{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2018-01-18T12:00:52.071243Z", "start_time": "2018-01-18T12:00:41.721117Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pixiedust database opened successfully\n" ] }, { "data": { "text/html": [ "\n", "
$a_{P}^{I} = a_{O}^{I} + (\\dot{\\omega}_{b} \\times r_{OP}^{b}) + a_{OP}^{b} + (2\\omega _{b} \\times v_{OP}^{b}) + \\omega_{b} \\times (\\omega _{b} \\times r_{OP}^{b}) - g$
\n", "$a_{P}^{I}$ is the inertial acceleration of P
\n", "$a_{O}^{I}$ is the inertial acceleration of O
\n", "$\\omega _{b}$ is the angular velocity of the body
\n", "$\\dot{\\omega}_{b}$ is the angular acceleration of the body
\n", "$r_{OP}^{b}$ is the vector from point O to point P
\n", "$a_{OP}^{b}$ is the acceleration of point P relative to point O
\n", "$v_{OP}^{b}$ is the velocity of point P relative to point O
\n", "$g$ is the gravitational acceleration
\n", "$\\times$ indicates cross product of 2 vectors
\n", " \n", "Assuming points O and P do not move within the body, $a_{OP}^{b}$ = 0 and $v_{OP}^{b}$ = 0. The previous equation is then reduced to\n", "$a_{P}^{I} = a_{O}^{I} + (\\dot{\\omega}_{b} \\times r_{OP}^{b}) + \\omega_{b} \\times (\\omega _{b} \\times r_{OP}^{b}) - g$
\n", "$a_{P}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP}^{b} - g$
\n", " \n", "$H_1 = \\begin{bmatrix}\n", "0 & -\\dot{\\omega}_z & \\dot{\\omega}_y \\\\ \n", "\\dot{\\omega}_z & 0& -\\dot{\\omega}_x\\\\ \n", " - \\dot{\\omega}_y& \\dot{\\omega}_x & 0\n", "\\end{bmatrix}$
\n", "\n", "$H_2 = \\begin{bmatrix}\n", "-(\\omega_{y}^2 + \\omega_{z}^2) & \\omega_x \\omega_y & \\omega_x \\omega_z \\\\ \n", "\\omega_x \\omega_y & -(\\omega_{x}^2 + \\omega_{z}^2) & \\omega_y \\omega_z \\\\ \n", "\\omega_x \\omega_z & \\omega_y \\omega_z & -(\\omega_{x}^2 + \\omega_{y}^2) \n", "\\end{bmatrix}$
\n", "\n", "Since points 1,2,3,4 and 5 are all on the same body, $H_1$ and $H_2$ are common to all of them \n", "$a_{P1}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP1}^{b} - g$
\n", "$a_{P2}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP2}^{b} - g$
\n", "$a_{P3}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP3}^{b} - g$
\n", "$a_{P4}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP4}^{b} - g$
\n", "$a_{P5}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP5}^{b} - g$
\n", "\n", "Subtracting $a_{P2}^{I}$, $a_{P3}^{I}$, $a_{P4}^{I}$ from $a_{P1}^{I}$ results in the following equations\n", "$a_{P1}^{I} - a_{P2}^{I} = (H_{1}+H_{2})(r_{OP1}^{b} - r_{OP2}^{b})$
\n", "$a_{P1}^{I} - a_{P3}^{I} = (H_{1}+H_{2})(r_{OP1}^{b} - r_{OP3}^{b})$
\n", "$a_{P1}^{I} - a_{P4}^{I} = (H_{1}+H_{2})(r_{OP1}^{b} - r_{OP4}^{b})$
\n", "\n", "$(H_{1}+H_{2})$ can be solved using the matrix equation below\n", "\n", "$\\begin{bmatrix}\n", "AccX_1 - AccX_2 & AccX_1 - AccX_3 & AccX_1 - AccX_4\\\\ \n", "AccY_1 - AccY_2 & AccY_1 - AccY_3 & AccY_1 - AccY_4\\\\ \n", "AccZ_1 - AccZ_2 & AccZ_1 - AccZ_3 & AccZ_1 - AccZ_4\n", "\\end{bmatrix} =[H_{1} +H_{2}] \\begin{bmatrix}\n", "PosX_1 - PosX_2 & PosX_1 - PosX_3 & PosX_1 - PosX_4\\\\ \n", "PosY_1 - PosY_2 & PosY_1 - PosY_3 & PosY_1 - PosY_4\\\\ \n", "PosZ_1 - PosZ_2 & PosZ_1 - PosZ_3 & PosZ_1 - PosZ_4\n", "\\end{bmatrix}$\n", "\n", "$[Acc_{1-n}] = [H_{1} +H_{2}][Pos_{1-n}]$
\n", "$[H_{1} +H_{2}] = [Acc_{1-n}][Pos_{1-n}]^{-1}$
\n", "$H\\_mat = [R\\_Acc\\_mat] [R\\_Pos\\_mat]^{-1}$
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculate relative accelerations and positions using filtered data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$[Acc_{1-n}]$ or $[R\\_Acc\\_mat]$ are the relative accelerations
\n", "$[Pos_{1-n}]^{-1}$ or $[R\\_Pos\\_mat]^{-1}$ are the relative positions
" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-01-18T12:00:57.546191Z", "start_time": "2018-01-18T12:00:57.520422Z" } }, "outputs": [], "source": [ "# CALCULATATE POSITIONS OF ALL SENSORS RELATIVE TO P1\n", "for i in range (1,6):\n", " globals()[\"p\"+str(i)]['Rel_Pos_X'] = p1.f_Pos_X - globals()[\"p\"+str(i)].f_Pos_X \n", " globals()[\"p\"+str(i)]['Rel_Pos_Y'] = p1.f_Pos_Y - globals()[\"p\"+str(i)].f_Pos_Y \n", " globals()[\"p\"+str(i)]['Rel_Pos_Z'] = p1.f_Pos_Z - globals()[\"p\"+str(i)].f_Pos_Z\n", " \n", "for i in range (1,6):\n", " globals()[\"p\"+str(i)]['Rel_Acc_X'] = p1.f_Acc_X - globals()[\"p\"+str(i)].f_Acc_X \n", " globals()[\"p\"+str(i)]['Rel_Acc_Y'] = p1.f_Acc_Y - globals()[\"p\"+str(i)].f_Acc_Y \n", " globals()[\"p\"+str(i)]['Rel_Acc_Z'] = p1.f_Acc_Z - globals()[\"p\"+str(i)].f_Acc_Z" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Relative accelerations for selected time range (35-65 seconds)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2018-01-18T12:00:58.526602Z", "start_time": "2018-01-18T12:00:57.547754Z" } }, "outputs": [ { "data": { "image/png": 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SNlcPBtWmZubkldLqaUfV1Iz7+xzL8ITTeBlegIUF89nTuY9TA/VU5MyOPT0v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\nEoa8AoLt7XS19hKJ6pMFPd39mKwqmqb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eezZTef+MQnPdjEJzWQHWxdhQGICWjhqkQoJ8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7fpAo9+bAt3fWANH/7MNj7w0U2YdNBvX80rrw6AugyNoZBYoJ10cm55nl6tpymvkbHo+LxSJIsh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\n1h1MT7q5ZXErs/aVFZ2YQ84J53izkQjZ/