A novel 2-D six-parameter power-law distribution for free vibration and vibrational displacements of two-dimensional functionally graded fiber-reinforced curved panels |
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| Authors: | B. Sobhani Aragh H. Hedayati E. Borzabadi Farahani M. Hedayati |
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| Affiliation: | 1. Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran;2. Department of Mechanical Engineering, (I.A.U.) Aligudarz Branch, Iran;3. Department of Mechanical Engineering, Kashan University, Kashan, Iran;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. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, PR China;2. School of material science and environmental engineering, Chengdu Technological University, Chengdu 610031, PR China;1. Young Researchers Club, Arak Branch, Islamic Azad University, Arak, Iran;2. Department of Civil Engineering, Faculty of Engineering, Arak University, Arak, Iran;3. Mechanical Engineering Department, Razi University, Kermanshah, Iran;4. Center Excellence in Thermoelasticity, Amirkabir University of Technology, Tehran, Iran;5. Department of Mechanical Construction and Production, Faculty of Engineering, Ghent University, Gent, Belgium |
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| Abstract: | As a first endeavor, the three-dimensional free vibration and vibrational displacements characteristics of two-dimensional functionally graded fiber-reinforced (2-D FGFR) curved panels with different boundary conditions are presented. This paper presents a novel 2-D six-parameter power-law distribution for fiber volume fractions of 2-D FGFR that gives designers a powerful tool for design flexible of structures under multi-functional requirements. Various material profiles in two radial and axial directions can be illustrated using the six-parameter power-law distribution. The study is carried out based on the three-dimensional, linear and small strain elasticity theory. In this work, orthotropic panel is assumed to be simply supported at one pair of opposite edges and arbitrary boundary conditions at the other edges such that trigonometric functions expansion can be used to satisfy the boundary conditions precisely at simply supported edges. The 2-D generalized differential quadrature method (GDQM) as an efficient and accurate numerical tool is used to discretize the governing equations and to implement the boundary conditions. The convergence of the method is demonstrated and to validate the results, comparisons are made with the available solutions for FGM curved panels. Results indicate by using the 2-D six-parameter power-law distribution, it is possible to study the influence of different kinds of two-directional material profiles including symmetric and classic on the natural frequencies and modal displacements of a 2-D FGFR panel. Furthermore, maximum amplitude and uniformity of modal displacements distributions can be modified to a required manner by selecting suitable different parameters of 2-D power-law distribution and several various volume fractions profiles in two directions. |
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