Modeling of the resonant vibrations of an elongated plate with an integrated damping coating taking into account the amplitude-dependent internal friction in the material of the damping layers

Abstract

© 2020 Author(s). The paper discusses the classical methods of surface damping of bending vibrations of thin-walled structures as well as the perspective integrated version of a damping coating which consists of two layers of material with pronounced viscoelastic properties with a thin reinforcing layer of high modulus material between them. A four-layer finite element of an elongated plate with an integrated damping coating with additional accounting of the transverse compression of the damping layers has been developed. A system of defining equations of the finite element method is constructed to analyze the dynamic reaction under resonance vibrations of a plate with an integrated damping coating. An iterative algorithm has been developed to take into account the amplitude dependence of the logarithmic decrements of vibrations of the damping layers material when determining the damping properties of the plate. The developed finite element and the above-mentioned algorithm have been tested.