xdata = np.linspace(0, 2 * np.pi, 50)
fig, ax = plt.subplots(1, 1, figsize=(8, 5))
b_cir = ax.plot(5 * np.cos(xdata), 5 * np.sin(xdata))

# 配置下画布
ax.spines['bottom'].set_visible(False)  # 清除下脊
ax.spines['top'].set_visible(False)    # 清除上脊
ax.spines['left'].set_visible(False)   # 清除左脊
ax.spines['right'].set_visible(False)   # 清除右脊
# 取消刻度和数字标签
ax.tick_params(bottom='off', left='off', labelbottom='off', labelleft='off')

x = r * cos(w * t) + a 
y = r * sin(w * t) + b

def update(frame):
  movX1 = 5 * np.cos(frame * 1)
  movY1 = 5 * np.sin(frame * 1)
  movp1.set_data(movX1, movY1)  # 更新移动点数据
  return movp1,   # 还是得有','
ani = FuncAnimation(fig, update, frames=xdata, blit=True)

c_sub1, = ax.plot([], [], animated=True)
# 修改 update 函数生成在基础圆上移动的圆
def update(frame):
  # 计算移动点
  # 计算移动圆
  c_sub1X = 2 * np.cos(xdata) + movX1
  c_sub1Y = 2 * np.sin(xdata) + movY1
  # 更新移动点数据
  c_sub1.set_data(c_sub1X, c_sub1Y)
  return movp1, c_sub1,

movp2, = ax.plot([], [], 'ro', animated=True)
c_sub2, = ax.plot([], [], animated=True)
def update(frame):
# 计算第1个移动点和圆
# 计算第2个移动点和圆
movX2 = movX1 + 2 * np.cos(frame * 3)
movY2 = movY1 + 2 * np.sin(frame * 3)
c_sub2X = 1 * np.cos(xdata) + movX2
c_sub2Y = 1 * np.sin(xdata) + movY2

# 更新第1个移动点和圆
# 更新第2个移动点和圆
movp2.set_data(movX2, movY2)
c_sub2.set_data(c_sub2X, c_sub2Y)
return movp1, c_sub1, movp2, c_sub2,

sine, = ax.plot(xdata + 10, np.zeros(50))
def update(frame):
# 计算第1个移动点和圆
# 计算第2个移动点和圆
# 计算波形曲线的 y 值
s = 5 * np.sin((xdata+frame) * 1) +   2 * np.sin((xdata+frame) * 3) +   1 * np.sin((xdata+frame) * 5)

# 更新第1个移动点和圆
# 更新第2个移动点和圆
# 更新波形曲线
sine.set_ydata(s)
return movp1, c_sub1, movp2, c_sub2, sine,

movp3, = ax.plot([], [], 'ro', animated=True) # 添加第3个圆上的移动点
ln, = ax.plot([], [], animated=True)
def update(frame):
# 计算第1个移动点和圆
# 计算第2个移动点和圆
# 计算波形曲线的 y 值
# 计算第3个移动点
movX3 = movX2 + 1 * np.cos(frame * 5)
movY3 = movY2 + 1 * np.sin(frame * 5)

# 更新第1个移动点和圆
# 更新第2个移动点和圆
# 更新波形曲线
ln.set_data([movX3, 10 + 2 * np.pi], [movY3, movY3])
return movp1, c_sub1, movp2, c_sub2, sine, movp3, ln

ani.save("multiSin.gif", writer='imagemagick', fps=200, dpi=50)

import matplotlib
matplotlib.matplotlib_fname()

rcParams['animation.convert_path'] = '[imagemagick的安装路径]\\ImageMagick-7.0.8-Q16\\magick.exe'