摘要

  The fundamental solution is one of the basic theories of many numerical analysis methods, such as the boundary element method, the Green's function method, the fundamental solution method, et al.The fundamental solution to most problems has been derived, but the fundamental solutions for forced vibration problem of beam structure in time domain has not been reported.When solving the forced vibration problems,The dynamic problem is converted into a static problem using some techniques in existing methods,and the static problem fundamental solutions will be adopted.These converted techniques will increases the computational complexity and calculation workload.In this paper, the modal decomposition, and the DuHamel's integral be adopted in derived the fundamental solutions for forced vibration of beam structure in time domain.This work can provide a new idea for the numerical method such as boundary element method in forced vibration analysis of the beam structures.

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