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Volumn 59, Issue 4, 1996, Pages 613-621

Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BENDING (DEFORMATION); DYNAMICS; NATURAL FREQUENCIES; NUMERICAL ANALYSIS; TORSIONAL STRESS;

EID: 0030151724     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00307-X     Document Type: Article
Times cited : (105)

References (11)
  • 1
    • 0020477776 scopus 로고
    • Beam bending-torsion dynamic stiffness method for calculation of exact vibration modes
    • W. L. Hallauer and R. Y. L. Liu, Beam bending-torsion dynamic stiffness method for calculation of exact vibration modes. J. Sound Vibr. 85, 105-113 (1982).
    • (1982) J. Sound Vibr. , vol.85 , pp. 105-113
    • Hallauer, W.L.1    Liu, R.Y.L.2
  • 2
    • 0020737329 scopus 로고
    • Coupled vibration of beams - An exact dynamic element stiffness matrix
    • P. O. Friberg, Coupled vibration of beams - an exact dynamic element stiffness matrix. Int. J. numer. Meth. Engng 19, 479-493 (1983).
    • (1983) Int. J. Numer. Meth. Engng , vol.19 , pp. 479-493
    • Friberg, P.O.1
  • 3
    • 0024673750 scopus 로고
    • Coupled bending-torsional dynamic stiffness matrix for beam elements
    • J. R. Banerjee, Coupled bending-torsional dynamic stiffness matrix for beam elements. Int. J. numer. Meth. Engng 28, 1283-1289 (1989).
    • (1989) Int. J. Numer. Meth. Engng , vol.28 , pp. 1283-1289
    • Banerjee, J.R.1
  • 4
    • 0025793021 scopus 로고
    • A FORTRAN routine for computation of coupled bending-torsional dynamic stiffness matrix of beam elements
    • J. R. Banerjee, A FORTRAN routine for computation of coupled bending-torsional dynamic stiffness matrix of beam elements. Adv. Engng Software 13, 17-24 (1991).
    • (1991) Adv. Engng Software , vol.13 , pp. 17-24
    • Banerjee, J.R.1
  • 5
    • 0024681691 scopus 로고
    • On coupled bending and torsional vibration of uniform beams
    • R. E. D. Bishop, S. M. Cannon and S. Miao, On coupled bending and torsional vibration of uniform beams. J. Sound Vibr. 131, 457-464 (1989)
    • (1989) J. Sound Vibr. , vol.131 , pp. 457-464
    • Bishop, R.E.D.1    Cannon, S.M.2    Miao, S.3
  • 6
    • 0001472029 scopus 로고
    • A general algorithm for computing natural frequencies of elastic structures
    • W. H. Wittrick and F. W. Williams, A general algorithm for computing natural frequencies of elastic structures. Q. J. Mech. appl. Math. 24, 263-284 (1971).
    • (1971) Q. J. Mech. Appl. Math. , vol.24 , pp. 263-284
    • Wittrick, W.H.1    Williams, F.W.2
  • 7
    • 0020602252 scopus 로고
    • Exact buckling and frequency calculations surveyed
    • F. W. Williams and W. H. Wittrick, Exact buckling and frequency calculations surveyed, J. Struct. Engng ASCE 109, 169-187 (1983).
    • (1983) J. Struct. Engng ASCE , vol.109 , pp. 169-187
    • Williams, F.W.1    Wittrick, W.H.2
  • 8
    • 0011809296 scopus 로고
    • A compact method for computing the eigenvalues and eigenvectors of plane frames
    • W. P. Howson, A compact method for computing the eigenvalues and eigenvectors of plane frames. Adv. Engng Software 1, 181-190 (1979).
    • (1979) Adv. Engng Software , vol.1 , pp. 181-190
    • Howson, W.P.1
  • 9
    • 0001230533 scopus 로고
    • Natural frequencies of frames with axially loaded Timoshenko members
    • W. P. Howson and F. W. Williams, Natural frequencies of frames with axially loaded Timoshenko members, J. Sound Vibr. 26, 503-515 (1973).
    • (1973) J. Sound Vibr. , vol.26 , pp. 503-515
    • Howson, W.P.1    Williams, F.W.2
  • 11
    • 0028496750 scopus 로고
    • Clamped-clamped natural frequencies of a bending-torsion coupled beam
    • J. R. Banerjee and F. W. Williams, Clamped-clamped natural frequencies of a bending-torsion coupled beam. J. Sound Vibr. 176, 301-306 (1994).
    • (1994) J. Sound Vibr. , vol.176 , pp. 301-306
    • Banerjee, J.R.1    Williams, F.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.