Single Effect Stamping Press Mechanism

Single Effect Stamping Press Mechanism
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2020-04-02 01:02
This example illustrates the working principle of a single effect stamping press. Key mathematical concepts include circles, rotation, intersection, lines, angles, and segments. The construction uses GeoGebra commands such as Circle, Rotate, Intersect, and Line. Suitable for high school mathematics education, particularly in coordinate geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, r1) → c
  2. Point(c) → B
  3. Rotate(B, ang, A) → B'
  4. Circle(B', r2) → d
  5. Point(d) → C
  6. Circle(D, l3) → e
  7. Circle(C, l4) → f
  8. Intersect(f, e) → E, F, ,
  9. Line(E, D) → n_1
  10. Circle(D, r3) → p_1
  11. Intersect(p_1, n_1) → B_1, C1
  12. Rotate(C1, ang1, D) → C1'
  13. Point(p_1) → B2
  14. Angle(B, A, B') → α
  15. Segment(D, E) → g
  16. Point(d) → G
  17. Circle(G, l5) → h
  18. Point(h) → H
  19. Circle(H, l6) → k
  20. Intersect(k, ax) → J, K
  21. Segment(H, K) → i
  22. Circle(K, r0) → p
  23. Circle(H, r0) → q
  24. Circle(E, r0) → r
  25. Circle(D, r0) → s
  26. Point(q) → L
  27. Point(p) → M
  28. Segment(L, M) → j
  29. Point(q) → N
  30. Point(p) → O
  31. Segment(N, O) → l
  32. OrthogonalLine(E, g) → m
  33. OrthogonalLine(D, g) → n
  34. Intersect(r, m) → P, Q
  35. Intersect(s, n) → R, S
  36. Segment(P, R) → t
  37. Segment(Q, S) → a
  38. Circle(H, r00) → c_1
  39. Circle(E, r00) → d_1
  40. Circle(B', r000) → e_1
  41. Point(c_1) → T
  42. Tangent(T, e_1) → b, f_1
  43. Intersect(e_1, f_1) → U
  44. Segment(U, T) → g_1
  45. Point(c_1) → V
  46. Tangent(V, d_1) → h_1, i_1
  47. Intersect(d_1, h_1) → W
  48. Segment(W, V) → j_1
  49. Point(e_1) → Z
  50. Tangent(Z, d_1) → k_1, l_1
  51. Intersect(d_1, l_1) → A_1
  52. Segment(Z, A_1) → m_1
  53. Circle(AA, r4) → s_1
  54. Circle(C1', r3) → r_1
  55. Intersect(r_1, s_1) → D_1, E_1, ,
  56. Circle(D_1, l8) → c_2
  57. Circle(AA, l9) → d_2
  58. Intersect(d_2, c_2) → F1, G_1, ,
  59. Segment(AA, F1) → a_1
  60. Line(E, B2) → g_2
  61. Segment(D_1, AA) → b_1
  62. Segment(F1, D_1) → f_2
  63. Angle(C1, D, C1') → β
  64. Segment(D, C1') → q_1
  65. Segment(C1', D_1) → t_1
  66. Circle(F1, l11) → e_2
  67. Point(xAxis) → C_1
  68. Line(C_1, F_1) → h_2
  69. Intersect(e_2, h_2) → H_1, I_1
  70. Segment(F1, H_1) → i_2
  71. Circle(F1, r0) → k_2
  72. Circle(AA, r0) → p_2
  73. Circle(D_1, r0) → q_2
  74. Circle(H_1, r0) → r_2
  75. Circle(C1', r0) → s_2
  76. Point(r_2) → J_1
  77. Tangent(J_1, k_2) → j_2, l_2
  78. Intersect(k_2, l_2) → K_1
  79. Segment(K_1, J_1) → m_2
  80. Tangent(K_1, q_2) → n_2, t_2
  81. Intersect(q_2, t_2) → L_1
  82. Segment(L_1, K_1) → a_2
  83. Point(k_2) → M_1
  84. Tangent(M_1, p_2) → b_2, f_3
  85. Intersect(p_2, b_2) → N_1
  86. Segment(M_1, N_1) → g_3
  87. Point(p_2) → O_1
  88. Tangent(O_1, q_2) → h_3, i_3
  89. Intersect(q_2, h_3) → P_1
  90. Segment(P_1, O_1) → j_3
  91. Point(r_2) → Q_1
  92. Tangent(Q_1, k_2) → k_3, l_3
  93. Intersect(k_2, k_3) → R_1
  94. Segment(R_1, Q_1) → m_3
  95. Point(s_2) → S_1
  96. Tangent(S_1, s) → n_3, p_3
  97. Intersect(s, n_3) → T_1
  98. Segment(S_1, T_1) → q_3
  99. Point(s_2) → U_1
  100. Tangent(U_1, s) → r_3, s_3
  101. Intersect(s, s_3) → V_1
  102. Segment(U_1, V_1) → t_3
  103. Tangent(L_1, s_2) → a_3, b_3
  104. Intersect(s_2, b_3) → W_1
  105. Segment(W_1, L_1) → c_3
  106. Point(q_2) → Z_1
  107. Tangent(Z_1, s_2) → d_3, e_3
  108. Intersect(s_2, d_3) → A_2
  109. Segment(A_2, Z_1) → f_4

AI Drawing Prompt Reference

Draw a schematic of a single-effect stamping press mechanism. Start with a large circle centered at a fixed point, place a point on it, and rotate that point around the center by an angle to get a new point. Use this new point as the center for a second circle, and place a point on it. Then draw circles centered at two fixed points, find their intersections, and connect one intersection to a fixed point with a segment. Draw a smaller circle centered at a fixed point, intersect it with the segment, take the intersection point and rotate it. Continue constructing auxiliary circles and intersections to form the linkage. Finally, add small circles, tangents, and perpendicular lines to complete the motion diagram.
The prompt above was compiled from the original drawing commands and is for reference only.