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http://dx.doi.org/10.12652/Ksce.2014.34.4.1043

In-plane Free Vibrations of Horseshoe Circular Arch  

Lee, Byoung Koo (Wonkwang University)
Oh, Sang Jin (Jeonnam Provincial College)
Lee, Tae Eun (Wonkwang University)
Publication Information
KSCE Journal of Civil and Environmental Engineering Research / v.34, no.4, 2014 , pp. 1043-1052 More about this Journal
Abstract
This paper deals with in-plane free vibrations of the horseshoe circular arch. Simultaneous ordinary differential equations governing free vibration of the arch are derived with respect to the radial and tangential deformations. Particularly, differential equations are obtained under the arc length coordinate rather than the angular one in order to extend the horseshoe arch whose subtended angle is greater than ${\pi}$ radians. The differential equations are numerically solved for calculating the natural frequencies accompanying with the corresponding mode shapes. In parametric studies, effects of the rotatory inertia, slenderness ratio and circumferential arc length ratio on frequency parameters are extensively discussed.
Keywords
Horseshoe arch; Circular arch; In-plane free vibration; Arc length coordinate; Natural frequency; Mode shape;
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