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行星齿轮

行星齿轮
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2019-06-05 03:35
圆向量几何作图
这个范例演示了行星齿轮的工作原理。它涉及圆周运动和旋转角度的概念。通过使用GeoGebra命令如Circle、Rotate、Polygon等，可以动态展示行星齿轮的运动轨迹。适合高中或大学机械工程和数学课程。

GeoGebra 命令及参数

  1. Min(abs(ncarrier), abs(nring)) → nrot_2
  2. Min(abs(nsolar), abs(ncarrier)) → nrot_1
  3. Intersect(xAxis, yAxis) → A
  4. Circle(B, (Tplanetary * 5)) → d
  5. Circle(A, (Tsolar * 5)) → c
  6. Intersect(c, d, 1) → H
  7. Rotate(I, alfa_1, A) → I'
  8. Polygon(C, B, D) → poly1, d_1, c_1, b_1
  9. Textfield(ncarrier) → Input_ncarrier
  10. Textfield(Tsolar) → Input_Tsolar
  11. Textfield(Tplanetary) → Input_Tplanetary
  12. Circle(A, ((Tsolar + Tplanetary) * 5)) → g
  13. Circle(E, (Tring * 5)) → h
  14. Circle(D, (Tplanetary * 5)) → f
  15. Circle(C, (Tplanetary * 5)) → e
  16. Intersect(c, e, 1) → F
  17. Intersect(c, f, 1) → G
  18. Polygon(G, F, H) → poly2, h_1, g_1, f_1
  19. Rotate(L, beta_1, A) → L'
  20. Angle(L, A, L') → β
  21. Angle(I, A, I') → α
  22. Textfield(nsolar) → Input_nsolar
  23. Rotate(I', (30° * nsolar / (abs(nsolar) + 1)), A) → I''
  24. Vector(I', I'') → u
  25. Rotate(L', ((30° * nring / (abs(nring) + 1)) * Tsolar / Tring), A) → L''
  26. Vector(L', L'') → v
  27. Rotate(J, gama_1, B) → J'
  28. Rotate(J', ((30° * nplanetary / (abs(nplanetary) + 1)) * Tsolar / Tplanetary), B) → J''
  29. Vector(J', J'') → w