Passive damping of vibrations of plates and cylindrical shells interacting with a flowing fluid using piezoelectric elements

Abstract

The paper presents a mathematical formulation of the problem of natural and forced harmonic vibrations of electro-elastic thin-walled structures interacting with a flowing fluid. The numerical algorithm based on the finite element method is used to choose optimal parameters of a shunt electric circuit for problems of passive vibration damping. The key idea behind the proposed approach is a solution of eigenvalue problem. It allows us to obtain higher damping rate of free vibrations compared to those evaluated by the commonly used analytical expressions and leads to the smallest difference in the natural frequencies of the structure and the electric circuit.

Keywords:

• vibrations damping
• piezoelectric element
• electric circuit
• cylindrical shell
• plate
• flowing fluid
• finite element method

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research was carried out in the course of work on the project of the Russian Science Foundation No. 18-71-10054 (passive damping of vibrations of plates and shells interacting with fluid), and in the framework of the government order, state registration number of theme AAAA-A19-119012290100-8 (natural vibrations and stability of plates and shells without piezoelectric elements interacting with flowing fluid).