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Steel and Composite Structures
  Volume 44, Number 4, August25 2022 , pages 557-567
DOI: https://doi.org/10.12989/scs.2022.44.4.557
 


Nonlinear thermal vibration of FGM beams resting on nonlinear viscoelastic foundation
M. Alimoradzadeh and S.D. Akbas

 
Abstract
    Nonlinear free vibration analysis of a functionally graded beam resting on the nonlinear viscoelastic foundation is studied with uniform temperature rising. The non-linear strain-displacement relationship is considered in the finite strain theory. The governing nonlinear dynamic equation is derived based on the finite strain theory with using of Hamilton's principle. The Galerkin's decomposition technique is utilized to discretize the governing nonlinear partial differential equation to nonlinear ordinary differential equation and then is solved by using of multiple time scale method. The influences of temperature rising, material distribution parameter, nonlinear viscoelastic foundation parameters on the nonlinear free response and phase trajectory are investigated. In this paper, it is aimed that a contribution to the literature for nonlinear thermal vibration solutions of a functionally graded beam resting on the nonlinear viscoelastic foundation by using of multiple time scale method.
 
Key Words
    functionally graded material; nonlinear vibration; temperature rising; viscoelastic nonlinear foundation
 
Address
M. Alimoradzadeh:Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

S.D. Akbas:Department of Civil Engineering, Bursa Technical University, 16330, Bursa, Turkey
 

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