Free Vibrations of Tapered Horseshoe Circular Arch with Constant Volume

This paper presents free vibrations of the tapered horseshoe circular arch with a constant volume. The volume of the arch is constant, and the cross-sectional shape of the arch is square and circular. The taper function of the arch is a quadratic function. Differential equations with the boundary co...

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Veröffentlicht in:Applied sciences 2020-08, Vol.10 (16), p.5431
Hauptverfasser: Lee, Byoung Koo, Kim, Gweon Sik, Oh, Sang Jin, Lee, Tae Eun
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Sprache:eng
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Zusammenfassung:This paper presents free vibrations of the tapered horseshoe circular arch with a constant volume. The volume of the arch is constant, and the cross-sectional shape of the arch is square and circular. The taper function of the arch is a quadratic function. Differential equations with the boundary conditions that govern the free vibration of such arches are derived and numerically solved to calculate natural frequencies and mode shapes. The natural frequencies of this study agree well with those of the finite element ADINA. Parametric studies of the geometrical and cross-sectional properties of the arch on frequencies and mode shapes are performed and discussed.
ISSN:2076-3417
2076-3417
DOI:10.3390/app10165431