Nonlinear free vibration of pre- and post-buckled FGM plates on two-parameter foundation in the thermal environment

2016 ◽  
Vol 137 ◽  
pp. 85-92 ◽  
Author(s):  
Maciej Taczała ◽  
Ryszard Buczkowski ◽  
Michal Kleiber
Keyword(s):  
Free Vibration ◽  
Thermal Environment ◽  
Nonlinear Free Vibration ◽  
Two Parameter

scholarly journals Nonlinear free vibration of rotating FG trapezoidal microplates in thermal environment

2022 ◽  
Vol 170 ◽  
pp. 108614
Author(s):  
Amin Ghorbani Shenas ◽  
Sima Ziaee ◽  
Parviz Malekzadeh
Keyword(s):  
Free Vibration ◽  
Thermal Environment ◽  
Nonlinear Free Vibration

Nonlinear Free Vibration of Piezoelectric Functionally Graded Beams in Thermal Environment

2015 ◽  
Author(s):  
Ali Fallah ◽  
Mohammad Taghi Ahmadian ◽  
Ahmad Barari
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Thermal Loading ◽  
Thermal Environment ◽  
Nonlinear Behavior ◽  
Free Vibration Analysis ◽  
Beam Theory ◽  
Functionally Graded ◽  
Nonlinear Free Vibration ◽  
Simple Analytical Expression

Nonlinear free vibration analysis of piezoelectric functionally graded (PFG) beams in thermal environment with any boundary conditions are investigated. The nonlinear governing Equation of motion is derived based on the Euler-Bernoulli beam theory and Von Karman’s strain-displacement relation. Simple analytical expression is presented for the nonlinear natural frequency using energy balanced method (EBM). Results are validated and compared with available results in the literature. Effects of different parameters such as vibration amplitude, boundary conditions, material inhomogenity, electrical and thermal loading on the nonlinear behavior of PFG beams are presented.

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