Semi-Analytical Solution for Free Vibration Analysis of Thick Laminated Curved Panels with Power-Law Distribution FG Layers and Finite Length Via Two-Dimensional GDQ Method

Subject Areas : Engineering

V Tahouneh ¹ (Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University)
M.H Naei ² (School of Mechanical Engineering, College of Engineering, University of Tehran)

Received: 2016-02-25 Accepted : 2016-04-20 Published : 2016-06-30

Keywords:

References:

[1] Abrate S., 1998, Impact on Composite Structures, Cambridge UK, Cambridge University Press.
[2] Viola E., Tornabene F., 2009, Free vibrations of three-parameter functionally graded parabolic panels of revolution, Mechanics Research Communications 36: 587-594.
[3] Anderson T.A., 2003, 3D elasticity solution for a sandwich composite with functionally graded core subjected to transverse loading by a rigid sphere, Composite Structure 60: 265-274.
[4] Kashtalyan M., Menshykova M., 2009, Three-dimensional elasticity solution for sandwich panels with a functionally graded core, Composite Structure 87: 36-43.
[5] Li Q., Iu V.P., Kou K.P., 2008, Three-dimensional vibration analysis of functionally graded material sandwich plates, Journal of Sound and Vibration 311(1-2): 498-515.
[6] Zenkour A.M., 2005, A comprehensive analysis of functionally graded sandwich plates. Part 1-deflection and stresses, International Journal of Solid Structure 42: 5224-5242.
[7] Zenkour A.M., 2005, A comprehensive analysis of functionally graded sandwich plates : Part 1- Deflection and stresses, International Journal of Solid Structure 42: 5243-5258.
[8] Kamarian S., Yas M.H., Pourasghar A., 2013, Free vibration analysis of three-parameter functionally graded material sandwich plates resting on Pasternak foundations, Sandwich Structure and Material 15: 292-308.
[9] Loy C.T., Lam K.Y., Reddy J.N., 1999, Vibration of functionally graded cylindrical shells, International Journal of Mechanical science 41: 309-324.
[10] Pradhan S.C., Loy C.T., Lam K.Y., Reddy J.N., 2000, Vibration characteristic of functionally graded cylindrical shells under various boundary conditions, Applied Acoustic 61: 119-129.
[11] Patel B.P., Gupta S.S., Loknath M.S.B., Kadu C.P., 2005, Free vibration analysis of functionally graded elliptical cylindrical shells using higher-order theory, Composite Structure 69: 259-270.
[12] Pradyumna S., Bandyopadhyay J.N., 2008, Free vibration analysis of functionally graded panels using higher-order finite-element formulation, Journal of Sound and Vibration 318: 176-192.
[13] Yang J., Shen S.H., 2003, Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels, Journal of Sound and Vibration 261: 871-893.
[14] Gang S.W., Lam K.Y., Reddy J.N., 1999, The elastic response of functionally graded cylindrical shells to low-velocity, International Journal of Impact Engineering 22: 397-417.
[15] Shakeri M., Akhlaghi M., Hosseini S.M., 2006, Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder, Composite Structure 76: 174-181.
[16] Chen W.Q., Bian Z.G., Ding H.U., 2004, Three-dimensional vibration analysis of fluid-filled orthotropic FGM cylindrical shells, International Journal of Mechanical Science 46: 159-171.
[17] Tornabene F., 2009, Free vibration analysis of functionally graded conical cylindrical shell and annular plate structures with a four-parameter power-law distribution, Computer Methods Applied Mechanical Engineering 198: 2911-2935.
[18] Sobhani Aragh B., Yas M.H., 2010, Static and free vibration analyses of continuously graded fiber-reinforced cylindrical shells using generalized power-law distribution, Acta Mechanica 215: 155-173.
[19] Sobhani Aragh B., Yas M.H., 2010, Three dimensional free vibration of functionally graded fiber orientation and volume fraction of cylindrical panels, Material Design 31: 4543-4552.
[20] Paliwal D.N., Kanagasabapathy H., Gupta K.M., 1995, The large deflection of an orthotropic cylindrical shell on a Pasternak foundation, Composite Structure 31: 31-37.
[21] Paliwal D.N., Pandey R.K., Nath T., 1996, Free vibration of circular cylindrical shell on Winkler and Pasternak foundation, International Journal of Pressure Vessels and Piping 69: 79-89.
[22] Yang R., Kameda H., Takada S., 1998, Shell model FEM analysis of buried pipelines under seismic loading, Bulletin of the Disaster Prevention Research Institute 38: 115-146.
[23] Cai J.B., Chen W.Q., Ye G.R, Ding H.J., 2000, On natural frequencies of a transversely isotropic cylindrical panel on a kerr foundation, Journal of Sound and Vibration 232: 997-1004.
[24] Gunawan H., TjMikami T., Kanie S., Sato M., 2006, Free vibration characteristics of cylindrical shells partially buried in elastic foundations, Journal of Sound and Vibration 290: 785-793.
[25] Farid M., Zahedinejad P., Malekzadeh P., 2010, Three dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two parameter elastic foundation using a hybrid semi-analytic, differential quadrature method, Material Design 31: 2-13.
[26] Matsunaga H., 2008, Free vibration and stability of functionally graded shallow shells according to a 2-D higher-order deformation theory, Composite Structure 84: 132-146.
[27] Civalek Ö., 2005, Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of HDQ-FD methods, International Journal of Pressure Vessels and Piping 82: 470-479.
[28] Yas M.H., Tahouneh V., 2012, 3-D free vibration analysis of thick functionally graded annular plates on Pasternak elastic foundation via differential quadrature method (DQM), Acta Mechanica 223: 43-62.
[29] Tahouneh V., Yas M.H., 2012, 3-D free vibration analysis of thick functionally graded annular sector plates on Pasternak elastic foundation via 2-D differential quadrature method, Acta Mechanica 223: 1879-1897.
[30] Tahouneh V., Yas M.H., Tourang H., Kabirian M., 2013, Semi-analytical solution for three-dimensional vibration of thick continuous grading fiber reinforced (CGFR) annular plates on Pasternak elastic foundations with arbitrary boundary conditions on their circular edges, Meccanica 48: 1313-1336.
[31] Tahouneh V., Yas M.H., 2013, Influence of equivalent continuum model based on the eshelby-mori-tanaka scheme on the vibrational response of elastically supported thick continuously graded carbon nanotube-reinforced annular plates, Polymer Composites 35(8):1644-1661.
[32] Tahouneh V., Naei M.H., 2013, A novel 2-D six-parameter power-law distribution for three-dimensional dynamic analysis of thick multi-directional functionally graded rectangular plates resting on a two-parameter elastic foundation, Meccanica 49(1):91-109.
[33] Tahouneh V., 2014, Free vibration analysis of thick CGFR annular sector plates resting on elastic foundations, Structural Engineering and Mechanics 50 (6): 773-796.
[34] Shu C., 2000, Differential Quadrature and Its Application in Engineering, Springer, Berlin.
[35] Shu C., Richards B.E., 1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations , International Journal for Numerical Methods in Fluids 15: 791-798.