A Wave Based approach for the dynamic bending analysis of Kirchhoff plates under distributed deterministic and random excitation

摘要

For the harmonic analysis of plate bending problems, the Finite Element Method (FEM) is a commonly applied numerical technique. Its element concept with polynomial approximation functions, however, limits its applicable frequency range because of a strongly increasing computational cost. The Wave Based Method (WBM) has can relax this by using wave functions, which satisfy thegoverning differential equations.This paper derives two distinct particular solution sets for distributed loads in the WBM. Two numerical validations show the improved efficiency as compared to the FEM. The novel approach is also applied to a plate under a TBL excitation.