{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial we are going to make a simple model of a human (or humaniod robot) that is capable of balancing on its own. We will make several assumptions:\n", "\n", "- The human's motion is limited to a 2D plane (i.e. leaning backwards and forwards).\n", "- We only have three degrees of freedom: rotation at the ankle, knee, and hip.\n", "- The two legs do not move independently, but as one body (i.e. left and right thigh are one rigid body).\n", "- The forces generated by the muscles will be modeled as ideal torques between the adjacent body segments.\n", "\n", "The following diagram shows the model and all of the parameters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('figures/human_balance_diagram.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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hwrNuM61QfAgNBsLgP7ZeJ70IeBtXyzJZVdfH/lBEBCCg9cj9cf8mnyrweGRW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B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\nNwHb2hItUET6Ub8PHASMw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"prompt_number": 4, "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reference Frames\n", "----------------\n", "\n", "There are four reference frames and six important points. The orange inertial reference frame, $I$, is attached to the foot which is rigidly attached to the ground. The blue lower leg reference frame, $L$, is attached to the foot by a pin joint at the ankle point $A$ and rotates relative to the foot through $\\theta_1$. The green upper leg reference frame, $U$, is attached to the lower leg by a pin joint at the knee point $K$ and rotates relative to the lower leg through angle $\\theta_2$. The red torso reference frame, $T$, is pinned to the upper leg at the hip point, $H$, and rotates relative to the upper leg through the angle $\\theta_3$. Note that all rotations are about the $z$ axis and that they are relative to the orientation of the preceding body.\n", "\n", "Geometry\n", "--------\n", "\n", "The lower and upper legs' lengths are defined as $l_L$ and $l_U$.\n", "\n", "Mass Centers\n", "-------------\n", "\n", "The three points $L_o$, $U_o$, $T_o$ are the mass centers of the body segments. These are each located on the line connecting the proximal and distal joints of each body segment and are located by the dimensions: $d_L$, $d_U$, and $d_T$.\n", "\n", "Gravity\n", "-------\n", "\n", "Gravity is directed downwards ($-y$) and applies a force with a magnitude of $m_Lg,m_Ug,m_Tg$ at each mass center, respectively.\n", "\n", "Torques\n", "-------\n", "\n", "Three torques represent the forces due to muscles contracting. The ankle $T_A$, knee $T_K$, and hip $T_H$ torques apply equal and opposite torques to the adjoining body segments.\n", "\n" ] } ], "metadata": {} } ] }