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Volumn 56, Issue 12, 2003, Pages 1795-1814

Recursive second order convergence method for natural frequences and modes when using dynamic stiffness matrices

Author keywords

Dynamic stiffness matrix; Natural frequencies; Newton's method; Second order convergence; Vibration modes; Wittrick Williams algorithm

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; PROBLEM SOLVING; STIFFNESS MATRIX; VIBRATIONS (MECHANICAL);

EID: 0037471025     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.640     Document Type: Article
Times cited : (51)

References (20)
  • 1
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    • Veletsos, A.S.1    Newmark, N.M.2
  • 3
    • 0000966358 scopus 로고
    • An automatic computational procedure for calculating natural frequencies of skeletal structures
    • Williams FW, Wittrick WH. An automatic computational procedure for calculating natural frequencies of skeletal structures. International Journal of Mechanical Sciences 1970: 12(9):781-791.
    • (1970) International Journal of Mechanical Sciences , vol.12 , Issue.9 , pp. 781-791
    • Williams, F.W.1    Wittrick, W.H.2
  • 9
    • 0024067172 scopus 로고
    • Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently
    • Williams FW, Kennedy D. Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently. International Journal for Numerical Methods in Engineering 1988; 26(8):1825-1841.
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , Issue.8 , pp. 1825-1841
    • Williams, F.W.1    Kennedy, D.2
  • 10
    • 0021758140 scopus 로고
    • On the solution of S(w)x = O by a Newtonian procedure
    • Simpson A. On the solution of S(w)x = O by a Newtonian procedure. Journal of Sound and Vibration 1984; 97(1):153-164.
    • (1984) Journal of Sound and Vibration , vol.97 , Issue.1 , pp. 153-164
    • Simpson, A.1
  • 11
    • 0026397517 scopus 로고
    • More efficient use of determinants to solve transcendental structural eigenvalue problems reliably
    • Kennedy D, Williams FW. More efficient use of determinants to solve transcendental structural eigenvalue problems reliably. Computers and Structures 1991; 41(5):973-979.
    • (1991) Computers and Structures , vol.41 , Issue.5 , pp. 973-979
    • Kennedy, D.1    Williams, F.W.2
  • 12
    • 84994952966 scopus 로고
    • A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations
    • Ye J, Williams FW. A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations. International Journal for Numerical Methods in Engineering 1995; 38(6):1057-1067.
    • (1995) International Journal for Numerical Methods in Engineering , vol.38 , Issue.6 , pp. 1057-1067
    • Ye, J.1    Williams, F.W.2
  • 16
    • 0020781118 scopus 로고
    • Concise equations and program for exact eigensolutions of plane frames including member shear
    • Howson WP, Banerjee JR, Williams FW. Concise equations and program for exact eigensolutions of plane frames including member shear. Advances in Engineering Software 1983; 5(3):137-141.
    • (1983) Advances in Engineering Software , vol.5 , Issue.3 , pp. 137-141
    • Howson, W.P.1    Banerjee, J.R.2    Williams, F.W.3
  • 18
    • 0016050243 scopus 로고
    • Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings
    • Wittrick WH, Williams FW. Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings. International Journal of Mechanical Sciences 1974; 16(4):209-239.
    • (1974) International Journal of Mechanical Sciences , vol.16 , Issue.4 , pp. 209-239
    • Wittrick, W.H.1    Williams, F.W.2
  • 20
    • 0012772522 scopus 로고    scopus 로고
    • Ansys Inc. Ansys Inc.: Canonsburg, PA
    • Ansys Inc. ANSYS 5.6 Documentation. Ansys Inc.: Canonsburg, PA, 2000.
    • (2000) ANSYS 5.6 Documentation


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.