Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations |
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| Authors: | M Asgari M Akhlaghi |
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| Institution: | 1. Department of Mechanical Engineering, Fereydan Branch, Islamic Azad University, Isfahan, Iran;2. Young Researchers and Elites Club, Science and Research Branch, Islamic Azad University, Tehran, Iran;3. Faculty of Engineering, University of Imam Ali, Tehran, Iran;1. Department of Civil Engineering, National Institute of Technology Karnataka, Srinivasnagar, Mangalore 575025, India;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;4. Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy;1. Department of Mechanical Engineering, Islamic Azad University, Karaj Branch, Karaj, Iran;2. Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Pardis Street, Molasadra Avenue, Vanak Square, Tehran, Iran;1. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;2. Department of Innovation Engineering, University of Salento, Lecce, Italy;3. DICAM Department, School of Engineering and Architecture, University of Bologna, Italy |
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| Abstract: | In this paper, natural frequencies characteristics of a thick hollow cylinder with finite length made of two-dimensional functionally graded material (2D-FGM) based on three-dimensional equations of elasticity is considered. The axisymmetric conditions are assumed for the 2D-FGM cylinder. The material properties of the cylinder are varied in the radial and axial directions with power law functions. Effects of volume fraction distribution and FGM configuration on the natural frequencies of a simply supported cylinder are analyzed. Also, the effects of length and thickness of the cylinder are considered for different material distribution profiles. Three-dimensional equations of motion are used and the eigen value problem is developed based on direct variational method. Finite element method with graded material characteristics within each element of the structure is used for solution. The study shows that the 2D-FGM cylinder exhibit interesting frequency characteristics when the constituent volume fractions and its configuration are varied. |
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