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Volumn 280, Issue 3-5, 2005, Pages 883-902

Exact substructuring in recursive Newton's method for solving transcendental eigenproblems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BUCKLING; EIGENVALUES AND EIGENFUNCTIONS; LOADS (FORCES); PROBLEM SOLVING; STIFFNESS; VIBRATIONS (MECHANICAL);

EID: 10444251082     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2003.12.050     Document Type: Article
Times cited : (11)

References (24)
  • 1
    • 0000966358 scopus 로고
    • An automatic computational procedure for calculating natural frequencies of skeletal structures
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    • (1970) International Journal of Mechanical Sciences , vol.12 , pp. 781-791
    • Williams, F.W.1    Wittrick, W.H.2
  • 3
    • 0015742913 scopus 로고
    • An algorithm for computing critical buckling loads of elastic structures
    • W.H. Wittrick, F.W. Williams, An algorithm for computing critical buckling loads of elastic structures, Journal of Structural Mechanics 1 (1973) 497-518.
    • (1973) Journal of Structural Mechanics , vol.1 , pp. 497-518
    • Wittrick, W.H.1    Williams, F.W.2
  • 4
    • 0016050243 scopus 로고
    • Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings
    • W.H. Wittrick, F.W. Williams, Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings, International Journal of Mechanical Sciences 16 (1974) 209-239.
    • (1974) International Journal of Mechanical Sciences , vol.16 , pp. 209-239
    • Wittrick, W.H.1    Williams, F.W.2
  • 6
  • 7
    • 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 (1991) 973-979.
    • (1991) Computers and Structures , vol.41 , pp. 973-979
    • Kennedy, D.1    Williams, F.W.2
  • 9
    • 1542749187 scopus 로고    scopus 로고
    • Exact determinant for infinite order FEM representation of a Timoshenko beam-column via improved transcendental member stiffness matrices
    • F.W. Williams, D. Kennedy, M.S. Djoudi, Exact determinant for infinite order FEM representation of a Timoshenko beam-column via improved transcendental member stiffness matrices, International Journal for Numerical Methods in Engineering 59 (2004) 1355-1371.
    • (2004) International Journal for Numerical Methods in Engineering , vol.59 , pp. 1355-1371
    • Williams, F.W.1    Kennedy, D.2    Djoudi, M.S.3
  • 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 (1977) 255-278.
    • (1977) Journal of Structural Mechanics , vol.5 , pp. 255-278
    • Hopper, C.T.1    Williams, F.W.2
  • 13
    • 0347761508 scopus 로고    scopus 로고
    • Second order mode-finding method in dynamic stiffness matrix methods
    • S. Yuan, K. Ye, F.W. Williams, Second order mode-finding method in dynamic stiffness matrix methods, Journal of Sound and Vibration 269 (2004) 689-708.
    • (2004) Journal of Sound and Vibration , vol.269 , pp. 689-708
    • Yuan, S.1    Ye, K.2    Williams, F.W.3
  • 14
    • 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 (2003) 1795-1814.
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , pp. 1795-1814
    • Yuan, S.1    Ye, K.2    Williams, F.W.3    Kennedy, D.4
  • 15
    • 0021758140 scopus 로고
    • On the solution of S(ω) = 0 by a Newtonian procedure
    • A. Simpson, On the solution of S(ω) = 0 by a Newtonian procedure, Journal of Sound and Vibration 97 (1984) 153-164.
    • (1984) Journal of Sound and Vibration , vol.97 , pp. 153-164
    • Simpson, A.1
  • 17
    • 0024737722 scopus 로고
    • Fluid vibration in piping systems: A structural mechanics approach. I. Theory
    • A. Frid, Fluid vibration in piping systems: a structural mechanics approach. I. Theory, Journal of Sound and Vibration 133 (1989) 423-438.
    • (1989) Journal of Sound and Vibration , vol.133 , pp. 423-438
    • Frid, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.