A comparative analysis of two approaches to damping of vibrations

Abstract

In the current paper a comparison between two approaches to damping of vibrations is presented. A comparative analysis was carried-out on the example of a cantilever plate. In the first case, the surface of the plate was covered with a layer of viscoelastic material. Its mechanical behavior is described by equations of the linear theory of viscoelasticity based on complex dynamic moduli. In this case, the complex dynamic moduli can increase or decrease as the oscillation frequency increases, or remain constant. It is assumed that the thickness of the viscoelastic layer is equal to the thickness of the plate.In the second case piezoelectric elements shunted with resistive (R) or resonant (RL) electric circuits were applied for damping of vibrations. In this case, for each vibration mode, the optimal location of the piezoelectric element and the parameters of the external electrical circuit are determined. The comparison is carried out on the basis of analysis of the vibration damping coefficients determined by the value of the complex natural vibration frequencies obtained from the solution to the problem of natural vibrations for electro-viscoelastic bodies with external electric circuits. Numerical implementation was performed using finite element method.