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@sohnryang
Created March 27, 2021 11:07
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Coupled Oscillator
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 연성진동 시뮬레이션\n",
"연성진동을 시뮬레이션해 보자. 당연히 처음부터 끝까지 못만드니까, `import`부터 해야한다."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.fftpack"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"운동방정식은 다음과 같다.\n",
"\n",
"$$\n",
"m\\ddot{x}=-\\frac{\\partial V}{\\partial x}=-2kx+ky \\\\\n",
"m\\ddot{y}=-\\frac{\\partial V}{\\partial y}=kx-2ky\n",
"$$\n",
"\n",
"우선 상숫값을 정하자."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"x_init = -10\n",
"y_init = 10\n",
"v_x_init = 0\n",
"v_y_init = 0\n",
"k1 = 10\n",
"k2 = 20\n",
"k3 = 30\n",
"m1 = 20\n",
"m2 = 10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"초기 운동 상태는 다음과 같을 것이다."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"initial_state = np.array([x_init, y_init, v_x_init, v_y_init])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"상태가 주어졌을 때 가속도를 계산하는 함수 `diff`는 다음과 같다."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def diff(pos):\n",
" x, y = pos\n",
" return np.array([(-k1 * x - k2 * (x - y)) / m1, (k2 * (x - y) - k3 * y) / m2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"이제 velocity verlet을 사용하여 시뮬레이션을 해보자."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def velocity_verlet(initial_state, t_start, t_end, num_steps, diff):\n",
" timesteps = np.linspace(t_start, t_end, num_steps)\n",
" dt = timesteps[1] - timesteps[0]\n",
" solution = np.array([initial_state])\n",
" prev_acc = np.zeros((2,))\n",
" current = initial_state\n",
" current_step = 0\n",
" while len(solution) < len(timesteps):\n",
" prev_pos = current[:2]\n",
" prev_vel = current[2:]\n",
" new_vel = prev_vel + 0.5 * prev_acc * dt\n",
" new_pos = prev_pos + new_vel * dt\n",
" new_acc = diff(new_pos)\n",
" new_vel = new_vel + 0.5 * new_acc * dt\n",
" current = np.array([*new_pos, *new_vel])\n",
" solution = np.append(solution, [current], axis=0)\n",
" current_step += 1\n",
" prev_acc = new_acc\n",
" return solution, timesteps"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"직접 돌려보자."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"sample_points = 3000\n",
"sample_spacing = 1 / 100\n",
"solution, timesteps = velocity_verlet(initial_state, 0, sample_points * sample_spacing, sample_points, diff)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"그려보자."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1382.4x691.2 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = solution[:,0]\n",
"y = solution[:,1]\n",
"plt.figure(figsize=(19.2, 9.6))\n",
"plt.plot(timesteps, x, label='x')\n",
"plt.plot(timesteps, y, label='y')\n",
"plt.title('Coupled Oscillator')\n",
"plt.xlabel('Time')\n",
"plt.ylabel('Position')\n",
"plt.legend(loc='best')\n",
"plt.show()"
]
}
],
"metadata": {
"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": "3.9.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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