Nonlinear Modeling and Kineto-Elasto-Dynamic Analysis of a Piezo-Actuator

[[abstract]]This paper presents a nonlinear modeling and its kineto-elasto-dynamic analysis of a piezo-actuator, which is a simplified model of a so-called pseudo-wheel designed for an attitude stabilization of a miniature spacecraft. The proposed model includes the coupled effect between the flexible deformation and the rigid body motion of the piezo-actuator, and it can be applied for both the finite element method and the assumed mode method. Besides, the model includes the longitudinal effect which is caused by a tensile load due to a rigid body rotation. This effect is significant to predict the vibrations of the piezo-actuator. This model is not only for the piezo-actuator but also for a slewing beam with a prescribed large rigid body rotation. To validate the proposed model, it is simplified as a static model to compare with some from literatures, and the results show that the proposed model is more accurate. Besides, it is concluded that the finite element method employing quintic shape functions can provide a more accurate simulation of the bimorph deformation