SOME PROBLEMS CONCERNING FREE NON-LINEAR VIBRATIONS OF BEAM STRUCTURES

The paper analyzes an influence of physical non-linearity material account on vibrations of single beams with various support fixing. The authors also analyze power criteria for existing stable periodic vibrations and dependence of vibration period on initial power is determined in the paper. Accura...

Full description

Bibliographic Details
Main Authors: S. V. Bosakov, N. S. Schetko
Format: Article
Language:Russian
Published: Belarusian National Technical University 2008-10-01
Series:Nauka i Tehnika
Online Access:https://sat.bntu.by/jour/article/view/757
Description
Summary:The paper analyzes an influence of physical non-linearity material account on vibrations of single beams with various support fixing. The authors also analyze power criteria for existing stable periodic vibrations and dependence of vibration period on initial power is determined in the paper. Accurate values of an amplitude and non-linear bending vibration period of beams have been also determined as a conservative system with due account of initial conditions. A number of examples are given that clearly illustrate the obtained solutions and show an influence rate of the mentioned effects on amplitude-frequency characteristics of non-linear systems.
ISSN:2227-1031
2414-0392