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- finalnew = (6 d kd u^2 (-12 d^2 ka (2 ka +
- L (kd + I \[Omega]))^2 \[Omega] (I kd + \[Omega]) Cos[(-1)^(
- 1/4) L Sqrt[\[Omega]/d]] + \[Omega] (ka^4 L^3 \[Omega]^2 -
- 24 d^3 ka (kd^2 + \[Omega]^2) +
- d^2 (-24 ka^3 (kd - 2 \[Omega]) +
- 24 ka^2 L (-kd^2 + \[Omega]^2) -
- 6 ka L^2 (kd - 2 \[Omega]) (kd^2 + \[Omega]^2) +
- L^3 (kd^2 + \[Omega]^2)^2) -
- 2 d ka^2 L^2 \[Omega] (3 ka \[Omega] +
- 2 L (kd^2 - kd \[Omega] + \[Omega]^2))) Cos[
- Sqrt[2] L Sqrt[\[Omega]/d]] +
- Sqrt[\[Omega]] (-12 d^2 ka (2 ka +
- L (kd -
- I \[Omega]))^2 Sqrt[\[Omega]] (-I kd + \[Omega]) \
- Cosh[(-1)^(1/4) L Sqrt[\[Omega]/d]] +
- Sqrt[\[Omega]] (-ka^4 L^3 \[Omega]^2 +
- 24 d^3 ka (kd^2 + \[Omega]^2) +
- d^2 (24 ka^2 L (kd - \[Omega]) (kd + \[Omega]) +
- 24 ka^3 (kd + 2 \[Omega]) +
- 6 ka L^2 (kd + 2 \[Omega]) (kd^2 + \[Omega]^2) -
- L^3 (kd^2 + \[Omega]^2)^2) +
- 2 d ka^2 L^2 \[Omega] (3 ka \[Omega] -
- 2 L (kd^2 + kd \[Omega] + \[Omega]^2))) Cosh[
- Sqrt[2] L Sqrt[\[Omega]/d]] +
- Sqrt[
- d] (6 (-1)^(3/4)
- d ka^2 \[Omega] (8 d kd +
- L \[Omega] (4 I ka - L \[Omega])) Sin[(-1)^(1/4)
- L Sqrt[\[Omega]/d]] +
- Sqrt[2] (2 ka^3 L^3 (kd - \[Omega]) \[Omega]^2 -
- 3 d^2 (4 ka L (kd + \[Omega]) (kd^2 + \[Omega]^2) +
- L^2 (kd^2 + \[Omega]^2)^2 +
- 4 ka^2 (kd^2 - 2 kd \[Omega] + 3 \[Omega]^2)) +
- d ka \[Omega] (12 ka^3 + 12 ka^2 L (kd + \[Omega]) -
- 2 L^3 (kd - \[Omega]) (kd^2 + \[Omega]^2) +
- 3 ka L^2 (kd^2 - 2 kd \[Omega] +
- 3 \[Omega]^2))) Sin[Sqrt[2] L Sqrt[\[Omega]/d]] -
- 6 (-1)^(1/4)
- d (ka^2 \[Omega] (-I (2 ka + kd L)^2 +
- 2 kd L^2 \[Omega]) +
- d (4 ka L (kd - I \[Omega])^2 (kd + I \[Omega]) +
- 4 ka^2 (kd - \[Omega]) (kd + \[Omega]) +
- kd^2 L^2 (kd^2 + 2 \[Omega]^2))) Sin[((-1)^(1/4)
- L \[Omega])/Sqrt[d \[Omega]]] +
- 6 (-1)^(3/4)
- d^2 L^2 \[Omega]^4 Sinh[(-1)^(3/4) L Sqrt[\[Omega]/d]] +
- Sqrt[2] (-2 ka^3 L^3 \[Omega]^2 (kd + \[Omega]) +
- 3 d^2 (4 ka L (kd - \[Omega]) (kd^2 + \[Omega]^2) +
- L^2 (kd^2 + \[Omega]^2)^2 +
- 4 ka^2 (kd^2 + 2 kd \[Omega] + 3 \[Omega]^2)) +
- d ka \[Omega] (12 ka^3 + 12 ka^2 L (kd - \[Omega]) -
- 2 L^3 (kd + \[Omega]) (kd^2 + \[Omega]^2) +
- 3 ka L^2 (kd^2 + 2 kd \[Omega] +
- 3 \[Omega]^2))) Sinh[
- Sqrt[2] L Sqrt[\[Omega]/d]] +
- 6 (-1)^(1/4)
- d (2 ka +
- L (kd - I \[Omega]))^2 (d (kd + I \[Omega])^2 +
- I ka^2 \[Omega]) Sinh[((-1)^(1/4) L \[Omega])/Sqrt[
- d \[Omega]]]))))/(L^4 (2 ka +
- kd L) \[Omega]^3 ((ka^4 \[Omega]^2 +
- d^2 (kd^2 + \[Omega]^2)^2 -
- 4 d ka^2 \[Omega] (kd^2 - kd \[Omega] + \[Omega]^2)) Cos[
- Sqrt[2] L Sqrt[\[Omega]/d]] - (ka^4 \[Omega]^2 +
- d^2 (kd^2 + \[Omega]^2)^2 +
- 4 d ka^2 \[Omega] (kd^2 + kd \[Omega] + \[Omega]^2)) Cosh[
- Sqrt[2] L Sqrt[\[Omega]/d]] -
- 2 Sqrt[2]
- ka ((d^(3/2) (kd - \[Omega]) \[Omega]^(5/2) -
- kd^2 (d \[Omega])^(3/2) + kd^3 Sqrt[d^3 \[Omega]] -
- ka^2 kd Sqrt[d \[Omega]^3] + ka^2 Sqrt[d \[Omega]^5]) Sin[
- Sqrt[2] L Sqrt[\[Omega]/d]] + (kd^2 (d \[Omega])^(3/2) +
- kd^3 Sqrt[d^3 \[Omega]] + ka^2 kd Sqrt[d \[Omega]^3] +
- ka^2 Sqrt[d \[Omega]^5] +
- d^(3/2) \[Omega]^(5/2) (kd + \[Omega])) Sinh[
- Sqrt[2] L Sqrt[\[Omega]/d]])))
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