压电曲壳结构的形状控制和优化设计  

Shape Control and Optimal Design of Piezoelectric Shell Structures

作　　者：闫浩[1] 姚林泉[1] 孙晓洁[1] 

机构地区：[1]苏州大学城市轨道交通学院,江苏苏州215000

出　　处：《应用数学和力学》2014年第8期863-872,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11172192)~~

摘　　要：研究了使用最少和最合理的压电片布置,以及最合理的多点输入电压,对曲壳类结构实施最佳的形状控制.首先,采用HS-ANS法,构造能够克服剪切自锁、梯形自锁和厚度自锁的压电曲壳结构实壳单元.然后,利用遗传算法的组合优化,对作动器的数目和位置进行设计,进一步利用遗传算法的数值优化,对各作动器的作用电压值进行优化,并给出一般计算过程.最后的算例表明,给出的实壳单元和优化设计方法,可以非常有效地实现对曲壳类结构的形状控制.The problem of shape control of curved shell structures with the least piezoelectric actuators in the most reasonable layout at optimal multi-point voltages was addressed. First,a solid shell element for shell structures was constructed with the HS-ANS method,to overcome shear locking,trapezoidal locking and thickness locking. Second,the layout of actuators was designed through the GA combinatorial optimization and the input actuator voltage was decided with the GA numerical optimization. The general computation processes were also built respectively. The following examples showthe effectiveness of the proposed solid shell element and optimization method to control deformation of the curved shell structures.

关 键 词：压电壳 形状控制 遗传算法 实壳单元 有限元 

分 类 号：TB381[一般工业技术—材料科学与工程] O343[理学—固体力学]