黏弹性Winkler地基梁的振动特性分析

摘要

The complex modal analysis is applied to investigate vibrations of finite beams on viscoelastic Winkler foundations. The complex frequency equations and modal functions are obtained under simply supported boundary conditions. The characteristics of natural frequencies and mode functions of the viscoelastic Winkler foundation beams, as well as the impact of the beam stiffness coefficient and the foundation viscosity on natural frequencies and mode functions are analyzed through specific numerical examples.%运用复模态分析研究了有限长黏弹性Winkler地基梁的振动特性,得出简支边界条件下的复频率方程和复模态函数表达式.通过具体算例,分析了黏弹性Winkler地基梁的固有频率和模态函数的特征,以及梁的刚度系数和地基黏性系数对固有频率和模态函数的影响.