双层纤维压电智能薄板几何非线性建模与分析

摘要

纤维压电MFC(Micro-Fiber Composite)的强致动力和高柔性等特点具有广泛的应用前景,但是材料组成结构复杂给建模带来了难处.基于Reissner-Mindlin假设,采用冯卡门非线性、中等转角及大转角几何非线性等理论,建立了MFC压电智能结构的多种几何非线性有限元模型.同时该模型考虑了压电纤维角度变化对结构形变的影响.分别对两种不同结构的MFC进行了建模与仿真,分别是MFC-d31和MFC-d33,前一种主要利用压电d31效应,而后一种主要利用压电d33效应.随后,通过一压电悬臂梁结构实验数据验证了模型的准确性.最后,利用所建模型对一种双层纤维压电智能薄板结构进行了几何非线性的计算与仿真.%Macro-fiber composite (MFC) has a wide potential application due to its advantages such as large actuation forces and flexibility.But the complex structural arrangement makes it difficulty to build model.The paper develops geometrically nonlinear FE model based on the Reissner-Mindlin hypothesis,using different nonlinear theories like yon Karman nonlinear shell theory and fully geometrically nonlinear shell theory under assumption of moderate and large rotations.Further more the arbitrary piezoelectric fiber orientation is considered,which will influence the deflection response.The models developed for two different kinds of MFC,MFC-d31 and MFC-d33,which are dominated by d31 and d33 effect respectively.First,the model is validated by experiment results of a piezoelectric cantilever beam.Then a macro-fiber composite (MFC) laminated bimorph plate is analyzed and formulated by the geometrically nonlinear FE model.