메뉴 건너뛰기




Volumn 40, Issue 1, 2005, Pages 113-149

Non-linear dynamic response of a rotating radial Timoshenko beam with periodic pulse loading at the free-end

Author keywords

[No Author keywords available]

Indexed keywords

CANTILEVER BEAMS; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; FRICTION; SHEAR DEFORMATION; SHEAR STRENGTH; STIFFNESS; STRUCTURAL LOADS; TURBOMACHINERY; VIBRATIONS (MECHANICAL); WAVE EQUATIONS;

EID: 4644349682     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.05.019     Document Type: Article
Times cited : (121)

References (47)
  • 1
    • 0039127628 scopus 로고
    • Die Ausbreitung von Biegungswellen in Stäben
    • W. Flügge, Die Ausbreitung von Biegungswellen in Stäben, Z. Angew. Math. Mech. (ZAMM) 22 (1942) 312-318.
    • (1942) Z. Angew. Math. Mech. (ZAMM) , vol.22 , pp. 312-318
    • Flügge, W.1
  • 4
    • 84953684235 scopus 로고
    • The effect of rotary inertia and shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions
    • T.C. Huang, The effect of rotary inertia and shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions, ASME J. Appl. Mech. 28 (1961) 579-584.
    • (1961) ASME J. Appl. Mech. , vol.28 , pp. 579-584
    • Huang, T.C.1
  • 5
    • 0015202913 scopus 로고
    • On the parametric stability of a Timoshenko beam subjected to a periodic axial load
    • P. Hagedorn, L.R. Koval, On the parametric stability of a Timoshenko beam subjected to a periodic axial load, Ing.-Arch. 40 (1971) 211-220.
    • (1971) Ing.-arch. , vol.40 , pp. 211-220
    • Hagedorn, P.1    Koval, L.R.2
  • 6
    • 0001715441 scopus 로고
    • Semi-analytic methods for rotating Timoshenko beams
    • R.O. Stafford, V. Giurgiurtiu, Semi-analytic methods for rotating Timoshenko beams, Int. J. Mech. Sci. 17 (1975) 719-727.
    • (1975) Int. J. Mech. Sci. , vol.17 , pp. 719-727
    • Stafford, R.O.1    Giurgiurtiu, V.2
  • 7
    • 0019024456 scopus 로고
    • Vibration and stability of a non-uniform Timoshenko beam subjected to a follower force
    • T. Irie, G. Yamada, I. Takahashi, Vibration and stability of a non-uniform Timoshenko beam subjected to a follower force, J. Sound Vib. 70 (1980) 503-512.
    • (1980) J. Sound Vib. , vol.70 , pp. 503-512
    • Irie, T.1    Yamada, G.2    Takahashi, I.3
  • 8
    • 0019290401 scopus 로고
    • A finite rotating shaft element using Timoshenko beam theory
    • H.D. Nelson, A finite rotating shaft element using Timoshenko beam theory, ASME J. Mech. Design 102 (1980) 793-802.
    • (1980) ASME J. Mech. Design , vol.102 , pp. 793-802
    • Nelson, H.D.1
  • 9
    • 0023044801 scopus 로고
    • Dynamic stability of a rotating Timoshenko beam with flexible root
    • B.A.H. Abbas, Dynamic stability of a rotating Timoshenko beam with flexible root, J. Sound Vib. 108 (1) (1986) 25-32.
    • (1986) J. Sound Vib. , vol.108 , Issue.1 , pp. 25-32
    • Abbas, B.A.H.1
  • 10
    • 0024683977 scopus 로고
    • Dynamic stability of a Timoshenko beam subjected to oscillating axial force
    • S.K. Sinha, Dynamic stability of a Timoshenko beam subjected to oscillating axial force, J. Sound Vib. 131 (3) (1989) 509-514.
    • (1989) J. Sound Vib. , vol.131 , Issue.3 , pp. 509-514
    • Sinha, S.K.1
  • 11
    • 0024964423 scopus 로고
    • Wave propagation in a split Timoshenko beam
    • T.N. Farris, J.F. Doyle, Wave propagation in a split Timoshenko beam, J. Sound Vib. 130 (1) (1989) 137-147.
    • (1989) J. Sound Vib. , vol.130 , Issue.1 , pp. 137-147
    • Farris, T.N.1    Doyle, J.F.2
  • 12
    • 0025628716 scopus 로고
    • Vibration characteristics of a rotating blade with localized damage including the effect of shear deformation and rotary inertia
    • P.K. Datta, R. Ganguli, Vibration characteristics of a rotating blade with localized damage including the effect of shear deformation and rotary inertia, Comput. & Struct. 36 (6) (1990) 1129-1133.
    • (1990) Comput. & Struct. , vol.36 , Issue.6 , pp. 1129-1133
    • Datta, P.K.1    Ganguli, R.2
  • 13
    • 4644289712 scopus 로고
    • A survey of studies dealing with Timoshenko beams
    • P.A.A. Laura, M.J. Maurizi, R.E. Rossi, A survey of studies dealing with Timoshenko beams, Shock Vib. Dig. 22 (11) (1990) 3-10.
    • (1990) Shock Vib. Dig. , vol.22 , Issue.11 , pp. 3-10
    • Laura, P.A.A.1    Maurizi, M.J.2    Rossi, R.E.3
  • 14
    • 0026989902 scopus 로고
    • Exact vibration solutions for nonuniform Timoshenko beams with attachments
    • S.Y. Lee, S.M. Lin, Exact vibration solutions for nonuniform Timoshenko beams with attachments, AIAA J. 30 (1992) 2930-2934.
    • (1992) AIAA J. , vol.30 , pp. 2930-2934
    • Lee, S.Y.1    Lin, S.M.2
  • 15
    • 0028693961 scopus 로고
    • Bending vibrations of a rotating nonuniform Timoshenko beam with an elastically restrained root
    • S.Y. Lee, S.M. Lin, Bending vibrations of a rotating nonuniform Timoshenko beam with an elastically restrained root, ASME J. Appl. Mech. 61 (1994) 949-955.
    • (1994) ASME J. Appl. Mech. , vol.61 , pp. 949-955
    • Lee, S.Y.1    Lin, S.M.2
  • 16
    • 0029389902 scopus 로고
    • Vibration analysis of Timoshenko beams with non-homogeneity and varying crosssection
    • X. Tong, B. Tabarrok, K.Y. Yeh, Vibration analysis of Timoshenko beams with non-homogeneity and varying crosssection, J. Sound Vib. 186 (1995) 821-835.
    • (1995) J. Sound Vib. , vol.186 , pp. 821-835
    • Tong, X.1    Tabarrok, B.2    Yeh, K.Y.3
  • 17
    • 0029272465 scopus 로고
    • Vibration modes and frequencies of Timoshenko beams with attached rigid bodies
    • M.W.D. White, G.R. Heppler, Vibration modes and frequencies of Timoshenko beams with attached rigid bodies, ASME J. Appl. Mech. 62 (1995) 193-195.
    • (1995) ASME J. Appl. Mech. , vol.62 , pp. 193-195
    • White, M.W.D.1    Heppler, G.R.2
  • 18
    • 0030258334 scopus 로고    scopus 로고
    • Vibration of rotating Timoshenko beams
    • M.W.D. White, G.R. Heppler, Vibration of rotating Timoshenko beams, ASME J. Vib. Acoust. 118 (1996) 606-613.
    • (1996) ASME J. Vib. Acoust. , vol.118 , pp. 606-613
    • White, M.W.D.1    Heppler, G.R.2
  • 19
    • 0030568676 scopus 로고    scopus 로고
    • Green's function for uniform Timoshenko beams
    • G.G.G. Lueschen, L.A. Bergaman, Green's function for uniform Timoshenko beams, J. Sound Vib. 194 (1) (1996) 93-102.
    • (1996) J. Sound Vib. , vol.194 , Issue.1 , pp. 93-102
    • Lueschen, G.G.G.1    Bergaman, L.A.2
  • 20
    • 0031629566 scopus 로고    scopus 로고
    • Exact solutions for extensible circular curved Timoshenko beams with non-homogeneous elastic boundary conditions
    • S.M. Lin, Exact solutions for extensible circular curved Timoshenko beams with non-homogeneous elastic boundary conditions, Acta Mech. 130 (1998) 67-79.
    • (1998) Acta Mech. , vol.130 , pp. 67-79
    • Lin, S.M.1
  • 22
    • 0033187726 scopus 로고    scopus 로고
    • Dynamic analysis of rotating nonuniform Timoshenko beams with an elastically restrained root
    • S.M. Lin, Dynamic analysis of rotating nonuniform Timoshenko beams with an elastically restrained root, ASME J. Appl. Mech. 66 (1999) 742-748.
    • (1999) ASME J. Appl. Mech. , vol.66 , pp. 742-748
    • Lin, S.M.1
  • 23
    • 0040550268 scopus 로고    scopus 로고
    • Free vibration of a spinning stepped Timoshenko beam
    • S.D. Yu, W.L. Cleghorn, Free vibration of a spinning stepped Timoshenko beam, ASME J. Appl. Mech. 67 (4) (2000) 839-841.
    • (2000) ASME J. Appl. Mech. , vol.67 , Issue.4 , pp. 839-841
    • Yu, S.D.1    Cleghorn, W.L.2
  • 24
    • 0000051906 scopus 로고    scopus 로고
    • Vibrations of tapered Timoshenko beams in terms of static Timoshenko beam functions
    • D. Zhou, Y.K. Cheung, Vibrations of tapered Timoshenko beams in terms of static Timoshenko beam functions, ASME J. Appl. Mech. 68 (4) (2001) 596-602.
    • (2001) ASME J. Appl. Mech. , vol.68 , Issue.4 , pp. 596-602
    • Zhou, D.1    Cheung, Y.K.2
  • 25
    • 0000048562 scopus 로고    scopus 로고
    • Shear coefficients for Timoshenko beam theory
    • J.R. Hutchinson, Shear coefficients for Timoshenko beam theory, ASME J. Appl. Mech. 68 (1) (2001) 87-92.
    • (2001) ASME J. Appl. Mech. , vol.68 , Issue.1 , pp. 87-92
    • Hutchinson, J.R.1
  • 26
    • 0023596052 scopus 로고
    • The role of nonlinear theories in transient dynamic analysis of flexible beams
    • J.C. Simo, L. Vu-Quoc, The role of nonlinear theories in transient dynamic analysis of flexible beams, J. Sound Vib. 119 (3) (1987) 487-508.
    • (1987) J. Sound Vib. , vol.119 , Issue.3 , pp. 487-508
    • Simo, J.C.1    Vu-Quoc, L.2
  • 27
    • 0030196290 scopus 로고    scopus 로고
    • A method for calculating the dynamics of rotating flexible structures (Part 1 : Derivation, Part 2: Example calculations)
    • D.J. Segalman, C.R. Dohrmann, A method for calculating the dynamics of rotating flexible structures (Part 1 : Derivation, Part 2: Example calculations), ASME J. Vib. Acoust. 118 (3) (1996) 313-322.
    • (1996) ASME J. Vib. Acoust. , vol.118 , Issue.3 , pp. 313-322
    • Segalman, D.J.1    Dohrmann, C.R.2
  • 31
    • 2542586138 scopus 로고    scopus 로고
    • Dynamic characteristics of a flexible bladed-rotor with Coulomb damping due to tip-rub
    • S.K. Sinha, Dynamic characteristics of a flexible bladed-rotor with Coulomb damping due to tip-rub, J. Sound Vib. 273 (4-5) (2004) 875-919.
    • (2004) J. Sound Vib. , vol.273 , Issue.4-5 , pp. 875-919
    • Sinha, S.K.1
  • 32
  • 33
    • 4644271328 scopus 로고
    • On the statistics of chaotic vibro-impact
    • G.S. Whiston, On the statistics of chaotic vibro-impact, J. Sound Vib. 116 (3) (1987) 598-603.
    • (1987) J. Sound Vib. , vol.116 , Issue.3 , pp. 598-603
    • Whiston, G.S.1
  • 34
    • 0023983372 scopus 로고
    • On the threshold force for chaotic motions for a forced buckled beam
    • D.M. Tang, E.H. Dowell, On the threshold force for chaotic motions for a forced buckled beam, ASME J. Appl. Mech. 55 (1988) 190-196.
    • (1988) ASME J. Appl. Mech. , vol.55 , pp. 190-196
    • Tang, D.M.1    Dowell, E.H.2
  • 35
    • 0024621907 scopus 로고
    • The onset of chaos in a two-degrees-of-freedom impacting system
    • J. Shaw, S.W. Shaw, The onset of chaos in a two-degrees-of-freedom impacting system, ASME J. Appl. Mech. 56 (1989) 168-174.
    • (1989) ASME J. Appl. Mech. , vol.56 , pp. 168-174
    • Shaw, J.1    Shaw, S.W.2
  • 36
    • 4544358594 scopus 로고    scopus 로고
    • Period-doubling bifurcation and non-typical route to chaos of a two-degree-of-freedom vibro-impact system
    • G.L. Wen, J.H. Xie, Period-doubling bifurcation and non-typical route to chaos of a two-degree-of-freedom vibro-impact system, ASME J. Appl. Mech. 68 (4) (2001) 670-674.
    • (2001) ASME J. Appl. Mech. , vol.68 , Issue.4 , pp. 670-674
    • Wen, G.L.1    Xie, J.H.2
  • 37
    • 0003649677 scopus 로고
    • The Macmillan Company, Collier-Macmillan Limited, London
    • L. Meirovitch, in: Analytical Methods in Vibrations, The Macmillan Company, Collier-Macmillan Limited, London, 1989, pp. 225-235.
    • (1989) Analytical Methods in Vibrations , pp. 225-235
    • Meirovitch, L.1
  • 39
    • 0024771324 scopus 로고
    • Stability of viscoelsstic rotor-disk system under dynamic axial loads
    • S.K. Sinha, Stability of viscoelsstic rotor-disk system under dynamic axial loads, AIAA J. 27 (1989) 1653-1655.
    • (1989) AIAA J. , vol.27 , pp. 1653-1655
    • Sinha, S.K.1
  • 40
    • 0026837141 scopus 로고
    • On general conditions of rotordynamic stability under combined axial forces and torque
    • S.K. Sinha, On general conditions of rotordynamic stability under combined axial forces and torque, ASME J. Appl. Mech. 59 (1992) 225-228.
    • (1992) ASME J. Appl. Mech. , vol.59 , pp. 225-228
    • Sinha, S.K.1
  • 42
    • 0345512184 scopus 로고
    • New high order Runge-Kutta formulas with stepsize control for systems of first- And second-order differential equations
    • E. Fehlberg, New high order Runge-Kutta formulas with stepsize control for systems of first- and second-order differential equations, Z. Angew. Math. Mech. (ZAMM) 44 (1964) 17-29.
    • (1964) Z. Angew. Math. Mech. (ZAMM) , vol.44 , pp. 17-29
    • Fehlberg, E.1
  • 45
    • 4644316904 scopus 로고    scopus 로고
    • Non-linear Stability analysis of a complex rotor/stator contact system
    • available on-line February 4
    • J.J. Sinou, F. Thouverez, L. Jezequel, Non-linear Stability analysis of a complex rotor/stator contact system, J. Sound Vib. available on-line February 4, 2004 (38pp).
    • (2004) J. Sound Vib.
    • Sinou, J.J.1    Thouverez, F.2    Jezequel, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.