A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration |
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| Affiliation: | 1. Laboratoire des Matériaux et Hydrologie, Faculté de Technologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, Algeria;2. Laboratoire des Structures et Matériaux, Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculté de Technologie, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, Algeria;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia;4. Mathematics Department, Faculty of Science, University of Sohag, Egypt;5. Gort Engovation–Propulsion, Nanomechanics and Biophysics, Southmere Avenue, Bradford, UK;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;1. Faculty of Civil Engineering and Applied Mechanics, HCMC University of Technology and Education, 1Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Viet Nam;2. Duy Tan University, Da Nang, Viet Nam;3. Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, NE1 8ST, UK;4. Department of Physical Therapy, Graduate Institute of Rehabilitation Science, China Medical University, Taichung 40402, Taiwan;5. Center for Interdisciplinary Research in Technology, HUTECH University, 475A Dien Bien Phu Street, Binh Thanh District, Ho Chi Minh City, Viet Nam;1. Department of Civil Engineering of Engineering Faculty of Suleyman Demirel University, 32260, Isparta, Turkey;2. Department of Mechanical Engineering, University of New Orleans, New Orleans, LA, United States |
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| Abstract: | The sinusoidal shear deformation plate theory, presented in the first part of this paper, is used to study the buckling and free vibration of the simply supported functionally graded sandwich plate. Effects of rotatory inertia are considered. The critical buckling load and the vibration natural frequency are investigated. Some available results for sandwich plates non-symmetric about the mid-plane can be retrieved from the present analysis. The influences of the transverse shear deformation, plate aspect ratio, side-to-thickness ratio and volume fraction distributions are studied. In addition, the effect of the core thickness, relative to the total thickness of the plate, on the critical buckling load and the eigenfrequencies is investigated. |
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