Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory |
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| Authors: | J.L. Mantari A.S. Oktem C. Guedes Soares |
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| Affiliation: | 1. Laboratoire des Sciences Aéronautiques, Université de Blida 1, BP 270, 09000 Blida, Algeria;2. Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Ben M’hidi, 22000 Sidi Bel Abbes, Algeria;1. Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, Isparta, Turkey;2. Department of Mechanical Engineering, University of New Orleans, New Orleans, LA, USA;3. Institute of Mathematics and Mechanics of ANAS, Baku, Azerbaijan;4. Department of Civil Engineering, Faculty of Engineering, Omer Halisdemir University, Nigde, Turkey;5. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China;6. Institute of Solid Mechanics, Karlsruhe Institute of Technology, Karlsruhe, Germany;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;1. DICAM Department, University of Bologna, Italy;2. Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy |
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| Abstract: | Bending and free vibration analysis of multilayered plates and shells by using a new accurate higher order shear deformation theory (HSDT) is presented. It is one of the most accurate HSDT available in the literature, mainly because new non-polynomial shear strain shape functions (combination of exponential and trigonometric) used in the present theory are richer than polynomial functions, and free surface boundary conditions can be guaranteed a priori. The present HSDT is able to reproduce Touratier’s HSDT as special case. The governing equations and boundary conditions are derived by employing the principle of virtual work. These equations are then solved via Navier-type, closed form solutions. Bending and dynamic results are presented for cylindrical and spherical shells and plates for simply supported boundary conditions. Panels are subjected to sinusoidal, distributed and point loads. Results are provided for thick to thin as well as shallow and deep shells. The present results are compared with the exact three-dimensional elasticity theory and with several other well-known HSDT theories. The present HSDT is found to be more precise than other several existing ones for analyzing the bending and free vibration of isotropic and multilayered composite shell and plate structures. |
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