运动简谐振子作用下地基梁体系振动特性的半解析研究  

THE DYNAMIC RESPONSE OF A SIMPLY SUPPORTED VISCOUSLY DAMPED BEAM SYSTEM UNDER A MOVING HARMONIC OSCILLATOR

作　　者：程永锋 朱照清 卢智成 张富有[2] CHENG Yong-feng;ZHU Zhao-qing;LU Zhi-cheng;ZHANG Fu-you(China Electric Power Research Institute,Beijing 102401,China;College of Civil Engineering and Transportation Engineering,Hohai University,Nanjing 210098,China)

机构地区：[1]中国电力科学研究院有限公司,北京102401 [2]河海大学土木与交通学院,南京210098

出　　处：《工程力学》2018年第7期18-23,共6页Engineering Mechanics

基　　金：国家自然科学基金青年基金项目(51308191)

摘　　要：该文研究了地基梁体系在运动简谐振子作用下的振动特性。其中,地基梁体系由均质各向同性的欧拉梁以及弹簧和阻尼器组成的粘弹性地基模型组成。而移动的简谐振子则通过单自由度体系来描述。推导地基梁体系-简谐振子的耦合振动控制方程,并通过引入中间变量建立该耦合振动控制方法状态空间方程,给出该状态空间的方程的逐步求解方法。最后,通过简单算例,研究地基的基本特性、简谐振子的基本特性对梁的振动的影响。The dynamic response of a foundation-beam system under a moving harmonic oscillator is investigated.The foundation-beam system is made of an elastic homogeneous isotropic Euler-Bernoulli beam,which is supported continuously by a foundation of elastic springs with viscous damping.The moving harmonic oscillator is simplified by a single degree of freedom(SDOF)system.The equation governing the vibration of Euler-Bernoulli beam is proposed.By introducing some state variables,a new state-space equation is established,which is then solved by a single-step scheme.Numerical examples are employed to investigate the effects of the mechanical properties of the oscillator and foundation on the response of the beam.

关 键 词：地基梁 移动荷载 状态空间方程 动力响应 粘弹性地基模型 

分 类 号：TU4701[建筑科学—结构工程]