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Volumn 81, Issue 16, 2003, Pages 1663-1675

Three-dimensional vibration analysis of thick, circular and annular plates with nonlinear thickness variation

Author keywords

Annular plate; Circular plate; Nonlinear thickness variation; Ritz method; Thick plate; Three dimensional vibration

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; KINETIC ENERGY; POLYNOMIALS; PROBLEM SOLVING; STRAIN; VIBRATIONS (MECHANICAL);

EID: 0037840357     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(03)00168-8     Document Type: Article
Times cited : (43)

References (35)
  • 1
    • 84973010670 scopus 로고
    • Influence of rotatory inertial and shear on flexural motions of isotropic, elastic plates
    • Mindlin R.D. Influence of rotatory inertial and shear on flexural motions of isotropic, elastic plates. J. Appl. Mech. 18:1951;31-38.
    • (1951) J. Appl. Mech. , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 2
    • 85143639667 scopus 로고
    • Axially symmetric flexural vibrations of a circular disk
    • Deresievicz H., Midlin R.D. Axially symmetric flexural vibrations of a circular disk. J. Appl. Mech. 22:1955;86-88.
    • (1955) J. Appl. Mech. , vol.22 , pp. 86-88
    • Deresievicz, H.1    Midlin, R.D.2
  • 3
    • 0018447129 scopus 로고
    • Axisymmetric flexural vibrations of a thick free circular plate
    • Hutchinson J.R. Axisymmetric flexural vibrations of a thick free circular plate. J. Appl. Mech. 46:1979;139-144.
    • (1979) J. Appl. Mech. , vol.46 , pp. 139-144
    • Hutchinson, J.R.1
  • 4
    • 0021497995 scopus 로고
    • Vibrations of thick free circular plates, exact versus approximate solutions
    • Hutchinson J.R. Vibrations of thick free circular plates, exact versus approximate solutions. J. Appl. Mech. 51:1984;581-585.
    • (1984) J. Appl. Mech. , vol.51 , pp. 581-585
    • Hutchinson, J.R.1
  • 5
    • 0003706235 scopus 로고
    • On the vibration of thick annular plates. Refined dynamical theories of beams, plates, and shells and their applications
    • Hutchinson J.R., El-Azhari S.A. On the vibration of thick annular plates. Refined dynamical theories of beams, plates, and shells and their applications. Proc. Euromech-Colloq. 219:1986;102-111.
    • (1986) Proc. Euromech-Colloq. , vol.219 , pp. 102-111
    • Hutchinson, J.R.1    El-Azhari, S.A.2
  • 6
    • 0002879779 scopus 로고    scopus 로고
    • Three-dimensional vibrations of thick circular and annular plates
    • So J., Leissa A.W. Three-dimensional vibrations of thick circular and annular plates. J. Sound Vib. 209:1998;15-41.
    • (1998) J. Sound Vib. , vol.209 , pp. 15-41
    • So, J.1    Leissa, A.W.2
  • 7
    • 0002121918 scopus 로고    scopus 로고
    • Axisymmetric vibration of laminated annular plates composed of transversely isotropic layers
    • Ye J.Q. Axisymmetric vibration of laminated annular plates composed of transversely isotropic layers. J. Sound Vib. 205:1997;250-256.
    • (1997) J. Sound Vib. , vol.205 , pp. 250-256
    • Ye, J.Q.1
  • 8
    • 0032690274 scopus 로고    scopus 로고
    • Three-dimensional elasticity solutions for free vibrations of circular plates: A polynomials-Ritz analysis
    • Liew K.M., Yang B. Three-dimensional elasticity solutions for free vibrations of circular plates: a polynomials-Ritz analysis. Comput. Meth. Appl. Mech. Eng. 175:1999;189-201.
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.175 , pp. 189-201
    • Liew, K.M.1    Yang, B.2
  • 9
    • 0033731426 scopus 로고    scopus 로고
    • Free axisymmetric vibration of laminated transversely isotropic annular plates
    • Ding H.-J., Xu R.-Q. Free axisymmetric vibration of laminated transversely isotropic annular plates. J. Sound Vib. 230(5):2000;1031-1044.
    • (2000) J. Sound Vib. , vol.230 , Issue.5 , pp. 1031-1044
    • Ding, H.-J.1    Xu, R.-Q.2
  • 10
    • 0034514882 scopus 로고    scopus 로고
    • Elasticity solutions for free vibrations of annular plates from three-dimensional analysis
    • Liew K.M., Yang B. Elasticity solutions for free vibrations of annular plates from three-dimensional analysis. Int. J. Solids Struct. 37:2000;7689-7702.
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 7689-7702
    • Liew, K.M.1    Yang, B.2
  • 11
    • 0033728863 scopus 로고    scopus 로고
    • Finite element analysis of three-dimensional vibrations of thick circular and annular plates
    • Liu C.-F., Lee Y.-T. Finite element analysis of three-dimensional vibrations of thick circular and annular plates. J. Sound Vib. 233(1):2000;63-80.
    • (2000) J. Sound Vib. , vol.233 , Issue.1 , pp. 63-80
    • Liu, C.-F.1    Lee, Y.-T.2
  • 12
    • 0033701531 scopus 로고    scopus 로고
    • Axisymmetric vibration analysis of rotating annular plates by a 3D finite element
    • Liu C.-F., Lee J.-F., Lee Y.-T. Axisymmetric vibration analysis of rotating annular plates by a 3D finite element. Int. J. Solids Struct. 37:2000;5813-5827.
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 5813-5827
    • Liu, C.-F.1    Lee, J.-F.2    Lee, Y.-T.3
  • 13
    • 0032203942 scopus 로고    scopus 로고
    • Three-dimensional vibrations of thick, linearly tapered, annular plates
    • Kang J.-H., Leissa A.W. Three-dimensional vibrations of thick, linearly tapered, annular plates. J. Sound Vib. 217(5):1998;927-944.
    • (1998) J. Sound Vib. , vol.217 , Issue.5 , pp. 927-944
    • Kang, J.-H.1    Leissa, A.W.2
  • 14
    • 0003758712 scopus 로고
    • NASA SP 160; US Government Printing Office, [reprinted by The Acoustical Society of America]
    • Leissa AW. Vibration of plates. NASA SP 160; US Government Printing Office, 1969 [reprinted by The Acoustical Society of America, 1993].
    • (1969) Vibration of Plates
    • Leissa, A.W.1
  • 15
    • 0018112882 scopus 로고
    • Recent research in plate vibration, 1973-1976: Complicating effects
    • Leissa A.W. Recent research in plate vibration, 1973-1976: complicating effects. Shock Vib. Dig. 10:1978;21-35.
    • (1978) Shock Vib. Dig. , vol.10 , pp. 21-35
    • Leissa, A.W.1
  • 16
    • 0002277941 scopus 로고
    • Plate vibration research, 1976-1980: Complicating effects
    • Leissa A.W. Plate vibration research, 1976-1980: complicating effects. Shock Vib. Dig. 13:1981;19-36.
    • (1981) Shock Vib. Dig. , vol.13 , pp. 19-36
    • Leissa, A.W.1
  • 17
    • 0023315801 scopus 로고
    • Recent studies in plate vibrations, 1981-1985: Part II - Complicating effects
    • Leissa A.W. Recent studies in plate vibrations, 1981-1985: Part II - complicating effects. Shock Vib. Dig. 19:1987;10-24.
    • (1987) Shock Vib. Dig. , vol.19 , pp. 10-24
    • Leissa, A.W.1
  • 18
    • 0038525045 scopus 로고
    • Transverse vibration of circular and elliptic plates with variable thickness
    • Singh B., Chakraverty S. Transverse vibration of circular and elliptic plates with variable thickness. Indian J. Pure Appl. Math. 22:1991;787-803.
    • (1991) Indian J. Pure Appl. Math. , vol.22 , pp. 787-803
    • Singh, B.1    Chakraverty, S.2
  • 19
    • 0026403713 scopus 로고
    • Transverse vibration of completely free elliptic and circular plates using orthogonal polynomials in the Rayleigh-Ritz method
    • Singh B., Chakraverty S. Transverse vibration of completely free elliptic and circular plates using orthogonal polynomials in the Rayleigh-Ritz method. Int. J. Mech. Sci. 33:1991;741-751.
    • (1991) Int. J. Mech. Sci. , vol.33 , pp. 741-751
    • Singh, B.1    Chakraverty, S.2
  • 20
    • 0026868106 scopus 로고
    • Transverse vibration of circular and elliptic plates with quadratically varying thickness
    • Singh B., Chakraverty S. Transverse vibration of circular and elliptic plates with quadratically varying thickness. Appl. Math. Modell. 16:1992;269-274.
    • (1992) Appl. Math. Modell. , vol.16 , pp. 269-274
    • Singh, B.1    Chakraverty, S.2
  • 21
    • 0027110448 scopus 로고
    • On the use of orthogonal polynomial in the Rayleigh-Ritz method for the study of transverse vibration of elliptic plates
    • Singh B., Chakraverty S. On the use of orthogonal polynomial in the Rayleigh-Ritz method for the study of transverse vibration of elliptic plates. Comput. Struct. 43:1992;439-443.
    • (1992) Comput. Struct. , vol.43 , pp. 439-443
    • Singh, B.1    Chakraverty, S.2
  • 22
    • 0027114773 scopus 로고
    • Transverse vibration of simply supported elliptical and circular plates using boundary characteristic orthogonal polynomials in two variables
    • Singh B., Chakraverty S. Transverse vibration of simply supported elliptical and circular plates using boundary characteristic orthogonal polynomials in two variables. J. Sound Vib. 152:1992;149-155.
    • (1992) J. Sound Vib. , vol.152 , pp. 149-155
    • Singh, B.1    Chakraverty, S.2
  • 23
    • 0028769406 scopus 로고
    • Use of characteristic orthogonal polynomials in two dimensions for the transverse vibration of elliptical and circular plates with variable thickness
    • Singh B., Chakraverty S. Use of characteristic orthogonal polynomials in two dimensions for the transverse vibration of elliptical and circular plates with variable thickness. J. Sound Vib. 173:1994;289-299.
    • (1994) J. Sound Vib. , vol.173 , pp. 289-299
    • Singh, B.1    Chakraverty, S.2
  • 24
    • 0000497984 scopus 로고
    • Axisymmetric vibration of a circular plate with double linear variable thickness
    • Singh B., Saxena V. Axisymmetric vibration of a circular plate with double linear variable thickness. J. Sound Vib. 179(5):1995;879-897.
    • (1995) J. Sound Vib. , vol.179 , Issue.5 , pp. 879-897
    • Singh, B.1    Saxena, V.2
  • 25
    • 0030213741 scopus 로고    scopus 로고
    • Vibrations and elastic stability of thin circular plates with variable profile
    • Gutierrez R.H., Romanelli E., Laura P.A.A. Vibrations and elastic stability of thin circular plates with variable profile. J. Sound Vib. 195(3):1996;391-399.
    • (1996) J. Sound Vib. , vol.195 , Issue.3 , pp. 391-399
    • Gutierrez, R.H.1    Romanelli, E.2    Laura, P.A.A.3
  • 26
    • 0037511087 scopus 로고    scopus 로고
    • Generalized power series solutions of the vibration of classical circular plates with variable thickness
    • Wang J. Generalized power series solutions of the vibration of classical circular plates with variable thickness. J. Sound Vib. 202(4):1997;593-599.
    • (1997) J. Sound Vib. , vol.202 , Issue.4 , pp. 593-599
    • Wang, J.1
  • 27
    • 0032210537 scopus 로고    scopus 로고
    • Transverse vibration of a circular plate with arbitrary thickness variation
    • Singh B., Hassan S.M. Transverse vibration of a circular plate with arbitrary thickness variation. Int. J. Mech. Sci. 40(11):1998;1089-1104.
    • (1998) Int. J. Mech. Sci. , vol.40 , Issue.11 , pp. 1089-1104
    • Singh, B.1    Hassan, S.M.2
  • 28
    • 0033149645 scopus 로고    scopus 로고
    • Application of Maple V to the nonlinear vibration analysis of circular plate with variable thickness
    • Ye Z. Application of Maple V to the nonlinear vibration analysis of circular plate with variable thickness. Comput. Struct. 71:1999;481-488.
    • (1999) Comput. Struct. , vol.71 , pp. 481-488
    • Ye, Z.1
  • 31
    • 0343262489 scopus 로고
    • Über eine neue methode zur lösung gewisser variationsprobleme der mathematischen physik
    • Ritz W. Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik. J. Reine Angew. Math. 135:1909;1-61.
    • (1909) J. Reine Angew. Math. , vol.135 , pp. 1-61
    • Ritz, W.1
  • 32
    • 0005499811 scopus 로고
    • Vibrations of annular plates with linear thickness profiles
    • Ramaiah G.K., Vijaykumar K. Vibrations of annular plates with linear thickness profiles. J. Sound Vib. 40:1975;293-298.
    • (1975) J. Sound Vib. , vol.40 , pp. 293-298
    • Ramaiah, G.K.1    Vijaykumar, K.2
  • 33
    • 85040266580 scopus 로고
    • NASA SP 288; US Government Printing Office, [reprinted by The Acoustical Society of America]
    • Leissa AW. Vibration of shells. NASA SP 288; US Government Printing Office, 1973 [reprinted by The Acoustical Society of America, 1993].
    • (1973) Vibration of Shells
    • Leissa, A.W.1
  • 34
    • 0021483803 scopus 로고
    • Vibrations of completely free shallow shells of rectangular planform
    • Narita Y., Leissa A.W. Vibrations of completely free shallow shells of rectangular planform. J. Sound Vib. 96(2):1984;207-218.
    • (1984) J. Sound Vib. , vol.96 , Issue.2 , pp. 207-218
    • Narita, Y.1    Leissa, A.W.2
  • 35
    • 0025800670 scopus 로고
    • Three-dimensional free vibrations of thick skewed cantilever plates
    • [Errata 149: 539-42]
    • McGee O.G., Leissa A.W. Three-dimensional free vibrations of thick skewed cantilever plates. J. Sound Vib. 144:1991;305-322. [Errata 149: 539-42].
    • (1991) J. Sound Vib. , vol.144 , pp. 305-322
    • McGee, O.G.1    Leissa, A.W.2


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