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Mode synthesis, BEAM53D2

Mesh: Four beam elements--see appendix B.3.
Material properties: $E=2\times 10^5$ MPa, $\nu=0.3$, $\rho=7800$ kg/m3.
Damping: Modal damping parameters $\xi_k=0.1$ for $k=1,2,\ldots$.
Support: All the degrees of freedom fixed at x=0.



$u=v=w=\varphi_x=\varphi_y=\varphi_z=0$ node: 1
Loading: Kinematic excitation $W(t)=W_0\sin\omega t$.



$W_0=1\,\mbox{mm},~~~\omega= 25.7~\mbox{rad/sec}$.
Solution: In the mode synthesis method we directly combine the eigenvectors neglecting the phase shift due to damping.
Execute from prompt:
>rmd3 beam53d2.I1
>rpd3 beam53d2.I2
>srh3 beam53d2.I3
>hmot beam53d2.IM
>fefs beam53d2.I4
>heig beam53d2.IE
>hmod beam53d2.ID