黏弹性Pasternak地基梁振动的复模态分析

PDF(1511 KB)

振动与冲击 ›› 2013, Vol. 32 ›› Issue (2) : 143-146.

论文

黏弹性Pasternak地基梁振动的复模态分析

彭丽1,2，丁虎1*，陈立群1,3

作者信息 +

Complex Modal Analysis of Vibrations of beams on viscoelastic Pasternak foundations

PENG Li1,2, DING Hu1,CHEN Li-qun1,3

Author information +

文章历史 +

摘要

运用复模态分析研究了有限长黏弹性Pasternak地基梁的振动特性，将梁的振动方程写成状态方程，利用复模态的正交性解耦为常微分方程组，得出复频率和复模态及任意初始条件下外激励的响应。通过两个具体算例对比，分析了简支边界条件下的Pasternak地基梁的固有频率和模态函数的特征，并通过文中给出的复模态函数，计算了两种典型外激励作用下的动力响应。

Abstract

The complex modal analysis is applied to investigate vibrations of finite beams on viscoelastic Pasternak foundations. The vibration equation of the beam is expressed in the state equation and decoupled into a set of ordinary differential equations, based on the orthogonality of the modal functions. The complex frequencies, modal functions, and dynamical responses to external excitations with any initial conditions are derived. Comparing two specific examples, with pinned supports at both ends, the characteristics of the natural frequencies and modal functions are analyzed, and through the specific modal functions, the dynamical responses to two typical external excitations are given.

导出引用

彭丽;丁虎*;陈立群;. 黏弹性Pasternak地基梁振动的复模态分析 [J]. 振动与冲击, 2013, 32(2): 143-146

PENG Li;DING Hu;CHEN Li-qun;. Complex Modal Analysis of Vibrations of beams on viscoelastic Pasternak foundations[J]. Journal of Vibration and Shock, 2013, 32(2): 143-146