OICC Press Journal of Solid Mechanics 2008-7683 11 5 2019 12 01 Analysis of Viscoelastic Functionally Graded Sandwich Plates with CNT Reinforced Composite Face Sheets on Viscoelastic Foundation 690 706 EN A Ghorbanpour Arani Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran -----Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran M Emdadi Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran H Ashrafi Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran M Mohammadimehr Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran S Niknejad Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran A.A Ghorbanpour Arani School of Mechnical Engineering, College of Engineering, University of Tehran, Tehran, Iran A Hosseinpour Department of Mechanical Engineering and Engineering Science, University of North Carolina at Charlotte, USA Journal Article 2019 12 01 In this article, bending, buckling, and free vibration of viscoelastic sandwich plate with carbon nanotubes reinforced composite facesheets and an isotropic homogeneous core on viscoelastic foundation are presented using a new first order shear deformation theory. According to this theory, the number of unknown’s parameters and governing equations are reduced and also the using of shear correction factor is not necessary because the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. The governing equations obtained using Hamilton’s principle is solved for a rectangular viscoelastic sandwich plate. The effects of the main parameters on the vibration characteristics of the viscoelastic sandwich plates are also elucidated. The results show that the frequency significantly decreases with using foundation and increasing the viscoelastic structural damping coefficient as well as the damping coefficient of materials and foundation.