均布载荷作用下的两端简支压电梁的解析解  

A Close-Form Solution to Simply Supported Piezoelectric Beams Under Uniform Exterior Pressure

作　　者：林启荣 刘正兴 金占礼 

机构地区：[1]上海交海大学工程力学系,上海200030

出　　处：《应用数学和力学》2000年第6期617-624,共8页Applied Mathematics and Mechanics

摘　　要：按平面应力问题推导出两端简支压电梁在均布载荷作用下的位移、电势、应力分布的解析表达式 ,并与压电有限元的计算结果进行了比较 ,为探索压电层的分布感测机理以及验证有限元等数值方法提供了参考依据·On the basis of two_dimensional constitutive relationships of piezoelectric materials, the analytic solution for simply supported piezoelectric beams under uniform exterior pressure was derived. Furthermore the results were also compared with the ones of FEM for piezoelectric materials. Thus the foundation for further research of piezoelectric materials' distribution sensing mechanism and the validation of numerical methods such as FEM is provided.

关 键 词：压电梁 位移 平面应力 均布载荷 解析解 

分 类 号：O343.1[理学—固体力学] O342[理学—力学]