{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Inverse dynamics (2D) for gait analysis \n", "\n", "> Marcos Duarte, Renato Naville Watanabe \n", "> [Laboratory of Biomechanics and Motor Control](http://pesquisa.ufabc.edu.br/bmclab/) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "toc": 1 }, "source": [ "

Contents


\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Python setup" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:42:50.784536Z", "start_time": "2020-05-13T00:42:49.980687Z" } }, "outputs": [], "source": [ "# import the necessary libraries\n", "import numpy as np\n", "from numpy import cross\n", "from IPython.display import IFrame\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set_context('notebook', font_scale=1.2, rc={\"lines.linewidth\": 2})\n", "import sys\n", "sys.path.insert(1, r'./../functions')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forward and inverse dynamics\n", "\n", "With respect to the equations of motion to determine the dynamics of a system, there are two general approaches: forward (or direct) and inverse dynamics. For example, consider the solution of Newton's second law for a particle. If we know the force(s) and want to find the trajectory, this is **forward dynamics**. If instead, we know the trajectory and want to find the force(s), this is **inverse dynamics**:\n", "\n", "
\"Forward
Figure. The equation of motion and the forward and inverse dynamics approaches.
\n", "\n", "In Biomechanics, in a typical movement analysis of the human body using inverse dynamics, we would measure the positions of the segments and measure the external forces, calculate the segments' linear and angular acceleration, and find the internal net force and moment of force at the joint using the equations of motion. In addition, we could estimate the muscle forces (if we solve the redundancy problem of having more muscles than joints). \n", "Using forward dynamics, the muscle forces would be the inputs and the trajectories of the segments would be the outputs. The figure below compares the forward and inverse dynamics approaches.\n", "\n", "
\"Direct
Figure. Inverse dynamics and Forward (or Direct) dynamics approaches for movement analysis (adapted from Zajac and Gordon, 1989).
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimation of joint force and moments of force by inverse dynamics\n", "\n", "Let's estimate the joint force and moments of force at the lower limb during locomotion using the inverse dynamics approach. \n", "We will model the lower limbs at the right side as composed by three rigid bodies (foot, leg, and thigh) articulated by three hinge joints (ankle, knee, and hip) and perform a two-dimensional analysis. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Free body diagrams\n", "\n", "The [free body diagrams](http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/FreeBodyDiagram.ipynb) of the lower limbs are: \n", "
\n", "
\"FBD
Figure. Free body diagrams of the lower limbs for a gait analysis. GRF is the resultant ground reaction force applied on the foot at the center of pressure, COP, position.
\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "### Equations of motion\n", " \n", "The equilibrium equations for the forces and moments of force around the center of mass are: \n", "\n", "For body 1 (foot):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l l}\n", "\\mathbf{F}_1 + m_1\\mathbf{g} + \\mathbf{GRF} = m_1\\mathbf{a}_1 \\\\\n", "\\mathbf{M}_1 + \\mathbf{r}_{cmp1}\\times\\mathbf{F}_1 + \\mathbf{r}_{cmCOP}\\times\\mathbf{GRF} = I_1\\mathbf{\\alpha}_1 \n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "For body 2 (leg):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l}\n", "\\mathbf{F}_2 + m_2\\mathbf{g} - \\mathbf{F}_1 = m_2\\mathbf{a}_2 \\\\\n", "\\mathbf{M}_2 + \\mathbf{r}_{cmp2}\\times\\mathbf{F}_2 + \\mathbf{r}_{cmd2}\\times-\\mathbf{F}_{1} - \\mathbf{M}_1 = I_2\\mathbf{\\alpha}_2\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "For body 3 (thigh):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l l}\n", "\\mathbf{F}_3 + m_3\\mathbf{g} - \\mathbf{F}_2 = m_3\\mathbf{a}_3 \\\\\n", "\\mathbf{M}_3 + \\mathbf{r}_{cmp3}\\times\\mathbf{F}_3 + \\mathbf{r}_{cmd3}\\times-\\mathbf{F}_{2} - \\mathbf{M}_2 = I_3\\mathbf{\\alpha}_3\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "Where $p$ and $d$ stands for proximal and distal joints (with respect to the fixed extremity), $\\mathbf{r}_{cmji}$ is the position vector from the center of mass of body $i$ to the joint $j$, $COP$ is the center of pressure, the position of application of the resultant ground reaction force (GRF), $\\mathbf{\\alpha}$ is the angular acceleration, and $g$ is the acceleration of gravity\n", "\n", "Note that the pattern of the equations is the same for the three segments: distal and proximal forces and moments of force and the weight force are present in all segments. \n", "The only exception is with the foot in contact with the ground. As the ground only pushes the foot, it can not generate a moment of force over the foot. Because of that we model the interaction foot-ground as a resultant ground reaction force (GRF) applied on the foot at the COP position. \n", "\n", "Both GRF and COP quantities are measured with a force platform and are assumed as known quantities. \n", "Because of that the system of equations above is only solvable if we start by the body 1, from bottom to top. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The system of equations above is simple and straightforward to solve, it is just a matter of being systematic. \n", "We start by segment 1, find $\\mathbf{F}_1$ and $\\mathbf{M}_1$, substitute these values on the equations for segment 2, find $\\mathbf{F}_2$ and $\\mathbf{M}_2$, substitute them in the equations for segment 3 and find $\\mathbf{F}_3$ and $\\mathbf{M}_3\\:$: \n", "\n", "For body 1 (foot):\n", " \n", "\\begin{equation}\n", "\\begin{array}{l l}\n", "\\mathbf{F}_1 &=& m_1\\mathbf{a}_1 - m_1\\mathbf{g} - \\mathbf{GRF} \\\\\n", "\\mathbf{M}_1 &=& I_1\\mathbf{\\alpha}_1 - \\mathbf{r}_{cmp1}\\times\\big(m_1\\mathbf{a}_1 - m_1\\mathbf{g} - \\mathbf{GRF}\\big) - \\mathbf{r}_{cmCOP}\\times\\mathbf{GRF}\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "For body 2 (leg):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l l}\n", "\\mathbf{F}_2 &=& m_1\\mathbf{a}_1 + m_2\\mathbf{a}_2 - (m_1+m_2)\\mathbf{g} - \\mathbf{GRF} \\\\\n", "\\mathbf{M}_2 &=& I_1\\mathbf{\\alpha}_1 + I_2\\mathbf{\\alpha}_2 - \\mathbf{r}_{cmp2}\\times\\big(m_1\\mathbf{a}_1 + m_2\\mathbf{a}_2 - (m_1+m_2)\\mathbf{g} - \\mathbf{GRF}\\big)\\, + \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cgd2}\\times\\big(m_1\\mathbf{a}_1 - m_1\\mathbf{g} - \\mathbf{GRF}\\big) - \\mathbf{r}_{cmp1}\\times\\big(m_1\\mathbf{a}_1 - m_1\\mathbf{g} - \\mathbf{GRF}\\big)\\, - \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cmCOP}\\times\\mathbf{GRF}\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "For body 3 (thigh):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l l}\n", "\\mathbf{F}_3 &=& m_1\\mathbf{a}_1 + m_2\\mathbf{a}_2 + m_3\\mathbf{a}_3 - (m_1+m_2+m_3)\\mathbf{g} - \\mathbf{GRF} \\\\\n", "\\mathbf{M}_3 &=& I_1\\mathbf{\\alpha}_1 + I_2\\mathbf{\\alpha}_2 + I_3\\mathbf{\\alpha}_3\\, - \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cmp3}\\times\\big(m_1\\mathbf{a}_1 + m_2\\mathbf{a}_2 + m_3\\mathbf{a}_3\\, - (m_1+m_2+m_3)\\mathbf{g} - \\mathbf{GRF}\\big)\\, + \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cmd3}\\times\\big(m_1\\mathbf{a}_1 + m_2\\mathbf{a}_2 - (m_1+m_2)\\mathbf{g} - \\mathbf{GRF}\\big)\\, - \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cmp2}\\times\\big(m_1\\mathbf{a}_1 + m_2\\mathbf{a}_2 - (m_1+m_2)\\mathbf{g} - \\mathbf{GRF}\\big)\\, + \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cmd2}\\times\\big(m_1\\mathbf{a}_1 - m_1\\mathbf{g} - \\mathbf{GRF}\\big)\\, - \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cmp1}\\times\\big(m_1\\mathbf{a}_1 - m_1\\mathbf{g} - \\mathbf{GRF}\\big)\\, - \\\\\n", "&\\phantom{=}& \\mathbf{r}_{cmCOP}\\times\\mathbf{GRF}\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The recursive approach for inverse dynamics of multi-body systems\n", "\n", "The calculation above is tedious, error prone, useless, and probably it's wrong. \n", "\n", "To make some use of it, we can clearly see that forces act on far segments, which are not directly in contact with these forces. In fact, this is true for all stuff happening on a segment: note that $\\mathbf{F}_1$ and $\\mathbf{M}_1$ are present in the expression for $\\mathbf{F}_3$ and $\\mathbf{M}_3$ and that the acceleration of segment 1 matters for the calculations of segment 3. \n", "\n", "Instead, we can use the power of computer programming (like this one right now!) and solve these equations recursively hence they have the same pattern. Let's do that.\n", "\n", "For body 1 (foot):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l l}\n", "\\mathbf{F}_1 = m_1\\mathbf{a}_1 - m_1\\mathbf{g} - \\mathbf{GRF} \\\\\n", "\\mathbf{M}_1 = I_1\\mathbf{\\alpha}_1 - \\mathbf{r}_{cmp1}\\times\\mathbf{F}_1 - \\mathbf{r}_{cmCOP}\\times\\mathbf{GRF}\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "For body 2 (leg):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l}\n", "\\mathbf{F}_2 = m_2\\mathbf{a}_2 - m_2\\mathbf{g} + \\mathbf{F}_1\\\\\n", "\\mathbf{M}_2 = I_2\\mathbf{\\alpha}_2 - \\mathbf{r}_{cmp2}\\times\\mathbf{F}_2 +\\mathbf{r}_{cmd2}\\times\\mathbf{F}_{1} + \\mathbf{M}_1\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "For body 3 (thigh):\n", "\n", "\\begin{equation}\n", "\\begin{array}{l l}\n", "\\mathbf{F}_3 = m_3\\mathbf{a}_3 - m_3\\mathbf{g} + \\mathbf{F}_2\\\\\n", "\\mathbf{M}_3 = I_3\\mathbf{\\alpha}_3 - \\mathbf{r}_{cmp3}\\times\\mathbf{F}_3 + \\mathbf{r}_{cmd3}\\times\\mathbf{F}_{2} + \\mathbf{M}_2\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Python function `invdyn2d.py`\n", "\n", "We could write a function that it would have as inputs the body-segment parameters, the kinematic data, and the distal joint force and moment of force and output the proximal joint force and moment of force. \n", "Then, we would call this function for each segment, starting with the segment that has a free extremity or that has the force and moment of force measured by some instrument (i,e, use a force plate for the foot-ground interface). \n", "This function would be called in the following manner: \n", "\n", "```python\n", " Fp, Mp = invdyn2d(rcm, rd, rp, acm, alfa, mass, Icm, Fd, Md)\n", "``` \n", "\n", "So, here is such function:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:40:07.354464Z", "start_time": "2020-05-13T00:40:07.342326Z" } }, "outputs": [], "source": [ "# %load ./../functions/invdyn2d.py\n", "\"\"\"Two-dimensional inverse-dynamics calculations of one segment.\"\"\"\n", "\n", "__author__ = 'Marcos Duarte, https://github.com/demotu/BMC'\n", "__version__ = 'invdyn2d.py v.2 2015/11/13'\n", "\n", "\n", "def invdyn2d(rcm, rd, rp, acm, alpha, mass, Icm, Fd, Md):\n", " \"\"\"Two-dimensional inverse-dynamics calculations of one segment\n", "\n", " Parameters\n", " ----------\n", " rcm : array_like [x,y]\n", " center of mass position (y is vertical)\n", " rd : array_like [x,y]\n", " distal joint position\n", " rp : array_like [x,y]\n", " proximal joint position\n", " acm : array_like [x,y]\n", " center of mass acceleration\n", " alpha : array_like [x,y]\n", " segment angular acceleration\n", " mass : number\n", " mass of the segment \n", " Icm : number\n", " rotational inertia around the center of mass of the segment\n", " Fd : array_like [x,y]\n", " force on the distal joint of the segment\n", " Md : array_like [x,y]\n", " moment of force on the distal joint of the segment\n", " \n", " Returns\n", " -------\n", " Fp : array_like [x,y]\n", " force on the proximal joint of the segment (y is vertical)\n", " Mp : array_like [x,y]\n", " moment of force on the proximal joint of the segment\n", "\n", " Notes\n", " -----\n", " To use this function recursevely, the outputs [Fp, Mp] must be inputed as \n", " [-Fp, -Mp] on the next call to represent [Fd, Md] on the distal joint of the\n", " next segment (action-reaction).\n", " \n", " This code was inspired by a similar code written by Ton van den Bogert [1]_.\n", " See this notebook [2]_.\n", "\n", " References\n", " ----------\n", " .. [1] http://isbweb.org/data/invdyn/index.html\n", " .. [2] http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/GaitAnalysis2D.ipynb\n", "\n", " \"\"\"\n", " \n", " g = 9.80665 # m/s2, standard acceleration of free fall (ISO 80000-3:2006)\n", " # Force and moment of force on the proximal joint\n", " Fp = mass*acm - Fd - [0, -g*mass]\n", " Mp = Icm*alpha - Md - cross(rd-rcm, Fd) - cross(rp-rcm, Fp)\n", " \n", " return Fp, Mp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inverse dynamics calculations are implemented in only two lines of code at the end, the first part of the code is the help on how to use the function. The help is long because it's supposed to be helpful :), see the [style guide for NumPy/SciPy documentation](https://numpydoc.readthedocs.io/en/latest/format.html#docstring-standard). \n", "\n", "The real problem is to measure or estimate the experimental variables: the body-segment parameters, the ground reaction forces, and the kinematics of each segment. For such, it is necessary some expensive equipments, but they are typical in a biomechanics laboratory, such the the [BMClab](http://pesquisa.ufabc.edu.br/bmclab). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Experimental data\n", "\n", "Let's work with some data of kinematic position of the segments and ground reaction forces in order to compute the joint forces and moments of force. \n", "The data we will work are in fact from a computer simulation of running created by Ton van den Bogert. The nice thing about these data is that as a simulation, the true joint forces and moments of force are known and we will be able to compare our estimation with these true values. \n", "All the data can be downloaded from a page at the [ISB website](http://isbweb.org/data/invdyn/index.html):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:40:09.564573Z", "start_time": "2020-05-13T00:40:09.551269Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "IFrame('http://isbweb.org/data/invdyn/index.html', width='100%', height=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load data file" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:43:50.414470Z", "start_time": "2020-05-13T00:43:50.210449Z" } }, "outputs": [], "source": [ "# load file with ground reaction force data\n", "grf = np.loadtxt('./../data/all.frc') # [Fx, Fy, COPx]\n", "# load file with kinematic data\n", "kin = np.loadtxt('./../data/all.kin') # [Hip(x,y), knee(x,y), ankle(x,y), toe(x,y)] \n", "freq = 10000\n", "time = np.linspace(0, grf.shape[0]/freq, grf.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data filtering" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:46:23.243568Z", "start_time": "2020-05-13T00:46:23.224289Z" } }, "outputs": [], "source": [ "# this is simulated data with no noise, filtering doesn't matter\n", "if False:\n", " # filter data\n", " from scipy.signal import butter, filtfilt\n", " # Butterworth filter\n", " b, a = butter(2, (10/(freq/2)))\n", " for col in np.arange(grf.shape[1]-1):\n", " grf[:, col] = filtfilt(b, a, grf[:, col])\n", " b, a = butter(2, (10/(freq/2)))\n", " for col in np.arange(kin.shape[1]): \n", " kin[:, col] = filtfilt(b, a, kin[:, col])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data selection" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:46:44.028090Z", "start_time": "2020-05-13T00:46:44.021429Z" } }, "outputs": [], "source": [ "# heel strike occurs at sample 3001\n", "time = time[3001 - int(freq/40):-int(freq/20)]\n", "grf = grf[3001 - int(freq/40):-int(freq/20), :]\n", "kin = kin[3001 - int(freq/40):-int(freq/20), :]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot file data" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:46:58.045556Z", "start_time": "2020-05-13T00:46:56.899820Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot data\n", "hfig, hax = plt.subplots(2, 2, sharex = True, squeeze=True, figsize=(9, 5))\n", "hax[0, 0].plot(time, grf[:, [0, 1]], linewidth=2)\n", "hax[0, 0].legend(('Fx','Fy'), frameon=False)\n", "hax[0, 0].set_ylabel('Force [N]')\n", "hax[0, 1].plot(time, grf[:, 2], linewidth=2)\n", "hax[0, 1].legend(['COPx'], frameon=False)\n", "hax[0, 1].set_ylabel('Amplitude [m]')\n", "hax[1, 0].plot(time, kin[:, 0::2], linewidth=2)\n", "hax[1, 0].legend(('Hip x','Knee x','Ankle x','Toe x'), frameon=False)\n", "hax[1, 0].set_ylabel('Amplitude [m]')\n", "hax[1, 1].plot(time, kin[:, 1::2], linewidth=2)\n", "hax[1, 1].legend(('Hip y','Knee y','Ankle y','Toe y'), frameon=False)\n", "hax[1, 1].set_ylabel('Amplitude [m]')\n", "hax[1, 0].set_xlabel('Time [s]'), hax[1, 1].set_xlabel('Time [s]')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Body-segment parameters " ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:49:34.384353Z", "start_time": "2020-05-13T00:49:34.375755Z" } }, "outputs": [], "source": [ "# body-segment parameters [thigh, shank, foot]\n", "mass = [6.85, 2.86, 1.00] # mass [kg]\n", "Icm = [0.145361267, 0.042996389, 0.0200] # rotational inertia [kgm2]\n", "cmpr = [0.4323725, 0.4334975, 0.0] # CM [m] wrt. prox. joint [frac. segment len]\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Kinematic calculations" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:50:29.447872Z", "start_time": "2020-05-13T00:50:29.413326Z" } }, "outputs": [], "source": [ "# Kinematic data\n", "# center of mass position of the thigh, shank, foot segments\n", "rcm = np.hstack((kin[:, [0,1]] + cmpr[0]*(kin[:, [2,3]] - kin[:, [0,1]]),\n", " kin[:, [2,3]] + cmpr[1]*(kin[:, [4,5]] - kin[:, [2,3]]),\n", " kin[:, [4,5]] + cmpr[2]*(kin[:, [6,7]] - kin[:, [4,5]])))\n", "\n", "# center of mass linear acceleration of the thigh, shank, foot segments\n", "acm = np.diff(rcm, n=2, axis=0)*freq*freq\n", "acm = np.vstack((acm, acm[-1, :], acm[-1, :]))\n", "\n", "# thigh, shank, foot segment angle\n", "ang = np.vstack((np.arctan2(kin[:, 1] - kin[:, 3], kin[:, 0] - kin[:, 2]),\n", " np.arctan2(kin[:, 3] - kin[:, 5], kin[:, 2] - kin[:, 4]),\n", " np.arctan2(kin[:, 5] - kin[:, 7], kin[:, 4] - kin[:, 6]))).T\n", "\n", "\n", "# hip, knee, and ankle joint angles\n", "angj = np.vstack((-(ang[:, 0]-ang[:, 1]),\n", " np.unwrap(ang[:, 1] - ang[:, 2] + np.pi/2))).T*180/np.pi\n", "\n", "# thigh, shank, foot segment angular acceleration\n", "aang = np.diff(ang, n=2, axis=0)*freq*freq\n", "aang = np.vstack((aang, aang[-1, :], aang[-1, :]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot joint angles" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:52:18.639038Z", "start_time": "2020-05-13T00:52:17.829136Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot hip, knee, and ankle joint angles\n", "hfig, (hax1, hax2) = plt.subplots(2, 1, sharex = True, squeeze=True, figsize=(10, 5))\n", "hax1.plot(time, angj[:, 0], linewidth=2, label='Knee')\n", "hax1.legend(frameon=False, loc='upper left'), hax1.grid()\n", "hax2.plot(time, angj[:, 1], linewidth=2, label='Ankle')\n", "hax2.legend(frameon=False, loc='upper left'), hax2.grid()\n", "hax1.set_ylabel('Joint angle $[^o]$')\n", "hax2.set_ylabel('Joint angle $[^o]$')\n", "hax2.set_xlabel('Time [s]')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inverse dynamics calculations" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:53:34.564902Z", "start_time": "2020-05-13T00:53:34.516123Z" } }, "outputs": [], "source": [ "# inverse dynamics\n", "# invdyn2d(rcm, rd, rp, acm, alpha, mass, Icm, Fd, Md)\n", "from invdyn2d import invdyn2d\n", "\n", "# ankle\n", "Fa, Ma = invdyn2d(rcm[:,(4,5)], grf[:,(2,2)]*[1,0], kin[:,(4,5)],\n", " acm[:,(4,5)], aang[:, 2], mass[2], Icm[2],\n", " grf[:, (0, 1)], 0)\n", "# knee\n", "Fk, Mk = invdyn2d(rcm[:,(2,3)], kin[:,(4,5)], kin[:,(2,3)],\n", " acm[:,(2,3)], aang[:,1], mass[1], Icm[1],\n", " -Fa, -Ma)\n", "# hip\n", "Fh, Mh = invdyn2d(rcm[:,(0,1)], kin[:,(2,3)], kin[:,(0,1)],\n", " acm[:,(0,1)], aang[:,0], mass[0], Icm[0],\n", " -Fk, -Mk)\n", "\n", "# magnitude of the calculated hip, knee, and ankle resultant joint force\n", "Fam = np.sqrt(np.sum(np.abs(Fa)**2, axis=-1))\n", "Fkm = np.sqrt(np.sum(np.abs(Fk)**2, axis=-1))\n", "Fhm = np.sqrt(np.sum(np.abs(Fh)**2, axis=-1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load files with true joint forces and moments of force" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:53:59.194411Z", "start_time": "2020-05-13T00:53:58.983015Z" } }, "outputs": [], "source": [ "# load file with true joint forces and moments of force\n", "forces = np.loadtxt('./../data/all.fmg') # [Hip, knee, ankle]\n", "moments = np.loadtxt('./../data/all.mom') # [Hip, knee, ankle]\n", "#heel strike occurs at sample 3001\n", "forces = forces[3001-int(freq/40):-int(freq/20), :]\n", "moments = moments[3001-int(freq/40):-int(freq/20), :]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot calculated variables and their true values\n", "\n", "Let's plot these data but because later we will need to plot similar plots, let's create a function for the plot to avoid repetition of code:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:54:03.529045Z", "start_time": "2020-05-13T00:54:02.705017Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plotdata(time, Fh, Fk, Fa, Mh, Mk, Ma, forces, moments, stitle):\n", " # plot hip, knee, and ankle moments of force\n", " hfig, hax = plt.subplots(3, 2, sharex = True, squeeze=True, figsize=(11, 6))\n", " # forces\n", " hax[0, 0].plot(time, Fh, label='invdyn'), hax[0, 0].set_title('Hip')\n", " hax[1, 0].plot(time, Fk), hax[1, 0].set_title('Knee')\n", " hax[2, 0].plot(time, Fa), hax[2, 0].set_title('Ankle')\n", " hax[1, 0].set_ylabel('Joint force [N]')\n", " hax[2, 0].set_xlabel('Time [s]')\n", " # moments of force\n", " hax[0, 1].plot(time, Mh), hax[0, 1].set_title('Hip')\n", " hax[1, 1].plot(time, Mk), hax[1, 1].set_title('Knee')\n", " hax[2, 1].plot(time, Ma), hax[2, 1].set_title('Ankle')\n", " hax[1, 1].set_ylabel('Moment of Force [Nm]')\n", " hax[2, 1].set_xlabel('Time [s]')\n", " # true joint forces and moments of force\n", " hax[0, 0].plot(time, forces[:, 0], 'r--', label='True')\n", " hax[0, 0].legend(frameon=False) \n", " hax[1, 0].plot(time, forces[:, 1], 'r--') \n", " hax[2, 0].plot(time, forces[:, 2], 'r--')\n", " hax[0, 1].plot(time, moments[:, 0], 'r--') \n", " hax[1, 1].plot(time, moments[:, 1], 'r--') \n", " hax[2, 1].plot(time, moments[:, 2], 'r--')\n", " plt.suptitle(stitle, fontsize=16)\n", " for x in hax.flat:\n", " x.locator_params(nbins=5); x.grid()\n", " plt.show()\n", " \n", "plotdata(time, Fhm, Fkm, Fam, Mh, Mk, Ma, forces, moments, \n", " 'Inverse dynamics: estimated versus true values')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results are very similar; only a small part of the moments of force is different because of some noise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contribution of each term to the joint force and moment of force \n", "\n", "Let's see what happens with the joint forces and moments of force when we neglect the contribution of some terms in the inverse dynamics analysis of these data. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quasi-static analysis\n", "Consider the case where the segment acceleration is neglected:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:56:26.912968Z", "start_time": "2020-05-13T00:56:26.151488Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# ankle\n", "Fast, Mast = invdyn2d(rcm[:,(4,5)], grf[:,(2,2)]*[1,0], kin[:,(4,5)],\n", " acm[:,(4,5)]*0, aang[:,2]*0, mass[2], Icm[2],\n", " grf[:,(0,1)], 0)\n", "# knee\n", "Fkst, Mkst = invdyn2d(rcm[:,(2,3)], kin[:,(4,5)], kin[:,(2,3)],\n", " acm[:,(2,3)]*0, aang[:,1]*0, mass[1], Icm[1],\n", " -Fast, -Mast)\n", "# hip\n", "Fhst, Mhst = invdyn2d(rcm[:,(0,1)], kin[:,(2,3)], kin[:,(0,1)],\n", " acm[:,(0,1)]*0, aang[:,0]*0, mass[0], Icm[0],\n", " -Fkst, -Mkst)\n", "\n", "# magnitude of the calculated hip, knee, and ankle resultant joint force\n", "Fastm = np.sqrt(np.sum(np.abs(Fast)**2, axis=-1))\n", "Fkstm = np.sqrt(np.sum(np.abs(Fkst)**2, axis=-1))\n", "Fhstm = np.sqrt(np.sum(np.abs(Fhst)**2, axis=-1))\n", "\n", "plotdata(time, Fhstm, Fkstm, Fastm, Mhst, Mkst, Mast, forces, moments, \n", " 'Inverse dynamics: quasis-static approach versus true values')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is not a pure static analysis because part of the ground reaction forces still reflects the body accelerations (were the body completely static, the ground reaction force should be equal to the body weight in magnitude)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Neglecting the acceleration and mass (weight) of the segments\n", "\n", "Consider the case where besides the acceleration, the body-segment parameters are also neglected. \n", "This means that the joint loads are due only to the ground reaction forces (which implicitly include contributions due to the acceleration and the body-segment weights). " ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:57:59.300412Z", "start_time": "2020-05-13T00:57:58.559063Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# ankle\n", "Fagrf, Magrf = invdyn2d(rcm[:, (4,5)], grf[:,(2,2)]*[1,0], kin[:,(4,5)],\n", " acm[:,(4,5)]*0, aang[:,2]*0, 0, 0, grf[:,(0,1)], 0)\n", "# knee\n", "Fkgrf, Mkgrf = invdyn2d(rcm[:,(2,3)], kin[:,(4,5)], kin[:,(2,3)],\n", " acm[:,(2,3)]*0, aang[:,1]*0, 0, 0, -Fagrf, -Magrf)\n", "# hip\n", "Fhgrf, Mhgrf = invdyn2d(rcm[:,(0,1)], kin[:,(2,3)], kin[:,(0,1)],\n", " acm[:,(0,1)]*0, aang[:, 0]*0, 0, 0, -Fkgrf, -Mkgrf)\n", "\n", "# magnitude of the calculated hip, knee, and ankle resultant joint force\n", "Fagrfm = np.sqrt(np.sum(np.abs(Fagrf)**2, axis=-1))\n", "Fkgrfm = np.sqrt(np.sum(np.abs(Fkgrf)**2, axis=-1))\n", "Fhgrfm = np.sqrt(np.sum(np.abs(Fhgrf)**2, axis=-1))\n", "\n", "plotdata(time, Fhgrfm, Fkgrfm, Fagrfm, Mhgrf, Mkgrf, Magrf, forces, moments, \n", " 'Inverse dynamics: ground-reaction-force approach versus true values')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Neglecting all the accelerations and the weight of the segments means that the only external force that actuates on the system is the ground reaction force, which although is only actuating at the foot-ground interface it will be transmitted to the other segments through the joint forces. Because of that, the joint forces on the ankle, knee, and hip will simply be minus the ground reaction force. Note that the forces shown above for the three joints are the same and equal to: \n", "\n", "\\begin{equation}\n", "\\begin{array}{l}\n", "\\sqrt{GRF_x^2+GRF_y^2}\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "These simplifications also mean that the moments of force could have been simply calculated as the cross product between the vector position of the the COP in relation to the joint and the GRF vector: \n", "\n", "\\begin{equation}\n", "\\begin{array}{l}\n", "\\mathbf{M_{a}} = -\\mathbf{cross}(\\mathbf{COP}-\\mathbf{r_{a}},\\,\\mathbf{GRF}) \\\\\n", "\\mathbf{M_{k}} = -\\mathbf{cross}(\\mathbf{COP}-\\mathbf{r_{k}},\\,\\mathbf{GRF}) \\\\\n", "\\mathbf{M_{h}} = -\\mathbf{cross}(\\mathbf{COP}-\\mathbf{r_{h}},\\,\\mathbf{GRF})\n", "\\label{}\n", "\\end{array}\n", "\\end{equation}\n", "\n", "Where $\\mathbf{r_{i}}\\;$ is the position vector of joint $i$.\n", "\n", "Let's calculate the variables in this way:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2020-05-13T00:59:58.101196Z", "start_time": "2020-05-13T00:59:57.318406Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Fhgrfm2 = Fkgrfm2 = Fagrfm2 = np.sqrt(np.sum(np.abs(-grf[:,(0,1)])**2, axis=-1))\n", "Magrf2 = -np.cross(grf[:,(2,2)]*[1,0]-kin[:,(4,5)], grf[:,(0,1)])\n", "Mkgrf2 = -np.cross(grf[:,(2,2)]*[1,0]-kin[:,(2,3)], grf[:,(0,1)])\n", "Mhgrf2 = -np.cross(grf[:,(2,2)]*[1,0]-kin[:,(0,1)], grf[:,(0,1)])\n", "\n", "plotdata(time, Fhgrfm2, Fkgrfm2, Fagrfm2, Mhgrf2, Mkgrf2, Magrf2, forces, moments, \n", " 'Inverse dynamics: ground-reaction-force approach versus true values II')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### WARNING: the calculated resultant joint force is not the actual joint reaction force!\n", "\n", "In the Newton-Euler equations based on the free body diagrams we represented the consequences of all possible muscle forces on a joint as a net muscle torque and all forces acting on a joint as a resultant joint reaction force. That is, all forces between segments were represented as a resultant force that doesn't generate torque and a moment of force that only generates torque. \n", "This is an important principle in mechanics of rigid bodies as we saw before. \n", "However, this principle creates the unrealistic notion that the sum of forces is applied directly on the joint (which has no further implication for a rigid body), but it is inaccurate for the understanding of the local effects on the joint. So, if we are trying to understand the stress on the joint or mechanisms of joint injury, the forces acting on the joint and on the rest of the segment must be considered individually." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "For these data set of 'running' (remember this is simulated data), in the estimation of the forces and moments of force at the hip, knee, and ankle joints in a two-dimensional analysis, to not consider the segment acceleration and/or the mass of the segments had no effect on the ankle variables, a small effect on the knee, and a large effect on the hip. \n", "This is not surprising; during the support phase, ankle and knee have small movements and the mass of the segments only start to have a significant contribution for more proximal and heavy segments such as the thigh. \n", "\n", "Don't get disappointed thinking that all this work for drawing the complete FBDs and their correspondent equations was a waste of time. \n", "Nowadays, the state of the art and the demand for higher accuracy in biomechanics is such that such simplifications are usually not accepted. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further reading\n", "\n", "- [Gait Analysis on Wikipedia](https://en.wikipedia.org/wiki/Gait_analysis);\n", "- [Gait analysis: clinical facts](https://www.ncbi.nlm.nih.gov/pubmed/27618499);\n", "- [Gait Analysis Methods: An Overview of Wearable and Non-Wearable Systems, Highlighting Clinical Applications](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3958266/);\n", "- [Avaliação Biomecânica da Corrida no BMClab (in Portuguese)](http://pesquisa.ufabc.edu.br/bmclab/servicos/rba-2/)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Video lectures on the Internet\n", "\n", "- Understanding & Analyzing Gait For The Clinician - series: [Introduction](https://youtu.be/x1JoaGgyKX0), [Patient Assessment](https://youtu.be/Z0QNkLshQUk), [Intro To Computer-Based 3-D Analysis](https://youtu.be/g0OcCLTQM_Y), [Basic Musculoskeletal Biomechanics](https://youtu.be/KsdrmyxOyxM), [The Gait Cycle](https://youtu.be/96nLX6sm9Yw);\n", "- [How to benefit from a Gait Analysis | Runners Need](https://youtu.be/rxkX7qGtIEI)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problems\n", "\n", "1. Search the Internet for actual experimental data from a gait analysis of a runner and compare with the simulated data used in this notebook. \n", "2. Collect or search for some experimental data from a movement analysis and perform inverse dynamics to determine joint forces and torques. \n", "3. Imagine that you have to perform a similar analysis but of the upper limb during throwing a ball. What would have to change in the approach described in this notebook?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "- Ruina A, Rudra P (2019) [Introduction to Statics and Dynamics](http://ruina.tam.cornell.edu/Book/index.html). Oxford University Press. \n", "- Winter DA (2009) [Biomechanics and motor control of human movement](http://books.google.com.br/books?id=_bFHL08IWfwC). 4 ed. Hoboken, EUA: Wiley. \n", "- Zajac FE, Gordon ME (1989) [Determining muscle's force and action in multi-articular movement](https://github.com/BMClab/BMC/blob/master/refs/zajac89.pdf). Exercise and Sport Sciences Reviews, 17, 187-230. \n", "- Zatsiorsky VM (2202) [Kinetics of human motion](http://books.google.com.br/books?id=wp3zt7oF8a0C&lpg=PA571&ots=Kjc17DAl19&dq=ZATSIORSKY%2C%20Vladimir%20M.%20Kinetics%20of%20human%20motion&hl=pt-BR&pg=PP1#v=onepage&q&f=false). Champaign, IL: Human Kinetics." ] } ], "metadata": { "anaconda-cloud": {}, "hide_input": false, "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": "3.8.8" }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "fr", "useGoogleTranslate": true }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": {}, "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 }