基于zig-zag假设的压电阻尼层合结构机电耦合建模与分析  

Electromechanical coupling modeling and analysis of piezoelectric damping laminated structures based on zig-zag hypothesis

作　　者：王雄[1] 高英山 张顺琦[2,3] 窦伟元 WANG Xiong;GAO Yingshan;ZHANG Shunqi;DOU Weiyuan(School of Energy Engineering, Yulin University, Yulin 719000, China;School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China;School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China)

机构地区：[1]榆林学院能源工程学院,陕西榆林719000 [2]上海大学机电工程与自动化学院,上海200072 [3]北京交通大学机械与电子控制工程学院,北京100044

出　　处：《西北工业大学学报》2022年第2期407-413,共7页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金面上项目(11972020);北京交通大学“轨道车辆运用工程”国家国际科技合作基地开放课题(BMRV20KF02)资助。

摘　　要：基于zig-zag板壳假设和哈密顿原理建立了压电阻尼层合结构的机电耦合动力学有限元模型,实现了结构自然频率和损耗系数的准确计算。有限元模型采用八节点的七自由度(degrees of freedom,DOFs)四边形单元,且考虑阻尼层的复弹性模量。通过对文献算例的计算与仿真,验证建立的有限元模型的正确性。研究了材料增强角度、阻尼层厚度和结构曲率对压电阻尼层合结构频率和损耗系数的影响,为压电阻尼层合结构的减振及结构优化提供参考。Based on the zig-zag theory and Hamiltonian principle,the electromechanical coupling dynamic finite element(FE)model of piezoelectric damping laminated structure is established,the natural frequency and loss factor of the structure is accurately calculated.The eight nodes quadratic element is adopt for FE modeling,each node with seven DOFs,which considers the complex elastic modulus of damping layer.The correctness of model is verified by the calculation and simulation of an example in the literature.The effects of reinforcement orientation angle,thickness of damping layer and structure curvature on the frequency and loss factor of piezoelectric damping laminated structure are investigated.This study can provide references for vibration control and optimization design of piezoelectric damping laminated structures.

关 键 词：压电阻尼层合结构 zig-zag假设 阻尼分析 动力学建模 

分 类 号：O342[理学—固体力学]