Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Vibration Analysis of a Rotating Cantilever Beam Having Tapered Cross Section

테이퍼진 단면을 가진 회전 외팔보의 진동해석

  • 이준희 (한양대학교 대학원 기계공학과) ;
  • 유홍희 (한양대학교 기계공학부)
  • Published : 2009.04.20
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Abstract

A vibration analysis for a rotating cantilever beam with the tapered cross section is presented in this study. The stiffness changes due to the stretching caused by centrifugal inertia forces when a tapered cantilever beam rotates about the axis perpendicular to its longitudinal axis. When the cross section of cantilever beam are assumed to decrease constantly, the mass and stiffness also change according to the variation of the thickness and width ratio of a tapered cantilever beam. Such phenomena result in variations of natural frequencies and mode shapes. Therefore it is important to the equations of motion in order to be obtained accurate predictions of these variations. The equations of motion of a rotating tapered cantilever beam are derived by using hybrid deformation variable modeling method and numerical results are obtained along with the angular velocity and the thickness and width ratio.

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References

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Cited by

  1. Exact Solutions for Bending Vibration of Beam with Linearly Reduced width Along Its Length vol.25, pp.6, 2015, https://doi.org/10.5050/KSNVE.2015.25.6.420
  2. Exact Solution for Bending Vibration of Rotating Cantilever Beam with Tapered Width Using Transfer Matrix Method vol.26, pp.1, 2016, https://doi.org/10.5050/KSNVE.2016.26.1.075