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Volumn 193, Issue 45-47, 2004, Pages 4781-4796

A semi-analytical DQEM for free vibration analysis of thick plates with two opposite edges simply supported

Author keywords

DQEM; Semi analytic; Thick plates; Vibration

Indexed keywords

ALGORITHMS; DECOMPOSITION; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; STABILITY; VIBRATION MEASUREMENT;

EID: 6444234092     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.05.005     Document Type: Article
Times cited : (48)

References (37)
  • 1
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • Leissa A.W. The free vibration of rectangular plates J. Sound Vib. 31 1973 257-293
    • (1973) J. Sound Vib. , vol.31 , pp. 257-293
    • Leissa, A.W.1
  • 2
    • 58149324188 scopus 로고
    • Research on thick plate vibration: A literature survey
    • Liew K.M. Xiang Y. Kitipornchai S. Research on thick plate vibration: a literature survey J. Sound Vib. 180 1995 163-176
    • (1995) J. Sound Vib. , vol.180 , pp. 163-176
    • Liew, K.M.1    Xiang, Y.2    Kitipornchai, S.3
  • 3
    • 0002972062 scopus 로고    scopus 로고
    • Accurate free vibration analysis of completely free rectangular Mindlin plates using the supper position method
    • Gorman D.J. Ding W. Accurate free vibration analysis of completely free rectangular Mindlin plates using the supper position method J. Sound Vib. 189 1996 341-353
    • (1996) J. Sound Vib. , vol.189 , pp. 341-353
    • Gorman, D.J.1    Ding, W.2
  • 4
    • 0031554388 scopus 로고    scopus 로고
    • Accurate free vibration analysis of shear-deformable plates with torsional elastic edge support
    • Gorman D.J. Accurate free vibration analysis of shear-deformable plates with torsional elastic edge support J. Sound Vib. 203 1997 209-218
    • (1997) J. Sound Vib. , vol.203 , pp. 209-218
    • Gorman, D.J.1
  • 5
    • 0031248487 scopus 로고    scopus 로고
    • Free vibration analysis of Mindlin plates with uniform elastic edge support by the supper position method
    • Gorman D.J. Free vibration analysis of Mindlin plates with uniform elastic edge support by the supper position method J. Sound Vib. 207 1997 335-350
    • (1997) J. Sound Vib. , vol.207 , pp. 335-350
    • Gorman, D.J.1
  • 6
    • 0000642568 scopus 로고    scopus 로고
    • Free vibration analysis of rectangular plates with variable thickness
    • Sakiyama T. Huang M. Free vibration analysis of rectangular plates with variable thickness J. Sound Vib. 216 1998 379-397
    • (1998) J. Sound Vib. , vol.216 , pp. 379-397
    • Sakiyama, T.1    Huang, M.2
  • 7
    • 0033683466 scopus 로고    scopus 로고
    • Vibration and Stability of thick plates on elastic foundations
    • Matsunaga H. Vibration and Stability of thick plates on elastic foundations J. Engrg. Mech. 126 2000 27-34
    • (2000) J. Engrg. Mech. , vol.126 , pp. 27-34
    • Matsunaga, H.1
  • 8
    • 0034245405 scopus 로고    scopus 로고
    • Free vibration of elastically restrained flexural-shear plates with varying cross-section
    • Li Q.S. Free vibration of elastically restrained flexural-shear plates with varying cross-section J. Sound Vib. 235 2000 63-68
    • (2000) J. Sound Vib. , vol.235 , pp. 63-68
    • Li, Q.S.1
  • 9
    • 0030145762 scopus 로고    scopus 로고
    • Free vibration analysis of rectangular Mindlin plates with elastic restraints uniformly distributed along the edges
    • Saha K.N. Kar R.C. Datta P.K. Free vibration analysis of rectangular Mindlin plates with elastic restraints uniformly distributed along the edges J. Sound Vib. 192 1996 885-904
    • (1996) J. Sound Vib. , vol.192 , pp. 885-904
    • Saha, K.N.1    Kar, R.C.2    Datta, P.K.3
  • 10
    • 0002087143 scopus 로고    scopus 로고
    • Vibration analysis of rectangular Mindlin plates resting on elastic edges supports
    • Xiang Y. Liew K.M. Kitipornchai S. Vibration analysis of rectangular Mindlin plates resting on elastic edges supports J. Sound Vib. 204 1997 1-16
    • (1997) J. Sound Vib. , vol.204 , pp. 1-16
    • Xiang, Y.1    Liew, K.M.2    Kitipornchai, S.3
  • 11
    • 6444231881 scopus 로고    scopus 로고
    • Vibration of thick plates using finite strip-elements
    • Petrolito Golley B.W. Vibration of thick plates using finite strip-elements ANZIAM J. 42E 2000 C1137-C1155
    • (2000) ANZIAM J. , vol.42 E
    • Petrolito, A.1    Golley, B.W.2
  • 12
    • 0035859165 scopus 로고    scopus 로고
    • Vibrations of Mindlin rectangular plates with elastically restrained edges using static Timoshenko beam functions with the Rayleigh-Ritz method
    • Zhou D. Vibrations of Mindlin rectangular plates with elastically restrained edges using static Timoshenko beam functions with the Rayleigh-Ritz method Internat. J. Solids Struct. 38 2001 5565-5580
    • (2001) Internat. J. Solids Struct. , vol.38 , pp. 5565-5580
    • Zhou, D.1
  • 13
    • 0036899325 scopus 로고    scopus 로고
    • Three-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz method
    • Zhou D. Cheung Y.K. Au F.T.K. Lo S.H. Three-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz method Internat. J. Solids Struct. 39 2002 6339-6353
    • (2002) Internat. J. Solids Struct. , vol.39 , pp. 6339-6353
    • Zhou, D.1    Cheung, Y.K.2    Au, F.T.K.3    Lo, S.H.4
  • 14
    • 0037468198 scopus 로고    scopus 로고
    • Vibration of tapered Mindlin plates in terms of static Timoshenko beam functions
    • Cheung Y.K. Zhou D. Vibration of tapered Mindlin plates in terms of static Timoshenko beam functions J. Sound Vib. 260 2003 693-709
    • (2003) J. Sound Vib. , vol.260 , pp. 693-709
    • Cheung, Y.K.1    Zhou, D.2
  • 15
    • 0037410928 scopus 로고    scopus 로고
    • Vibration of moderately thick square orthotropic stepped thickness plates
    • Hull P.V. Buchanan G.R. Vibration of moderately thick square orthotropic stepped thickness plates Appl. Acoust. 64 2003 753-763
    • (2003) Appl. Acoust. , vol.64 , pp. 753-763
    • Hull, P.V.1    Buchanan, G.R.2
  • 16
    • 0024014784 scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • Bert C.W. Jang S.K. Striz A.G. Two new approximate methods for analyzing free vibration of structural components AIAA J. 26 1988 612-618
    • (1988) AIAA J. , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 17
    • 0030164867 scopus 로고    scopus 로고
    • Semi-analytical differential quadrature method for free vibration analysis of rectangular plates
    • Bert C.W. Malik M. Semi-analytical differential quadrature method for free vibration analysis of rectangular plates AIAA J. 193 1996 927-933
    • (1996) AIAA J. , vol.193 , pp. 927-933
    • Bert, C.W.1    Malik, M.2
  • 18
    • 0030084898 scopus 로고    scopus 로고
    • Free vibration analysis of tapered rectangular plates by differential quadrature method: A semi-analytical approaches
    • Bert C.W. Malik M. Free vibration analysis of tapered rectangular plates by differential quadrature method: a semi-analytical approaches J. Sound Vib. 190 1996 41-63
    • (1996) J. Sound Vib. , vol.190 , pp. 41-63
    • Bert, C.W.1    Malik, M.2
  • 19
    • 0030164867 scopus 로고    scopus 로고
    • On the relative effects of transverse shear deformation and rotary inertia on the free vibration of symmetric cross-ply laminated plates
    • Bert C.W. Malik M. On the relative effects of transverse shear deformation and rotary inertia on the free vibration of symmetric cross-ply laminated plates J. Sound Vib. 193 1996 927-933
    • (1996) J. Sound Vib. , vol.193 , pp. 927-933
    • Bert, C.W.1    Malik, M.2
  • 20
    • 0031279013 scopus 로고    scopus 로고
    • Differential quadrature method: A powerful new technique for analysis of composite structures
    • Bert C.W. Malik M. Differential quadrature method: a powerful new technique for analysis of composite structures Composite Struct. 39 1997 179-189
    • (1997) Composite Struct. , vol.39 , pp. 179-189
    • Bert, C.W.1    Malik, M.2
  • 21
    • 0031510399 scopus 로고    scopus 로고
    • On the buckling characteristics of symmetrically laminated cross-ply plates
    • Bert C.W. Malik M. On the buckling characteristics of symmetrically laminated cross-ply plates Mech. Comput. Mater. Struct. 4 1997 39-67
    • (1997) Mech. Comput. Mater. Struct. , vol.4 , pp. 39-67
    • Bert, C.W.1    Malik, M.2
  • 22
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert C.W. Malik M. Differential quadrature method in computational mechanics: a review Appl. Mech. Rev. 49 1996 1-27
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 23
    • 0036747036 scopus 로고    scopus 로고
    • Static and stability analysis of arbitrary straight-sided quadrilateral thin plates by DQM
    • Karami G. Malekzadeh P. Static and stability analysis of arbitrary straight-sided quadrilateral thin plates by DQM Internat. J. Solids Struct. 39 2002 4927-4947
    • (2002) Internat. J. Solids Struct. , vol.39 , pp. 4927-4947
    • Karami, G.1    Malekzadeh, P.2
  • 24
    • 0037036339 scopus 로고    scopus 로고
    • A new differential quadrature methodology for beam analysis and the associated DQEM
    • Karami G. Malekzadeh P. A new differential quadrature methodology for beam analysis and the associated DQEM Comput. Methods Appl. Mech. Engrg. 19 2002 3509-3526
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.19 , pp. 3509-3526
    • Karami, G.1    Malekzadeh, P.2
  • 25
    • 0037436241 scopus 로고    scopus 로고
    • Application of a new differential quadrature methodology for free vibration analysis of plates
    • Karami G. Malekzadeh P. Application of a new differential quadrature methodology for free vibration analysis of plates Internat. J. Numer. Methods Engrg. 56 2003 847-861
    • (2003) Internat. J. Numer. Methods Engrg. , vol.56 , pp. 847-861
    • Karami, G.1    Malekzadeh, P.2
  • 26
    • 0038284133 scopus 로고    scopus 로고
    • An efficient differential quadrature methodology for free vibration analysis of arbitrary straight-sided quadrilateral thin plates
    • Karami G. Malekzadeh P. An efficient differential quadrature methodology for free vibration analysis of arbitrary straight-sided quadrilateral thin plates J. Sound Vib. 263 2003 415-442
    • (2003) J. Sound Vib. , vol.263 , pp. 415-442
    • Karami, G.1    Malekzadeh, P.2
  • 27
    • 6444229808 scopus 로고    scopus 로고
    • In plane free vibration analysis o circular arches with varying cross sections
    • in press
    • P. Malekzadeh, G. Karami, In plane free vibration analysis o circular arches with varying cross sections, J. Sound Vib., in press
    • J. Sound Vib.
    • Malekzadeh, P.1    Karami, G.2
  • 28
    • 0141572196 scopus 로고    scopus 로고
    • Out-of plane analysis of circular arches by DQM
    • Malekzadeh P. Karami G. Out-of plane analysis of circular arches by DQM Internat. J. Solids Struct. 40 2003 6527-6545
    • (2003) Internat. J. Solids Struct. , vol.40 , pp. 6527-6545
    • Malekzadeh, P.1    Karami, G.2
  • 29
    • 0141853928 scopus 로고    scopus 로고
    • DQEM for free vibration analysis of Timoshenko beams on elastic foundations
    • Malekzadeh P. Karami G. Farid M. DQEM for free vibration analysis of Timoshenko beams on elastic foundations J. Comput. Mech. 31 2003 219-228
    • (2003) J. Comput. Mech. , vol.31 , pp. 219-228
    • Malekzadeh, P.1    Karami, G.2    Farid, M.3
  • 30
    • 0033750186 scopus 로고    scopus 로고
    • Differential quadrature method for vibration analysis of shear deformable annular sector plates
    • Liew K.M. Liu F. Differential quadrature method for vibration analysis of shear deformable annular sector plates J. Sound Vib. 230 2000 335-356
    • (2000) J. Sound Vib. , vol.230 , pp. 335-356
    • Liew, K.M.1    Liu, F.2
  • 31
    • 0037981478 scopus 로고    scopus 로고
    • Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method
    • Liew K.M. Huang Y.Q. Reddy J.N. Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method Comput. Methods Appl. Mech. Engrg. 192 2003 2203-2222
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 2203-2222
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 32
    • 0032633986 scopus 로고    scopus 로고
    • Vibration analysis of discontinuous Mindlin plates by the differential quadrature element method
    • Liu F.L. Liew K.M. Vibration analysis of discontinuous Mindlin plates by the differential quadrature element method J. Vib Acoust. 121 1999 204-208
    • (1999) J. Vib Acoust. , vol.121 , pp. 204-208
    • Liu, F.L.1    Liew, K.M.2
  • 33
    • 0034466097 scopus 로고    scopus 로고
    • Rectangular thick plates on Winkler foundations: Differential quadrature element solution
    • Liu F.L. Rectangular thick plates on Winkler foundations: differential quadrature element solution Internat. J. Solids Struct. 37 2000 1743-1763
    • (2000) Internat. J. Solids Struct. , vol.37 , pp. 1743-1763
    • Liu, F.L.1
  • 34
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C. Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations Internat. J. Numer. Methods Fluids 15 1992 791-791
    • (1992) Internat. J. Numer. Methods Fluids , vol.15 , pp. 791
    • Shu, C.1    Richards, B.E.2
  • 35
    • 0027907140 scopus 로고
    • Vibration of rectangular Mindlin plates with tapered thickness by the spline strip method
    • Mizusawa T. Vibration of rectangular Mindlin plates with tapered thickness by the spline strip method Comput. Struct. 46 1993 451-463
    • (1993) Comput. Struct. , vol.46 , pp. 451-463
    • Mizusawa, T.1
  • 36
    • 0034778185 scopus 로고    scopus 로고
    • Analysis of plate resting on elastic supports and elastic foundation by finite strip method
    • Huang M.-H. Thambiratnam D.P. Analysis of plate resting on elastic supports and elastic foundation by finite strip method Comput. Struct. 79 2001 2547-2557
    • (2001) Comput. Struct. , vol.79 , pp. 2547-2557
    • Huang, M.-H.1    Thambiratnam, D.P.2
  • 37
    • 0024281167 scopus 로고
    • Simulation of classical edge conditions by finite elastic restraints in the vibration analysis of plates
    • Bapat V. Venkatramani N. Suryanarayan S. Simulation of classical edge conditions by finite elastic restraints in the vibration analysis of plates J. Sound Vib. 120 1988 127-140
    • (1988) J. Sound Vib. , vol.120 , pp. 127-140
    • Bapat, V.1    Venkatramani, N.2    Suryanarayan, S.3


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