Stability of twisted orthotropic plates |
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| Authors: | David J. Crispino Richard C. Benson |
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| Affiliation: | 1. Department of Mechanics, Materials and Structures, Budapest University of Technology and Economics, Müegyetem rkp. 1–3. K261, Budapest 1111, Hungary;2. MTA-BME Morphodynamics Research Group, Budapest, Hungary;3. Department of Mathematics, Cornell University, Ithaca 14850, USA;1. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China;2. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China;3. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China;4. Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou 310018, China;5. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China;1. Department of Structures for Engineering and Architecture, University of Naples “Federico II”, via Forno Vecchio 36, 80134 Naples, Italy;2. Department of Civil and Building Engineering and Architecture, Polytechnic University of Marche, via Brecce Bianche 12, 60131 Ancona, Italy;1. Department of Mechanical Engineering, Santa Clara University, Santa Clara, CA 95053 USA;2. Department of Mechanical Engineering, University of California, Berkeley, CA 94720 USA;3. Department of Surgery, University of California, San Francisco, CA 94143 USA;4. California Medical Innovations Institute, San Diego, CA 92121 USA;1. Key Laboratory of Traffic Safety on Track of Ministry of Education, School of Traffic & Transportation Engineering, Central South University, Changsha 410075, China;2. Qatar Environment and Energy Research Institute (QEERI), Hamad Bin Khalifa University (HBKU), Qatar Foundation, PO Box 5825, Doha, Qatar;3. Chemical Engineering Program, Texas A&M University at Qatar, Education City, Doha 23874, Qatar |
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| Abstract: | Studied here is the stability of thin, rectangular, orthotropic plates which are in a state of tension and twist. A transfer matrix method is used to obtain numerical solutions to the linearized von Kármán plate equations, and to determine critical angles of twist per unit length which buckle the plate. Results are presented, in a compact nondimensional form, for a range of material, geometric and loading parameters. It is found that orthotropism significantly affects the stability of the plate. |
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