The Vibration And Buckling Analysis Of Double-viscoelestic-FGM-nanoplates

The functionally graded material(FGM)nanoplate is one of the most important basic elements of nanoelectromechanical system owing to its remarkable physical and mechanical property.Based on the Eringen's nonlocal elastic theory,the Kirchhoff thin plates theory and the Kelvin model,the general governing equations for transverse vibration and biaxial buckling of double-viscoelastic-FGM-nanoplate system with simply supported boundary conditions are obtained.The viscoelastic Pasternak medium is located between the two plates.The analytical solutions for vibrational frequency and buckling load of the system with the surface effect are obtained by employing Navier's method.The influences of the structural damping,medium damping,small size effect,loading ratio,Winkler modulus and shear modulus of the medium on vibration frequency and buckling load of the system are discussed.It is demonstrated that the vibrational frequency and buckling load of the system for the out-of-phase is dependent upon the structural damping,small size effect and viscoelastic Pasternak medium,and the buckling load is also dependent upon the loading ratio,whereas the vibrational frequency and buckling load for the in-phase is independent on the viscoelastic Pasternak medium.In addition,the vibrational frequency and buckling load are dependent upon the residual stress and the thickness of the plates.