The nonlinear vibrations of the satellite with an elastic beam loaded by solar heating

Applied Mathematics, Mechanics and Physics


Аuthors

Vorobiev I. N., Grishanina T. V.1*, Shklyarchuk F. N.2**

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Institute of Applied Mechanics of Russian Academy of Science, IAM RAS, 32a, Leninskii av., Moscow, В-334, GSP-1, 119991, Russia

*e-mail: t.grishanina@mai.ru
**e-mail: shklyarchuk@list.ru

Abstract

In this article is solved the plane problem of the nonlinear vibration of the satellite with an elastic beam loaded by solar heating. The finite element method (FEM) has been used to solve the nonlinear problem. Different cases of the nonlinear vibrations of the gravitational stabilizing rod loaded by non steady solar heating have been considered.

Keywords:

thermoelasticity, the finite strain, the nonlinear dynamic, stability, the finite element method.

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