基于行波法分析轴向受力智能梁振动特性  

VIBRATION ANALYSIS OF AXIALLY LOADED SMART BEAMS WITH WAVE PROPAGATION

作　　者：郭兰满[1] 黄迪山[1] 唐亮[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：《机械强度》2012年第5期638-643,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金重大研究计划资助项目(90716027)~~

摘　　要：应用行波法分析轴向受力的智能梁的横向振动特性。利用等效弹性模量理论,将表面对称分布压电材料的智能梁等效为非均质变截面梁。基于Timoshenko梁理论,将边界和变截面处理为间断节点模型,用该模型分析振动波在结构中的传播、反射和透射,并且给出行波在轴向受力梁中间断节点处的透射和反射矩阵。通过数值计算,给出受轴向力智能梁的动态特性。研究结果表明,行波法分析可用于精确计算轴向受力的智能梁的横向振动特性。The wave propagation was used to analyze the transverse vibration characteristics of the axially loaded smart beam. By using the theorem of composite materials equivalent modulus, a non-homogeneous beam was modeled for the smart beams with symmetrically distributed piezoelectric patches. On the foundation of Timoshenko beam theorem, boundary conditions and cross-sectional variations were described as discontinuous joint models within consideration of wave motion to propagate, reflect and transmit in structures. Moreover, the transmission matrix and the reflection matrix of these joints were presented. According to numeric computation, the beams＇ dynamic behaviors were determined. The numeric results illustrate that the wave propagation can be utilized in the accurate prediction of transverse vibration behaviors which are associated with the piezoelectric smart beams.

关 键 词：行波法 智能梁轴向力 振动特性 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]