메뉴 건너뛰기




Volumn 141, Issue 3-4, 1997, Pages 265-280

An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; LINEAR ALGEBRA; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 0031069030     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01115-2     Document Type: Article
Times cited : (68)

References (34)
  • 1
    • 0001581047 scopus 로고
    • Differential quadrature and long term integration
    • R.E. Bellman and J. Casti, Differential quadrature and long term integration, J. Math. Anal. Appl. 34 (1971) 235-238.
    • (1971) J. Math. Anal. Appl. , vol.34 , pp. 235-238
    • Bellman, R.E.1    Casti, J.2
  • 2
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • R.E. Bellman, B.G. Kashef and J. Casti, Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations, J. Comput. Phys. 10 (1972) 40-52.
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.E.1    Kashef, B.G.2    Casti, J.3
  • 4
    • 0020752442 scopus 로고
    • Solution of the Poisson equation by differential quadrature
    • F. Civan and C.M. Sliepcevich, Solution of the Poisson equation by differential quadrature, Int. J. Numer. Methods Engrg. 19 (1983) 711-724.
    • (1983) Int. J. Numer. Methods Engrg. , vol.19 , pp. 711-724
    • Civan, F.1    Sliepcevich, C.M.2
  • 5
    • 0021466557 scopus 로고
    • Differential quadrature for multidimensional problems
    • F. Civan and C.M. Sliepcevich, Differential quadrature for multidimensional 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
  • 6
    • 0020737571 scopus 로고
    • Application of differential quadrature to transport processes
    • F. Civan and C.M. Sliepcevich, 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    Sliepcevich, C.M.2
  • 7
    • 0015560904 scopus 로고
    • Computational considerations in non-linear diffusion
    • J.O. Mingle, Computational considerations in non-linear diffusion, Int. J. Numer. Methods Engrg. 7 (1973) 103-116.
    • (1973) Int. J. Numer. Methods Engrg. , vol.7 , pp. 103-116
    • Mingle, J.O.1
  • 8
    • 0017547658 scopus 로고
    • The method of differential quadrature for transient nonlinear diffusion
    • J.O. Mingle, The method of differential quadrature for transient nonlinear diffusion, J. Math. Anal. Appl. 60 (1977) 559-569.
    • (1977) J. Math. Anal. Appl. , vol.60 , pp. 559-569
    • Mingle, J.O.1
  • 9
    • 0024014784 scopus 로고
    • Two new approximate methods for analysing free vibration of structural components
    • C.W. Bert, S.K. Jang and A.G. Striz, Two new approximate methods for analysing 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
  • 10
    • 0025749119 scopus 로고
    • Differential quadrature method in the buckling analysis of beams and composite plates
    • A.N. Sherbourne and M.D. Pandey, Differential quadrature method in the buckling analysis of beams and composite plates, Comput. Struct. 40 (1991) 903-913.
    • (1991) Comput. Struct. , vol.40 , pp. 903-913
    • Sherbourne, A.N.1    Pandey, M.D.2
  • 11
    • 0026880752 scopus 로고
    • Fundamental frequency of tapered plates by differential quadrature
    • A.R. Kukreti, J. Farsa and C.W. Bert, Fundamental frequency of tapered plates by differential quadrature, J. Engrg. Mech. ASCE 118 (1992) 1221-1238.
    • (1992) J. Engrg. Mech. ASCE , vol.118 , pp. 1221-1238
    • Kukreti, A.R.1    Farsa, J.2    Bert, C.W.3
  • 12
    • 0027202868 scopus 로고
    • Differential quadrature for static and free vibration analyses of anisotropic plates
    • C.W. Bert, X. Wang and A.G. Striz, Differential quadrature for static and free vibration analyses of anisotropic plates, Int. J. Solids Struct. 30 (1993) 1737-1744.
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 1737-1744
    • Bert, C.W.1    Wang, X.2    Striz, A.G.3
  • 13
    • 0028007676 scopus 로고
    • The method of differential quadrature and its application to the approximate solution of ocean engineering problems
    • R.H. Gutierrez, P.A.A. Laura and R.E. Rossi, The method of differential quadrature and its application to the approximate solution of ocean engineering problems, Ocean Engrg. 21 (1994) 57-66.
    • (1994) Ocean Engrg. , vol.21 , pp. 57-66
    • Gutierrez, R.H.1    Laura, P.A.A.2    Rossi, R.E.3
  • 14
    • 0024705632 scopus 로고
    • New insights in solving distributed system equations by the quadrature method: I. Analysis
    • J.R. Quan and C.T. Chang, New insights in solving distributed system 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
  • 15
    • 0024738766 scopus 로고
    • New insights in solving distributed system equations by the quadrature method: II. Numerical experiments
    • J.R. Quan and C.T. Chang, New insights in solving distributed system 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
  • 17
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • 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
  • 18
    • 0028457088 scopus 로고
    • Application of generalized differential quadrature method to structural problems
    • H. Du, M.K. Lim and R.M. Lin, Application of generalized differential quadrature method to structural problems, Int. J. Numer. Methods Engrg. 37 (1994) 1881-1896.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 1881-1896
    • Du, H.1    Lim, M.K.2    Lin, R.M.3
  • 19
    • 0028481906 scopus 로고
    • Large deflection analysis of plates under thermal loading
    • R.M. Lin, M.K. Lim and H. Du, Large deflection analysis of plates under thermal loading, Comput. Methods Appl. Mech. Engrg. 117 (1994) 381-390.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.117 , pp. 381-390
    • Lin, R.M.1    Lim, M.K.2    Du, H.3
  • 20
    • 0030127739 scopus 로고    scopus 로고
    • Differential quadrature method for Mindlin plates on Winkler foundations
    • 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
  • 21
    • 0030192706 scopus 로고    scopus 로고
    • Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility
    • K.M. Liew, J.-B. Han and Z.M. Xiao, 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    Xiao, Z.M.3
  • 22
    • 0000122214 scopus 로고    scopus 로고
    • Bending analysis of simply supported deformable skew plates
    • accepted for publication
    • K.M. Liew and J.-B. Han, Bending analysis of simply supported deformable skew plates, J. Engrg. Mech. ASCE (1997) accepted for publication.
    • (1997) J. Engrg. Mech. ASCE
    • Liew, K.M.1    Han, J.-B.2
  • 23
    • 0042746285 scopus 로고    scopus 로고
    • A four-node differential quadrature formulation for static analysis of Mindlin plates
    • accepted for publication
    • K.M. Liew and J.-B. Han, A four-node differential quadrature formulation for static analysis of Mindlin plates, J. Engrg. Mech. ASCE (1997) accepted for publication.
    • (1997) J. Engrg. Mech. ASCE
    • Liew, K.M.1    Han, J.-B.2
  • 25
    • 0022507651 scopus 로고
    • Spline finite strip analysis of general plates
    • W.Y. Li, Y.K. Cheung and L.G. Tham, Spline finite strip analysis of general plates, J. Engrg. Mech. ASCE 112 (1986) 43-54.
    • (1986) J. Engrg. Mech. ASCE , vol.112 , pp. 43-54
    • Li, W.Y.1    Cheung, Y.K.2    Tham, L.G.3
  • 26
    • 0039859613 scopus 로고
    • Free vibration and static analysis of general plates by spline finite strip method
    • Y.K. Cheung, L.G. Tham and W.Y. Li, Free vibration and static analysis of general plates by spline finite strip method, Comput. Mech. 3 (1988) 187-197.
    • (1988) Comput. Mech. , vol.3 , pp. 187-197
    • Cheung, Y.K.1    Tham, L.G.2    Li, W.Y.3
  • 27
    • 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, J. Appl. Mech. ASME 18 (1951) 31-38.
    • (1951) J. Appl. Mech. ASME , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 28
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech. ASME 12 (1945) 69-77.
    • (1945) J. Appl. Mech. ASME , vol.12 , pp. 69-77
    • Reissner, E.1
  • 29
    • 0021117287 scopus 로고
    • Rectangular thick plates on linear viscoelastic foundations
    • H. Kobayashi and K. Sonoda, Rectangular thick plates on linear viscoelastic foundations, Proc. Jap. Soc. Ci. Engrs. 341 (1984) 33-39.
    • (1984) Proc. Jap. Soc. Ci. Engrs. , vol.341 , pp. 33-39
    • Kobayashi, H.1    Sonoda, K.2
  • 33
    • 0040921704 scopus 로고
    • Frederick Ungar, New York
    • W. Griffel, Plate Formulas (Frederick Ungar, New York, 1968) 21-22.
    • (1968) Plate Formulas , pp. 21-22
    • Griffel, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.