内嵌倾斜压电柱复合材料板的压电振动特性分析  

Analyzing characteristics of composite-plate-embedded sloping piezoelectrical pillars

作　　者：成建联[1] 刘含文 王越[1] 陈炜[1] 

机构地区：[1]长安大学公路养护装备国家工程实验室,道路施工技术与装备教育部重点实验室,工程机械学院,西安710064

出　　处：《振动与冲击》2016年第8期187-193,218,共8页Journal of Vibration and Shock

基　　金：国家留学基金委资助项目(201306565032)

摘　　要：针对1-3型内嵌倾斜压电柱复合板结构,建立压电复合板结构的有限元模型,并推导出变形关系和形函数;应用拉格朗日方程,建立了单元结构的运动方程。针对不同倾斜角度压电柱复合板进行有限元仿真分析,研究了复合压电板的正压电特性,并对复合压电板的能量损耗因子进行分析。研究结果表明:在相同压力下,压电柱的倾斜角度对复合板的弯曲模态频率影响较大。随着压电柱体倾斜角度的增大,模态频率降低,弯曲变形增大;同时,倾斜柱体棱长变长,产生电压增大。悬臂板在压力作用下,沿宽度方向产生反对称电势。在压电陶瓷柱的倾角达到57°时,损耗因子达到最大。采用内嵌式倾斜压电柱复合板结构,降低了压电板的脆性,保证大尺寸压电板的结构均匀性和应用。Piezo-composite plate consists of 1-3 type piezoelectrical pillars that are obliquely embedded in a viscoelastic soft polypropylene matrix. The finite element model （FEM） is developed to investigate the positive piezoelectrical properties and the energy-dissipation characteristics of active piezoelectric composites. The strain vectors and shape functions of composite plates are derived from the displacement relations. The motion equations of elements were obtained by using Lagrange＇s equation. The loss factor is expressed by the ratio of the dissipation of the stored energy. The effects of the sloping angle of the piezoelectric pillars on the positive piezoelectric properties are shown. The bending mode frequencies and deflections and the positive potentials are analyzed. The antisymmetrical potential appears along the width of a composite plate under pressure. The loss factor of the composite plate is presented for the effect of the sloping angle of the piezoelectric pillars and the control gains considered. The results indicate that the loss factor reaches its maximum at an angle of 57 for the different control gains, and effectively high loss factors may be attained by proper selection of the design parameters of the composite plate. Using the composite plate-embedded sloping piezoelectric pillar can decrease the brittleness of the piezoelectrical plate and ensure homogeneity as well as the application of a larger piezoeleetrical composite plate.

关 键 词：内嵌倾斜压电柱 压电复合板 压电效应 损耗因子 

分 类 号：TB381[一般工业技术—材料科学与工程] O326[理学—一般力学与力学基础]