Free Vibrations of Tapered Horseshoe Circular Arch with Constant Volume
Source abstract
Abstract
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.
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Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Vibration and Dynamic Analysis · Structural Load-Bearing Analysis
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Affiliations
Department of Civil and Environmental Engineering, Wonkwang University, 460 Iksan-daero, Iksan-si, Jeollabuk-do 54538, Korea
Department of Civil and Environmental Engineering, Jeonnam State University, 152 Jookrokwon-ro, Damyang-eup, Jeollanam-do 57337, Korea
School of Architecture, Civil and Landscape Engineering, Donggang University, 50 Dongmoon-daero, Buk-gu, Kwangju-si 61200, Korea
Funding
Wonkwang University
References (25)
Show source-provided references
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