Nonlinear free vibration analysis of SSMFG cylindrical shells resting on nonlinear viscoelastic foundation in thermal environment

2020 ◽  
Vol 85 ◽  
pp. 294-317
Author(s):  
Kamran Foroutan ◽  
Habib Ahmadi
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Thermal Environment ◽  
Cylindrical Shells ◽  
Free Vibration Analysis ◽  
Viscoelastic Foundation ◽  
Nonlinear Free Vibration ◽  
Nonlinear Viscoelastic

scholarly journals Nonlinear Free Vibration Analysis of Micro-beams Resting on Viscoelastic Foundation Based on the Modified Couple Stress Theory

2017 ◽  
Vol 64 (2) ◽  
pp. 239-256 ◽  
Author(s):  
Jafar Eskandari Jam ◽  
Milad Noorabadi ◽  
Nader Namdaran
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Free Vibration Analysis ◽  
Modified Couple Stress Theory ◽  
Viscoelastic Foundation ◽  
Nonlinear Free Vibration ◽  
Stress Theory ◽  
Modified Couple Stress

AbstractIn this paper, nonlinear free vibration analysis of micro-beams resting on the viscoelastic foundation is investigated by the use of the modified couple stress theory, which is able to capture the size effects for structures in micron and sub-micron scales. To this aim, the gov-erning equation of motion and the boundary conditions are derived using the Euler–Bernoulli beam and the Hamilton’s principle. The Galerkin method is employed to solve the governing nonlinear differential equation and obtain the frequency-amplitude algebraic equation. Final-ly, the effects of different parameters, such as the mode number, aspect ratio of length to height, the normalized length scale parameter and foundation parameters on the natural fre-quency-amplitude curves of doubly simply supported beams are studied.

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