A differential quadrature procedure for three-dimensional buckling analysis of rectangular plates |
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| Institution: | 1. Division of Engineering Mechanics, School of Mechanical and Production Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798;1. School of Engineering - Emerging Technologies, University of Tabriz, Tabriz, Iran;2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran;3. Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, United States;1. Division of Applied Mathematics, Brown University, Providence 02912, USA;2. Department of Mathematics, Jinan University, Guangzhou 510632, PR China;1. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;2. Sorbonne Universités, Université Pierre-et-Marie-Curie, Laboratoire Jacques-Louis-Lions, 75005 Paris, France;1. Aerospace Engineering Department, Faculty of New Technologies and Engineering, Shahid Beheshti University G.C., Tehran, Iran;2. Department of Aerospace Engineering, Centre of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran |
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| Abstract: | This paper presents an application of the differential quadrature (DQ) method for three-dimensional buckling analysis of rectangular plates. The governing equations of the plate model are first presented in terms of displacement, stress displacement relationship, and boundary conditions with three-dimensional flexibility. These equations are then normalised and discretised using the DQ procedure. Example problems pertaining to the buckling of rectangular plates with generic boundary conditions are selected to illustrate the efficiency and simplicity of implementing the DQ procedure. The convergence characteristics of the method are first conducted based on numerical studies. The DQ solutions are then compared, where possible, with exact or approximate solutions. It is found that the differential quadrature method yields accurate results for the plate problems under the current investigation. In addition to the above, some parametric studies are carried out by varying the plates aspect ratio, boundary conditions and thickness to width ratio under axial and biaxial loading. |
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