Hierarchically decomposed finite element method for a triply coupled piezoelectric, structure, and fluid fields of a thin piezoelectric bimorph in fluid

摘要

This paper proposes a numerical method for analyzing a thin piezoelectric bimorph in fluid. A hierarchically decomposed finite element method (FEM) is proposed for modeling the triply coupled piezoelectric-structure-fluid interaction. The electromechanical coupling (piezoelectric-structure interaction) behavior in a thin piezoelectric bimorph is described by the classical constitutive equation, the incompressible fluid flows by the Navier-Stokes equation and the structure by the Cauchy equation of motion. The piezoelectric-structure-fluid interaction system is decomposed into subsystems of fluid-structure interaction (FSI) and piezoelectric field, then the piezoelectric field and the FSI are coupled using the block Gauss-Seidel method, the fluid-structure interaction is split into the fluid-structure velocity field and the pressure field using an algebraic splitting and the fluid-structure velocity field is partitioned into fluid velocity field and structure velocity field. Using the proposed method, the resonance characteristics of a piezoelectric bimorph cantilever made of PVDF and PZT-5H material in fluid are investigated for actuation and sensor configurations. (C) 2020 Elsevier B.V. All rights reserved.