Vibration of laminated orthotropic plates using a simplified higher-order deformation theory |
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| Affiliation: | 1. School of Mechanical Engineering, Inner Mongolia University of Sciences and Technology, Baotou 014010, PR China;2. School of Material and Metallurgy, Inner Mongolia University of Sciences and Technology, Baotou 014010, PR China;1. Research and Development Centre, Bharathiar University, Coimbatore 641046, India;2. Department of Physics, Panimalar Engineering College, Chennai 600123, TN, India;3. New Technologies Research Centre, University of West Bohemia in Pilsen, Plzeň 30614, Czech Republic;4. Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan;5. Department of Applied Physics, Tunghai University, Taichung City, 40740, Taiwan;6. Department of Physics, Rajeswari Vedachalam Govt. Arts College, Chengalpet 603001, TN, India;7. Centre for Nanoscience and Technology, Anna University, Chennai 600025, India;1. Department of Orthopaedic Surgery, University of Miyazaki, Miyazaki, Japan;2. Institute of Medical Science, Tokyo Medical University, Tokyo, Japan;3. Upper Extremity Center of Joint Replacement and Endoscopic Surgery, Hokushin Orthopaedic Hospital, Sapporo, Japan;4. Department of Orthopaedic Surgery, Asahikawa Medical University, Asahikawa, Japan;5. Rehabilitation Clinic Yamaguchi, Naha, Japan;6. Department of Orthopaedic Surgery, Nara Medical University, Kashihara, Japan |
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| Abstract: | Assuming a constant in-plane rotation tensor through the thickness in Reddy's higher-order plate theory it is shown that a simpler higher-order theory can be obtained with the reduction of one variable without significant loss in the accuracy. This simple higher-order shear deformable plate theory is then used for predicting the natural frequencies of simply-supported isotropic, orthotropic and laminated composite plates. The results obtained for isotropic, orthotropic and laminated plates compare favourably with Reddy's results and other 3D results. |
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