Computations of stresses and energy dissipation in composite thin laminates with the asymptotic vibration theory

Abstract

The paper develops a computation method for energy dissipation parameters in thin viscoelastic composite plates under steady vibrations. The method is based on applying the asymptotic theory of laminated thin plates, which allows us to calculate accurately enough all six components of the stress tensor under cyclic loading and also complete expressions for the energy dissipation function and the accumulated energy with account of transverse and interlayer shear stresses. With the help of the developed method, we simulate stresses and energy dissipation parameters in a viscoelastic plate of fiber laminated carbon–plastic composite under flexural vibrations. Computations showed that transverse stresses and especially interlayer shear stresses contribute considerably to the integral energy dissipation coefficient of composite plates. This contribution is the most significant for rigid structures with a relatively small energy dissipation coefficient.