An approach to the analysis of hydroelastic vibrations of electromechanical systems, based on the solution of the non-classical eigenvalue problem

Abstract

In this paper we introduce an approach to solution of the problem of natural vibrations of piecewise homogeneous electroelastic bodies connected to external passive electric circuits and interacting with a quiescent fluid. A mathematical formulation of the problem, and a variant of its numerical implementation based on the finite element method are presented. Based on the obtained results we extend the previously developed approach to the selection of optimal parameters of shunt circuits for damping of vibrations of electroelastic structures in the case of their interaction with a fluid.

Keywords:

• Fluid-structure interaction
• vibrations damping
• piezoelectric elements
• non-classical eigenvalue problem
• finite element method

Additional information

Funding

The study was supported by the grant of the Russian Scientific Foundation (project No. 18-71-10054).