作　　者： ; ; ;

机构地区： 华中科技大学土木工程与力学学院

出　　处： 《振动与冲击》 2014年第11期100-106,共7页

摘　　要： 基于Timoshenko梁理论,考虑基梁和压电片的转动惯量和剪切效应,采用有限元法和传递矩阵法建立了振动波在表面周期性粘贴压电片的轴-弯耦合Timoshenko梁中的传播模型,并利用Lyapunov指数及局部化因子分析了几何尺寸和材料特性随机失谐对结构波动局部化的影响。数值分析表明,对于周期压电梁而言,不同基梁材料对结构的频带特性会有较明显影响;而基梁长度及压电材料参数的随机失谐对频带性质和波动局部化程度的影响则十分有限,通过调整结构模型参数仅能微调此梁的波动特性。分析结果对压电周期结构的优化设计和振动控制研究提供了理论参考。 A model of wave propagation in an axial-bending coupled beam with piezoelectric patches periodically adhered to it was developed by using the finite element and transfer matrix methods.Both the base beam and piezoelectric layer were treated as Timoshenko beams.The effects of randomly disordered geometric sizes and material parameters on the wave localization characteristics of the periodic structure were analyzed with varying of localization factors.Numerical study indicated that for the periodic piezoelectric beam,different materials of the base beam have obvious effect on the frequency band feature of the beam,but the frequency band feature of the beam and the wave propagation localization behavior have little sensitivity to the random disorder of the length of the base beam and the piezoelectric parameters,so the characteristics of the frequency band of the beam and wave propagation in the structure can be slightly adjusted by tuning structural parameters.The investigation provided a theoretical reference for optimal design and vibration control in periodic piezoelectric structures.

关 键 词： 失谐周期压电结构 梁 传递矩阵 指数 局部化因子

领　　域： [理学] [理学]