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Volumn 159, Issue 3-4, 1998, Pages 369-381

Modeling via differential quadrature method: Three-dimensional solutions for rectangular plates

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); STRESS ANALYSIS;

EID: 0032496861     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00279-X     Document Type: Article
Times cited : (65)

References (24)
  • 1
    • 0024014784 scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • [1] C.W. Bert, S.K. Jang and A.G. Striz, 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
  • 2
    • 0000150756 scopus 로고
    • Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature
    • [2] C.W. Bert, S.K. Jang and A.G. Striz, Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature, Comput. Mech. 5 (1989) 217-226.
    • (1989) Comput. Mech. , vol.5 , pp. 217-226
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 4
    • 0020737571 scopus 로고
    • Application of differential quadrature to transport processes
    • [4] F. Civan and C.M. Splepcevich, Application of differential quadrature to transport processes, J. Math. Anal. Appl. 93 (1983) 206-221.
    • (1983) J. Math. Anal. Appl. , vol.93 , pp. 206-221
    • Civan, F.1    Splepcevich, C.M.2
  • 5
    • 0024705632 scopus 로고
    • New insights in solving distributed system of equations by the quadrature method - I. Analysis
    • [5] J.R. Quan and C.T. Chang, New insights in solving distributed system of equations by the quadrature method - I. Analysis. Comput. Chem. Engrg. 13 (1989) 779-788.
    • (1989) Comput. Chem. Engrg. , vol.13 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 6
    • 0024738766 scopus 로고
    • New insights in solving distributed system of equations by the quadrature method - II. Numerical experiments
    • [6] J.R. Quan and C.T. Chang, New insights in solving distributed system of equations by the quadrature method -II. Numerical experiments, Comput. Chem. Engrg. 13 (1989) 1017-1024.
    • (1989) Comput. Chem. Engrg. , vol.13 , pp. 1017-1024
    • Quan, J.R.1    Chang, C.T.2
  • 7
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • [7] C. Shu and B.E. Richards, Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids 15 (1992) 791-798.
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 8
    • 0030192706 scopus 로고    scopus 로고
    • Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility
    • [8] K.M. Liew, J.-B. Han and Z.M. Xao, Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility, Int. J. Solids Struct. 33 (1996) 2647-2658.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 2647-2658
    • Liew, K.M.1    Han, J.-B.2    Xao, Z.M.3
  • 9
    • 0030127739 scopus 로고    scopus 로고
    • Differential quadrature method for Mindlin plates on Winkler foundations
    • [9] K.M. Liew, J.-B. Han, Z.M. Xiao and H. Du, Differential quadrature method for Mindlin plates on Winkler foundations, Int. J. Mech. Sci. 38 (1996) 405-421.
    • (1996) Int. J. Mech. Sci. , vol.38 , pp. 405-421
    • Liew, K.M.1    Han, J.-B.2    Xiao, Z.M.3    Du, H.4
  • 10
    • 0000122214 scopus 로고    scopus 로고
    • Bending analysis of simply supported shear deformable skew plates
    • [10] K.M. Liew and J.-B. Han, Bending analysis of simply supported shear deformable skew plates, J. Engrg. Mech. 123 (1997) 214-221.
    • (1997) J. Engrg. Mech. , vol.123 , pp. 214-221
    • Liew, K.M.1    Han, J.-B.2
  • 11
    • 0031077934 scopus 로고    scopus 로고
    • A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates
    • [11] K.M. Liew and J.-B. Han, A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates, Comm. Numer. Methods Engrg. 13 (1997) 73-81.
    • (1997) Comm. Numer. Methods Engrg. , vol.13 , pp. 73-81
    • Liew, K.M.1    Han, J.-B.2
  • 12
    • 0031069030 scopus 로고    scopus 로고
    • An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates
    • [12] J.-B. Han and K.M. Liew, An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates, Comput. Methods Appl. Mech. Engrg. 141 (1997) 265-280.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.141 , pp. 265-280
    • Han, J.-B.1    Liew, K.M.2
  • 13
    • 0031167220 scopus 로고    scopus 로고
    • Differential cubature method: A solution technique for Kirchhoff plates of arbitrary shape
    • [13] K.M. Liew and F.-L. Liu, Differential cubature method: A solution technique for Kirchhoff plates of arbitrary shape, Comput. Methods Appl. Mech. Engrg. 145 (1997) 1-10.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.145 , pp. 1-10
    • Liew, K.M.1    Liu, F.-L.2
  • 14
    • 0014549903 scopus 로고
    • Flexure of simply supported thick homogeneous and laminated rectangular plates
    • [14] S. Srinivas, A.K. Rao and C.V. Rao, Flexure of simply supported thick homogeneous and laminated rectangular plates, ZAMM 49 (1969) 449-458.
    • (1969) ZAMM , vol.49 , pp. 449-458
    • Srinivas, S.1    Rao, A.K.2    Rao, C.V.3
  • 15
    • 0015602480 scopus 로고
    • Flexure of thick rectangular plates
    • [15] S. Srinivas and A.K. Rao, Flexure of thick rectangular plates, J. Appl. Mech. 39 (1973) 298-299.
    • (1973) J. Appl. Mech. , vol.39 , pp. 298-299
    • Srinivas, S.1    Rao, A.K.2
  • 17
    • 0020718778 scopus 로고
    • Vibration of a free rectangular parallelepiped
    • [17] J.R. Hutchinson and S.D. Zillimer, Vibration of a free rectangular parallelepiped, J. Appl. Mech. 50 (1983) 123-130.
    • (1983) J. Appl. Mech. , vol.50 , pp. 123-130
    • Hutchinson, J.R.1    Zillimer, S.D.2
  • 18
    • 0020765661 scopus 로고
    • On the three-dimensional vibrations of the cantilevered rectangular parallelepiped
    • [18] A.W. Leissa and Z.D. Zhang, On the three-dimensional vibrations of the cantilevered rectangular parallelepiped, J. Acoust. Soc. Am. 73 (1983) 2013-2021.
    • (1983) J. Acoust. Soc. Am. , vol.73 , pp. 2013-2021
    • Leissa, A.W.1    Zhang, Z.D.2
  • 19
    • 0027831392 scopus 로고
    • A continuum three-dimensional vibration analysis of thick rectangular plates
    • [19] K.M. Liew, K.C. Hung and M.K. Lim, A continuum three-dimensional vibration analysis of thick rectangular plates, Int. J. Solids Struct. 30 (1993) 3357-3379.
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 3357-3379
    • Liew, K.M.1    Hung, K.C.2    Lim, M.K.3
  • 20
    • 0028696631 scopus 로고
    • Three-dimensional vibration of rectangular plates: Variance of simple support conditions and influence of inplane inertia
    • [20] K.M. Liew, K.C. Hung and M.K. Lim, Three-dimensional vibration of rectangular plates: Variance of simple support conditions and influence of inplane inertia, Int. J. Solids Struct. 31 (1994) 3233-3247.
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 3233-3247
    • Liew, K.M.1    Hung, K.C.2    Lim, M.K.3
  • 21
    • 0029272169 scopus 로고
    • Free vibration studies on stress-free three-dimensional elastic solids
    • [21] K.M. Liew, K.C. Hung and M.K. Lim, Free vibration studies on stress-free three-dimensional elastic solids, J. Appl. Mech. 62 (1995) 159-165.
    • (1995) J. Appl. Mech. , vol.62 , pp. 159-165
    • Liew, K.M.1    Hung, K.C.2    Lim, M.K.3
  • 22
    • 0000216480 scopus 로고
    • Free vibration of a class of homogeneous isotropic solids
    • [22] P.G. Young and S.M. Dickinson, Free vibration of a class of homogeneous isotropic solids, J. Appl. Mech. 62 (1995) 706-708.
    • (1995) J. Appl. Mech. , vol.62 , pp. 706-708
    • Young, P.G.1    Dickinson, S.M.2
  • 23
    • 0021466557 scopus 로고
    • Differential quadrature for multi-dimensional problems
    • [23] F. Civan and C.M. Sliepcevich, Differential quadrature for multi-dimensional problems, J. Math. Anal. Appl. 101 (1984) 423-443.
    • (1984) J. Math. Anal. Appl. , vol.101 , pp. 423-443
    • Civan, F.1    Sliepcevich, C.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.