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四杆机构的速度与加速度图解

四杆机构的速度与加速度图解
几何画板及绘图内容加载中，请稍等……
2018-08-09 07:27
角向量几何作图
本范例展示了四杆机构的速度和加速度图解，通过几何作图直观地展示了机构运动的动态特性。核心数学概念包括向量、角度和旋转。使用了GeoGebra中的Intersect、Rotate、Angle、Segment、Point等命令进行构造。适合机械工程和数学教育领域，特别是研究机构运动学的学生和教师。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → O_2
  2. Intersect(c_1, xAxis, 2) → C
  3. Rotate(C, θ, O_2) → A
  4. Angle(C, O_2, A) → β
  5. Segment(O_2, A) → f
  6. Point(Circle[O_2, d]) → O_4
  7. Segment(O_2, O_4) → g
  8. Circle(A, b) → h
  9. Intersect(e, h, 2) → B
  10. Segment(A, B) → i
  11. Segment(B, O_4) → j
  12. Point(yAxis) → E
  13. OrthogonalLine(E, f) → k
  14. Circle(E, Vs) → p
  15. Intersect(p, k, 2) → F
  16. Vector(E, F) → V_A
  17. OrthogonalLine(F, i) → l
  18. OrthogonalLine(E, j) → m
  19. Intersect(l, m) → G
  20. Vector(E, G) → V_B
  21. Vector(F, G) → V_{BA}
  22. Line(E, f) → n
  23. Circle(E, an2) → q
  24. Intersect(q, n, 1) → H
  25. Vector(E, H) → a_{An}
  26. OrthogonalLine(H, a_{An}, xOyPlane) → f_1
  27. Circle(H, at2) → d_1
  28. Intersect(f_1, d_1, 2) → J
  29. Line(J, i) → g_1
  30. Point(Circle[O_4, 2]) → M
  31. Segment(O_4, M) → j_1
  32. Angle(M, O_4, B) → ε
  33. Distance(E, G) → distanceEG
  34. Distance(F, G) → distanceFG
  35. Distance(E, F) → distanceEF
  36. Distance(O_2, A) → distanceBC'
  37. Distance(E, H) → distanceEH
  38. Circle(J, an3, xOyPlane) → e_1
  39. Intersect(g_1, e_1, 1) → N
  40. Vector(J, N) → w_1
  41. OrthogonalLine(N, w_1, xOyPlane) → k_1
  42. Line(E, j) → l_1
  43. Circle(E, an4) → p_1
  44. Intersect(p_1, l_1, 2) → P
  45. Intersect(p_1, l_1, 1) → Q
  46. Vector(E, P) → a_{Bn}
  47. OrthogonalLine(P, a_{Bn}, xOyPlane) → m_1
  48. Intersect(k_1, m_1) → R
  49. Vector(P, R) → a_{Bt}
  50. OrthogonalLine(N, w_1, xOyPlane) → s_1
  51. Vector(E, R) → a_B
  52. Intersect(f_1, d_1, 2) → S
  53. Vector(H, S) → a_{At}
  54. Vector(E, S) → a_A
  55. Line(S, i) → a_1
  56. Circle(S, an3, xOyPlane) → c_2
  57. Intersect(a_1, c_2, 1) → T
  58. Vector(S, T) → a_{BAn}
  59. OrthogonalLine(T, a_{BAn}, xOyPlane) → q_1
  60. Vector(T, R) → a_{BAt}
  61. Vector(S, R) → a_{BA}
  62. Distance(T, R) → distanceTR
  63. Distance(P, R) → distancePR
  64. Distance(E, H) → o
  65. Distance(H, S) → distanceHS
  66. Distance(H, T) → distanceHT
  67. Distance(T, R) → r
  68. Distance(E, P) → distanceEP
  69. Distance(P, R) → u
  70. Distance(C, B) → distanceCB
  71. Circle(T, at3, xOyPlane) → r_1
  72. Circle(P, at4) → t_1
  73. Distance(R, T) → distanceRT
  74. Distance(T, R) → v
  75. Distance(R, T) → w
  76. Distance(E, H) → b_1
  77. Distance(H, S) → n_1
  78. Distance(S, T) → distanceST
  79. Distance(T, R) → o_1
  80. Distance(E, P) → u_1
  81. Distance(P, R) → v_1
  82. Distance(S, R) → distanceSR
  83. Distance(E, S) → distanceES
  84. Distance(E, R) → distanceER
  85. Distance(O_2, C) → distanceO2C