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Fourbar Mechanism Velocity and Acceleration Diagrams

Fourbar Mechanism Velocity and Acceleration Diagrams
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2018-08-09 07:27
AngleVectorGeometric Construction
This example demonstrates the velocity and acceleration diagrams of a fourbar mechanism, providing a dynamic visualization of the motion characteristics. Key mathematical concepts include vectors, angles, and rotation. GeoGebra commands such as Intersect, Rotate, Angle, Segment, and Point are used in construction. Suitable for mechanical engineering and mathematics education, particularly for students and teachers studying mechanism kinematics.

GeoGebra Commands & Parameters

  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