Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
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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)
  • Published : 2004.04.01
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Abstract

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.

Keywords

References

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