Forced transverse vibration analysis of a circular viscoelastic polymeric piezoelectric microplate with fluid interaction

Abstract

In this paper, vibration analysis of a circular polymeric piezoelectric is presented. The microplate is modelled using Kirchhoff theory. The viscoelastic property of the polymer is introduced using Kelvin–Voigt laws. The interaction with fluid is modelled as a damping foundation beneath the plate. Moreover, anisotropic piezoelectric properties of the polymer are considered. The boundary conditions are clamped at the outer edges. Taking into account all above matters, the governing equation is derived. Free and force vibration of the problem is solved using assumed mode method and Newmark’s β method. The effect of variations in input voltage, damping coefficient, viscoelastic parameter and excitation frequency is investigated. The results are compared with developed finite element methods. Excellent agreement is observed between two methods.

Keywords:

• Polymer Piezoelectric
• viscoelastic microplate
• fluid interaction
• Kelvin–Voigt laws
• Newmark’s β method