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Volumn 196, Issue 17-20, 2007, Pages 2242-2251

Nonlinear stability analysis of thin doubly curved orthotropic shallow shells by the differential quadrature method

Author keywords

Differential quadrature method; Doubly curved; Shallow shell; Stability

Indexed keywords

BUCKLING; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD;

EID: 33846902354     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.11.009     Document Type: Article
Times cited : (42)

References (27)
  • 5
    • 0036604704 scopus 로고    scopus 로고
    • Semi-analytical stability analysis of doubly-curved orthotropic shallow panels-considering the effects of boundary conditions
    • van Campen D.H., Bouwman V.P., Zhang G.Q., et al. Semi-analytical stability analysis of doubly-curved orthotropic shallow panels-considering the effects of boundary conditions. Int. J. Non-linear Mech. 37 (2002) 659-667
    • (2002) Int. J. Non-linear Mech. , vol.37 , pp. 659-667
    • van Campen, D.H.1    Bouwman, V.P.2    Zhang, G.Q.3
  • 6
    • 18144424792 scopus 로고    scopus 로고
    • Nonlinear deformations of spherical panels subjected to transversal load action
    • Krysko V.A., Awrejcewicz J., and Komarov S.A. Nonlinear deformations of spherical panels subjected to transversal load action. Comput. Methods Appl. Mech. Engrg. 194 (2005) 3108-3126
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 3108-3126
    • Krysko, V.A.1    Awrejcewicz, J.2    Komarov, S.A.3
  • 7
    • 33646190107 scopus 로고    scopus 로고
    • A boundary element formulation for geometrically nonlinear analysis of shear deformable shells
    • Dirgantara T., and Aliabadi M.H. A boundary element formulation for geometrically nonlinear analysis of shear deformable shells. Comput. Methods Appl. Mech. Engrg. 195 (2006) 4635-4654
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 4635-4654
    • Dirgantara, T.1    Aliabadi, M.H.2
  • 8
    • 0024014784 scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • Bert C.W., Jang S.K., and 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
  • 9
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature in computational mechanics: a review
    • Bert C.W., and Malik M. Differential quadrature 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
  • 10
    • 0033078196 scopus 로고    scopus 로고
    • Parametric instability of conical shells by the generalized differential quadrature method
    • Ng T.Y., Li H., Lam K.Y., and Loy C.T. Parametric instability of conical shells by the generalized differential quadrature method. Int. J. Numer. Methods Engrg. 44 (1999) 819-837
    • (1999) Int. J. Numer. Methods Engrg. , vol.44 , pp. 819-837
    • Ng, T.Y.1    Li, H.2    Lam, K.Y.3    Loy, C.T.4
  • 11
    • 0037149791 scopus 로고    scopus 로고
    • Generalized differential quadrature method for the free vibration of truncated conical panels
    • Lam K.Y., Li H., NG T.Y., and Chua C.F. Generalized differential quadrature method for the free vibration of truncated conical panels. J. Sound Vib. 251 (2002) 329-348
    • (2002) J. Sound Vib. , vol.251 , pp. 329-348
    • Lam, K.Y.1    Li, H.2    NG, T.Y.3    Chua, C.F.4
  • 12
    • 0037508833 scopus 로고    scopus 로고
    • Generalized differential quadrature for free vibration of rotating composite laminated conical shell with various boundary conditions
    • Ng T.Y., Li H., and Lam K.Y. Generalized differential quadrature for free vibration of rotating composite laminated conical shell with various boundary conditions. Int. J. Mech. Sci. 45 (2003) 567-587
    • (2003) Int. J. Mech. Sci. , vol.45 , pp. 567-587
    • Ng, T.Y.1    Li, H.2    Lam, K.Y.3
  • 13
    • 0141717933 scopus 로고    scopus 로고
    • Frequency analysis of rotating conical panels: a generalized differential quadrature approach
    • NG T.Y., Li H., Lam K.Y., and Chua C.F. Frequency analysis of rotating conical panels: a generalized differential quadrature approach. J. Appl. Mech.-Trans. ASME 70 (2003) 601-605
    • (2003) J. Appl. Mech.-Trans. ASME , vol.70 , pp. 601-605
    • NG, T.Y.1    Li, H.2    Lam, K.Y.3    Chua, C.F.4
  • 14
    • 0037135315 scopus 로고    scopus 로고
    • Differential quadrature-layerwise modeling technique for three-dimensional analysis of cross-ply laminated plates of various edge-supports
    • Liew K.M., Ng T.Y., and Zhang J.Z. Differential quadrature-layerwise modeling technique for three-dimensional analysis of cross-ply laminated plates of various edge-supports. Comput. Methods Appl. Mech. Engrg. 191 (2002) 3811-3832
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 3811-3832
    • Liew, K.M.1    Ng, T.Y.2    Zhang, J.Z.3
  • 15
    • 0043021903 scopus 로고    scopus 로고
    • Three-dimensional theory of elasticity for free vibration analysis of composite laminates via layerwise differential quadrature modeling
    • Zhang J.Z., Ng T.Y., and Liew K.M. Three-dimensional theory of elasticity for free vibration analysis of composite laminates via layerwise differential quadrature modeling. Int. J. Numer. Methods Engrg. 57 (2003) 1819-1844
    • (2003) Int. J. Numer. Methods Engrg. , vol.57 , pp. 1819-1844
    • Zhang, J.Z.1    Ng, T.Y.2    Liew, K.M.3
  • 16
    • 0037378266 scopus 로고    scopus 로고
    • Three-dimensional modelling of elastic bonding in composite laminates using layerwise differential quadrature
    • Liew K.M., Zhang J.Z., Ng T.Y., and Meguid S.A. Three-dimensional modelling of elastic bonding in composite laminates using layerwise differential quadrature. Int. J. Solids Struct. 40 (2003) 1745-1764
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 1745-1764
    • Liew, K.M.1    Zhang, J.Z.2    Ng, T.Y.3    Meguid, S.A.4
  • 17
    • 0037186335 scopus 로고    scopus 로고
    • On nonlinear behavior of spherical shallow shells bonded with piezoelectric actuators by the differential quadrature element method (DQEM)
    • Wang X., and Wang Y. On nonlinear behavior of spherical shallow shells bonded with piezoelectric actuators by the differential quadrature element method (DQEM). Int. J. Numer. Methods Engrg. 53 (2002) 1477-1490
    • (2002) Int. J. Numer. Methods Engrg. , vol.53 , pp. 1477-1490
    • Wang, X.1    Wang, Y.2
  • 18
    • 0035797615 scopus 로고    scopus 로고
    • On free vibration analysis of nonlinear piezoelectric circular shallow spherical shells by the differential quadrature element method
    • Wang Y., Liu R.H., and Wang X. On free vibration analysis of nonlinear piezoelectric circular shallow spherical shells by the differential quadrature element method. J. Sound Vib. 245 (2001) 179-185
    • (2001) J. Sound Vib. , vol.245 , pp. 179-185
    • Wang, Y.1    Liu, R.H.2    Wang, X.3
  • 19
    • 13244267303 scopus 로고    scopus 로고
    • New approaches in application of differential quadrature method for fourth-order differential equations
    • Wang X., Liu F., Wang X.F., and Gan L.F. New approaches in application of differential quadrature method for fourth-order differential equations. Commun. Numer. Methods Engrg. 21 (2005) 61-71
    • (2005) Commun. Numer. Methods Engrg. , vol.21 , pp. 61-71
    • Wang, X.1    Liu, F.2    Wang, X.F.3    Gan, L.F.4
  • 20
    • 0027576566 scopus 로고
    • A new approach in applying differential quadrature to static and free vibrational analyses of beams and plates
    • Wang X., and Bert C.W. A new approach in applying differential quadrature to static and free vibrational analyses of beams and plates. J. Sound Vib. 162 (1993) 566-572
    • (1993) J. Sound Vib. , vol.162 , pp. 566-572
    • Wang, X.1    Bert, C.W.2
  • 22
    • 0001024665 scopus 로고    scopus 로고
    • On optimal selection of interior points for applying discretized boundary conditions in DQ vibration analysis of beams and plates
    • Shu C., and Chen W. On optimal selection of interior points for applying discretized boundary conditions in DQ vibration analysis of beams and plates. J Sound Vib. 222 (1999) 239-257
    • (1999) J Sound Vib. , vol.222 , pp. 239-257
    • Shu, C.1    Chen, W.2
  • 23
    • 1542644014 scopus 로고    scopus 로고
    • Static and free vibration analyses of rectangular plates by the new version of the differential quadrature element method
    • Wang Y., Wang X., and Zhou Y. Static and free vibration analyses of rectangular plates by the new version of the differential quadrature element method. Int. J. Numer. Methods Engrg. 59 (2004) 1207-1226
    • (2004) Int. J. Numer. Methods Engrg. , vol.59 , pp. 1207-1226
    • Wang, Y.1    Wang, X.2    Zhou, Y.3
  • 24
    • 13244271236 scopus 로고
    • Error analysis in differential quadrature method
    • He B., and Wang X. Error analysis in differential quadrature method. Trans. NUAA 11 (1994) 194-200
    • (1994) Trans. NUAA , vol.11 , pp. 194-200
    • He, B.1    Wang, X.2
  • 26
    • 0033898422 scopus 로고    scopus 로고
    • The application of special matrix product to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates
    • Chen W., Shu C., He W., and Zhong T. The application of special matrix product to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates. Comput. Struct. 74 (2000) 65-76
    • (2000) Comput. Struct. , vol.74 , pp. 65-76
    • Chen, W.1    Shu, C.2    He, W.3    Zhong, T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.