智能Timoshenko梁强迫振动响应的行波解  

Dynamic Response Approach of Smart Timoshenko Beam with Wave Propagation

作　　者：黄迪山[1] 刘玉霞[1] 朱晓锦[1] 

机构地区：[1]上海大学机电工程与自动化学院上海,200072

出　　处：《振动．测试与诊断》2013年第3期382-387,523,共6页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(90716027)

摘　　要：运用行波法求解智能Timoshenko梁的强迫振动响应。基于梁的振动行波法分析理论,介绍周期力和周期力矩激励下激励点处波的传播关系,推导在逆压电效应下,智能Timoshenko梁上某一点的响应函数,并以智能Timoshenko悬臂梁为例,得到梁不同位置的拾振点处的幅频和相频特性及不同受力状况下的智能梁的幅频特性,还得到了受迫振动的时域响应信号波形,最后将求解结果与有限元法求解结果做对比分析。分析结果表明,行波法分析可用于精确计算智能梁的强迫振动响应。Wave propagation solution of dynamic characteristics of Smart Timoshenko beam is investigated.Based on wave propagation property in the Timoshenko beam,the wave propagation transmission is introduced at a point loaded with a force or a moment,and the dynamic characteristic of the smart Timoshenko beam is given at a point with the moment caused by inverse piezoelectric effect.Through an example of smart Timoshenko cantilever beam,the magnitude frequency characteristic and phase frequency characteristic at different locations are computed by Matlab code,as well as the magnitude frequency characteristic of the smart beam under different loads.The numeric computation results illustrate that the wave propagation is available in the accurate prediction of dynamic characteristics of the piezoelectric smart beams,and supply a promising approach for dynamic computation.

关 键 词：行波法 智能梁 强迫振动 频域响应特性 时域响应特性 TIMOSHENKO梁 

分 类 号：TH113[机械工程—机械设计及理论] O325[理学—一般力学与力学基础]