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Volumn 23, Issue 1, 2016, Pages 89-107

Four-parameter functionally graded cracked plates of arbitrary shape: A GDQFEM solution for free vibrations

Author keywords

arbitrary shape; cracked flat plates; free vibrations; functionally graded materials; generalized differential quadrature finite element method

Indexed keywords

CRACKS; FUNCTIONALLY GRADED MATERIALS; NUMERICAL METHODS; VIBRATIONS (MECHANICAL);

EID: 84942345972     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376494.2014.933992     Document Type: Article
Times cited : (105)

References (66)
  • 2
    • 0004065057 scopus 로고
    • US Government Printing Office 1969, Reprinted by The Acoustical Society of America
    • A.W. Leissa, Vibration of plates, NASA SP-160, US Government Printing Office, 1969, Reprinted by The Acoustical Society of America, 1993.
    • (1993) Vibration of Plates, NASA SP-160
    • Leissa, A.W.1
  • 3
    • 84880221330 scopus 로고    scopus 로고
    • An enhanced reddys theory for composite plates subjected to temperature load
    • S.H. Lo, W. Zhen, and K.Y. Sze, An enhanced Reddys theory for composite plates subjected to temperature load. Mech.Adv.Mater. Struct., vol. 20, pp. 834-841, 2013.
    • (2013) Mech.Adv.Mater. Struct , vol.20 , pp. 834-841
    • Lo, S.H.1    Zhen, W.2    Sze, K.Y.3
  • 4
    • 79956216196 scopus 로고    scopus 로고
    • Vibrations of rectangular plates with internal cracks or slits
    • C.S. Huang, A.W. Leissa, and C.W. Chan, Vibrations of rectangular plates with internal cracks or slits. Int. J. Mech. Sci., vol. 53, pp. 436-445, 2011.
    • (2011) Int. J. Mech. Sci , vol.53 , pp. 436-445
    • Huang, C.S.1    Leissa, A.W.2    Chan, C.W.3
  • 6
    • 67650753570 scopus 로고    scopus 로고
    • Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution
    • F. Tornabene, and E. Viola, Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution. Eur. J.Mech. A, vol. 28, pp. 991-1013, 2009.
    • (2009) Eur. J.Mech. A , vol.28 , pp. 991-1013
    • Tornabene, F.1    Viola, E.2
  • 7
    • 65549134656 scopus 로고    scopus 로고
    • Free vibrations of three parameter functionally graded parabolic panels of revolution
    • E. Viola, and F. Tornabene, Free vibrations of three parameter functionally graded parabolic panels of revolution. Mech. Res. Commun., vol. 36, pp. 587-594, 2009.
    • (2009) Mech. Res. Commun , vol.36 , pp. 587-594
    • Viola, E.1    Tornabene, F.2
  • 8
    • 84864768338 scopus 로고    scopus 로고
    • Numerical investigation of functionally graded cylindrical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery
    • E.Viola, L. Rossetti, and N. Fantuzzi, Numerical investigation of functionally graded cylindrical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery. Compos. Struct., vol. 94, pp. 3736-3758, 2012.
    • (2012) Compos. Struct , vol.94 , pp. 3736-3758
    • Viola, E.1    Rossetti, L.2    Fantuzzi, N.3
  • 10
    • 70449356635 scopus 로고    scopus 로고
    • Exact solutions for free vibrations of functionally graded thick plates on elastic foundations
    • C.F. Lü, C.W. Lim, andW.Q. Chen, Exact solutions for free vibrations of functionally graded thick plates on elastic foundations. Mech. Adv. Mater. Struct., vol. 16, pp. 576-584, 2009.
    • (2009) Mech. Adv. Mater. Struct , vol.16 , pp. 576-584
    • Lü, C.F.1    Lim, C.W.2    Chen, W.Q.3
  • 11
    • 84884856314 scopus 로고    scopus 로고
    • An investigation into the thermoelastic analysis of circular and annular functionally graded material plates
    • M.E. Golmakani, and M. Kadkhodayan, An investigation into the thermoelastic analysis of circular and annular functionally graded material plates. Mech. Adv. Mater. Struct., vol. 21, pp. 1-13, 2012.
    • (2012) Mech. Adv. Mater. Struct , vol.21 , pp. 1-13
    • Golmakani, M.E.1    Kadkhodayan, M.2
  • 12
    • 84859188459 scopus 로고    scopus 로고
    • Vibration analysis of curvilinearlystiffened functionally graded plate using element free galerkin method
    • A.Y. Tamijani, and R.K. Kapania, Vibration analysis of curvilinearlystiffened functionally graded plate using element free Galerkin method. Mech. Adv. Mater. Struct., vol. 19, pp. 100-108, 2012.
    • (2012) Mech. Adv. Mater. Struct , vol.19 , pp. 100-108
    • Tamijani, A.Y.1    Kapania, R.K.2
  • 13
    • 33746471923 scopus 로고    scopus 로고
    • Free vibration buckling, and static deflections of functionally graded plates
    • S. Abrate, Free vibration, buckling, and static deflections of functionally graded plates. Compos. Sci. Technol., vol. 66, pp. 2383-2394, 2006.
    • (2006) Compos. Sci. Technol , vol.66 , pp. 2383-2394
    • Abrate, S.1
  • 14
    • 33846491330 scopus 로고    scopus 로고
    • Large deformation analysis of functionally graded shells
    • R.A. Arciniega, and J.N. Reddy, Large deformation analysis of functionally graded shells. Int. J. Solids Struct., vol. 44, pp. 2036-2052, 2007.
    • (2007) Int. J. Solids Struct , vol.44 , pp. 2036-2052
    • Arciniega, R.A.1    Reddy, J.N.2
  • 15
    • 67949112682 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded conical, cylindrical and annular shell structures with a four-parameter power-lawdistribution
    • F. Tornabene, Free vibration analysis of functionally graded conical, cylindrical and annular shell structures with a four-parameter power-lawdistribution, Comput.MethodsAppl.Mech. Eng., vol. 198, pp. 2911-2935, 2009.
    • (2009) Comput. Methods Appl.Mech. Eng , vol.198 , pp. 2911-2935
    • Tornabene, F.1
  • 16
    • 67349101563 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded panels and shells of revolution
    • F. Tornabene, and E. Viola, Free vibration analysis of functionally graded panels and shells of revolution. Meccanica, vol. 44, pp. 255-281, 2009.
    • (2009) Meccanica , vol.44 , pp. 255-281
    • Tornabene, F.1    Viola, E.2
  • 17
    • 77953359833 scopus 로고    scopus 로고
    • 2-d differential quadrature solution for vibration analysis of functionally graded conical cylindrical and annular shell structures
    • F. Tornabene, E. Viola, and D.J. Inman, 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical and annular shell structures. J. Sound Vib., vol. 328, pp. 259-290, 2009.
    • (2009) J. Sound Vib , vol.328 , pp. 259-290
    • Tornabene, F.1    Viola, E.2    Inman, D.J.3
  • 18
    • 79956222649 scopus 로고    scopus 로고
    • Fgm and laminated doubly-curved shells and panels of revolution with a free-form meridian: A 2-d gdq solution for free vibrations
    • F. Tornabene, A. Liverani, and G. Caligiana, FGM and laminated doubly-curved shells and panels of revolution with a free-form meridian: A 2-D GDQ solution for free vibrations. Int. J. Mech. Sci., vol. 53, pp. 446-470, 2011.
    • (2011) Int. J. Mech. Sci , vol.53 , pp. 446-470
    • Tornabene, F.1    Liverani, A.2    Caligiana, G.3
  • 19
    • 84872352958 scopus 로고    scopus 로고
    • Free vibration of functionally graded truncated conical shells using the gdq method
    • J.-H. Zhang, and S.-R. Li, Free vibration of functionally graded truncated conical shells using the GDQ method. Mech. Adv. Mater. Struct., vol. 20, pp. 61-73, 2012.
    • (2012) Mech. Adv. Mater. Struct , vol.20 , pp. 61-73
    • Zhang, J.-H.1    Li, S.-R.2
  • 20
    • 84859700637 scopus 로고    scopus 로고
    • The vibration analysis of fgm truncated conical shells resting on two-parameter elastic foundations
    • A.H. Sofiyev, and E. Schnack, The vibration analysis of FGM truncated conical shells resting on two-parameter elastic foundations. Mech. Adv. Mater. Struct., vol. 19, pp. 241-249, 2012.
    • (2012) Mech. Adv. Mater. Struct , vol.19 , pp. 241-249
    • Sofiyev, A.H.1    Schnack, E.2
  • 24
    • 29744441365 scopus 로고    scopus 로고
    • Vibration analysis of damaged circular arches with varying cross-section
    • E. Viola, and F. Tornabene, Vibration analysis of damaged circular arches with varying cross-section. Struct. Integer. Durab., vol. 1, pp. 155-169, 2005.
    • (2005) Struct. Integer. Durab , vol.1 , pp. 155-169
    • Viola, E.1    Tornabene, F.2
  • 25
    • 43049179161 scopus 로고    scopus 로고
    • Vibration analysis of conical shell structures using gdq method
    • E. Viola, and F. Tornabene, Vibration analysis of conical shell structures using GDQ method, Far East J. Appl. Math., vol. 25, pp. 23-39, 2006.
    • (2006) Far East J. Appl. Math , vol.25 , pp. 23-39
    • Viola, E.1    Tornabene, F.2
  • 26
    • 34249023979 scopus 로고    scopus 로고
    • Vibration analysis of spherical structural elements using the gdq method
    • F. Tornabene, and E. Viola, Vibration analysis of spherical structural elements using the GDQ method. Comput. Math. Appl., vol. 53, pp. 1538-1560, 2007.
    • (2007) Comput. Math. Appl , vol.53 , pp. 1538-1560
    • Tornabene, F.1    Viola, E.2
  • 27
    • 33749254764 scopus 로고    scopus 로고
    • Analytical and numerical results for vibration analysis ofmulti-stepped andmulti-damaged circular arches
    • E. Viola, M. Dilena, and F. Tornabene, Analytical and numerical results for vibration analysis ofmulti-stepped andmulti-damaged circular arches. J. Sound Vib., vol. 299, pp. 143-163, 2007.
    • (2007) J. Sound Vib , vol.299 , pp. 143-163
    • Viola, E.1    Dilena, M.2    Tornabene, F.3
  • 28
    • 43049167509 scopus 로고    scopus 로고
    • Nonconservative stability problems via generalized differential quadrature method
    • A. Marzani, F. Tornabene, and E. Viola, Nonconservative stability problems via generalized differential quadrature method. J. Sound Vib., vol. 315, pp. 176-196, 2008.
    • (2008) J. Sound Vib , vol.315 , pp. 176-196
    • Marzani, A.1    Tornabene, F.2    Viola, E.3
  • 29
    • 50549083723 scopus 로고    scopus 로고
    • 2-d solution for free vibrations of parabolic shells using generalized differential quadrature method
    • F. Tornabene, and E. Viola, 2-D solution for free vibrations of parabolic shells using generalized differential quadrature method. Eur. J. Mech. A/Solids, vol. 27, pp. 1001-1025, 2008.
    • (2008) Eur. J. Mech. A/Solids , vol.27 , pp. 1001-1025
    • Tornabene, F.1    Viola, E.2
  • 30
    • 79251621841 scopus 로고    scopus 로고
    • Critical flow speeds of pipes conveying fluid by the generalized differential quadrature method
    • F. Tornabene, A. Marzani, E. Viola, and I. Elishakoff, Critical flow speeds of pipes conveying fluid by the generalized differential quadrature method, Adv. Theor. Appl. Mech., vol. 3, pp. 121-138, 2010.
    • (2010) Adv. Theor. Appl. Mech , vol.3 , pp. 121-138
    • Tornabene, F.1    Marzani, A.2    Viola, E.3    Elishakoff, I.4
  • 31
    • 78650616095 scopus 로고    scopus 로고
    • Free vibrations of laminated composite doubly-curved shells and panels of revolution via the gdqmethod
    • F. Tornabene, Free vibrations of laminated composite doubly-curved shells and panels of revolution via the GDQmethod. Comput. Methods Appl. Mech. Eng., vol. 200, pp. 931-952, 2011.
    • (2011) Comput. Methods Appl. Mech. Eng , vol.200 , pp. 931-952
    • Tornabene, F.1
  • 32
    • 79955484706 scopus 로고    scopus 로고
    • 2-d gdq solution for free vibrations of anisotropic doubly-curved shells and panels of revolution
    • F. Tornabene, 2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution. Compos. Struct., vol. 93, pp. 1854-1876, 2011.
    • (2011) Compos. Struct , vol.93 , pp. 1854-1876
    • Tornabene, F.1
  • 33
    • 80053052678 scopus 로고    scopus 로고
    • Free vibrations of anisotropic doubly-curved shells and panels of revolution with a free-form meridian resting on winkler-pasternak elastic foundations
    • F. Tornabene, Free vibrations of anisotropic doubly-curved shells and panels of revolution with a free-form meridian resting on Winkler-Pasternak elastic foundations. Compos. Struct., vol. 94, pp. 186-206, 2011.
    • (2011) Compos. Struct , vol.94 , pp. 186-206
    • Tornabene, F.1
  • 34
    • 84859461259 scopus 로고    scopus 로고
    • Laminated composite rectangular and annular plates: A gdq solution for static analysis with a posteriori shear and normal stress recovery
    • F. Tornabene, A. Liverani, and G. Caligiana, Laminated composite rectangular and annular plates: A GDQ solution for static analysis with a posteriori shear and normal stress recovery. Composites Part B, vol. 43, pp. 1847-1872, 2012.
    • (2012) Composites Part B , vol.43 , pp. 1847-1872
    • Tornabene, F.1    Liverani, A.2    Caligiana, G.3
  • 35
    • 84863300982 scopus 로고    scopus 로고
    • Static analysis of laminated composite curved shells and panels of revolution with a posteriori shear and normal stress recovery using generalized differential quadrature method
    • F. Tornabene, A. Liverani, and G. Caligiana, Static analysis of laminated composite curved shells and panels of revolution with a posteriori shear and normal stress recovery using generalized differential quadrature method. Int. J. Mech. Sci., vol. 61, pp. 71-87, 2012.
    • (2012) Int. J. Mech. Sci , vol.61 , pp. 71-87
    • Tornabene, F.1    Liverani, A.2    Caligiana, G.3
  • 36
    • 84957416855 scopus 로고    scopus 로고
    • General anisotropic doubly-curved shell theory: Adifferential quadrature solution for free vibrations of shells and panels of revolution with a free-form meridian
    • F. Tornabene, A. Liverani, and G. Caligiana, General anisotropic doubly-curved shell theory: Adifferential quadrature solution for free vibrations of shells and panels of revolution with a free-form meridian. J. Sound Vib., vol. 331, pp. 4848-4869, 2012.
    • (2012) J. Sound Vib , vol.331 , pp. 4848-4869
    • Tornabene, F.1    Liverani, A.2    Caligiana, G.3
  • 37
    • 84868136481 scopus 로고    scopus 로고
    • General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels
    • E. Viola, F. Tornabene, and N. Fantuzzi, General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels. Compos. Struct., vol. 95, pp. 639-666, 2013.
    • (2013) Compos. Struct , vol.95 , pp. 639-666
    • Viola, E.1    Tornabene, F.2    Fantuzzi, N.3
  • 38
    • 84875774683 scopus 로고    scopus 로고
    • Static analysis of completely doubly-curved laminated shells and panels using general higherorder shear deformation theories
    • E. Viola, F. Tornabene, and N. Fantuzzi, Static analysis of completely doubly-curved laminated shells and panels using general higherorder shear deformation theories. Compos. Struct., vol. 101, pp. 59-93, 2013.
    • (2013) Compos. Struct , vol.101 , pp. 59-93
    • Viola, E.1    Tornabene, F.2    Fantuzzi, N.3
  • 39
    • 84876468980 scopus 로고    scopus 로고
    • Static analysis of functionally graded doubly-curved shells and panels of revolution
    • F. Tornabene, and E. Viola, Static analysis of functionally graded doubly-curved shells and panels of revolution, Meccanica, vol. 48, pp. 901-930, 2013.
    • (2013) Meccanica , vol.48 , pp. 901-930
    • Tornabene, F.1    Viola, E.2
  • 40
    • 84878655097 scopus 로고    scopus 로고
    • Free-form laminated doubly-curved shells and panels of revolution resting on winkler-pasternak elastic foundations: A 2-d gdq solution for static and free vibration analysis
    • F. Tornabene, and A. Ceruti, Free-form laminated doubly-curved shells and panels of revolution resting on Winkler-Pasternak elastic foundations: A 2-D GDQ solution for static and free vibration analysis, World J. Mech., vol. 3, pp. 1-25, 2013.
    • (2013) World J. Mech , vol.3 , pp. 1-25
    • Tornabene, F.1    Ceruti, A.2
  • 41
    • 84878648500 scopus 로고    scopus 로고
    • Mixed static and dynamic optimization of four-parameter functionally graded completely doubly-curved and degenerate shells and panels using gdq method
    • F. Tornabene, and A. Ceruti, Mixed static and dynamic optimization of four-parameter functionally graded completely doubly-curved and degenerate shells and panels using GDQ method, Math. Probl. Eng., vol. 2013, 33 pp., 2013. DOI: 10.1155/2013/867079.
    • (2013) Math. Probl. Eng , vol.33 , pp. 2013
    • Tornabene, F.1    Ceruti, A.2
  • 42
    • 84879456569 scopus 로고    scopus 로고
    • General higher-order equivalent single layer theory for free vibrations of doubly-curved laminated composite shells and panels
    • F. Tornabene, E.Viola, andN. Fantuzzi, General higher-order equivalent single layer theory for free vibrations of doubly-curved laminated composite shells and panels. Compos. Struct., vol. 104, pp. 94-117, 2013.
    • (2013) Compos. Struct , vol.104 , pp. 94-117
    • Tornabene, F.1    Viola, E.2    Fantuzzi, N.3
  • 43
    • 84874287270 scopus 로고    scopus 로고
    • A 3d discrete layerdifferential quadrature free vibration of multi-layered fg annular plates in thermal environment
    • P. Malekzadeh, and N. Safaeian Hamzehkolaei, A 3D discrete layerdifferential quadrature free vibration of multi-layered FG annular plates in thermal environment. Mech. Adv.Mater. Struct., vol. 20, pp. 316-330, 2013.
    • (2013) Mech. Adv.Mater. Struct , vol.20 , pp. 316-330
    • Malekzadeh, P.1    Safaeian Hamzehkolaei, N.2
  • 44
    • 84883078653 scopus 로고    scopus 로고
    • Radial basis function method applied to doubly-curved laminated composite shells and panels with a general higher-order equivalent single layer theory
    • F. Tornabene, N. Fantuzzi, E. Viola, and A.J.M. Ferreira, Radial basis function method applied to doubly-curved laminated composite shells and panels with a general higher-order equivalent single layer theory. Composites Part B, vol. 55, pp. 642-659, 2013.
    • (2013) Composites Part B , vol.55 , pp. 642-659
    • Tornabene, F.1    Fantuzzi, N.2    Viola, E.3    Ferreira, A.J.M.4
  • 45
    • 84885619885 scopus 로고    scopus 로고
    • Analysis of sandwich plates by generalized differential quadrature method
    • article ID 964367
    • A.J.M. Ferreira, E. Viola, F. Tornabene, N. Fantuzzi, and A.M. Zenkour, Analysis of sandwich plates by generalized differential quadrature method, Math. Probl. Eng., vol. 13, article ID 964367, 12 pp., 2013. DOI: 10.1155/2013/964367.
    • (2013) Math. Probl. Eng , vol.13 , pp. 12
    • Ferreira, A.J.M.1    Viola, E.2    Tornabene, F.3    Fantuzzi, N.4    Zenkour, A.M.5
  • 46
    • 84890521517 scopus 로고    scopus 로고
    • Fgm and laminated doubly-curved and degenerate shells resting on nonlinear elastic foundation: Agdq solution for static analysis with a posteriori stress and strain recovery
    • F. Tornabene, and J.N. Reddy, FGM and laminated doubly-curved and degenerate shells resting on nonlinear elastic foundation: AGDQ solution for static analysis with a posteriori stress and strain recovery. J. Indian Inst. Sci., vol. 93, no. 4, pp. 635-688, 2013.
    • (2013) J. Indian Inst. Sci , vol.93 , Issue.4 , pp. 635-688
    • Tornabene, F.1    Reddy, J.N.2
  • 47
    • 84888298148 scopus 로고    scopus 로고
    • Winkler-pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels
    • F. Tornabene, N. Fantuzzi, E. Viola, and J.N. Reddy, Winkler-Pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels. Composites Part B, vol. 57, no. 1, pp. 269-296, 2014.
    • (2014) Composites Part B , vol.57 , Issue.1 , pp. 269-296
    • Tornabene, F.1    Fantuzzi, N.2    Viola, E.3    Reddy, J.N.4
  • 48
    • 84889661351 scopus 로고    scopus 로고
    • Static analysis of doubly-curved anisotropic shells and panels using cuf approach differential geometry and differential quadrature method
    • F. Tornabene, N. Fantuzzi, E. Viola, and E. Carrera, Static analysis of doubly-curved anisotropic shells and panels using CUF approach, differential geometry and differential quadrature method. Compos. Struct., vol. 107, no. 1, pp. 675-697, 2014.
    • (2014) Compos. Struct , vol.107 , Issue.1 , pp. 675-697
    • Tornabene, F.1    Fantuzzi, N.2    Viola, E.3    Carrera, E.4
  • 49
    • 84890359719 scopus 로고    scopus 로고
    • Analysis of thick isotropic and cross-ply laminated plates by generalized differential quadrature method and a unified formulation
    • A.J.M. Ferreira, E.Carrera, M.Cinefra, E.Viola, F. Tornabene, N. Fantuzzi, and A.M. Zenkour, Analysis of thick isotropic and cross-ply laminated plates by generalized differential quadrature method and a unified formulation. Composites Part B, vol. 58, no. 1, pp. 544-552, 2014.
    • (2014) Composites Part B , vol.58 , Issue.1 , pp. 544-552
    • Ferreira, A.J.M.1    Carrera, E.2    Cinefra, M.3    Viola, E.4    Tornabene, F.5    Fantuzzi, N.6    Zenkour, A.M.7
  • 50
    • 84898814674 scopus 로고    scopus 로고
    • Static analysis of functionally graded conical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery
    • E. Viola, L. Rossetti, N. Fantuzzi, and F. Tornabene, Static analysis of functionally graded conical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery. Compos. Struct., vol. 112, no. 1, pp. 44-65, 2014.
    • (2014) Compos. Struct , vol.112 , Issue.1 , pp. 44-65
    • Viola, E.1    Rossetti, L.2    Fantuzzi, N.3    Tornabene, F.4
  • 52
    • 0028519099 scopus 로고
    • Static analysis of structures by the quadrature element method (qem)
    • A.G. Striz, W.L. Chen, and C.W. Bert, Static analysis of structures by the quadrature element method (QEM). Int. J. Solids Struct., vol. 31, pp. 2807-2818, 1994.
    • (1994) Int. J. Solids Struct , vol.31 , pp. 2807-2818
    • Striz, A.G.1    Chen, W.L.2    Bert, C.W.3
  • 53
    • 0032108770 scopus 로고    scopus 로고
    • Solution of poisson and laplace equations by quadrilateral quadrature element
    • H.Z. Zhong, and Y.H. He, Solution of Poisson and Laplace equations by quadrilateral quadrature element. Int. J. Solids Struct., vol. 35, pp. 2805-2819, 1998.
    • (1998) Int. J. Solids Struct , vol.35 , pp. 2805-2819
    • Zhong, H.Z.1    He, Y.H.2
  • 54
    • 0034227529 scopus 로고    scopus 로고
    • A generalized differential quadrature element method
    • C.N. Chen, A generalized differential quadrature element method. Comput. Methods Appl. Mech. Eng., vol. 188, pp. 553-566, 2000.
    • (2000) Comput. Methods Appl. Mech. Eng , vol.188 , pp. 553-566
    • Chen, C.N.1
  • 55
    • 0037210526 scopus 로고    scopus 로고
    • Dqem and dqfdm for the analysis of composite twodimensional elasticity problems
    • C.N. Chen, DQEM and DQFDM for the analysis of composite twodimensional elasticity problems. Compos. Struct., vol. 59, pp. 3-13, 2003.
    • (2003) Compos. Struct , vol.59 , pp. 3-13
    • Chen, C.N.1
  • 56
    • 0032156233 scopus 로고    scopus 로고
    • Static analysis of Reissner-mindlin plates by differential quadrature element method
    • F.L. Liu, and K.M. Liew, Static analysis of Reissner-Mindlin plates by differential quadrature element method. J. Appl. Mech., vol. 65, pp. 705-710, 1998.
    • (1998) J. Appl. Mech , vol.65 , pp. 705-710
    • Liu, F.L.1    Liew, K.M.2
  • 57
    • 0031145244 scopus 로고    scopus 로고
    • Free vibration of plates by the high accuracy quadrature element method
    • A.G. Striz, W.L. Chen, and C.W. Bert, Free vibration of plates by the high accuracy quadrature element method. J. SoundVib., vol. 202, pp. 689-702, 1997.
    • (1997) J. SoundVib , vol.202 , pp. 689-702
    • Striz, A.G.1    Chen, W.L.2    Bert, C.W.3
  • 58
    • 0032309605 scopus 로고    scopus 로고
    • Static and free vibrational analysis of rectangular plates by the differential quadrature element method
    • X.W. Wang, Y.L. Wang, and R.B. Chen, Static and free vibrational analysis of rectangular plates by the differential quadrature element method, Commun. Num. Methods Eng., vol. 14, pp. 1133-1141, 1998.
    • (1998) Commun. Num. Methods Eng , vol.14 , pp. 1133-1141
    • Wang, X.W.1    Wang, Y.L.2    Chen, R.B.3
  • 59
    • 84883087535 scopus 로고    scopus 로고
    • Generalized differential quadrature finite element method for cracked composite structures of arbitrary shape
    • E. Viola, F. Tornabene, and N. Fantuzzi, Generalized differential quadrature finite element method for cracked composite structures of arbitrary shape. Compos. Struct., vol. 106, pp. 815-834, 2013.
    • (2013) Compos. Struct , vol.106 , pp. 815-834
    • Viola, E.1    Tornabene, F.2    Fantuzzi, N.3
  • 60
    • 84891615164 scopus 로고    scopus 로고
    • Soft core plane state structures under static loads using gdqfem and cell method
    • E. Viola, F. Tornabene, E. Ferretti, and N. Fantuzzi, Soft core plane state structures under static loads using GDQFEM and cell method, CMES, vol. 94, no. 4, pp. 301-329, 2013.
    • (2013) CMES , vol.94 , Issue.4 , pp. 301-329
    • Viola, E.1    Tornabene, F.2    Ferretti, E.3    Fantuzzi, N.4
  • 61
    • 84891610206 scopus 로고    scopus 로고
    • On static analysis of composite plane state structures via gdqfem and cell method
    • E. Viola, F. Tornabene, E. Ferretti, and N. Fantuzzi, On static analysis of composite plane state structures via GDQFEM and cell method, CMES, vol. 94, no. 5, pp. 421-458, 2013.
    • (2013) CMES , vol.94 , Issue.5 , pp. 421-458
    • Viola, E.1    Tornabene, F.2    Ferretti, E.3    Fantuzzi, N.4
  • 62
    • 84891595676 scopus 로고    scopus 로고
    • Gdqfemnumerical simulations of continuousmedia with cracks and discontinuities
    • E.Viola, F. Tornabene, E. Ferretti, and N. Fantuzzi, GDQFEMnumerical simulations of continuousmedia with cracks and discontinuities, CMES, vol. 94, no. 4, pp. 331-369, 2013.
    • (2013) CMES , vol.94 , Issue.4 , pp. 331-369
    • Viola, E.1    Tornabene, F.2    Ferretti, E.3    Fantuzzi, N.4
  • 63
    • 84893055481 scopus 로고    scopus 로고
    • Generalized differential quadrature finite element method for vibration analysis of arbitrarily shaped membranes
    • N. Fantuzzi, F. Tornabene, and E. Viola, Generalized differential quadrature finite element method for vibration analysis of arbitrarily shaped membranes. Int. J. Mech. Sci., vol. 79, pp. 216-251, 2014.
    • (2014) Int. J. Mech. Sci , vol.79 , pp. 216-251
    • Fantuzzi, N.1    Tornabene, F.2    Viola, E.3
  • 64
    • 84904539387 scopus 로고    scopus 로고
    • Strong formulation finite element method for arbitrarily shaped laminated plates-i, theoretical analysis, adv
    • N. Fantuzzi, and F. Tornabene, Strong formulation finite element method for arbitrarily shaped laminated plates-I, Theoretical analysis, Adv. Aircraft Space. Sci., vol. 1, no. 2, pp. 125-143, 2014.
    • (2014) Aircraft Space. Sci , vol.1 , Issue.2 , pp. 125-143
    • Fantuzzi, N.1    Tornabene, F.2
  • 65
    • 85027367155 scopus 로고    scopus 로고
    • Strong formulation finite element method for arbitrarily shaped laminated plates-II, numerical analysis, adv
    • N. Fantuzzi, and F. Tornabene, Strong formulation finite element method for arbitrarily shaped laminated plates-II, Numerical analysis, Adv. Aircraft Space. Sci., vol. 1, no. 2, pp. 145-175, 2014.
    • (2014) Aircraft Space. Sci , vol.1 , Issue.2 , pp. 145-175
    • Fantuzzi, N.1    Tornabene, F.2


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