Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory |
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| Institution: | 1. CEMSE, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia;2. Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata 5, 27100, Pavia, Italy;3. Consiglio Nazionale delle Ricerche - Istituto di Matematica Applicata e Tecnologie Informatiche “E. Magenes” (CNR-IMATI), Via Ferrata 1, 27100, Pavia, Italy;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;2. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;1. Division of Pediatric Pulmonary Medicine, Allergy, and Immunology, Children''s Hospital of Pittsburgh of UPMC, Pittsburgh, Pa;2. University of Pittsburgh School of Medicine, Pittsburgh, Pa;3. Channing Division of Network Medicine, Department of Medicine, Harvard Medical School and Brigham and Women''s Hospital, Boston, Mass;4. Department of Pediatric Pulmonology, Hospital Nacional de Niños, San José, Costa Rica;5. Department of Pediatrics, University of Connecticut Health Center, Farmington, Conn;6. Department of Pediatrics, University of Puerto Rico, San Juan, Puerto Rico;7. Behavioral Sciences Research Institute, University of Puerto Rico, San Juan, Puerto Rico;1. Department of Civil and Environmental Engineering, The NorthCap University, Gurugram, Haryana 122017, India;2. Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India;3. Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000 Biskra, Algeria;4. State Key Lab of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;1. Lodz University of Technology, Department of Automation, Biomechanics and Mechatronics, 1/15 Stefanowski St., 90-924 Lodz, Poland;2. Warsaw University of Technology, Department of Vehicles, 84 Narbutta Str., 02-524 Warsaw, Poland;3. National Technical University “KhPI”, Department of Applied Mathematics, 21 Str., 61002 Kharkiv, Ukraine |
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| Abstract: | A mixed shear flexible finite element, with relaxed continuity, is developed for the geometrically linear and non-linear analysis of layered anisotropic plates. The element formulation is based on a refined higher order theory which satisfies the zero transverse shear stress boundary conditions on the top and bottom faces of the plate and requires no shear correction coefficients. The mixed finite element developed herein consists of eleven degrees of freedom per node which include three displacements, two rotations and six moment resultants. The element is evaluated for its accuracy in the analysis of the stability and vibration of anisotropic rectangular plates with different lamination schemes and boudary conditions. The mixed finite element described here for the higher order theory gives very accurate results for buckling loads and natural frequencies. |
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