基于均一化模型的MFC悬臂梁静态变形分析

Static Deformation Analysis of MFC Cantilever Beam Based on Homogenization Model

采用基于平面应力假设和二维周期性位移场假设的均一化模型分析了P1型粗压电纤维复合材料(MFC)致动器的宏观性质,研究了该模型对于MFC悬臂梁静态变形分析的适用性。ANSYS仿真结果表明,该模型适用于分析MFC悬臂梁静态变形,采用该均一化模型与不采用均一化模型相比,悬臂梁挠度的相对误差不超过5.77%,且该均一化模型中压电应力矩阵的e32分量对梁挠度的影响(e32效应)为次要因素。在采用该均一化模型的基础上进一步忽略其e32效应与原均一化模型相比,粱挠度的相对误差不超过1.36%。

The macroscopic properties of the P1-type MFC (Macro Fiber Composite) actuator are analyzed by using the homogenization model based on the plane stress hypothesis and the two-dimensional periodical displacement field assumption. The applicability of the model to the static deformation analysis of the MFC cantilever beam is studied. The ANSYS simulation results show that the model is suitable for analyzing the static deformation of MFC cantilever beam. Compared with the non-homogenization model, the relative error of the cantilever beam deflection is less than 5.77%, and the influence of the e32 component of the piezoelectric stress matrix on the deflection of the beam ( e32 effect) is the secondary factor in the homogenization model. On the basis of adopting the homogenization model, when the e32 effect is further ignored, the relative error of the deflection of the beam does not exceed 1.36% compared with the original homogenization model.