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stackmax

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Mar 28th, 2012
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  1. finalnew = (6 d kd u^2 (-12 d^2 ka (2 ka +
  2. L (kd + I \[Omega]))^2 \[Omega] (I kd + \[Omega]) Cos[(-1)^(
  3. 1/4) L Sqrt[\[Omega]/d]] + \[Omega] (ka^4 L^3 \[Omega]^2 -
  4. 24 d^3 ka (kd^2 + \[Omega]^2) +
  5. d^2 (-24 ka^3 (kd - 2 \[Omega]) +
  6. 24 ka^2 L (-kd^2 + \[Omega]^2) -
  7. 6 ka L^2 (kd - 2 \[Omega]) (kd^2 + \[Omega]^2) +
  8. L^3 (kd^2 + \[Omega]^2)^2) -
  9. 2 d ka^2 L^2 \[Omega] (3 ka \[Omega] +
  10. 2 L (kd^2 - kd \[Omega] + \[Omega]^2))) Cos[
  11. Sqrt[2] L Sqrt[\[Omega]/d]] +
  12. Sqrt[\[Omega]] (-12 d^2 ka (2 ka +
  13. L (kd -
  14. I \[Omega]))^2 Sqrt[\[Omega]] (-I kd + \[Omega]) \
  15. Cosh[(-1)^(1/4) L Sqrt[\[Omega]/d]] +
  16. Sqrt[\[Omega]] (-ka^4 L^3 \[Omega]^2 +
  17. 24 d^3 ka (kd^2 + \[Omega]^2) +
  18. d^2 (24 ka^2 L (kd - \[Omega]) (kd + \[Omega]) +
  19. 24 ka^3 (kd + 2 \[Omega]) +
  20. 6 ka L^2 (kd + 2 \[Omega]) (kd^2 + \[Omega]^2) -
  21. L^3 (kd^2 + \[Omega]^2)^2) +
  22. 2 d ka^2 L^2 \[Omega] (3 ka \[Omega] -
  23. 2 L (kd^2 + kd \[Omega] + \[Omega]^2))) Cosh[
  24. Sqrt[2] L Sqrt[\[Omega]/d]] +
  25. Sqrt[
  26. d] (6 (-1)^(3/4)
  27. d ka^2 \[Omega] (8 d kd +
  28. L \[Omega] (4 I ka - L \[Omega])) Sin[(-1)^(1/4)
  29. L Sqrt[\[Omega]/d]] +
  30. Sqrt[2] (2 ka^3 L^3 (kd - \[Omega]) \[Omega]^2 -
  31. 3 d^2 (4 ka L (kd + \[Omega]) (kd^2 + \[Omega]^2) +
  32. L^2 (kd^2 + \[Omega]^2)^2 +
  33. 4 ka^2 (kd^2 - 2 kd \[Omega] + 3 \[Omega]^2)) +
  34. d ka \[Omega] (12 ka^3 + 12 ka^2 L (kd + \[Omega]) -
  35. 2 L^3 (kd - \[Omega]) (kd^2 + \[Omega]^2) +
  36. 3 ka L^2 (kd^2 - 2 kd \[Omega] +
  37. 3 \[Omega]^2))) Sin[Sqrt[2] L Sqrt[\[Omega]/d]] -
  38. 6 (-1)^(1/4)
  39. d (ka^2 \[Omega] (-I (2 ka + kd L)^2 +
  40. 2 kd L^2 \[Omega]) +
  41. d (4 ka L (kd - I \[Omega])^2 (kd + I \[Omega]) +
  42. 4 ka^2 (kd - \[Omega]) (kd + \[Omega]) +
  43. kd^2 L^2 (kd^2 + 2 \[Omega]^2))) Sin[((-1)^(1/4)
  44. L \[Omega])/Sqrt[d \[Omega]]] +
  45. 6 (-1)^(3/4)
  46. d^2 L^2 \[Omega]^4 Sinh[(-1)^(3/4) L Sqrt[\[Omega]/d]] +
  47. Sqrt[2] (-2 ka^3 L^3 \[Omega]^2 (kd + \[Omega]) +
  48. 3 d^2 (4 ka L (kd - \[Omega]) (kd^2 + \[Omega]^2) +
  49. L^2 (kd^2 + \[Omega]^2)^2 +
  50. 4 ka^2 (kd^2 + 2 kd \[Omega] + 3 \[Omega]^2)) +
  51. d ka \[Omega] (12 ka^3 + 12 ka^2 L (kd - \[Omega]) -
  52. 2 L^3 (kd + \[Omega]) (kd^2 + \[Omega]^2) +
  53. 3 ka L^2 (kd^2 + 2 kd \[Omega] +
  54. 3 \[Omega]^2))) Sinh[
  55. Sqrt[2] L Sqrt[\[Omega]/d]] +
  56. 6 (-1)^(1/4)
  57. d (2 ka +
  58. L (kd - I \[Omega]))^2 (d (kd + I \[Omega])^2 +
  59. I ka^2 \[Omega]) Sinh[((-1)^(1/4) L \[Omega])/Sqrt[
  60. d \[Omega]]]))))/(L^4 (2 ka +
  61. kd L) \[Omega]^3 ((ka^4 \[Omega]^2 +
  62. d^2 (kd^2 + \[Omega]^2)^2 -
  63. 4 d ka^2 \[Omega] (kd^2 - kd \[Omega] + \[Omega]^2)) Cos[
  64. Sqrt[2] L Sqrt[\[Omega]/d]] - (ka^4 \[Omega]^2 +
  65. d^2 (kd^2 + \[Omega]^2)^2 +
  66. 4 d ka^2 \[Omega] (kd^2 + kd \[Omega] + \[Omega]^2)) Cosh[
  67. Sqrt[2] L Sqrt[\[Omega]/d]] -
  68. 2 Sqrt[2]
  69. ka ((d^(3/2) (kd - \[Omega]) \[Omega]^(5/2) -
  70. kd^2 (d \[Omega])^(3/2) + kd^3 Sqrt[d^3 \[Omega]] -
  71. ka^2 kd Sqrt[d \[Omega]^3] + ka^2 Sqrt[d \[Omega]^5]) Sin[
  72. Sqrt[2] L Sqrt[\[Omega]/d]] + (kd^2 (d \[Omega])^(3/2) +
  73. kd^3 Sqrt[d^3 \[Omega]] + ka^2 kd Sqrt[d \[Omega]^3] +
  74. ka^2 Sqrt[d \[Omega]^5] +
  75. d^(3/2) \[Omega]^(5/2) (kd + \[Omega])) Sinh[
  76. Sqrt[2] L Sqrt[\[Omega]/d]])))
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