{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Matrix Formalism of the Equations of Movement\n", "\n", "> Renato Naville Watanabe, Marcos Duarte \n", "> [Laboratory of Biomechanics and Motor Control](https://bmclab.pesquisa.ufabc.edu.br/) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "

Table of Contents

\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "In this notebook will be shown two examples of how to use a matrix formalism to perform forward dynamics. It does not consist a comprehensive treatise about the subject. It is rather an introduction based on examples. Nevertheless, the reader of this notebook will have sufficient knowledge to read recent texts on biomechanics and other multibody dynamic analysis.\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Forward Dynamics\n", "\n", "For the forward dynamics analysis, we will consider that we know the torques and find the angular accelerations. Naturally, we could begin our analysis from the muscle forces, from the muscle activations or even from the neural commands from the motor cortex. \n", "\n", "
Adapted from Erdemir et al. (2007)
\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "As an introduction to the matrix formalism used in multibody analysis, we will consider the double-pendulum system. This system could be used as a model from the arm and forearm of a subject, for example, and is an example of chaotic system.\n", "\n", "In the notebook about [free-body diagram](FreeBodyDiagramForRigidBodies.ipynb#doublependulum), we found the following equations of motion to the double-pendulum with actuators. \n", "\n", "\n", "\\begin{align}\n", "\\begin{split}\n", " \\left(\\frac{m_1l_1^2}{3} +m_2l_1^2\\right)\\frac{d^2\\theta_1}{dt^2} + \\frac{m_2l_1l_2}{2} \\cos{(\\theta_1-\\theta_2)\\frac{d^2\\theta_2}{dt^2}} &= -\\frac{m_1gl_1}{2}\\sin(\\theta_1)- m_2l_1g \\sin(\\theta_1) - \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_2}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2) + M_1 - M_{12} \\\\\n", " \\frac{m_2l_1l_2}{2}\\cos(\\theta_1-\\theta_2)\\frac{d^2\\theta_1}{dt^2} + \\frac{m_2l_2^2}{3}\\frac{d^2\\theta_2}{dt^2} &= -\\frac{m_2gl_2}{2}\\sin(\\theta_2) + \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_1}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2)+ M_{12} \n", " \\end{split}\n", "\\end{align}\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we wanted to simulate this double pendulum we still need to isolate the angular accelerations of each of the bars. As can be easily noted, this would be too laborious to do by hand. Luckily, numerical integration is performed by computers. The easiest way to isolate these angular accelerations is to note that we can write the angular accelerations and the numbers multiplying them as a matrix and a vector. \n", "\n", "\n", "\\begin{equation}\n", " \\left[\\begin{array}{cc}\\frac{m_1l_1^2}{3} +m_2l_1^2&\\frac{m_2l_1l_2}{2} \\cos(\\theta_1-\\theta_2)\\\\\\frac{m_2l_1l_2}{2}\\cos(\\theta_1-\\theta_2)&\\frac{m_2l_2^2}{3}\\end{array}\\right]\\cdot\\left[\\begin{array}{c}\\frac{d^2\\theta_1}{dt^2}\\\\\\frac{d^2\\theta_2}{dt^2} \\end{array}\\right] = \\left[\\begin{array}{c}- \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_2}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2)-\\frac{m_1gl_1}{2}\\sin(\\theta_1)- m_2l_1g \\sin(\\theta_1) + M_1 - M_{12}\\\\ \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_1}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2)-\\frac{m_2gl_2}{2}\\sin(\\theta_2) + M_{12} \\end{array}\\right] \n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ " Typically the equations of motion are divided into a matrix corresponding to the terms involving the angular velocities (centrifugal and Coriolis forces), a matrix corresponding to gravitational force and another matrix corresponding to the forces and torques being applied to the system.\n", "\n", "\n", "\\begin{equation}\n", " M(q)\\ddot{q} = C(q,\\dot{q}) + G(q) + Q + E\n", "\\end{equation}\n", "\n", "\n", "where \n", "\n", "- $q$ is the vector of the generalized coordinates, like angles and positions;\n", "- $M(q)$ is the matrix containing the inertia elements like mass and moments of inertia;\n", "- $C(q,\\dot{q})$ is the vector with the forces and moments dependent from the velocities and angular velocities, like centrifugal and Coriolis forces;\n", "- $G(q)$ is the vector with the forces and torques caused by the gravitational force;\n", "- $Q$ is the vector with forces and torques being applied to the body, like muscular torques and forces due to the constraints.\n", "- $E$ is the vector with the forces and torques due to some external element, like springs or the Ground reaction Force." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We can divide the equation describing the behavior of the double-pendulum in the matrices above:\n", "\n", "\n", "\\begin{equation}\n", " \\underbrace{\\left[\\begin{array}{cc}\\frac{m_1l_1^2}{3} +m_2l_1^2&\\frac{m_2l_1l_2}{2} \\cos(\\theta_1-\\theta_2)\\\\\\frac{m_2l_1l_2}{2}\\cos(\\theta_1-\\theta_2)&\\frac{m_2l_2^2}{3}\\end{array}\\right]}_{M}\\cdot\\underbrace{\\left[\\begin{array}{c}\\frac{d^2\\theta_1}{dt^2}\\\\\\frac{d^2\\theta_2}{dt^2} \\end{array}\\right]}_{\\ddot{q}} = \\underbrace{\\left[\\begin{array}{c}- \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_2}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2)\\\\ \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_1}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2)\\end{array}\\right]}_{C} + \\underbrace{\\left[\\begin{array}{c}-\\frac{m_1gl_1}{2}\\sin(\\theta_1)- m_2l_1g \\sin(\\theta_1)\\\\ -\\frac{m_2gl_2}{2}\\sin(\\theta_2) \\end{array}\\right]}_{G} + \\underbrace{\\left[\\begin{array}{c} M_1 - M_{12}\\\\M_{12} \\end{array}\\right]}_{Q}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "To solve this differential equation numerically, we must obtain the expression of the angular accelerations. We can perform this by multiplying both sides by the inverse of the matrix $M$.\n", "\n", "\n", "\\begin{equation}\n", " \\left[\\begin{array}{c}\\frac{d^2\\theta_1}{dt^2}\\\\\\frac{d^2\\theta_2}{dt^2} \\end{array}\\right] = \\left[\\begin{array}{cc}\\frac{m_1l_1^2}{3} +m_2l_1^2&\\frac{m_2l_1l_2}{2} \\cos(\\theta_1-\\theta_2)\\\\\\frac{m_2l_1l_2}{2}\\cos(\\theta_1-\\theta_2)&\\frac{m_2l_2^2}{3}\\end{array}\\right]^{-1}\\cdot\\left(\\left[\\begin{array}{c}- \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_2}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2)\\\\ \\frac{m_2l_1l_2}{2}\\left(\\frac{d\\theta_1}{dt}\\right)^2 \\sin(\\theta_1-\\theta_2)\\end{array}\\right] + \\left[\\begin{array}{c}-\\frac{m_1gl_1}{2}\\sin(\\theta_1)- m_2l_1g \\sin(\\theta_1)\\\\ -\\frac{m_2gl_2}{2}\\sin(\\theta_2) \\end{array}\\right] + \\left[\\begin{array}{c} M_1 - M_{12}\\\\M_{12} \\end{array}\\right]\\right)\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Generically, having the differential equations in the format:\n", "\n", "\n", "\\begin{equation}\n", " M(q)\\ddot{q} = C(q,\\dot{q}) + G(q) + Q + E\n", "\\end{equation}\n", "\n", "\n", "we can obtain the equation to perform the forward dynamics by:\n", "\n", "\n", "\\begin{equation}\n", " \\ddot{q} = M(q)^{-1}\\left[C(q,\\dot{q}) + G(q) + Q + E\\right]\n", "\\end{equation}\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Now that we have the angular accelerations, to solve the equation numerically we must transform the second-order differential equations in first-order differential equations:\n", "\n", "\n", "\\begin{equation}\n", " \\left[\\begin{array}{c}\\frac{d\\omega_1}{dt}\\\\\\frac{d\\omega_2}{dt}\\\\\\frac{d\\theta_1}{dt}\\\\\\frac{d\\theta_2}{dt} \\end{array}\\right] = \\left[\\begin{array}{c}\\left[\\begin{array}{cc}\\frac{m_1l_1^2}{3} +m_2l_1^2&\\frac{m_2l_1l_2}{2} \\cos(\\theta_1-\\theta_2)\\\\\\frac{m_2l_1l_2}{2}\\cos(\\theta_1-\\theta_2)&\\frac{m_2l_2^2}{3}\\end{array}\\right]^{-1}\\left(\\left[\\begin{array}{c}- \\frac{m_2l_1l_2}{2}\\omega_2^2 \\sin(\\theta_1-\\theta_2)\\\\ \\frac{m_2l_1l_2}{2}\\omega_1^2 \\sin(\\theta_1-\\theta_2)\\end{array}\\right]+\\left[\\begin{array}{c} -\\frac{m_1gl_1}{2}\\sin(\\theta_1)- m_2l_1g \\sin(\\theta_1) \\\\-\\frac{m_2gl_2}{2}\\sin(\\theta_2) \\end{array}\\right] + \\left[ \\begin{array}{c}M_1 - M_{12}\\\\M_{12}\\end{array}\\right]\\right)\\\\ \\omega_1\\\\ \\omega_2\\end{array}\\right]\n", "\\end{equation}\n", "\n", "\n", "Below is the numerical solution of a double-pendulum with each bar having length equal to 1 m and mass equal to 1 kg." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2022-04-26T23:04:15.107560Z", "start_time": "2022-04-26T23:04:06.053123Z" }, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "import numpy as np\n", "\n", "g = 9.81\n", " \n", "m1 = 1\n", "m2 = 1\n", "l1 = 1\n", "l2 = 0.5\n", "\n", "theta10 = np.pi/10\n", "theta20 = np.pi/3\n", "omega10 = 2*np.pi\n", "omega20 = -6*np.pi\n", "\n", "dt = 0.0001\n", "t = np.arange(0, 20, dt)\n", "state = np.zeros((4, len(t)))\n", "\n", "state[:,0] = np.array([omega10, omega20, theta10, theta20])\n", "#print(state[0,0])\n", "M1 = 0\n", "M12 = 0\n", "\n", "for i in range(1,len(t)):\n", " \n", " thetaDiff = state[2,i-1] - state[3,i-1]\n", " \n", " M = np.array([[m1*l1**2/3 + m2*l1**2, m2*l1*l2*np.cos(thetaDiff)/2],\n", " [m2*l1*l2*np.cos(thetaDiff)/2, m2*l2**2/3]])\n", "\n", " C = np.array([[-m2*l1*l2*np.sin(thetaDiff)*state[1,i-1]**2/2],\n", " [m2*l1*l2*np.sin(thetaDiff)*state[0,i-1]**2/2]])\n", "\n", " G = np.array([[-m1*g*l1/2*np.sin(state[2,i-1]) - m2*g*l2*np.sin(state[2,i-1])],\n", " [-m2*g*l2/2*np.sin(state[3,i-1])]])\n", "\n", " #PID control\n", " #r = np.pi/3\n", " #M12 = 30*(r-state[3,i-1])- 2*state[1,i-1] + 3*np.trapz(r-state[3,0:i])*dt\n", " Q = np.array([[M1 - M12],[M12]])\n", " \n", " \n", " \n", " dstatedt = np.vstack((np.linalg.inv(M)@(C+G+Q),state[0,[i-1]],state[1,[i-1]]))\n", " \n", " state[:,[i]] = state[:,[i-1]] + dt*dstatedt\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2022-04-26T23:04:15.642847Z", "start_time": "2022-04-26T23:04:15.117438Z" }, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.figure()\n", "plt.plot(t[0::10], state[3,0::10].T)\n", "#plt.plot(t[0::10], r*np.ones_like(t[0::10]))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2022-04-26T23:05:35.143445Z", "start_time": "2022-04-26T23:05:35.079750Z" }, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "\n", "step = 3000\n", "\n", "for i in range(len(state[2,0::step])):\n", " \n", " plt.plot([0, l1*np.sin(state[2,i*step])], \n", " [0, -l1*np.cos(state[2,i*step])])\n", " plt.plot([l1*np.sin(state[2,i*step]), l1*np.sin(state[2,i*step])+l2*np.sin(state[3,i*step])], \n", " [-l1*np.cos(state[2,i*step]), -l1*np.cos(state[2,i*step])-l2*np.cos(state[3,i*step])])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Automating equations of motion in matrix form using symbolic computation\n", "\n", "Sympy can be used to write the equation of motion and express them in matrix form, see an example in the notebook [Multibody Dynamics](https://nbviewer.org/github/BMClab/BMC/blob/master/notebooks/MultibodyDynamics.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Examples\n", "\n", "See examples of the deduction of the equations of motion in matrix form for the following systems: \n", " - [A cart attached to a spring and a pendulum](https://youtu.be/gsi_0cVZ5-s) \n", " - [Two sliding masses attached to two springs](https://youtu.be/dqtZwZmMh4w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further reading\n", "\n", "- Nikooyan and Zadpoor (2011) reviews mass-spring-damper models developed to study the response of the human body to the collision with the ground during hopping, trotting, or running, and presents the parameters of these models as terms of the equations of motion in matrix form. \n", "- Hollerbach and Flash (1982) used a planar two-link system model to investigate the dynamics of the upper limb during reaching movements. In such model, the two terms off the main diagonal in the inertia matrix (which are the same) and the centripetal and Coriolis terms represent the effects of the movement (nonzero velocity) of one joint over the other. These torques are referred as coupling or interaction effects." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Problems\n", "\n", "1. Solve the problems 19.3.20 and 19.3.24 of the Ruina and Rudra's book using the Lagrangian formalism (it is much easier than use the Newton-Euler formalism) and then use the matrix formalism to obtain the expressions of the angular accelerations. \n", "2. Derive the equations of motion in matrix form for the system below (see solution at https://youtu.be/ositbkD5J2M): \n", "
\"masses_springs_gravity\"/
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## References \n", "\n", " - YAMAGUCHI, G. T. Dynamic modeling of musculoskeletal motion: a vectorized approach for biomechanical analysis in three dimensions., 2001. \n", " - CRAIG, J. Introduction to robotics. , 1989. \n", " - JAIN, A. Robot and multibody dynamics. , 2011. \n", " - SPONG, M. W.; HUTCHINSON, S.; VIDYASAGAR, M. Robot modeling and control., 2006. \n", " - ERDEMIR, A. et al. Model-based estimation of muscle forces exerted during movements. Clinical Biomechanics, v. 22, n. 2, p. 131–154, 2007. \n", " - Hollerbach JM, Flash T (1982) [Dynamic interactions between limb segments during planar arm movement](http://link.springer.com/article/10.1007%2FBF00353957). Biological Cybernetics, 44, 67-77. \n", " - Nikooyan AA, Zadpoor AA. Mass-spring-damper modelling of the human body to study running and hopping--an overview. Proc Inst Mech Eng H. 2011 Dec;225(12):1121-35. doi: 10.1177/0954411911424210. PMID: 22320052.\n", " - STANEV, D.; MOUSTAKAS, K. Simulation of constrained musculoskeletal systems in task space. IEEE Transactions on Biomedical Engineering, v. 65, n. 2, p. 307–318, 2018. \n", " - ZAJAC FE, GORDON ME , [Determining muscle's force and action in multi-articular movement](https://drive.google.com/open?id=0BxbW72zV7WmUcC1zSGpEOUxhWXM&authuser=0). Exercise and Sport Sciences Reviews, 17, 187-230. , 1989. \n", " - RUINA A, RUDRA P. [Introduction to Statics and Dynamics](http://ruina.tam.cornell.edu/Book/index.html). Oxford University Press. , 2015. " ] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.3" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "pt", "useGoogleTranslate": true }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "165px" }, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }