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 Circular Arches with Constant Volume

일정체적 변단면 원호형 아치의 자유진동

  • 이병구 (원광대학교 토목환경공학과) ;
  • 이태은 (원광대학교 토목환경공학과) ;
  • 윤희민 (원광대학교 대학원 토목환경공학과) ;
  • 최종민 (원광대학교 대학원 토목환경공학과)
  • Published : 2010.02.20
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Abstract

This paper deals with free vibrations of the tapered circular arches with constant volume, whose cross sectional shape is the solid regular polygon. Volumes of the objective arches are always held constant regardless shape functions of the cross-sectional depth. The shape functions are chosen as the linear, parabolic and sinusoidal ones. Ordinary differential equations governing free vibrations of such arches 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 arch parameters such as rise ratio, section ratio, side number, volume ratio and taper type are reported in tables and figures.

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References

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  1. Free Vibrations of Circular Curved Beams with Constant Volume vol.21, pp.6, 2011, https://doi.org/10.5050/KSNVE.2011.21.6.570