Structural Engineering and Mechanics

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Free vibrations of circular arches with variable cross-section

  • Wilson, James F. (Department of Civil Engineering, Duke University) ;
  • Lee, Byoung Koo (Department of Civil Engineering, Wonkwang University) ;
  • Oh, Sang Jin (Department of Civil Engineering, Wonkwang University)
  • Published : 1994.12.25
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Abstract

The differential equations governing free, in-plane vibrations of linearly elastic circular arches with variable cross-sections are derived and solve numerically for quadratic arches with three types of rectangular cross sections. Frequencies, mode shapes, cross-sectional load distributions, and the effects of rotatory inertia on frequencies are reported. Experimental measurements of frequencies and their corresponding mode shapes agree closely with those predicted by theory. The numerical methods presented here for computing frequencies and mode shapes are efficient and reliable.

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References

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