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Structural Engineering and Mechanics Volume 2, Number 4, December 1994 , pages 345-357 DOI: https://doi.org/10.12989/sem.1994.2.4.345 |
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Free vibrations of circular arches with variable cross-section |
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James F. Wilson, Byoung Koo Lee and Sang Jin Oh
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| Abstract | ||
| The differential equations governing free, in-plane vibrations of linearly elastic 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 for computing frequencies and mode shapes are efficient and reliable. | ||
| Key Words | ||
| circular arch; free vibration; mode shape; quadratic arch; rotatory inertia; variable cross-section. | ||
| Address | ||
| Department of Civil Engineering, Duke University, Durham, NC 27708-0287, U.S.A. Department of Civil Engineering, Wonkwang University, Iri, Junbuk 570-749, Korea | ||