Three-dimensional free vibration analysis of four-parameter continuous grading fiber reinforced cylindrical panels resting on Pasternak foundations

Archive of Applied Mechanics

Volumn 81, Issue 12, 2011, Pages 1759-1779

  Sobhani Aragh, B ^a   Yas, M H ^a  

^a RAZI UNIVERSITY   (Iran)

Author keywords

Continuous grading fiber reinforced; Free vibrations; Generalized power law distribution; Pasternak foundation; Three dimensional elasticity solution

Indexed keywords

FIBER REINFORCED; FREE VIBRATION; PASTERNAK FOUNDATION; POWER LAW DISTRIBUTION; THREE-DIMENSIONAL ELASTICITY SOLUTION;

APPROXIMATION THEORY; BIOLOGICAL ORGANS; BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); ELASTICITY; FOUNDATIONS; GRADING; LAMINATED COMPOSITES; ORDINARY DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL; VOLUME FRACTION;

VIBRATION ANALYSIS;

EID: 82955190389     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-011-0516-1     Document Type: Article

References (36)

1. C.T. Loy K.Y. Lam J.N. Reddy 1999 Vibration of functionally graded cylindrical shells Int. J. Mech. Sci. 41 309 324 0968.74033 10.1016/S0020- 7403(98)00054-X
2. S.C. Pradhan C.T. Loy K.Y. Lam J.N. Reddy 2000 Vibration characteristic of functionally graded cylindrical shells under various boundary conditions Appl. Acoust. 61 119 129 10.1016/S0003-682X(99)00063-8
3. B.P. Patel S.S. Gupta M.S.B. Loknath C.P. Kadu 2005 Free vibration analysis of functionally graded elliptical cylindrical shells using higher-order theory Compos. Struct. 69 259 270 10.1016/j.compstruct.2004.07.002 (Pubitemid 40426655)
4. S. Pradyumna J.N. Bandyopadhyay 2008 Free vibration analysis of functionally graded panels using higher-order finite-element formulation J. Sound Vib. 318 176 192 10.1016/j.jsv.2008.03.056
5. J. Yang S.-H. Shen 2003 Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels J. Sound Vib. 261 871 893 10.1016/S0022-460X(02)01015-5
6. S.W. Gang K.Y. Lam J.N. Reddy 1999 The elastic response of functionally graded cylindrical shells to low-velocity Int. J. Impact Eng. 22 397 417 10.1016/S0734-743X(98)00058-X
7. M. Shakeri M. Akhlaghi S.M. Hosseini 2006 Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder J. Compos. Struct. 76 174 181 10.1016/j.compstruct.2006.06.022
8. W.Q. Chen Z.G. Bian H.U. Ding 2004 Three-dimensional vibration analysis of fluid-filled orthotropic FGM cylindrical shells Int. J. Mech. Sci. 46 159 171 1112.74389 10.1016/j.ijmecsci.2003.12.005
9. F. Tornabene 2009 Free vibration analysis of functionally graded conical cylindrical shell and annular plate structures with a four-parameter power-law distribution Comput. Meth. Appl. Mech. Eng. 198 2911 2935 10.1016/j.cma.2009.04. 011
10. B. Sobhani Aragh M.H. Yas 2010 Static and free vibration analyses of continuously graded fiber-reinforced cylindrical shells using generalized power-law distribution Acta Mech. 215 155 173 05820381 10.1007/s00707-010-0335-4
11. B. Sobhani Aragh M.H. Yas 2010 Three dimensional free vibration of functionally graded fiber orientation and volume fraction of cylindrical panels Mater. Des. 31 4543 4552 10.1016/j.matdes.2010.03.055
12. D.N. Paliwal H. Kanagasabapathy K.M. Gupta 1995 The large deflection of an orthotropic cylindrical shell on a Pasternak foundation Compos. Struct. 31 31 37 10.1016/0263-8223(94)00068-9
13. D.N. Paliwal R.K. Pandey T. Nath 1996 Free vibration of circular cylindrical shell on Winkler and Pasternak foundation Int. J. Press. Vessel. Pip. 69 79 89 10.1016/0308-0161(95)00010-0 (Pubitemid 126393756)
14. R. Yang H. Kameda S. Takada 1998 Shell model FEM analysis of buried pipelines under seismic loading Bull. Disaster Prev. Res. Inst. 38 115 146
15. J.B. Cai W.Q. Chen G.R. Ye H.J. Ding 2000 On natural frequencies of a transversely isotropic cylindrical panel on a kerr foundation J. Sound Vib. 232 5 997 1004 10.1006/jsvi.1999.2703
16. H.Tj Gunawan T. Mikami S. Kanie M. Sato 2006 Free vibration characteristics of cylindrical shells partially buried in elastic foundations J. Sound Vib. 290 785 793 10.1016/j.jsv.2005.04.014 (Pubitemid 43006043)
17. M. Farid P. Zahedinejad P. Malekzadeh 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 Mater. Des. 31 2 13 10.1016/j.matdes.2009.07.025
18. Ö. Civalek 2005 Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of HDQ-FD methods Int. J. Press. Vessel. Pip. 82 470 479 10.1016/j.ijpvp.2004.12.003 (Pubitemid 40451372)
19. Sofiyev, A.H.; Halilov, H.M.; Kuruoglu, N.: Analytical solution of the dynamic behavior of non-homogenous orthotropic cylindrical shells on elastic foundations under moving loads. J. Eng. Math. Online First, 24 July (2010)
20. Shah, A.G.; Mahmood, T.; Naeem, M.N.; Arshad, S.H.: Vibration characteristics of fluid-filled cylindrical shells based on elastic foundations, Acta Mechanica, Online First, 20 June (2010)
21. Shu C.: Differential Quadrature and its Application in Engineering. Springer, Berlin (2000)
22. C.W Bert M. Malik 1996 Differential quadrature method in computational mechanics, a review Appl. Mech. Rev. 49 1 28 10.1115/1.3101882
23. C.W. Bert S.K. Jang A.C. Sriz 1989 Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature Comput. Mech. 5 217 226 0695.73029 10.1007/BF01046487
24. W.Q. Chen Z.G. Bian 2003 Elasticity solution for free vibration of laminated beam J. Compos. Struct. 62 75 82 10.1016/S0263-8223(03)00086-2 (Pubitemid 37002539)
25. W.Q. Chen 2005 3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported J. Compos. Struct. 69 77 87 10.1016/j.compstruct.2004.05.015 (Pubitemid 40071813)
26. A. Alibeigloo M. Shakeri 2009 Elasticity solution of static analysis of laminated cylindrical panel using differential quadrature method J. Eng. Struct. 21 260 267 10.1016/j.engstruct.2008.08.012
27. A. Alibeigloo M. Shakeri 2007 Elasticity solution for the free vibration analysis of laminated panels using the differential quadrature method J. Compos. Struct. 81 105 113 10.1016/j.compstruct.2006.08.003 (Pubitemid 46939686)
28. F. Tornabene E. Viola 2008 2-D Solution for free vibrations of parabolic shells using generalized differential quadrature method Eur. J. Mech. A/Solids 27 1001 1025 1151.74360 10.1016/j.euromechsol.2007.12.007
29. H.-S. Shen 2009 A comparison of buckling and postbuckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators Compos. Struct. 91 375 384 10.1016/j.compstruct.2009.06.005
30. Vasiliev, V.V.; Morozov, E.V.: Mechanics and Analysis of Composite Materials, 1st edn. Elsevier (2001)
31. S.S. Vel R.C. Batra 2002 Exact thermoelasticity solution for functionally graded thick rectangular plates AIAA J. 40 1421 1433 10.2514/2.1805 (Pubitemid 34799630)
32. C. Shu B.E. Richards 1992 Application of generalized differential quadrature to solve two-dimensional incompressible Navier Stokes equations Int. J. Numer. Meth. Fluid 15 791 798 0762.76085 10.1002/fld.1650150704 (Pubitemid 23557497)
33. R. Bellman B.G. Kashef J. Casti 1972 Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations J. Comput. Phys. 10 4 52 337019 10.1016/0021-9991(72)90089-7
34. H. Matsumaga 2008 Free vibration and stability of functionally graded shallow shells according to a 2-D higher- order deformation theory J. Compos. Struct. 84 132 146 10.1016/j.compstruct.2007.07.006 (Pubitemid 351396251)
35. Miracle, D.B.: Aeronautical applications of metal-matrix composites. Composite ASM International Material Park, OH vol. 21, 1043-1049 (2001)
36. J.L. Pelletier S.S. Vel 2006 An exact solution for the steady state thermo-elastic response of functionally graded orthotropic cylindrical shells Int. J. Solid Struct. 43 1131 1158 1119.74475 10.1016/j.ijsolstr.2005.03.079 (Pubitemid 41828248)