Abstract

The paper solves the problem of the variation formulation of the steady-linear oscillations of structurally inhomogeneous viscoelastic plate system with point connections. Under the influence of surface forces, range of motion and effort varies harmonically. The problem is reduced to solving a system of algebraic equations with complex parameters. The system of inhomogeneous linear equations is solved by the Gauss method with the release of the main elements in columns and rows of the matrix. For some specific problems, the amplitude-frequency characteristics are obtained.

Highlights

  • In many technical designs there are widely used shell and plate structures

  • As in [1], we present a generalized interpretation of the statement of the problem of forced oscillations for a certain class of thin deformable bodies, as well as mechanical systems consisting of these elements

  • This paper considers the package of plates (consisting of n-plates (n = 1, ∙∙∙, N))

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Summary

Introduction

In many technical designs there are widely used shell and plate structures. 2. The Mathematical Formulation of the Problem of Forced Vibrations Viscoelastic Systems with Point Connections This will eliminate the function of time φ (t ) , which in this case has the form φ (t ) = e−iωt , obtain the variation equation for the displacement vector.

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