한국해양공학회지 (Journal of Ocean Engineering and Technology)

  • 제18권2호
  • /
  • Pages.46-51
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  • 2004
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  • 1225-0767(pISSN)
  • /
  • 2287-6715(eISSN)
한국해양공학회 (Korean Society of Ocean Engineers)
권호 표지

Natural Frequencies of Beams with Step Change in Cross-Section

  • Kim, Yong-Cheul (School of Mechanical Engineering, Yeungnam University) ;
  • Nam, Alexander-V. (School of Mechanical Engineering, Yeungnam University)
  • 발행 : 2004.04.01
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초록

Natural frequencies of the transverse vibration of beams with step change in cross-section are obtained by using the asymptotic closed form solution. This closed form solution is found by using WKB method under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is found to be still very accurate even in the case of large variation in cross-section and tension. Therefore, this result can be easily applied to many engineering problems.

키워드

참고문헌

  1. Ph.D.Thesis, Department of Ocean Engineering, M.I.T. Nonlinear Vibrations of Long Slender Beams Kim,Y.C.
  2. Transactions of the ASME v.110 Natural frequencies and Critical Buckling Loads of Marine Risers Kim,Y.C.
  3. ASME Journal of Energy Resources Technology v.106 The Nonlinear Dynamics of Long Slender Cylinders Kim,Y.C.;Triantafyllou,M.S.
  4. Journal of Sound and Vibration v.252 Natural Frequencies,Sensitivity and Mode Shape Details of an Euler-Bernoulli Beam with One-Step Change in Cross-Section and with Ends on Classical Supports Naguleswaran,S.
  5. International Journal of Mechanical Sciences v.44 Vibration of an Euler-Bernoulli Beam on Elactic End Supports and with up to Three Step Changes in Cross-Section Naguleswaran,S.
  6. Formulas for Structural Dynamics Karnovsky,I.A.;Lebed,O.I.
  7. Mechanical Vibration, Theory and Application to Structural Dynamics Geradin,M.;Rixen,D.
  8. Journal of Sound and Vibration v.49 Vibration of Stepped Strings and Beams Levinson,M.
  9. Journal of Sound and Vibration v.130 Free Vibrations of Stepped Beams: Exact and Numerical Solutions Jang,S.K.;Bert,C.W.
  10. Journal of Sound and Vibration v.132 Free Vibrations of Stepped Beams: Higher Mode Frequencies and Effects of Steps on Frequency Jang,S.K.;Bert,C.W.
  11. Journal of Ocean Engineering and Technology v.6 no.1 Natural Frequencies of a Beam on Inhomogeneous Foundation Kim,Y.C.