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Volumn 269, Issue 3-5, 2004, Pages 689-708

Second order mode-finding method in dynamic stiffness matrix methods

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BUCKLING; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; EXTRAPOLATION; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; STIFFNESS MATRIX;

EID: 0347761508     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00126-3     Document Type: Article
Times cited : (36)

References (13)
  • 1
    • 0000966358 scopus 로고
    • An automatic computational procedure for calculating natural frequencies of skeletal structures
    • F.W. Williams, W.H. Wittrick, An automatic computational procedure for calculating natural frequencies of skeletal structures, International Journal of Mechanical Sciences 12 (9) (1970) 781-791.
    • (1970) International Journal of Mechanical Sciences , vol.12 , Issue.9 , pp. 781-791
    • Williams, F.W.1    Wittrick, W.H.2
  • 2
    • 0024067172 scopus 로고
    • Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently
    • F.W. Williams, D. Kennedy, Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently, International Journal for Numerical Methods in Engineering 26 (8) (1988) 1825-1841.
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , Issue.8 , pp. 1825-1841
    • Williams, F.W.1    Kennedy, D.2
  • 3
    • 0026397517 scopus 로고
    • More efficient use of determinants to solve transcendental structural eigenvalue problems reliably
    • D. Kennedy, F.W. Williams, More efficient use of determinants to solve transcendental structural eigenvalue problems reliably, Computers and Structures 41 (5) (1991) 973-979.
    • (1991) Computers and Structures , vol.41 , Issue.5 , pp. 973-979
    • Kennedy, D.1    Williams, F.W.2
  • 4
    • 84994952966 scopus 로고
    • A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations
    • J. Ye, F.W. Williams, A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations, International Journal for Numerical Methods in Engineering 38 (6) (1995) 1057-1067.
    • (1995) International Journal for Numerical Methods in Engineering , vol.38 , Issue.6 , pp. 1057-1067
    • Ye, J.1    Williams, F.W.2
  • 5
    • 0020602252 scopus 로고
    • Exact buckling and frequency calculations surveyed
    • American Society of Civil Engineers
    • F.W. Williams, W.H. Wittrick, Exact buckling and frequency calculations surveyed, Journal of Structural Engineering, American Society of Civil Engineers 109 (1) (1983) 169-187.
    • (1983) Journal of Structural Engineering , vol.109 , Issue.1 , pp. 169-187
    • Williams, F.W.1    Wittrick, W.H.2
  • 8
    • 0037471025 scopus 로고    scopus 로고
    • Recursive second order convergence method for natural frequencies and modes when using dynamic stiffness matrices
    • S. Yuan, K. Ye, F.W. Williams, D. Kennedy, Recursive second order convergence method for natural frequencies and modes when using dynamic stiffness matrices, International Journal for Numerical Methods in Engineering 56 (12) (2003) 1795-1814.
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , Issue.12 , pp. 1795-1814
    • Yuan, S.1    Ye, K.2    Williams, F.W.3    Kennedy, D.4
  • 9
    • 0037180041 scopus 로고    scopus 로고
    • Towards deep and simple understanding of the transcendental eigenproblem of structural vibrations
    • F.W. Williams, S. Yuan, K. Ye, D. Kennedy, M.S. Djoudi, Towards deep and simple understanding of the transcendental eigenproblem of structural vibrations, Journal of Sound and Vibration 256 (4) (2002) 681-693.
    • (2002) Journal of Sound and Vibration , vol.256 , Issue.4 , pp. 681-693
    • Williams, F.W.1    Yuan, S.2    Ye, K.3    Kennedy, D.4    Djoudi, M.S.5
  • 10
    • 0017733642 scopus 로고
    • Mode finding in nonlinear structural eigenvalue calculations
    • C.T. Hopper, F.W. Williams, Mode finding in nonlinear structural eigenvalue calculations, Journal of Structural Mechanics 5 (3) (1977) 255-278.
    • (1977) Journal of Structural Mechanics , vol.5 , Issue.3 , pp. 255-278
    • Hopper, C.T.1    Williams, F.W.2
  • 11
    • 0033737576 scopus 로고    scopus 로고
    • Orthogonality of modes of structures when using the exact transcendental stiffness matrix method
    • K.L. Chan, F.W. Williams, Orthogonality of modes of structures when using the exact transcendental stiffness matrix method, Shock and Vibration 7 (1) (2000) 23-28.
    • (2000) Shock and Vibration , vol.7 , Issue.1 , pp. 23-28
    • Chan, K.L.1    Williams, F.W.2
  • 13
    • 0029378891 scopus 로고
    • Calculation of eigenvectors with uniform accuracy
    • American Society of Civil Engineers
    • H.R. Ronagh, R. Lawther, F.W. Williams, Calculation of eigenvectors with uniform accuracy, Journal of Engineering Mechanics, American Society of Civil Engineers 121 (9) (1995) 948-955.
    • (1995) Journal of Engineering Mechanics , vol.121 , Issue.9 , pp. 948-955
    • Ronagh, H.R.1    Lawther, R.2    Williams, F.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.