Nonlinear Oscillations of a Viscoelastic Anisotropic Reinforced Plate

Abstract

Based on the Kirchhoff-Love theory in a geometrically nonlinear formulation, the problem of vibrations of a viscoelastic reinforced anisotropic plate is considered. The problem is solved using the Bubnov-Galerkin method founded on a polynomial approximation of the deflections in combination with a numerical method based on the using quadrature formulas. An analysis of the use of rheological viscosity parameters for structures with different directions of reinforced fibers is presented. The effect of viscoelastic properties and directions of reinforced fibers on the plate oscillation process is exemplified by real materials.