On the frequency response of moderately thick simply supported rectangular plates with arbitrary lamination |
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| Affiliation: | 1. Department of Civil Engineering, Kuwait University, P.O. Box 5969, Safat, 13060 Kuwait;1. School of Mathematical Sciences, Huaibei Normal University, Huaibei, 235000, China;2. Department of Basic Courses, Shanghai Customs College, Shanghai 201204, China;1. School of Exercise and Rehabilitation Sciences, University of Toledo, Mailstop 119, Toledo, OH, USA;2. Curry School of Education, Department of Kinesiology, University of Virginia, Charlottesville, VA, USA;1. College of Science, China Agricultural University, Beijing 100083, PR China;2. College of Engineering, China Agricultural University, Beijing 100083, PR China;3. Department of Aerospace Science and Technology, Space Engineering University, Beijing 101416, PR China;1. Department of Mathematical Sciences, Durham University, Lower Mountjoy, South Road, Durham DH1 3LE, UK;2. School of Mathematics, Cardiff University, 21–23 Senghennydd Road, Cardiff CF24 4AG, UK;3. Mathematisches Institut, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland |
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| Abstract: | A here-to-fore unavailable analytical solution to the boundary-value problem of free vibration response of arbitrarily laminated moderately thick rectangular plates, subjected to an admissible boundary condition is presented. A novel boundary continuous solution approach is employed to solve the highly coupled governing partial differential equations that arise from the implementation of the Yang-Norris-Stavsky (1966) theory incorporating first-order shear deformation, and rotary and in-plane inertias. The numerical results presented for various parametric effects to study first lowest seven eigenvalues, and corresponding eigenvectors, can be capitalized as bench-marks for a future comparison. An eight-node isoparametrics shear-flexible element is considered to validate its performance with respect to the present solutions. |
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