High-order free vibration analysis of sandwich plates with both functionally graded face sheets and functionally graded flexible core |
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| Affiliation: | 1. Laboratoire des Sciences Aéronautiques, Université de Blida 1, BP 270, 09000 Blida, Algeria;2. Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Ben M’hidi, 22000 Sidi Bel Abbes, Algeria;1. Faculty of Civil Engineering and Applied Mechanics, University of Technical Education Ho Chi Minh City, 1 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Viet Nam;2. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;3. Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne NE1 8ST, UK;1. Department of Mechanical Engineering, Faculty of Engineering, Tarbiat Modares University, 14115-143 Tehran, Iran;2. Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region;1. The Solid Mechanics Research Centre, Beihang University (BUAA), Beijing 100191, China;2. Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;1. College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR China;2. Shanghai Marine Equipment Research Institute, Shanghai 200031, PR China;1. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China;2. Department of Mechanic and Electronic Engineering, Beijing Information Science and Technology University, Beijing 100192, China;3. Department of Mechanic and Electronic Engineering, Beijing University of Technology, Beijing 100022, China |
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| Abstract: | Free vibration analysis of functionally graded material sandwich plates is studied using a refined higher order sandwich panel theory. A new type of FGM sandwich plates, namely, both functionally graded face sheets and functionally graded flexible core are considered. The functionally graded material properties follow a power-law function. The first order shear deformation theory is used for the face sheets and a 3D-elasticity solution of weak core is employed for the core. On the basis of continuities of the displacements and transverse stresses at the interfaces of the face sheets and the core, equations of motion are obtained by using Hamilton’s principle. The accuracy of the present approach is validated by comparing the analytical results obtained for a degradation model (functionally graded face sheets and homogeneous flexible core) with ones published in the literatures, as well as the numerical results obtained by finite element method and good agreements are reached. Then, parametric study is conducted to investigate the effect of distribution of functionally graded material properties, thickness to side ratio on the vibration frequencies. |
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| Keywords: | A Layered structures B Vibration C Analytical modelling D Functionally graded material A Plates |
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