基于样条无网格法的厚/薄压电功能梯度板动力分析

摘要

在将板的挠度和剪切应变作为场变量的基础上增加考虑面内位移,采用样条无网格法建立了热环境下厚/薄压电功能梯度板动力分析新的计算格式.考虑功能梯度材料的物性参数随温度改变以及温度变化引起的面内力,讨论了压电FGM板在不同边界约束下材料梯度指数变化时,面内位移及面内力对热环境下压电功能梯度板的动力特性和动力响应的影响.分析结果表明,新建立的模型对厚/薄压电功能梯度板动力分析具有通用性和有效性,没有剪切闭锁现象,且计算效率和计算精度较高.%The in-place displacement of a plate was taken as field variable besides the plate's deflection and shear strain.By using the spline meshless method,a new dynamic analysis model for thick/thin piezoelectric functionally graded material(FGM) plates under thermal environment was established.Considering FGM physical parameters variation with temperature and in-plane force caused by different temperatures,the effects of in-plate displacement and in-plane force on the dynamic property and dynamic response of the FGM plate were investigated under different boundaries and gradients.Analysis results showed that the new model has the universality and effectiveness for dynamic analysis of thick/thin piezoelectric FGM plates,and has advantages of high efficiency,high precision and no shear locking problems.