{ "cells": [ { "cell_type": "raw", "metadata": { "collapsed": false, "pycharm": { "name": "#%% raw\n" } }, "source": [ "Code provided under BSD 3-Clause license, all other content under a Creative Commons Attribution license, CC-BY 4.0. (c) 2022 Francesco Mario Antonio Mitrotta." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": true, "pycharm": { "name": "#%% md\n" } }, "source": [ "# Sensitivity Study of SOL 106's Nonlinear Analysis Parameters\n", "\n", "In this notebook we investigate the effect of varying the nonlinear analysis parameters of MSC Natran SOL 106 on the load-displacement diagram of a box beam structure under a bending load.\n", "\n", "* [Geometry and material properties](#properties)\n", "* [Setup of the numerical model](#numerical-model)\n", "* [Sensitivity analysis](#sensitivity)\n", " * [Error function](#error-function)\n", " * [Convergence tolerance](#convergence-tolerance)\n", " * [Initial load increment](#ninc)\n", " * [Desired number of iteration](#desiter)\n", " * [Minimum allowable arc-length adjustment ratio](#minalr)\n", " * [Maximum allowable arc-length adjustment ratio](#maxalr)\n", "* [Conclusion](#conclusion)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt # package for plotting\n", "import tol_colors as tc # package for colorblind-friendly colors\n", "\n", "plt.rc('axes', prop_cycle=plt.cycler('color', list(tc.tol_cset('bright'))))\n", "FIRST_SUBCASE_ID = 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geometry and material properties \n", "\n", "***\n", "\n", "We consider the same box beam geometry and material properties of our [previous notebook](04_Nonlinear_Buckling_Analysis_of_a_Box_Beam.ipynb#properties).\n", "\n", "![Box beam geometry.](resources/04_BoxBeamGeometry.svg \"Box beam geometry.\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "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": [ "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\"\"\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "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": [ "## Setup of the numerical model \n", "\n", "***\n", "\n", "We discretize our box beam using the function `mesh_box_beam` from the `box_beam_utils` module. We choose the target length of the shell elements based on the results of the mesh convergence study of our [previous notebook](04_Nonlinear_Buckling_Analysis_of_a_Box_Beam.ipynb#mesh-convergence). Then we use the function `create_base_bdf_input` from the same module to create a base `BDF` object including material and element properties, nodes, quadrilateral shell elements, boundary conditions and some settings for the output files. Finally, we visualize the cards of our bdf input with the method `get_bdf_stats`." ] }, { "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 # module with useful functions to work with box beam problems\n", "\n", "shell_element_length = 59.9 # [mm]\n", "box_beam_mesh = box_beam_utils.mesh_box_beam(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_input = box_beam_utils.create_base_bdf_input(\n", " young_modulus=E, poisson_ratio=nu, density=rho, shell_thickness=t, nodes_xyz_array=nodes_coordinates_array,\n", " nodes_connectivity_matrix=nodes_connectivity_matrix) # create base BDF object\n", "print(box_beam_bdf_input.get_bdf_stats())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "To complete the setup of our numerical model, we need to define a load. We consider a concentrated bending load applied at the tip section, which is rigidly constrained. We choose this configuration among the different ones investigated in our last notebook because it's the one that showed the most similar response to a global beam-like behavior.\n", "\n", "![Concentrated tip load.](resources/04_BoxBeamConcentratedLoad.svg \"Concentrated tip load.\")\n", "\n", "We define a master node at the center of the tip section and we rigidly constrain all the nodes along the tip section to the master node with a `RBE2` element. Then we apply a unitary force along the $z$-axis at the master node using a `FORCE` card." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/plain": [ "FORCE 11 3389 1. 0. 0. 1." ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np # package to work with arrays and linear algebra\n", "\n", "# Add RBE2 element to make tip section rigid\n", "MASTER_NODE_ID = np.size(nodes_coordinates_array, 0) + 1 # define id of master node of tip section\n", "box_beam_bdf_input.add_grid(MASTER_NODE_ID, [w/2, l, 0.]) # add GRID card to define master node of tip section\n", "nodes_ids = np.arange(1, np.size(nodes_coordinates_array, 0) + 1) # find the id of all nodes\n", "tip_nodes_ids = nodes_ids[nodes_coordinates_array[:,1]==l] # find id of the nodes located at the tip section\n", "rbe2_eid = len(box_beam_bdf_input.elements) + 1 # define id of the RBE2 element\n", "box_beam_bdf_input.add_rbe2(rbe2_eid, MASTER_NODE_ID, '123456', tip_nodes_ids) # add RBE2 card\n", "\n", "# Add concentrated force\n", "force_set_id = 11\n", "concentrated_force_magnitude = 1.\n", "concentrated_force_direction = [0., 0., 1.]\n", "box_beam_bdf_input.add_force(sid=force_set_id, node=MASTER_NODE_ID, mag=concentrated_force_magnitude,\n", " xyz=concentrated_force_direction)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Sensitivity analysis \n", "\n", "***\n", "\n", "Now we want to evaluate the influence of SOL 106's nonlinear analysis parameters on the results of the analysis. We are going to assess this by observing the change of the load-displacement curve of the box beam with the value of each considered parameter. The monitored displacement will be the $z$-displacement of the master node.\n", "\n", "We set up the nonlinear analysis with the arc-length method using the function `set_up_arc_length_method` from the `pynastran_utils` module. We use Nastran's default parameters to run a reference analysis." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "from resources import pynastran_utils # module with useful functions to work with pyNastran objects\n", "\n", "pynastran_utils.set_up_arc_length_method(box_beam_bdf_input, kstep=-1) # set up SOL 106 with arc-length method setting KSTEP=-1 to prevent the solver from ignoring the displacement error function" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "We recall the buckling load predicted by SOL 105 from our [last notebook](04_Nonlinear_Buckling_Analysis_of_a_Box_Beam.ipynb#concentrated-load-rigid-tip) and we create a subcase where we apply such load to our box beam. Finally, we run the analysis and we plot both the load-displacement diagram and the structural deformation at the end of the analysis. For the displacement we monitor the displacement along $z$ of the master node of the tip section, $u_{z, tip}$, and we nondimensionalize it with the length of the box beam $l$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import os # package to work with directories and files\n", "from pyNastran.op2.op2 import read_op2 # function to read Nastran op2 files\n", "from resources import plot_utils # module with useful functions to plot results\n", "\n", "# Create subcase where we apply the buckling load predicted by SOL 105\n", "sol_105_buckling_load = 1654. # [N]\n", "load_set_id = force_set_id + 1 # define id of load set\n", "box_beam_bdf_input.add_load(sid=load_set_id, scale=1., scale_factors=[sol_105_buckling_load], load_ids=[force_set_id]) # add LOAD card to define load set\n", "pynastran_utils.create_static_load_subcase(bdf=box_beam_bdf_input, subcase_id=1, load_set_id=load_set_id) # create subcase with defined load set\n", "\n", "# Run analysis\n", "analysis_directory_name = '05_Sensitivity_Study_of_SOL_106_Nonlinear_Analysis_Parameters'\n", "analysis_directory_path = os.path.join(os.getcwd(), 'analyses', analysis_directory_name)\n", "input_filename = 'nonlinear_analysis_reference'\n", "pynastran_utils.run_analysis(directory_path=analysis_directory_path, bdf=box_beam_bdf_input,\n", " filename=input_filename, run_flag=False)\n", "\n", "# Read op2 file\n", "op2_filepath = os.path.join(analysis_directory_path, input_filename + '.op2')\n", "sol_105_op2 = read_op2(op2_filename=op2_filepath, debug=None, load_geometry=True)\n", "\n", "# Find load and displacement history\n", "_, loads, displacements = pynastran_utils.read_load_displacement_history_from_op2(\n", " op2=sol_105_op2, node_ids=[MASTER_NODE_ID])\n", "\n", "# Plot load-displacement diagram\n", "plt.rcParams['figure.dpi'] = 120 # default dpi of figures\n", "load_component_index = 2 # select load along z-axis\n", "displacement_component_index = 2 # select displacement along z-axis\n", "_, ax = plt.subplots() # create figure with one subplot\n", "ax.plot(displacements[MASTER_NODE_ID][FIRST_SUBCASE_ID][:,displacement_component_index]/l*100,\n", " loads[FIRST_SUBCASE_ID][:, load_component_index]/sol_105_buckling_load, 'o-') # plot load vs displacement\n", "plt.xlabel('$u_{z, tip}/l$, %')\n", "plt.ylabel('$P/P_{SOL 105}$')\n", "plt.grid()\n", "plt.show()\n", "\n", "# Plot structural deformation at the last converged iteration\n", "_, ax, cbar = plot_utils.plot_deformation(op2=sol_105_op2, displacement_component='tz', length_unit=\"mm\")\n", "ax.locator_params(axis='x', nbins=3) # number of x-axis ticks\n", "ax.locator_params(axis='z', nbins=2) # number of z-axis ticks\n", "ax.tick_params(axis='y', which='major', pad=20) # distance of y-axis tick labels\n", "ax.tick_params(axis='z', which='major', pad=6) # distance of z-axis tick labels\n", "ax.yaxis.labelpad = 60 # distance of y-axis label\n", "ax.zaxis.labelpad = 10 # distance of z-axis label\n", "cbar.ax.set_position(cbar.ax.get_position().shrunk(1.0, .66)) # decrease colorbar size\n", "cbar.ax.set_position(cbar.ax.get_position().translated(0, .14)) # move colorbar upwards\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The load-displacement diagram appears to be linear, suggesting that the nonlinear analysis parameters should not have any influence on the results for the load range investigated here. However, the final deformation of the structure indicates the presence of a slightly buckled-like shape, as a blob can be observed over the root of the box beam, suggesting that some nonlinear effects may come into play." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Error function \n", "\n", "The first parameter that we are going to investigate is the error function, defined by the CONV field of the `NLPARM` card. The choice of the error functions determines how convergence is checked for every load increment. Three different error functions are available in Nastran:\n", "- energy error $E_w$\n", "$$E_w=\\frac{\\left|\\boldsymbol{R}\\cdot\\boldsymbol{\\Delta u}\\right|}{E^*},$$\n", "- load error $E_p$\n", "$$E_p=\\frac{\\left|\\boldsymbol{R}\\cdot\\boldsymbol{u}\\right|}{\\left|\\boldsymbol{P^\\prime}\\cdot\\boldsymbol{u}\\right|},$$\n", "- displacement error $E_u$\n", "$$E_u=\\frac{q}{1-q}\\frac{\\left|\\boldsymbol{w}\\cdot\\boldsymbol{\\Delta u}\\right|}{\\left|\\boldsymbol{w}\\cdot\\boldsymbol{u}\\right|}.$$\n", "\n", "In the above expressions $| ... |$ represents the vector norm, that is to say $|\\boldsymbol{x}|=\\sum_{r=1}^n |x_r|$, $\\boldsymbol{R}$ represents the vector of out-of-balance forces (residual), $\\boldsymbol{\\Delta u}$ represents the vector of incremental displacements at the current iteration, $E^*=\\left|\\boldsymbol{P^\\prime}\\cdot\\boldsymbol{u}\\right|$ is the reference energy, with $\\boldsymbol{P^\\prime}=\\boldsymbol{\\Delta P} + \\boldsymbol{P}$. $\\boldsymbol{u}$, and $\\boldsymbol{\\Delta P}$ are respectively the displacement vector and the incremental load vector at the current iteration, while $\\boldsymbol{P}$ is the total load at the previous loading step. Finally, $\\boldsymbol{w}$ is a weighting function formed by collecting the square root of the diagonal terms of the stiffness matrix and $q$ is a contraction factor defined as the ratio of displacement increments between two successive steps. For more details please refer to the [_NX Nastran Handbook of Nonlinear Analysis (Solutions 106 and 129)_ manual](chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://docs.plm.automation.siemens.com/data_services/resources/nxnastran/10/help/en_US/custom/nonlinear_106/nonlinear_106_NXN.pdf).\n", "\n", "We are going to consider four 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.\n", "\n", "Vector component checking consists in performing the convergence checking on the maximum vector component of all components in the model.\n", "\n", "Let's define the list of the test flags corresponding to the mentioned combinations of functions." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "error_functions = ['PW', 'PWV', 'PU', 'PUV', 'PWU', 'PWUV']" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Since we need to plot the load-displacement diagram for different values of the nonlinear analysis parameters, we define a list of markers to use in the plots. We also define the function `plot_load_displacement_diagram` to run the Nastran analysis, read the load and displacement history from the op2 file and plot the load-displacement curve on a pre-defined figure." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "from matplotlib.lines import Line2D # class defining the characters for the marker styles\n", "\n", "markers = list(Line2D.markers.keys())[2:] # store list of markers\n", "\n", "# Define function to run analysis and plot load-displacement diagram\n", "def plot_load_displacement_diagram(bdf_input, filename, axes, marker_style, line_label):\n", " # Run analysis\n", " pynastran_utils.run_analysis(directory_path=analysis_directory_path, bdf=bdf_input, filename=filename,\n", " run_flag=False)\n", " # Read load and displacement history from op2 file\n", " op2_path = os.path.join(analysis_directory_path, filename + '.op2')\n", " op2 = read_op2(op2_path, debug=None)\n", " _, p, disp = pynastran_utils.read_load_displacement_history_from_op2(\n", " op2=op2, node_ids=[MASTER_NODE_ID])\n", " # Plot load-displacement curve on input axes\n", " axes.plot(disp[MASTER_NODE_ID][FIRST_SUBCASE_ID][:,displacement_component_index]/l*100,\n", " p[FIRST_SUBCASE_ID][:, load_component_index]/sol_105_buckling_load,\n", " marker=marker_style, linestyle='-', label=line_label)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Now we can run the analyses for the different combinations of error functions and plot the results." ] }, { "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_PU.bdf completed\n", "Wall time: 9.0 s\n", "Nastran job nonlinear_analysis_error_function_PUV.bdf completed\n", "Wall time: 10.0 s\n", "Nastran job nonlinear_analysis_error_function_PWU.bdf completed\n", "Wall time: 9.0 s\n", "Nastran job nonlinear_analysis_error_function_PWUV.bdf completed\n", "Wall time: 9.0 s\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nlparm_id = next(iter(box_beam_bdf_input.nlparms)) # retrieve id of NLPARM card\n", "_, ax = plt.subplots() # create figure with one subplot\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_input.nlparms[nlparm_id].conv = fun\n", " input_filename = \"nonlinear_analysis_error_function_\" + fun\n", " plot_load_displacement_diagram(box_beam_bdf_input, input_filename, ax, markers[count], f\"{fun}\")\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": [ "The results do not appear to be influenced by the error functions. This suggests that the buckled-like shape observed earlier in the deformation plot develops only at the end of the load range investigated, so no nonlinear behavior can be observed. As a consequence, the response of the structure appears linear and the nonlinear parameters cannot have any effect on the equilibrium path found by the analysis. For this reason, we restore the default load and energy error functions combination." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "box_beam_bdf_input.nlparms[nlparm_id].conv = 'PW'" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Convergence tolerance \n", "\n", "The second parameter that we are going to consider is the convergence tolerance, which corresponds to the value of the error function that determines the convergence of the load increment iteration. The convergence tolerance is defined by the EPSP and the EPSW fields of the `NLPARM` card for the load and energy function, respectively.\n", "\n", "We are going to 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", "- $EPSP=10^{-1}$, $EPSW=10^{-1}$;\n", "- $EPSP=10^{-2}$, $EPSW=10^{-3}$;\n", "- $EPSP=10^{-3}$, $EPSW=10^{-7}$,\n", "\n", "where the default values are $EPSP=10^{-2}$ and $EPSW=10^{-2}$.\n", "\n", "Let's define the list of convergence tolerances, run the analyses and visualize the results." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define error tolerances\n", "load_tolerances = [1e-1, 1e-2, 1e-3]\n", "work_tolerances = [1e-1, 1e-3, 1e-7]\n", "\n", "# Create figure, run analysis for each couple of convergence tolerances and plot load-displacement diagram\n", "_, ax = plt.subplots()\n", "for count, epsp in enumerate(load_tolerances):\n", " epsw = work_tolerances[count]\n", " box_beam_bdf_input.nlparms[nlparm_id].eps_p = epsp\n", " box_beam_bdf_input.nlparms[nlparm_id].eps_w = epsw\n", " input_filename = f\"nonlinear_analysis_load_tolerance_{epsp:.0e}\".replace('.','_')\n", " plot_load_displacement_diagram(box_beam_bdf_input, input_filename, ax, markers[count],\n", " f\"$EPSP={epsp:.0e},\\,EPSW={epsw:.0e}$\")\n", "\n", "# Set plot appearance\n", "plt.xlabel(\"$u_{z,\\,tip}$, %\")\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": [ "As expected, also in this case the equilibrium diagram does not show any dependece on the considered parameter, so we switch back to the default values." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "box_beam_bdf_input.nlparms[nlparm_id].eps_p = 1e-2\n", "box_beam_bdf_input.nlparms[nlparm_id].eps_w = 1e-2" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Initial load increment \n", "\n", "Now we consider the initial load increment, which is related to the field NINC of the `NLPARM` card. When using the arc-length method, as in our case, the initial load increment $\\Delta\\mu^1$ is defined as:\n", "$$\\Delta\\mu^1=\\frac{1}{NINC},$$\n", "\n", "where $NINC$ represents the number of increments in a nonlinear analysis employing the Newton method with constant load increments.\n", "\n", "We are going to consider three values for the initial load increment:\n", "- $\\Delta\\mu^1=0.5$;\n", "- $\\Delta\\mu^1=0.1$ (default);\n", "- $\\Delta\\mu^1=0.01$.\n", "\n", "Let's define the list of initial load increments, run the analyses and visualize the results." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nastran job nonlinear_analysis_initial_load_increment_0_01.bdf completed\n", "Wall time: 11.0 s\n" ] }, { "data": { "image/png": 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", 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" ] }, "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()\n", "for count, delta_mu_1 in enumerate(initial_load_increments):\n", " box_beam_bdf_input.nlparms[nlparm_id].ninc = int(1/delta_mu_1)\n", " input_filename = f\"nonlinear_analysis_initial_load_increment_{delta_mu_1:.9g}\".replace('.','_')\n", " plot_load_displacement_diagram(box_beam_bdf_input, input_filename, ax, markers[count],\n", " f\"$\\Delta\\mu^1={delta_mu_1:.9g}$\")\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 that a smaller initial load increment results in a better resolution of the load-displacement curve, but the equilibrium path is not affected by the change in the initial load increment. As a consequence we restore the default value of the NINC field." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "box_beam_bdf_input.nlparms[nlparm_id].ninc = 10" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Desired number of iterations \n", "\n", "Now we want to vary the desired number of iteration $I_d$, defined by the DESITER field of the `NLPCI` card. This parameter controls how the arc-length $\\Delta l$ is updated between successive load increments:\n", "$$\\Delta l_{new}=\\sqrt{\\frac{I_d}{I_{max}}}\\Delta l_{old},$$\n", "where $I_{max}$ is the number of iterations required for convergence at the preceding step.\n", "\n", "We are going to consider three values of desired number of iterations:\n", "- $I_d=20$;\n", "- $I_d=12$ (default);\n", "- $I_d=5$.\n", "\n", "Let's define the list of desired number of iterations, run the analyses and visualize the results." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "no_iterations = [20, 12, 5] # define list of desired numbers of iterations\n", "\n", "# Create figure, run analysis for each desired number of iterations, plot load-displacement diagram\n", "_, ax = plt.subplots()\n", "for count, desiter in enumerate(no_iterations):\n", " box_beam_bdf_input.nlpcis[nlparm_id].desiter = desiter\n", " input_filename = f\"nonlinear_analysis_desiter_{desiter:d}\"\n", " plot_load_displacement_diagram(box_beam_bdf_input, input_filename, ax, markers[count], f\"$\\mathrm{{DESITER}}={desiter}$\")\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, "pycharm": { "name": "#%% md\n" } }, "source": [ "We observe that a smaller number of desired number of iterations produces a load-equilibrium curve with more resolution. However, once again the equilibrium path does not appear to have any notable change, so we restore the default value." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "box_beam_bdf_input.nlpcis[nlparm_id].desiter = 12" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Minimum allowable arc-length adjustment ratio \n", "\n", "Next, we investigate the effect of the minimum allowable arc-length adjustment ratio, defined by the MINALR field of the `NLPCI` card. The arc-length adjustment ratio $\\Delta l_{new}/\\Delta l_{old}$ is bound in the following way:\n", "$$MINALR<\\frac{\\Delta l_{new}}{\\Delta l_{old}}" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "min_arclength_adjustment_ratios = [.9, .25, .01] # define list of minimum allowable arc-length adjustment ratios\n", "\n", "# Create figure, run analysis for each minimum allowable arc-length adjustment ratio and plot load-displacement diagram\n", "_, ax = plt.subplots()\n", "for count, minalr in enumerate(min_arclength_adjustment_ratios):\n", " box_beam_bdf_input.nlpcis[nlparm_id].minalr = minalr\n", " input_filename = f\"nonlinear_analysis_minalr_{minalr:.9g}\".replace('.','_')\n", " plot_load_displacement_diagram(box_beam_bdf_input, input_filename, ax, markers[count], f\"$\\mathrm{{MINALR}}={minalr:.9g}$\")\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": [ "In this case we do not observe see any effect of $MINALR$ on the load-displacement curve, so we switch back to the default value." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "box_beam_bdf_input.nlpcis[nlparm_id].minalr = .25" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Maximum allowable arc-length adjustment ratio \n", "\n", "Finally, we consider the maximum allowable arc-length adjustment ratio, defined by the MAXALR field of the `NLPCI` card. We consider three values:\n", "- $MAXALR=10$;\n", "- $MAXALR=4$ (default);\n", "- $MAXALR=1.01$.\n", "- $MAXALR=1.0001$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nastran job nonlinear_analysis_maxalr_1_01.bdf completed\n", "Wall time: 12.0 s\n", "Nastran job nonlinear_analysis_maxalr_1_0001.bdf completed\n", "Wall time: 11.0 s\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "max_arclength_adjustment_ratios = [10., 4., 1.01, 1.0001] # define list of maximum allowable arc-length adjustment ratios\n", "\n", "# Create figure, run analysis for each maximum allowable arc-length adjustment ratio and plot load-displacement diagram\n", "_, ax = plt.subplots()\n", "for count, maxalr in enumerate(max_arclength_adjustment_ratios):\n", " box_beam_bdf_input.nlpcis[nlparm_id].maxalr = maxalr\n", " input_filename = f\"nonlinear_analysis_maxalr_{maxalr:.9g}\".replace('.','_')\n", " plot_load_displacement_diagram(box_beam_bdf_input, input_filename, ax, markers[count], f\"$\\mathrm{{MAXALR}}={maxalr:.9g}$\")\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, "pycharm": { "name": "#%% md\n" } }, "source": [ "We observe that a lower $MAXALR$ results in a more resolved load-displacement curve, but all curves appear once again seem to describe the same equilibrium path." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion \n", "\n", "***\n", "\n", "In this notebook we have investigated the influence of SOL 106's nonlinear analysis parameters on the load-displacement diagram of a box beam loaded with a concentrated bending load at the tip. We applied a load equal to the buckling load predicted by SOL 105 and we found a linear load-displacement curve. As a consequence the variation of the nonlinear analysis parameters investigated did not show any effect on the curve.\n", "\n", "Based on the mentioned evidence, we can conclude that the results obtained with SOL 106's nonlinear buckling method in our [last notebook](04_Nonlinear_Buckling_Analysis_of_a_Box_Beam.ipynb) do not depend on the nonlinear analysis parameters. In our [next notebook](06_Verification_of_SOL_106_Nonlinear_Buckling_Method.ipynb) we are going to continue our investigation on the validity of SOL 106's nonlinear buckling method." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.17" } }, "nbformat": 4, "nbformat_minor": 0 }