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Smart Structures and Systems
  Volume 26, Number 2, August 2020 , pages 185-193
DOI: https://doi.org/10.12989/sss.2020.26.2.185
 


Nonlinear forced vibration of sandwich plate with considering FG core and CNTs reinforced nano-composite face sheets
Rasoul Rostami, Mohsen Irani Rahaghi and Mehdi Mohammadimehr

 
Abstract
    Nonlinear vibration of sandwich plate with functionally graded material (FGM) core and carbon nano tubes reinforced (CNTs) nano-composite layers by considering temperature-dependent material properties are studied in this paper. Base on Classical plate theory (CPT), the governing partial differential equations of motion for sandwich plate are derived using Hamilton principle. The Galerkin procedure and multiple scales perturbation method are used to find relation between nonlinear frequency and amplitude of vibration response. The dynamic responses of the sandwich plate are also investigated in both time and frequency domains. Then, the effects of nonlinearity, excitation, power law index of FG core, volume fraction of carbon nanotube, the function of material variations of FG core, temperature changes, scale transformation parameter and damping factor on the frequency responses are investigated.
 
Key Words
    nonlinear vibration; sandwich plate; FG core and FG-CNTs face sheets; nano-composite; multiple scales perturbation method
 
Address
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-53153, Iran.
 

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