任意不等跨等截面连续梁自由振动分析  

Free vibration analysis of constant cross section continuous beams with arbitrary unequal spans

作　　者：陈得良 李耕 CHEN Deliang;LI Geng(School of Civil Engineering,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学土木工程学院,湖南长沙410114

出　　处：《交通科学与工程》2024年第2期55-61,共7页Journal of Transport Science and Engineering

基　　金：湖南省教育厅科学研究项目(20B028)。

摘　　要：以等截面任意不等跨连续梁为对象,基于Euler-Bernoulli梁理论,利用分段梁模型和分离变量法,在考虑连续梁边界以及梁段位移连续性条件的基础上,提出了任意多跨不等跨连续梁固有频率和振动模态分析新方法。利用该方法可高效得到任意不等跨连续梁的固有频率和振动模态,该方法将为多跨连续梁车-桥耦合等受迫振动响应研究提供新的思路和便利。Based on Euler-Bernoulli beam theory,segmented beam model,and separation variable method,a new method for analyzing the natural frequencies and vibration modes of any multi span and unequal span continuous beam is proposed on the basis of considering the boundary and displacement continuity conditions of the continuous beam,which can be used to efficiently obtain the natural frequencies and vibration modes of arbitrary unequal span continuous beams.This method will provide new ideas and convenience for the study of forced vibration response such as multi-span continuous beam vehicle-bridge coupling.

关 键 词：多跨连续梁 等截面 EULER-BERNOULLI梁 自由振动 迭代法 

分 类 号：U441[建筑科学—桥梁与隧道工程]