Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems

I I Safarov,B Z Nuriddinov,М Kh Теshayev,Z I Boltayev

doi:10.4236/am.2017.87078

Abstract

In the work, the problems of proper and forced oscillations of dissipative mechanical systems, consisting of rigid and deformable bodies are solved. To quantify the dissipative properties of the system, two values are proposed: the minimum resonance frequency of natural oscillations and the maximum resonant amplitude. In the study of the problem of dissipative inhomogeneous mechanical systems, a nonmonotonic dependence of the damping coefficients on the parameters of the system was observed. The concepts are derived Global damping factor, which characterizes the Damping properties of the dissipative mechanical system as a whole.

Highlights

The use of damping vibrations of dynamic viscoelastic mechanical systems with different rheological properties, for all the studies of the problem [1] [2], is rarely considered in the scientific literature
Modern machine building is characterized by a wide use of polymeric and metallic materials with various viscoelastic properties [3] [4] [5] [6]
Dependence of natural frequencies ωRk from c2 the same as in the case of a homogeneous system, the corresponding curves coincide with an accuracy of up to 5%

Summary

Introduction

The use of damping vibrations of dynamic viscoelastic mechanical systems with different rheological properties, for all the studies of the problem [1] [2], is rarely considered in the scientific literature. Modern machine building is characterized by a wide use of polymeric and metallic materials with various viscoelastic properties [3] [4] [5] [6]. A mechanical system, consisting of rigid and deformable bodies, connected to each other and to a base by deformable (elastic or viscoelastic) elements, is studied

Statement of the Problem and Methods of Solution

Findings

Forced Oscillations of Dissipative Mechanical Systems