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 Circular Curved Beams with Constant Volume

일정체적 원호형 곡선보의 자유진동

  • 이병구 (원광대학교 토목환경공학과) ;
  • 이태은 (원광대학교 토목환경공학과) ;
  • 최종민 (원광대학교 대학원 토목환경공학과) ;
  • 박창은 (원광대학교 대학원 토목환경공학과)
  • Received : 2011.04.05
  • Accepted : 2011.04.25
  • Published : 2011.06.20
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Abstract

This paper deals with free vibrations of the circular curved beams with constant volume, whose cross sectional shapes are the circular solid cross-sections. Volumes of the objective beam are always held in constant regardless shape functions of the cross-sectional radius. The shape functions are chosen as the linear, parabolic and sinusoidal ones. Ordinary differential equations governing free vibrations of such beam are derived and solved numerically for determining the natural frequencies. In numerical examples, the hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. As the numerical results, relationships between frequency parameters and various beam parameters such as rise ratio, section ratio, elasticity ratio, volume ratio, slenderness ratio and taper type are reported in tables and figures.

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References

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