Static analysis of rectangular thick plates resting on two-parameter elastic boundary strips |
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| Authors: | S Nobakhti MM Aghdam |
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| Institution: | 1. Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan;2. Department of Civil Engineering, Lac-Hong University, Dong Nai Province, Viet Nam;3. State Key Laboratory of Bridge Engineering Structural Dynamics, China Merchants Chongquig Communications Research & Design Institute Co. Ltd., Chong Qing, PR China;4. Department of Biomedical Engineering and Mechanics, M/C 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA;1. Department of Mechanical Engineering, Melbourne School of Engineering, The University of Melbourne, Victoria 3010, Australia;2. North West Academic Centre, Melbourne Medical School, The University of Melbourne, Victoria 3010, Australia;3. IBM Research Collaboratory for Life Sciences-Melbourne, Victoria Life Sciences Computation Initiative, The University of Melbourne, Victoria 3010, Australia;1. Anadarko Petroleum Corporation, 1201 Lake Robbins Dr, The Woodlands, TX 77380, USA;2. Petroleum and Natural Gas Engineering, The Pennsylvania State University, 151 Hosler Building, University Park, PA 16802, USA;3. Petroleum and Natural Gas Engineering, The Pennsylvania State University, 117 Hosler Building, University Park, PA 16802, USA;1. Department of Civil Engineering, Sharif University of Technology, P.O. Box 11155-9313, Tehran, Iran;2. Institute for Nanoscience and Nanotechnology, Sharif University of Technology, P.O. Box 11155-9161, Tehran, Iran;3. Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, 08854 NJ, USA;1. Department of Physics and Materials Science, Shimane University, Matsue, Shimane 690-8504, Japan;2. National Institute of Materials Science, Sengen 1-2-1, Tsukuba, Ibaraki 305-0047, Japan |
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| Abstract: | In this paper, the Generalized Differential Quadrature (GDQ) method is used to obtain bending solution of moderately thick rectangular plates. The plate is resting on two-parameter elastic (Pasternak) foundation or strips with a finite width. Various combinations of clamped, simply supported and free boundary conditions are considered. According to the first-order shear deformation theory, the governing equations of the problem consist of three second-order partial differential equations (PDEs) in terms of displacement and rotations of the plate. The governing equations and solution domain is discretized based on the GDQ method. It is demonstrated that the method converges rapidly while providing accurate results with relatively small number of grid points. Accuracy of the results is examined using available data in the literature for Pasternak foundation. Furthermore, due to lack of data for Pasternak strips, all predictions are verified by finite element analysis which can be used as benchmark in future studies. |
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