{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\int r\\, dA_{r}$"
],
"text/plain": [
"Integral(r, A_r)"
]
},
"execution_count": 1,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"from sympy import *\n",
"\n",
"r,phi,A,A_r = symbols('r,phi,A,A_r')\n",
"x,y= symbols('x,y')\n",
"R=symbols('R')\n",
"\n",
"Integral(r,A_r)\n",
"\n",
"#Integral(1,x,y)\n",
"#Integral(1,(r,0,R),(phi,0,2*pi)).doit()\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\left[\\begin{matrix}\\cos{\\left(\\phi \\right)} & - r \\sin{\\left(\\phi \\right)}\\\\\\sin{\\left(\\phi \\right)} & r \\cos{\\left(\\phi \\right)}\\end{matrix}\\right]$"
],
"text/plain": [
"Matrix([\n",
"[cos(phi), -r*sin(phi)],\n",
"[sin(phi), r*cos(phi)]])"
]
},
"execution_count": 2,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"(Matrix([r*cos(phi), r*sin(phi)]).jacobian([r,phi]))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle r \\sin^{2}{\\left(\\phi \\right)} + r \\cos^{2}{\\left(\\phi \\right)}$"
],
"text/plain": [
"r*sin(phi)**2 + r*cos(phi)**2"
]
},
"execution_count": 3,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"(Matrix([r*cos(phi), r*sin(phi)]).jacobian([r,phi])).det()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\pi R^{2}$"
],
"text/plain": [
"pi*R**2"
]
},
"execution_count": 4,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Integral(r,(r,0,R),(phi,0,2*pi)).doit()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\int 1\\, dV$"
],
"text/plain": [
"Integral(1, V)"
]
},
"execution_count": 5,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"V,H=symbols('V,H')\n",
"\n",
"Integral(1,V)"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\pi H R^{2}$"
],
"text/plain": [
"pi*H*R**2"
]
},
"execution_count": 6,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Integral(H*r,(r,0,R),(phi,0,2*pi)).doit()"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"$ \\int^{R}_0 \\int^{2 \\pi}_0 \\int^{H}_0 1 dr d \\varphi dz $ \n",
"\n",
"$ \\pi H R^{2} $"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\\pi H R^{2}\n"
]
}
],
"source": [
"expr=Integral(H*r,(r,0,R),(phi,0,2*pi)).doit()\n",
"\n",
"print(latex(expr))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)}$"
],
"text/plain": [
"Derivative(x(t), (t, 2))"
]
},
"execution_count": 8,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"t=symbols('t')\n",
"\n",
"(t**2 + t +10).diff(t)\n",
"\n",
"x=Function('x')\n",
"\n",
"\n",
"x(t).diff(t).diff(t)"
]
},
{
"attachments": {
"sdof_free.png": {
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"
},
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"
}
},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"# Single Degree of Freedom system\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"# Newtown's second law"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle a m_{12} = F$"
],
"text/plain": [
"Eq(a*m_12, F)"
]
},
"execution_count": 10,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"m,a,F, F_k,F_c,k,c,F0=symbols('m_12,a,F, F_k,F_c,k,c,F_0')\n",
"\n",
"\n",
"\n",
"Eq(m*a,F)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"# Hooke's Law - dependency which describes force of the connetor, where x is distance(displacement, exact posistion of mass place in the space, coordinate system), k is coeficient of stiffness"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle F_{k} = k x{\\left(t \\right)}$"
],
"text/plain": [
"Eq(F_k, k*x(t))"
]
},
"execution_count": 12,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"# For the spring\n",
"eq_hook=Eq(F_k,k*x(t))\n",
"eq_hook"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle a = \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)}$"
],
"text/plain": [
"Eq(a, Derivative(x(t), (t, 2)))"
]
},
"execution_count": 13,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"# formula for acceleration \n",
"\n",
"Eq(a,x(t).diff(t,2))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle m_{12} \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)} = - k x{\\left(t \\right)}$"
],
"text/plain": [
"Eq(m_12*Derivative(x(t), (t, 2)), -k*x(t))"
]
},
"execution_count": 14,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"eom=Eq(m*x(t).diff(t,2),-x(t)*k )\n",
"eom"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle k x{\\left(t \\right)} + m_{12} \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)} = 0$"
],
"text/plain": [
"Eq(k*x(t) + m_12*Derivative(x(t), (t, 2)), 0)"
]
},
"execution_count": 15,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Eq(eom.rewrite(Add),0)"
]
},
{
"attachments": {
"scheme_trolley.png": {
"image/png": 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"
},
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"
}
},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
""
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle m_{12} \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)} = F_{0} \\sin{\\left(\\Omega t \\right)} - c \\frac{d}{d t} x{\\left(t \\right)} - k x{\\left(t \\right)}$"
],
"text/plain": [
"Eq(m_12*Derivative(x(t), (t, 2)), F_0*sin(\\Omega*t) - c*Derivative(x(t), t) - k*x(t))"
]
},
"execution_count": 16,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Omg=Symbol('\\Omega')\n",
"\n",
"eom=Eq(m*x(t).diff(t,2),-x(t)*k-c*x(t).diff(t) +F0*sin(Omg*t))\n",
"eom"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle F_{c} = c \\frac{d}{d t} x{\\left(t \\right)}$"
],
"text/plain": [
"Eq(F_c, c*Derivative(x(t), t))"
]
},
"execution_count": 17,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"# Describe the force of disconector, dumper, (C-element), c - dissipative property and this formula describes velocity with respect to c, dissipative(drag, ressistant) force - \n",
"# force which acts in opposite direction with respect to the main force.\n",
"# If the velocity is higher the higher drag(dumper) force\n",
"# spring tries to keep system equivalent,\n",
"# dumper just transfers the energy\n",
"Eq(F_c,c*x(t).diff(t))"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"https://en.wikipedia.org/wiki/Hooke%27s_law\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\frac{m_{12} \\left(\\frac{d}{d t} x{\\left(t \\right)}\\right)^{2}}{2}$"
],
"text/plain": [
"m_12*Derivative(x(t), t)**2/2"
]
},
"execution_count": 18,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"# As x might represent the distance, to find the speed we need just to find derivative, Formula for kinetic energy, labor\n",
"T=S.One/2 * m * x(t).diff(t)**2\n",
"V= Integral(k*x(t),x(t))\n",
"\n",
"T"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\frac{k x^{2}{\\left(t \\right)}}{2}$"
],
"text/plain": [
"k*x(t)**2/2"
]
},
"execution_count": 19,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"# https://en.wikipedia.org/wiki/Work_(physics)\n",
"#formula for potential energy\n",
"\n",
"V.doit()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle k x^{2}{\\left(t \\right)}$"
],
"text/plain": [
"k*x(t)**2"
]
},
"execution_count": 20,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"# wrong approach - just for explanation\n",
"\n",
"W=F_k *x(t)\n",
"#application of Hooke's law\n",
"W.subs(eq_hook.lhs,eq_hook.rhs)"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"# amount of motion is kinetic energy, capacity of energy is the potential energy."
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle c \\frac{d}{d t} x{\\left(t \\right)} + 2 k x{\\left(t \\right)} - k \\sin{\\left(\\Omega t \\right)} + m_{12} \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)} = 0$"
],
"text/plain": [
"Eq(c*Derivative(x(t), t) + 2*k*x(t) - k*sin(\\Omega*t) + m_12*Derivative(x(t), (t, 2)), 0)"
]
},
"execution_count": 33,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"v=x(t).diff(t)\n",
"\n",
"V=S.One/2*k* x(t)**2 + S.One/2*k*(-1*sin(Omg*t)+x(t))**2\n",
"\n",
"#Solution using the lagrangian mechanics application, difference between kinetic energy and potential energy solution for the out with the first picture(out 8), picture with single degree\n",
"L=(T-V).doit()\n",
"#dissipative potential\n",
"D = S.One /2 * c * v**2\n",
"\n",
"\n",
"\n",
"\n",
"Eq(L.diff(v).diff(t)-L.diff(x(t)) + D.diff(v),0).expand().doit()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle m_{12} \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)} = F_{0} \\sin{\\left(\\Omega t \\right)} - c \\frac{d}{d t} x{\\left(t \\right)} - k x{\\left(t \\right)}$"
],
"text/plain": [
"Eq(m_12*Derivative(x(t), (t, 2)), F_0*sin(\\Omega*t) - c*Derivative(x(t), t) - k*x(t))"
]
},
"execution_count": 23,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"eom"
]
},
{
"attachments": {
"scheme_with_frames.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"\n"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle m_{12} \\frac{d^{2}}{d t^{2}} x{\\left(t \\right)} = - c \\frac{d}{d t} x{\\left(t \\right)} - 2 k x{\\left(t \\right)} + k \\sin{\\left(\\Omega t \\right)}$"
],
"text/plain": [
"Eq(m_12*Derivative(x(t), (t, 2)), -c*Derivative(x(t), t) - 2*k*x(t) + k*sin(\\Omega*t))"
]
},
"execution_count": 34,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"# in this case u is the displacement, in general it is given by the data, and aslo it can be understood from the case for the letter\n",
"\n",
"\n",
"eom_u0=Eq(m*x(t).diff(t,2),-x(t)*k-c*x(t).diff(t) + k*(1*sin(Omg*t)-x(t)) ) \n",
"eom_u0.expand()\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
}
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