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Volumn 55, Issue 5, 2012, Pages 861-871

Analysis of thin plates by the weak form quadrature element method

Author keywords

C1 continuity; Mesh distortion; Thin plate; Weak form quadrature element

Indexed keywords

C1 CONTINUITY; DIFFERENTIAL QUADRATURE; EFFICIENT NUMERICAL SCHEMES; ELEMENT METHOD; GRID PATTERN; MESH DISTORTION; PARTIAL DERIVATIVES; SAMPLING POINTS; SHAPE DISTORTIONS; THIN PLATE; THIN PLATE THEORY; VARYING THICKNESS; VIBRATIONAL ANALYSIS; WEAK FORM;

EID: 84863778244     PISSN: 16747348     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11433-012-4684-y     Document Type: Article
Times cited : (58)

References (27)
  • 1
    • 0019183317 scopus 로고
    • A study of three-node triangular plate bending elements
    • Batoz J L, Bathe K J, Ho W L. A study of three-node triangular plate bending elements. Int J Numer Methods Eng, 1980, 15: 1771-1812.
    • (1980) Int J Numer Methods Eng , vol.15 , pp. 1771-1812
    • Batoz, J.L.1    Bathe, K.J.2    Ho, W.L.3
  • 3
    • 85007662103 scopus 로고
    • A rapidly converging triangle plate element
    • Stricklin J A, Haisler W, Tisdale P, et al. A rapidly converging triangle plate element. J AIAA, 1969, 7: 180-181.
    • (1969) J AIAA , vol.7 , pp. 180-181
    • Stricklin, J.A.1    Haisler, W.2    Tisdale, P.3
  • 5
    • 0015435557 scopus 로고
    • Two hybrid elements for analysis of thick, thin and sandwich plates
    • Cook R D. Two hybrid elements for analysis of thick, thin and sandwich plates. Int J Numer Methods Eng, 1972, 5: 277-299.
    • (1972) Int J Numer Methods Eng , vol.5 , pp. 277-299
    • Cook, R.D.1
  • 6
    • 33847675362 scopus 로고    scopus 로고
    • Flexural vibration analysis of an eccentric annular Mindlin plate
    • DOI 10.1007/s00419-006-0083-z
    • Zhong H, Yu T. Flexural vibration analysis of an eccentric annular mindlin plate. Arch Appl Mech, 2007, 77: 185-195. (Pubitemid 46362258)
    • (2007) Archive of Applied Mechanics , vol.77 , Issue.4 , pp. 185-195
    • Zhong, H.1    Yu, T.2
  • 7
    • 67349131943 scopus 로고    scopus 로고
    • A weak form quadrature element method for plane elasticity problems
    • Zhong H, Yu T. A weak form quadrature element method for plane elasticity problems. Appl Math Modelling, 2009, 33(10): 3801-3814.
    • (2009) Appl Math Modelling , vol.33 , Issue.10 , pp. 3801-3814
    • Zhong, H.1    Yu, T.2
  • 8
    • 77955466769 scopus 로고    scopus 로고
    • Weak form quadrature element analysis of Bickford beams
    • Zhong H, Wang Y. Weak form quadrature element analysis of Bickford beams. Eur J Mech Solids, 2010, 29(5): 851-858.
    • (2010) Eur J Mech Solids , vol.29 , Issue.5 , pp. 851-858
    • Zhong, H.1    Wang, Y.2
  • 9
    • 78049480698 scopus 로고    scopus 로고
    • Quadrature element analysis of planar frameworks
    • Zhong H, Gao M. Quadrature element analysis of planar frameworks. Arch Appl Mech, 2010, 80: 1391-1405.
    • (2010) Arch Appl Mech , vol.80 , pp. 1391-1405
    • Zhong, H.1    Gao, M.2
  • 11
    • 0031145244 scopus 로고    scopus 로고
    • Free vibration of plates by the high accuracy quadrature element method
    • Striz A G, Chen W L, Bert C W. Free vibration of plates by the high accuracy quadrature element method. J Sound Vib, 1997, 202: 689-702. (Pubitemid 127402325)
    • (1997) Journal of Sound and Vibration , vol.202 , Issue.5 , pp. 689-702
    • Striz, A.G.1    Chen, W.L.2    Bert, C.W.3
  • 12
    • 0030130118 scopus 로고    scopus 로고
    • Implementing multiple boundary conditions in the DQ solution of higher-order PDE's: Application to free vibration of plates
    • Malik M, Bert C W. Implementing multiple boundary conditions in the DQ solution of high-order PDEs: Application to free vibration of plates. Int J Numer Methods Eng, 1996, 39: 1237-1258. (Pubitemid 126648121)
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , Issue.7 , pp. 1237-1258
    • Malik, M.1    Bert, C.W.2
  • 13
    • 1542644014 scopus 로고    scopus 로고
    • Static and free vibration analyses of rectangular plates by the new version of te differential quadrature element method
    • Wang Y L, Wang X W, Zhou Y. Static and free vibration analyses of rectangular plates by the new version of the differential quadrature element method. Int J Numer Methods Eng, 2004, 59: 1207-1226. (Pubitemid 38335649)
    • (2004) International Journal for Numerical Methods in Engineering , vol.59 , Issue.9 , pp. 1207-1226
    • Wang, Y.1    Wang, X.2    Zhou, Y.3
  • 14
    • 1142293059 scopus 로고    scopus 로고
    • Spline-based differential quadrature for fourth order differential equations and its application to Kirchhoff plates
    • Zhong H Z. Spline-based differential quadrature for fourth order differential equations and its application to Kirchhoff plates. Appl Math Modeling, 2004, 28(4): 353-366.
    • (2004) Appl Math Modeling , vol.28 , Issue.4 , pp. 353-366
    • Zhong, H.Z.1
  • 15
    • 71949129909 scopus 로고    scopus 로고
    • High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain
    • Xing Y F, Liu B. High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain. Int J Numer Methods Eng, 2009, 80(13): 1718-1742.
    • (2009) Int J Numer Methods Eng , vol.80 , Issue.13 , pp. 1718-1742
    • Xing, Y.F.1    Liu, B.2
  • 16
    • 84863776672 scopus 로고    scopus 로고
    • ANSYS. Swanson Analysis System, US, 2003
    • ANSYS. Swanson Analysis System, US, 2003.
  • 17
    • 0000277324 scopus 로고
    • Blending function methods of bivariate and multivariate interpolation and approximation
    • Gordon W J. Blending function methods of bivariate and multivariate interpolation and approximation. SIAM J Numer Anal, 1971, 8: 158-177.
    • (1971) SIAM J Numer Anal , vol.8 , pp. 158-177
    • Gordon, W.J.1
  • 19
    • 0001581047 scopus 로고
    • Differential quadrature and long term integration
    • Bellman R E, Casti J. Differential quadrature and long term integration. J Math Anal Appl, 1971, 34: 235-238.
    • (1971) J Math Anal Appl , vol.34 , pp. 235-238
    • Bellman, R.E.1    Casti, J.2
  • 20
    • 0024705632 scopus 로고
    • New insights in solving distributed system equations by the quadrature method. I. Analysis
    • DOI 10.1016/0098-1354(89)85051-3
    • Quan J R, Chang C T. New insights in solving distributed system equations by the quadrature method-I. Anal Comput Chem Eng, 1989, 13: 779-788. (Pubitemid 20620969)
    • (1989) Computers and Chemical Engineering , vol.13 , Issue.7 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 21
    • 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, 1996, 49: 1-27. (Pubitemid 126614778)
    • (1996) Applied Mechanics Reviews , vol.49 , Issue.1 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 23
    • 0242465561 scopus 로고
    • Sur la Formula d'interpolation de Lagrange(in French)
    • Hermite C. Sur la Formula d'interpolation de Lagrange(in French). J Reine Angewandte Math, 1878, 84: 70-79.
    • (1878) J Reine Angewandte Math , vol.84 , pp. 70-79
    • Hermite, C.1
  • 26
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • Leissa A W. The free vibration of rectangular plates. J Sound Vib, 1973, 31: 257-293.
    • (1973) J Sound Vib , vol.31 , pp. 257-293
    • Leissa, A.W.1
  • 27
    • 24144472893 scopus 로고    scopus 로고
    • Generalized hypergeometric function solutions for transverse vibration of a class of non-uniform annular plates
    • DOI 10.1016/j.jsv.2004.11.027, PII S0022460X04009204
    • Duan W H, Quek S T, Wang Q. Generalized hypergeometric function solutions for transverse vibration of a class of non-uniform annular plates. J Sound Vib, 2005, 287: 785-807 (Pubitemid 41252335)
    • (2005) Journal of Sound and Vibration , vol.287 , Issue.4-5 , pp. 785-807
    • Duan, W.H.1    Quek, S.T.2    Wang, Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.