Work

Force Driven Vibrations of Nonlinear Plates on a Viscoelastic Winkler Foundation Under the Harmonic Moving Load

Year: 2021

Type: article

Abstract: In the present paper, the forced driven nonlinear vibrations of an elastic plate in a viscoelastic medium and resting on a viscoelastic Winkler-type foundation are studied. The damping features of the surrounding medium and foundation are described by the Kelvin-Voigt model and standard linear solid model with fractional derivatives, respectively. The dynamic response of the plate is described by the set of nonlinear differential equations with due account for the fact that the plate is being under the conditions of the internal resonance accompanied by the external resonance. The expressions for the stress function and nonlinear coefficients for different types of boundary conditions are presented.

Source: International Journal for Computational Civil and Structural Engineering

DOI: 10.22337/2587-9618-2021-17-4-161-180

Authors: Marina Shitikova, Anastasiya Krusser

Institution: Voronezh State Technical University

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Mechanical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Russian Foundation for Basic Research

Awards: G1524342187, G2460723461