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Volumn 53, Issue 10, 2007, Pages 1538-1560

Vibration analysis of spherical structural elements using the GDQ method

Author keywords

Differential quadrature; Free vibrations; GDQ method; Sampling point distribution; Spherical shell panels

Indexed keywords

ELASTICITY; KINEMATICS; LAGRANGE MULTIPLIERS; NATURAL FREQUENCIES; NUMERICAL METHODS; PARAMETER ESTIMATION; STABILITY; STRUCTURAL PANELS; THEOREM PROVING;

EID: 34249023979     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.03.039     Document Type: Article
Times cited : (127)

References (20)
  • 1
    • 34249009144 scopus 로고    scopus 로고
    • J.L. Sanders, An improved first approximation theory of thin shells, NASA Report, 24, 1959
  • 4
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • Reissner E. The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. ASME 12 (1945) 66-77
    • (1945) J. Appl. Mech. ASME , vol.12 , pp. 66-77
    • Reissner, E.1
  • 5
    • 2342510346 scopus 로고    scopus 로고
    • The G.D.Q. method for the harmonic dynamic analysis of rotational shell structural elements
    • Viola E., and Artioli E. The G.D.Q. method for the harmonic dynamic analysis of rotational shell structural elements. Struct. Eng. Mech. 17 (2004) 789-817
    • (2004) Struct. Eng. Mech. , vol.17 , pp. 789-817
    • Viola, E.1    Artioli, E.2
  • 6
    • 34249062259 scopus 로고    scopus 로고
    • E. Artioli, P. Gould, E. Viola, Generalized collocation method for rotational shells free vibration analysis. in: The Seventh International Conference on Computational Structures Technology, Lisbon Portugal, September 7-9, 2004
  • 7
    • 34249091556 scopus 로고    scopus 로고
    • C. Shu, Generalized differential-integral quadrature and application to the simulation of incompressible viscous flows including parallel computation, Ph.D. Thesis, University of Glasgow, 1991
  • 8
    • 0001581047 scopus 로고
    • Differential quadrature and long-term integration
    • Bellman R., and Casti J. 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.1    Casti, J.2
  • 9
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • Bellman R., Kashef B.G., and Casti J. 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.1    Kashef, B.G.2    Casti, J.3
  • 10
    • 0024705632 scopus 로고
    • New insights in solving distributed system equations by the quadrature method - I. Analysis
    • Quan J.R., and Chang C.T. New insights in solving distributed system equations by the quadrature method - I. Analysis. Comput. Chem. Eng. 13 (1989) 779-788
    • (1989) Comput. Chem. Eng. , vol.13 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 11
    • 0024738766 scopus 로고
    • New insights in solving distributed system equations by the quadrature method - II. Numerical experiments
    • Quan J.R., and Chang C.T. New insights in solving distributed system equations by the quadrature method - II. Numerical experiments. Comput. Chem. Eng. 13 (1989) 1017-1024
    • (1989) Comput. Chem. Eng. , vol.13 , pp. 1017-1024
    • Quan, J.R.1    Chang, C.T.2
  • 12
    • 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
  • 13
    • 0021466557 scopus 로고
    • Differential quadrature for multi-dimensional problems
    • Civan F., and Sliepcevich C.M. 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
  • 14
    • 0012974235 scopus 로고
    • Application of differential quadrature in solution of pool boiling in cavities
    • Civan F., and Sliepcevich C.M. Application of differential quadrature in solution of pool boiling in cavities. Proc. Oklahoma Acad. Sci. 65 (1985) 73-78
    • (1985) Proc. Oklahoma Acad. Sci. , vol.65 , pp. 73-78
    • Civan, F.1    Sliepcevich, C.M.2
  • 15
    • 0024621941 scopus 로고
    • Application of differential quadrature to static analysis of structural components
    • Jang S., Bert C., and Striz A.G. Application of differential quadrature to static analysis of structural components. Internat. J. Numer. Methods Engrg. 28 (1989) 561-577
    • (1989) Internat. J. Numer. Methods Engrg. , vol.28 , pp. 561-577
    • Jang, S.1    Bert, C.2    Striz, A.G.3
  • 16
    • 0037436241 scopus 로고    scopus 로고
    • Application of a new differential quadrature methodology for free vibration analysis of plates
    • Karami G., and Malekzadeh P. Application of a new differential quadrature methodology for free vibration analysis of plates. Internat. J. Numer. Methods Engrg. 56 (2003) 847-868
    • (2003) Internat. J. Numer. Methods Engrg. , vol.56 , pp. 847-868
    • Karami, G.1    Malekzadeh, P.2
  • 18
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics
    • Bert C., and Malik M. Differential quadrature method in computational mechanics. Appl. Mech. Rev. 49 (1996) 1-27
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-27
    • Bert, C.1    Malik, M.2
  • 19
    • 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 Vibration 222 (1999) 239-257
    • (1999) J. Sound Vibration , vol.222 , pp. 239-257
    • Shu, C.1    Chen, W.2
  • 20
    • 0035918609 scopus 로고    scopus 로고
    • Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation
    • Shu C., Chen W., Xue H., and Du H. Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation. Internat. J. Numer. Methods Engrg. 51 (2001) 159-179
    • (2001) Internat. J. Numer. Methods Engrg. , vol.51 , pp. 159-179
    • Shu, C.1    Chen, W.2    Xue, H.3    Du, H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.