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Volumn 44, Issue 1, 2006, Pages 58-69

Natural frequencies and modes of a Timoshenko beam

Author keywords

Eigenvalues; Euler Bernoulli beam; Natural frequencies; Timoshenko beam

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; RESONANCE;

EID: 33750628559     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.wavemoti.2006.06.008     Document Type: Article
Times cited : (97)

References (19)
  • 2
    • 84953684235 scopus 로고
    • The effect of rotatory inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions
    • Huang T.C. The effect of rotatory inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions. J. Appl. Mech. 28 (1961) 579-584
    • (1961) J. Appl. Mech. , vol.28 , pp. 579-584
    • Huang, T.C.1
  • 4
    • 0000247441 scopus 로고    scopus 로고
    • Double eigenvalues for the uniform Timoshenko beam
    • Geist B., and McLaughlin J.R. Double eigenvalues for the uniform Timoshenko beam. Appl. Math. Lett. 10 3 (1997) 129-134
    • (1997) Appl. Math. Lett. , vol.10 , Issue.3 , pp. 129-134
    • Geist, B.1    McLaughlin, J.R.2
  • 6
    • 0036062871 scopus 로고    scopus 로고
    • Asymptotic and spectral analysis of the spatially nonhomogeneous Timoshenko beam model
    • Shubov M.A. Asymptotic and spectral analysis of the spatially nonhomogeneous Timoshenko beam model. Math. Nachr. 241 (2002) 125-162
    • (2002) Math. Nachr. , vol.241 , pp. 125-162
    • Shubov, M.A.1
  • 7
    • 0000236423 scopus 로고
    • Flexural vibrations in uniform beams according to the Timoshenko theory
    • Anderson R.A. Flexural vibrations in uniform beams according to the Timoshenko theory. J. Appl. Mech. (1953) 504-510
    • (1953) J. Appl. Mech. , pp. 504-510
    • Anderson, R.A.1
  • 8
    • 0001236446 scopus 로고
    • On the Timoshenko theory of transverse beam vibrations
    • Dolph C.L. On the Timoshenko theory of transverse beam vibrations. Quart. Appl. Math. 12 (1954) 175-187
    • (1954) Quart. Appl. Math. , vol.12 , pp. 175-187
    • Dolph, C.L.1
  • 9
  • 11
    • 0004175949 scopus 로고
    • Prentice-Hall Inc, Englewood Cliffs, New Jersey
    • Inman D.J. Engineering Vibration (1994), Prentice-Hall Inc, Englewood Cliffs, New Jersey
    • (1994) Engineering Vibration
    • Inman, D.J.1
  • 13
    • 33750626438 scopus 로고    scopus 로고
    • N.F.J. Van Rensburg, Natural frequencies and modes of a Timoshenko beam, Technical Report UPWT 2001/04, Department of Mathematics and Applied Mathematics, University of Pretoria, 2001.
  • 14
    • 33750630298 scopus 로고    scopus 로고
    • N.F.J. Van Rensburg, A.J. van der Merwe, Natural frequencies and modes of a Timoshenko beam, Technical Report UPWT 2005/17, Department of Mathematics and Applied Mathematics, University of Pretoria, 2005.
  • 15
    • 0027599505 scopus 로고
    • Analysis of the vibration spectrum of a Timoshenko beam with boundary damping by the wave method
    • Coleman M.P., and Wang H. Analysis of the vibration spectrum of a Timoshenko beam with boundary damping by the wave method. Wave motion 17 (1993) 223-239
    • (1993) Wave motion , vol.17 , pp. 223-239
    • Coleman, M.P.1    Wang, H.2
  • 16
    • 0023455476 scopus 로고
    • Boundary control of the Timoshenko beam
    • Kim J.U., and Renardi Y. Boundary control of the Timoshenko beam. SIAM J. Control Optim. 25 (1987) 1417-1429
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 1417-1429
    • Kim, J.U.1    Renardi, Y.2
  • 17
    • 0007653595 scopus 로고
    • The Shear coefficient in Timoshenko's beam theory
    • Cowper G.R. The Shear coefficient in Timoshenko's beam theory. J. Appl. Mech. 33 (1966) 335-340
    • (1966) J. Appl. Mech. , vol.33 , pp. 335-340
    • Cowper, G.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.