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import numpy as np
import matplotlib.pyplot as plt
import matplotlib.patches
import matplotlib.transforms
import matplotlib.text
from matplotlib.animation import FuncAnimation
import imageio
from simulation import Simulation
class Mass:
def __init__(self, x_0, width, height, **kwargs):
self._x_0 = x_0
xy = (x_0, 0)
self._rect = matplotlib.patches.Rectangle(xy, width, height, **kwargs)
@property
def patch(self):
return self._rect
@property
def x(self):
return self._rect.get_x()
@property
def width(self):
return self._rect.get_width()
def move(self, x):
self._rect.set_x(self._x_0 + x)
class Spring:
def __init__(self, n, height, ax, resolution=1000, **kwargs):
self._n = n
self._height = height
self._N = resolution
(self._line,) = ax.plot([], [], "-", **kwargs)
def set(self, x_0, x_1):
T = (x_1 - x_0) / self._n
x = np.linspace(x_0, x_1, self._N, endpoint=True)
t = np.linspace(0, x_1 - x_0, self._N)
y = (np.sin(2 * np.pi * t / T) + 1.5) * self._height / 2
self.line.set_data(x, y)
@property
def line(self):
return self._line
class LinePlot:
def __init__(self, ax, **kwargs):
(self._line,) = ax.plot([], [], "-", **kwargs)
self._x = []
self._y = []
@property
def line(self):
return self._line
def update(self, x, y):
self._x.append(x)
self._y.append(y)
self._line.set_data(self._x, self._y)
class ScatterPlot:
def __init__(self, ax, **kwargs):
self._color = kwargs.get("color", "tab:green")
self._line = ax.scatter([], [], **kwargs)
self._ax = ax
self._x = []
self._y = []
@property
def line(self):
return self._line
def update(self, x, y, **kwargs):
self._x.append(x)
self._y.append(y)
self._line.remove()
self._line = self._ax.scatter(self._x, self._y, color=self._color, **kwargs)
class QuiverPlot:
def __init__(self, ax, **kwargs):
self.x = []
self.y = []
self.u = []
self.v = []
self.ax = ax
self.ln = self.ax.quiver([], [], [], [])
def update(self, x, y, u, v):
self.x.append(x)
self.y.append(y)
self.u.append(u)
self.v.append(v)
self.ln.remove()
self.ln = self.ax.quiver(self.x, self.y, self.u, self.v)
@property
def line(self):
return self.ln
anim_folder = "anim_0"
img_counter = 0
sim = Simulation()
params = {
"x_0": [2, -2],
"k_1": 1,
"k_c": 2,
"k_2": 1,
"m_1": 0.5,
"m_2": 0.5,
}
time = 2.1
# create axis
fig = plt.figure(figsize=(20, 15), constrained_layout=True)
fig.suptitle(
" ,".join([f"${key} = {val}$" for (key, val) in params.items()]), fontsize=20
)
spec = fig.add_gridspec(3, 4)
ax0 = fig.add_subplot(spec[-1, :])
ax1 = fig.add_subplot(spec[:-1, :2])
ax2 = fig.add_subplot(spec[:-1, 2:])
ax0.set_yticks([])
mass_height = 0.5
spring_height = 0.6 * mass_height
x_max = 21
y_max = 2 * mass_height
mass_1 = Mass(
7,
2,
mass_height,
color="tab:red",
)
mass_2 = Mass(14, 2, mass_height, color="tab:blue")
masses = [mass_1, mass_2]
patches = [mass.patch for mass in masses]
spring_1 = Spring(4, spring_height, ax0, color="tab:red", linewidth=10)
spring_2 = Spring(4, spring_height, ax0, color="tab:gray", linewidth=10)
spring_3 = Spring(4, spring_height, ax0, color="tab:blue", linewidth=10)
springs = [spring_1, spring_2, spring_3]
linePlot_1 = LinePlot(ax1, color="tab:red", label="$m_1$", alpha=1)
linePlot_2 = LinePlot(ax1, color="tab:blue", label="$m_2$", alpha=1)
linePlots = [linePlot_1, linePlot_2]
# quiverPlot = QuiverPlot(ax2)
scatterPlot = ScatterPlot(ax2)
lines = [spring.line for spring in springs]
lines.extend([plot.line for plot in linePlots])
# lines.append(quiverPlot.line)
lines.append(scatterPlot.line)
objects = lines + patches
ax0.plot(
np.repeat(mass_1.x, 2),
[0, y_max],
"--",
color="tab:red",
label="Ruhezustand $m_1$",
)
ax0.plot(
np.repeat(mass_2.x, 2),
[0, y_max],
"--",
color="tab:blue",
label="Ruhezustand $m_2$",
)
def init():
ax0.set_xlim(0, x_max)
ax0.set_ylim(0, y_max)
ax1.set_xlim(0, time)
ax1.set_ylim(-4, 4)
ax1.set_xlabel("time", fontsize=20)
ax1.set_ylabel("$q$", fontsize=20)
ax2.set_xlim(-4, 4)
ax2.set_ylim(-4, 4)
ax2.set_xlabel("$q_1$", fontsize=20)
ax2.set_ylabel("$q_2$", fontsize=20)
for patch in patches:
ax0.add_patch(patch)
spring_1.set(0, mass_1.x)
spring_2.set(mass_1.x + mass_1.width, mass_2.x)
spring_2.set(mass_2.x + mass_2.width, x_max)
return objects
def update(frame):
global img_counter
x_1, x_2 = sim(frame, **params)
mass_1.move(x_1)
mass_2.move(x_2)
spring_1.set(0, mass_1.x)
spring_2.set(mass_1.x + mass_1.width, mass_2.x)
spring_3.set(mass_2.x + mass_2.width, x_max)
linePlot_1.update(frame, x_1)
linePlot_2.update(frame, x_2)
scatterPlot.update(x_1, x_2, alpha=0.25)
img_counter += 1
return objects
anim = FuncAnimation(
fig,
update,
frames=np.linspace(0, time, int(time * 30)),
init_func=init,
blit=False,
)
ax0.legend(fontsize=20)
ax1.legend(fontsize=20)
FFwriter = matplotlib.animation.FFMpegWriter(fps=30)
anim.save("animation.mp4", writer=FFwriter)
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