메뉴 건너뛰기




Volumn 47, Issue 1, 2005, Pages 63-81

Free vibration analysis of arbitrary shaped thick plates by differential cubature method

Author keywords

Differential cubature method; Free vibration; Natural frequency; Thick plate with arbitrary shape

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; NATURAL FREQUENCIES; NUMERICAL ANALYSIS; PROBLEM SOLVING; THICKNESS MEASUREMENT; VIBRATION MEASUREMENT;

EID: 13444309204     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2004.12.003     Document Type: Article
Times cited : (38)

References (25)
  • 1
    • 0003102712 scopus 로고
    • Recent research in plate vibration classical theory
    • A.W. Leissa Recent research in plate vibration classical theory The Shock and Vibration Digest 9 1977 13 24
    • (1977) The Shock and Vibration Digest , vol.9 , pp. 13-24
    • Leissa, A.W.1
  • 2
    • 0002669431 scopus 로고
    • Recent research in plate vibration 1981-1985, part I: Classical theory
    • A.W. Leissa Recent research in plate vibration 1981-1985, part I classical theory The Shock and Vibration Digest 19 1987 11 18
    • (1987) The Shock and Vibration Digest , vol.19 , pp. 11-18
    • Leissa, A.W.1
  • 3
    • 0002277941 scopus 로고
    • Plate vibration research 1976-1980: Classical theory
    • A.W. Leissa Plate vibration research 1976-1980 classical theory The Shock and Vibration Digest 13 1981 11 12
    • (1981) The Shock and Vibration Digest , vol.13 , pp. 11-12
    • Leissa, A.W.1
  • 5
    • 0028498244 scopus 로고
    • Solving multivariable mathematical models by the quadrature and cubature methods
    • F. Civan Solving multivariable mathematical models by the quadrature and cubature methods Numerical Method for Partial Differential Equations 10 1994 545 567
    • (1994) Numerical Method for Partial Differential Equations , vol.10 , pp. 545-567
    • Civan, F.1
  • 6
    • 0031077934 scopus 로고    scopus 로고
    • Differential cubature method: A solution technique for Kirchhoff plates of arbitrary shape
    • K.M. Liew, and F.L. Liu Differential cubature method a solution technique for Kirchhoff plates of arbitrary shape Computer Methods in Applied Mechanics and Engineering 13 1997 73 81
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.13 , pp. 73-81
    • Liew, K.M.1    Liu, F.L.2
  • 7
    • 0032184172 scopus 로고    scopus 로고
    • Differential cubature method for static solutions of arbitrary shaped thick plates
    • F.L. Liu, and K.M. Liew Differential cubature method for static solutions of arbitrary shaped thick plates International Journal of Solids and Structures 35 28-29 1998 3655 3674
    • (1998) International Journal of Solids and Structures , vol.35 , Issue.28-29 , pp. 3655-3674
    • Liu, F.L.1    Liew, K.M.2
  • 8
    • 0042196366 scopus 로고    scopus 로고
    • Differential cubature method for buckling analysis of arbitrary quadralateral thick plates
    • Lanhe Wu, and Wenjie Feng Differential cubature method for buckling analysis of arbitrary quadralateral thick plates Structural Engineering and Mechanics 16 3 2003 259 274
    • (2003) Structural Engineering and Mechanics , vol.16 , Issue.3 , pp. 259-274
    • Wu, L.1    Feng, W.2
  • 9
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear on flexural motion of isotropic, elastic plates
    • R.D. Mindlin Influence of rotary inertia and shear on flexural motion of isotropic, elastic plates ASME Journal of Applied Mechanics 18 1951 31 38
    • (1951) ASME Journal of Applied Mechanics , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 12
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • A.W. Leissa The free vibration of rectangular plates Journal of Sound and Vibration 31 2 1973 257 293
    • (1973) Journal of Sound and Vibration , vol.31 , Issue.2 , pp. 257-293
    • Leissa, A.W.1
  • 13
    • 0000800590 scopus 로고    scopus 로고
    • Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method
    • F.L. Liu, and K.M. Liew Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method Journal of Sound and Vibration 225 5 1999 915 934
    • (1999) Journal of Sound and Vibration , vol.225 , Issue.5 , pp. 915-934
    • Liu, F.L.1    Liew, K.M.2
  • 15
    • 0025671710 scopus 로고
    • Free vibration analysis of rectangular plates using orthogonal plate function
    • K.M. Liew, K.Y. Lam, and S.T. Chow Free vibration analysis of rectangular plates using orthogonal plate function Computers and Structures 34 1 1990 79 85
    • (1990) Computers and Structures , vol.34 , Issue.1 , pp. 79-85
    • Liew, K.M.1    Lam, K.Y.2    Chow, S.T.3
  • 16
    • 0027907850 scopus 로고
    • The transverse vibration of thick rectangular plates - I: Comprehensive sets of boundary conditions
    • K.M. Liew, Y. Xiang, and S. Kitipornchai The transverse vibration of thick rectangular plates - I comprehensive sets of boundary conditions Computers and Structures 49 1 1993 1 29
    • (1993) Computers and Structures , vol.49 , Issue.1 , pp. 1-29
    • Liew, K.M.1    Xiang, Y.2    Kitipornchai, S.3
  • 17
    • 0032690274 scopus 로고    scopus 로고
    • Three-dimensional elasticity solutions for free vibrations of circular plates: A polynomials-Ritz analysis
    • K.M. Liew, and B. Yang Three-dimensional elasticity solutions for free vibrations of circular plates a polynomials-Ritz analysis Computational Methods in Applied Mechanics and Engineering 175 1999 189 201
    • (1999) Computational Methods in Applied Mechanics and Engineering , vol.175 , pp. 189-201
    • Liew, K.M.1    Yang, B.2
  • 18
    • 0025406059 scopus 로고
    • Exact solutions for axisymmetric vibration of laminated circular plates
    • J.R. Fan, and J.Q. Ye Exact solutions for axisymmetric vibration of laminated circular plates Journal of Engineering Mechanics 116 4 1990 920 927
    • (1990) Journal of Engineering Mechanics , vol.116 , Issue.4 , pp. 920-927
    • Fan, J.R.1    Ye, J.Q.2
  • 19
    • 0031552985 scopus 로고    scopus 로고
    • Vibration analysis of circular Mindlin plates using the differential quadrature method
    • K.M. Liew, J.B. Han, and Z.M. Xiao Vibration analysis of circular Mindlin plates using the differential quadrature method Journal of Sound and Vibration 205 1997 617 630
    • (1997) Journal of Sound and Vibration , vol.205 , pp. 617-630
    • Liew, K.M.1    Han, J.B.2    Xiao, Z.M.3
  • 20
    • 0030567894 scopus 로고    scopus 로고
    • Natural frequencies of thick arbitrary quadrilateral plates using the pb-2 Ritz methods
    • W. Karunasena, K.M. Liew, and F.G.A. AL-Bermani Natural frequencies of thick arbitrary quadrilateral plates using the pb-2 Ritz methods Journal of Sound and Vibration 196 4 1996 371 385
    • (1996) Journal of Sound and Vibration , vol.196 , Issue.4 , pp. 371-385
    • Karunasena, W.1    Liew, K.M.2    Al-Bermani, F.G.A.3
  • 23
    • 0025703076 scopus 로고
    • Application of two dimensional orthogonal plate function to flexural vibration of skew plates
    • K.M. Liew, and K.Y. Lam Application of two dimensional orthogonal plate function to flexural vibration of skew plates Journal of Sound and Vibration 139 2 1990 241 252
    • (1990) Journal of Sound and Vibration , vol.139 , Issue.2 , pp. 241-252
    • Liew, K.M.1    Lam, K.Y.2
  • 24
    • 0030713954 scopus 로고    scopus 로고
    • Free vibrations of shear deformable general triangular plates
    • W. Karunasena, and S. Kitipornchai Free vibrations of shear deformable general triangular plates Journal of Sound and Vibration 199 5 1997 595 613
    • (1997) Journal of Sound and Vibration , vol.199 , Issue.5 , pp. 595-613
    • Karunasena, W.1    Kitipornchai, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.