In the present study, finite element dynamic analysis or time history analysis of two-span beams\nsubjected to asynchronous multi-support motions is carried out by using the moving support finite\nelement. The elemental equation of the element is based on total displacements and is derived\nunder the concept of the quasi-static displacement decomposition. The use of moving support\nelement shows that the element is very simple and convenient to represent continuous beam\nmoving, deforming and vibrating simultaneously due to support motions. The comparison between\nthe numerical results and analytical solutions indicates that the FE result agrees with the\nanalytical solution.
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