基于渐近均匀化的力-电-湿耦合光滑有限元法  

Moisture-electro-mechanical coupling smoothed finite element method based on asymptotic homogenization

作　　者：郑建校[1,2] 王文博 刘金颂 周立明[3] 李宇 ZHENG Jian-xiao;WANG Wen-bo;LIU Jin-song;ZHOU Li-ming;LI Yu(School of Mechanical and Electrical Engineering,Xi'an University of Architecture and Technology,Xi'an 710055,China;Shaanxi Provincial Key Laboratory of Nanomaterials and Technology,Xi'an 710055,China;School of Mechanical and Aerospace Engineering,Jilin University,Changchun 130022,China;Shanghai Baoye Group Corp.,Ltd.,Shanghai 201999,China)

机构地区：[1]西安建筑科技大学机电工程学院,西安710055 [2]陕西省纳米材料与技术重点实验室,西安710055 [3]吉林大学机械与航空航天工程学院,长春130022 [4]上海宝冶集团有限公司,上海201999

出　　处：《吉林大学学报（工学版）》2024年第7期1876-1886,共11页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(52002309);陕西省自然科学基础研究计划项目(2023-JC-YB-313,2023-JCYB-294).

摘　　要：针对基于微观结构的力-电-湿多物理场耦合压电复合材料的力学特性分析问题,基于压电复合材料的基本方程、力-电-湿多物理场耦合效应,结合渐近均匀化方法预测的压电复合材料有效性能参数,提出基于渐近均匀化的力-电-湿耦合光滑有限元法。推导了力-电-湿耦合光滑有限元的动力学控制方程,并运用Wilson-θ法求解压电复合材料结构动力学问题,研究了湿度变化对结构固有频率和动力学响应的影响,并与有限元法的计算结果进行比较,验证了该方法的正确性和有效性。可见,该方法对分析压电复合材料元器件的多物理场耦合力学特性具有广阔的应用前景。Aiming at the mechanical property analysis problem of piezoelectric composite materials with microstructure-based moisture-electro-mechanical multi-physical-field coupling,the moisture-electromechanical coupling smoothed finite element method based on asymptotic homogenization was proposed.The theoretical basis of this method includes the basic equation of piezoelectric composite materials,the effective performance parameters predicted by asymptotic homogenization,and the moisture-electromechanical coupling effect of piezoelectric composite materials.The dynamic control equation of this method was deduced,and the structural dynamic problems of piezoelectric composite materials were solved by applying the Wilson-θmethod.The effects of moisture variation on the structure natural frequency and dynamic response were studied.The results were compared with those of the finite element method to verify the correctness and validity of the method.Therefore,this method has a broad application prospect for analyzing the multi-field coupling mechanical properties of piezoelectric composite components.

关 键 词：固体力学 有限元法 力-电-湿耦合 渐近理论 

分 类 号：TB115[理学—数学]