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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Free Vibrations of Tapered Beams with Constant Surface Area

일정표면적 변단면 보의 자유진동

  • 이병구 (원광대학교 토목환경공학과) ;
  • 오상진 (전남도립대학 토목환경과) ;
  • 박창은 (원광대학교 대학원 토목환경공학과) ;
  • 이태은 (원광대학교 토목환경공학과)
  • Received : 2010.11.18
  • Accepted : 2010.11.30
  • Published : 2011.01.20
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Abstract

This paper deals with free vibrations of the tapered beams with the constant surface area. The surface area of the objective beams are always held constant regardless shape functions of the cross-sectional depth. The shape functions are chosen as the linear and parabolic ones. Ordinary differential equations governing free vibrations of such beams are derived and solved numerically for determining the natural frequencies. In the numerical examples, hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. As the numerical results, the relationships between non-dimensional frequency parameters and various beam parameters such as section ratio, surface area ratio, end constraint and taper type are reported in tables and figures. Especially, section ratios of the strongest beam are calculated, under which the maximum frequencies are achieved.

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References

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