loads[subcase][:eigenvalues_by_subcase[subcase].shape[1],\n",
" Z_COMPONENT_INDEX]/SOL_105_BUCKLING_LOAD, eigenvalues_by_subcase[subcase].T,\n",
" markers[subcase - 1], color=COLORS[subcase - 1])\n",
" # Set plot appearance\n",
" eigvals_axs[0].set_xlabel(\"Iteration\")\n",
" eigvals_axs[0].set_ylabel(\"$\\lambda$, N/mm\")\n",
" eigvals_axs[0].grid(visible=True)\n",
" eigvals_axs[1].set_xlabel(\"$P/P_\\mathrm{SOL\\/105}$\")\n",
" eigvals_axs[1].grid(visible=True)\n",
" plt.show()\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's read the load-displacement history from the `OP2` object returned with the last analysis and plot both the load-displacement and the eigenvalue diagram."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
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",
"text/html": [
"\n",
"
\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, applied_loads, tip_displacements = pynastran_utils.read_load_displacement_history_from_op2(\n",
" op2_object=sol_106_op2, displacement_node_id=tip_master_node_id)\n",
"plot_load_displacement_diagram(tip_displacements, applied_loads)\n",
"plot_tangent_stiffness_matrix_eigenvalues(ANALYSIS_DIRECTORY_PATH, input_name, applied_loads)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Surprise surprise! When we try to unload the box beam from the final point of the first subcase, we are actually unable to do it. The load and tip displacement initially decrease, but around $P/P_\\text{SOL 105}=1.05$ they spring back along a different trajectory. This appears to be a proof of the existence of a complementary path in the equilibrium manifold of our box beam, that is to say an equilibrium path that is different from the natural path and cannot be reached from the ground state.\n",
"\n",
"What's the nature of this new path that we have found? Looking at the eigenvalue diagram, we can see that the smallest magnitude eigenvalue crosses zero at approximately $P/P_\\text{SOL 105}=1.05$ and becomes negative. This means that we have unstable equilibrium points for at least a portion of the path. However, the eigenvalue appears to have a discontinuous behavior during the analysis. Why is that? This is most probably related to the fact that we are using the Lanczos method to calculate the eigenvalues of $\\boldsymbol{K}_T$. In fact, the Lanczos method calculates the first $N$ eigenvalues of a matrix from the smallest in magnitude to the largest. When we see a jump in the plot above, it is well possible that there is a change in which eigenvalue is the smallest in magnitude.\n",
"\n",
"For this reason, we rerun the analysis calculating more than one eigenvalue of $\\boldsymbol{K}_T$, setting $N=10$."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nastran job equilibrium_path_verification_deltamu1_1e-1_10eigenvalues.bdf completed\n",
"Wall time: 253.0 s\n"
]
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"no_eigenvalues = 10\n",
"input_name = f\"equilibrium_path_verification_deltamu1_1e-1_{no_eigenvalues:d}eigenvalues\"\n",
"sol_106_op2 = pynastran_utils.run_tangent_stiffness_matrix_eigenvalue_calculation(\n",
" bdf_object=box_beam_bdf.__deepcopy__({}), method_set_id=zero_load_set_id + 1, upper_eig=upper_eigenvalue,\n",
" lower_eig=-upper_eigenvalue, no_eigenvalues=no_eigenvalues, analysis_directory_path=ANALYSIS_DIRECTORY_PATH,\n",
" input_name=input_name, run_flag=False)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's read the load history and plot the eigenvalue diagram."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
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"model_id": "d6d8966ad7704cce92a4a68dcc9e869e",
"version_major": 2,
"version_minor": 0
},
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",
"text/html": [
"\n",
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" Figure\n",
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" \n",
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" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, applied_loads, _ = pynastran_utils.read_load_displacement_history_from_op2(op2_object=sol_106_op2,\n",
" displacement_node_id=tip_master_node_id)\n",
"plot_tangent_stiffness_matrix_eigenvalues(ANALYSIS_DIRECTORY_PATH, input_name, applied_loads)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"From this plot we can observe that in the first subcase the box beam ends up on the stable portion of a complementary path. During the second subcase the structure transitions to the unstable part of the equilibrium path. This is different from what we observed in a [previous analysis](06_Verification_of_SOL_106_Nonlinear_Buckling_Method.ipynb#tangent-stiffness-matrix) of the unreinforced box beam, where by loading the structure from its ground state we found a fully stable natural path. In this case, the jump to another equilibrium path must be ascribed to the very large arc-length increment used in the first subcase, which allows the solver to find equilibrium points that are not on the natural path.\n",
"\n",
"Now we want to get an additional proof that the newly found path is disconnected from the natural path of the box beam. For this reason, we are going to change the second subcase to unload the structure using the load control method. Our expectation is that, around $P/P_\\text{SOL 105}=1.05$, we should observe a jump in both the load-displacement and in the eigenvalue diagrams. This is because the load control method will constrain the load to decrease even if there is no solution on the current equilibrium path, forcing the solver to find a solution on another path, which hopefully will correspond to the natural path.\n",
"\n",
"Let's modify our `BDF` object by removing the `NLPCI` card, to enable the load control method, and by increasing the maximum number of iteration for each load increment."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"del box_beam_bdf.nlpcis[2] # remove NLPCI card"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's run the analysis and plot both the load-displacement and the eigenvalue diagrams."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nastran job equilibrium_path_verification_deltamu1_1e-1_10eigenvalues_load_control.bdf completed\n",
"Wall time: 271.0 s\n"
]
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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""
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"text/plain": [
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"metadata": {},
"output_type": "display_data"
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{
"data": {
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""
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"output_type": "display_data"
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"data": {
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""
]
},
"metadata": {},
"output_type": "display_data"
},
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",
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\n",
" "
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"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Modify convergence tolerances of first subcase\n",
"box_beam_bdf.nlparms[nlparm_id].ninc = 2\n",
"\n",
"# Reactivate arc-length method for second subcase\n",
"box_beam_bdf.add_nlpci(nlpci_id=second_subcase_id, Type='CRIS', maxalr=1.0001, minalr=1e-2, desiter=5, mxinc=100)\n",
"\n",
"# Run analysis\n",
"input_name = f\"equilibrium_path_verification_deltamu1_5e-1\".replace('.','_')\n",
"sol_106_deltamu1_5em1_op2 = pynastran_utils.run_tangent_stiffness_matrix_eigenvalue_calculation(\n",
" bdf_object=box_beam_bdf.__deepcopy__({}), method_set_id=zero_load_set_id + 1, upper_eig=upper_eigenvalue,\n",
" lower_eig=-upper_eigenvalue, no_eigenvalues=no_eigenvalues, analysis_directory_path=ANALYSIS_DIRECTORY_PATH,\n",
" input_name=input_name, run_flag=False) # run analysis and read OP2 file\n",
"\n",
"# Plot results\n",
"_, applied_loads_deltamu1_5em1, tip_displacements_deltamu1_5em1 = pynastran_utils.read_load_displacement_history_from_op2(\n",
" op2_object=sol_106_deltamu1_5em1_op2, displacement_node_id=tip_master_node_id) # find load and displacement history\n",
"plot_load_displacement_diagram(tip_displacements_deltamu1_5em1, applied_loads_deltamu1_5em1) # plot load-displacement diagram\n",
"plot_tangent_stiffness_matrix_eigenvalues(ANALYSIS_DIRECTORY_PATH, input_name, applied_loads_deltamu1_5em1) # plot eigenvalue diagram"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"In this case, the box beam is completely unloaded during the second subcase, meaning that the solver moved along the natural path of the structure. In fact, we can observe that all eigenvalues of $\\boldsymbol{K_T}$ are always positive, and that there is no jump in their trajectory. This means that the first subcase ends on an equilibrium point of the natural equilibrium path and as a consequence we are able to completely unload the structure from such point."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualization of 3D equilibrium diagram and deformation shapes \n",
"\n",
"***\n",
"\n",
"Now we want to visualize together the natural and the complementary path. Doing this on a 2D equilibrium path visualizing only at the tip displacement would most probably not result more insigthful than our previous plots. So, how can we achieve a better characterization of the differences among the paths? If we consider the tip displacement as a surrogate of the global deformation state of the structure, we could think of another surrogate giving us an idea of the local deformation state. In that way, we could plot a 3D load-displacement diagram with the applied load against the tip and the local displacement.\n",
"\n",
"Considering the nonlinear deformation shape of the box beam obtained in our previous analyses, an appropriate choice for the local displacement could be the displacement along the $z$-axis of the node where we observe the maximum displacement in the linear buckling analysis (SOL 105). As a consequence, we delete our previous subcases and call the function `run_sol_105_buckling_analysis` from the `pynastran_utils` module to find the id of the node where the maximum displacement occurs."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"WARNING: subcase.py:683 nwords_to_lsem=1000 nwords_to_lsem//4=250\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Delete subcases 1 and 2\n",
"for subcase_id in range(1, 3):\n",
" del box_beam_bdf.subcases[subcase_id]\n",
"\n",
"# Run linear buckling analysis\n",
"input_name = \"linear_buckling_analysis\"\n",
"sol_105_op2 = pynastran_utils.run_sol_105_buckling_analysis(bdf_object=box_beam_bdf.__deepcopy__({}),\n",
" static_load_set_id=force_set_id,\n",
"analysis_directory_path=ANALYSIS_DIRECTORY_PATH, input_name=input_name, run_flag=False)\n",
"\n",
"# Find node where max displacement occurs\n",
"max_displacement_index = np.argmax(sol_105_op2.eigenvectors[second_subcase_id].data[0, :, Z_COMPONENT_INDEX]) # index where max displacement occurs in data array\n",
"max_displacement_node_id = sol_105_op2.eigenvectors[second_subcase_id].node_gridtype[\n",
" max_displacement_index, 0] # id of node where max displacement occurs"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's visualize the position of the node."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
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",
"text/html": [
"\n",
"
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"
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" Figure\n",
"
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" \n",
"
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" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot critical buckling mode\n",
"amplification_factor = 200 # define amplification factor for displacements\n",
"_, ax, cbar = pynastran_utils.plot_buckling_mode(op2_object=sol_105_op2, subcase_id=second_subcase_id,\n",
" displacement_component='tz', colormap='sunset',\n",
" displacement_amplification_factor=amplification_factor)\n",
"\n",
"# Plot node of max displacement\n",
"max_displacement_node_xyz = sol_105_op2.nodes[max_displacement_node_id\n",
" ].xyz + amplification_factor*sol_105_op2.eigenvectors[\n",
" second_subcase_id].data[0, max_displacement_index, 0:3] # we multiply the eigenvector by the default displacement scale factor of plot_buckling_mode\n",
"ax.plot(max_displacement_node_xyz[0], max_displacement_node_xyz[1], max_displacement_node_xyz[2], 'x',\n",
" label=f\"Node {max_displacement_node_id:d} (max displacement)\", zorder=4)\n",
"ax.legend()\n",
"\n",
"# Define function to adjust axes ticks and labels' position\n",
"def adjust_3d_plot(axes, colorbar=None):\n",
" axes.locator_params(axis='x', nbins=3) # set number of ticks of x-axis\n",
" axes.locator_params(axis='z', nbins=2) # set number of ticks of z-axis\n",
" axes.tick_params(axis='y', which='major', pad=20) # adjust position of ticks' label of y-axis\n",
" axes.tick_params(axis='z', which='major', pad=6) # adjust position of ticks' label of z-axis\n",
" axes.yaxis.labelpad = 60 # adjust position of y-axis's label\n",
" axes.zaxis.labelpad = 10 # adjust position of z-axis's label\n",
" if colorbar is not None:\n",
" colorbar.ax.set_position(colorbar.ax.get_position().shrunk(1.0, .66)) # decrease colorbar size\n",
" colorbar.ax.set_position(colorbar.ax.get_position().translated(-0.05, .14)) # move colorbar upwards\n",
"\n",
"# Set axes ticks and labels' position and show plot\n",
"adjust_3d_plot(ax, cbar)\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"The last step before producing our 3D equilibrium diagram consists in finding the local displacement history at node 181 for the natural and complementary paths. For the latter we are going to use the results of the second subcase of the analysis with $\\Delta\\mu^1=0.5$."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"_, _, local_displacements_natural_path = pynastran_utils.read_load_displacement_history_from_op2(\n",
" op2_object=sol_106_deltamu1_5em1_op2, displacement_node_id=max_displacement_node_id)\n",
"_, _, local_displacements_complementary_path = pynastran_utils.read_load_displacement_history_from_op2(\n",
" op2_object=sol_106_op2, displacement_node_id=max_displacement_node_id)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now produce our 3D equilibrium diagram, where we nondimensionalize the local displacement with the width of the box beam."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "f70f6c208e5b4ddd8d1ad8d537fa1b33",
"version_major": 2,
"version_minor": 0
},
"image/png": 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",
"text/html": [
"\n",
"
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"
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" Figure\n",
"
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" \n",
"
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" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create figure with three-dimensional axes\n",
"plt.figure()\n",
"ax_3d = plt.axes(projection='3d')\n",
"\n",
"# Plot applied load against tip and local displacements\n",
"nondimensional_local_displacements = {\n",
" \"natural path\": local_displacements_natural_path[second_subcase_id][:, Z_COMPONENT_INDEX]/w,\n",
" \"complementary path\": local_displacements_complementary_path[second_subcase_id][:, Z_COMPONENT_INDEX]/w}\n",
"nondimensional_tip_displacements = {\n",
" \"natural path\": tip_displacements_deltamu1_5em1[second_subcase_id][:, Z_COMPONENT_INDEX]/l,\n",
" \"complementary path\": tip_displacements[second_subcase_id][:, Z_COMPONENT_INDEX]/l}\n",
"nondimensional_applied_loads = {\n",
" \"natural path\": applied_loads_deltamu1_5em1[second_subcase_id][:, Z_COMPONENT_INDEX]/SOL_105_BUCKLING_LOAD,\n",
" \"complementary path\": applied_loads[second_subcase_id][:, Z_COMPONENT_INDEX]/SOL_105_BUCKLING_LOAD}\n",
"for count, key in enumerate(nondimensional_local_displacements.keys()):\n",
" ax_3d.plot3D(nondimensional_local_displacements[key], nondimensional_tip_displacements[key],\n",
" nondimensional_applied_loads[key], markers[count], color=COLORS[count], label=key) # plot applied loads against tip and local displacements\n",
"\n",
"# Set plot appearance\n",
"ax_3d.set_xlabel(f\"$u_{{z,\\,{max_displacement_node_id:d}}}/w$\")\n",
"ax_3d.set_ylabel(\"$u_{z,\\,tip}/l$\")\n",
"ax_3d.set_zlabel(\"$P/P_\\mathrm{SOL\\/105}$\")\n",
"ax_3d.grid(visible=True)\n",
"ax_3d.legend()\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"With this plot we can get a clear visualization of the disconnection between the natural and the complementary path. However, we should remind that the equilibrium manifold of our box beam has actually as many dimensions as the number of the degrees of freedom plus the number of controlling parameters (only the magnitude of the applied load in this case). This means that our 3D equilibrium diagram is only an extremely partial representation of the equilibrium manifold and the fact that the paths appear disconnected for the investigated range of loads and displacements does not imply that the paths might not connect eslewhere in the equilibrium manifold. Nonetheless, this result is useful to make us aware that, while we are right to expect a stable natural equilibrium path without critical points for a box beam with a concetrated load at the tip, we might jump on a complementary path if the arc-length increment is large enough to allow the solver to do so.\n",
"\n",
"What is the deformation shape along the different equilibrium paths? Let's explore this by cutting the equilibrium paths with a plane at $P/P_\\text{SOL 105}=1.9$."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4d38cd5733ea49328b7e16cf07ef1f26",
"version_major": 2,
"version_minor": 0
},
"image/png": 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",
"text/html": [
"\n",
"
\n",
"
\n",
" Figure\n",
"
\n",
" \n",
"
\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create figure with three-dimensional axes\n",
"plt.figure()\n",
"ax_3d = plt.axes(projection='3d')\n",
"\n",
"# Plot part of the equilibrium paths that should not be visible on top of the plane\n",
"load_factor = 1.9\n",
"for count, key in enumerate(nondimensional_local_displacements.keys()):\n",
" ax_3d.plot3D(nondimensional_local_displacements[key], nondimensional_tip_displacements[key],\n",
" np.where(nondimensional_applied_loads[key] < load_factor, nondimensional_applied_loads[key], np.nan),\n",
" markers[count], color=COLORS[count])\n",
"\n",
"# Plot P/Psol105=1.9 plane\n",
"local_displacements_array = np.concatenate(tuple(nondimensional_local_displacements[key] for key in\n",
" nondimensional_local_displacements))\n",
"tip_displacements_array = np.concatenate(tuple(nondimensional_tip_displacements[key] for key in\n",
" nondimensional_tip_displacements))\n",
"xx, yy = np.meshgrid([np.min(local_displacements_array), np.max(local_displacements_array)],\n",
" [np.min(tip_displacements_array), np.max(tip_displacements_array)])\n",
"ax_3d.plot_surface(xx, yy, np.full_like(xx, load_factor), alpha=0.4, color=COLORS[len(nondimensional_local_displacements)])\n",
"\n",
"# Plot part of the equilibrium paths that should be visible on top of the plane\n",
"for count, key in enumerate(nondimensional_local_displacements.keys()):\n",
" ax_3d.plot3D(nondimensional_local_displacements[key], nondimensional_tip_displacements[key],\n",
" np.where(nondimensional_applied_loads[key] >= load_factor, nondimensional_applied_loads[key], np.nan),\n",
" markers[count], color=COLORS[count], zorder=3)\n",
"\n",
"# Set plot appearance\n",
"ax_3d.set_xlabel(f\"$u_{{z,\\,{max_displacement_node_id:d}}}/w$\")\n",
"ax_3d.set_ylabel(\"$u_{z,\\,tip}/l$\")\n",
"ax_3d.set_zlabel(\"$P/P_\\mathrm{SOL\\/105}$\")\n",
"ax_3d.grid(visible=True)\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's plot the deformation shape at the closest equilibrium points to the $P/P_\\text{SOL 105}=1.9$ plane."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Deformation on natural path:\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ce5c855c84df499dbd4d8df3d7bcbc92",
"version_major": 2,
"version_minor": 0
},
"image/png": 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",
"text/html": [
"\n",
"
\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot static deformation of natural path\n",
"print(\"Deformation on natural path:\")\n",
"load_step = np.argmin(np.abs(nondimensional_applied_loads[\"natural path\"] - load_factor)) + 1 # find closest load step to plane\n",
"_, ax, cbar = pynastran_utils.plot_static_deformation(op2_object=sol_106_deltamu1_5em1_op2, subcase_id=second_subcase_id,\n",
" load_step=load_step, displacement_component='tz')\n",
"adjust_3d_plot(ax, cbar)\n",
"plt.show()\n",
"\n",
"# Plot first deformation on complementary path\n",
"print(\"Deformations on complementary path:\")\n",
"min_load_index = np.argmin(nondimensional_applied_loads[key])\n",
"load_step = np.argmin(np.abs(nondimensional_applied_loads[key][:min_load_index] - load_factor)) + 1 # find closest load step to plane on first side of the path\n",
"_, ax, cbar = pynastran_utils.plot_static_deformation(op2_object=sol_106_op2, subcase_id=second_subcase_id,\n",
" load_step=load_step, displacement_component='tz')\n",
"adjust_3d_plot(ax, cbar)\n",
"plt.show()\n",
"\n",
"# Plot second deformation on complementary path\n",
"load_step = np.argmin(np.abs(nondimensional_applied_loads[key][min_load_index:] - load_factor)) + min_load_index + 1 # find closest load step to plane on second side of the path\n",
"_, ax, cbar = pynastran_utils.plot_static_deformation(op2_object=sol_106_op2, subcase_id=second_subcase_id,\n",
" load_step=load_step, displacement_component='tz')\n",
"adjust_3d_plot(ax, cbar)\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusion \n",
"\n",
"***\n",
"\n",
"In this notebook we have verified the existence of at least one complementary path for the unreinforced box beam beyond the natural path. This was possible by choosing very coarse arc-length increments and by playing around with the initial load increment of the nonlinear analysis. We acknowledge that the procedure employed here is rather random, as there is no way to tell a priori whether the selection of a certain value for a certain nonlinear analysis parameter will lead the arc-length solver to land on the natural path or on a complementary path. Furthermore, our investigation does not represent by any means an exhaustive study on all other possible complementary paths that might be present in the vicinity of the natural path. An appropriate tool would be needed to perform this study, as Nastran does not offer any means to perform this investigation in a systematic way. However, this is beyond the scope of our focus.\n",
"\n",
"Nonetheless we gained useful insights and we were able to plot 3D equilibrium diagrams depicting at the same time the global and the local deformation state of the box beam. The tip displacement was used as a surrogate for the global state, while the displacement along $z$ of the node with the largest displacement predicted by the linear buckling analysis was used for the local state.\n",
"\n",
"Overall, we understood that while we are right to expect a stable natural path without critical points for a box beam with a concetrated load at the tip, the solver might jump on a complementary path if the arc-length increments are too large.\n",
"\n",
"In the [next notebook](15_Investigation_of_the_Equilibrium_Paths_of_the_Box_Beam_Reinforced_with_Ribs.ipynb) we will carry out an analogous investigation on the box beam reinforced with ribs."
]
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