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http://dx.doi.org/10.5050/KSNVE.2011.21.6.570

Free Vibrations of Circular Curved Beams with Constant Volume  

Lee, Byoung-Koo (원광대학교 토목환경공학과)
Lee, Tae-Eun (원광대학교 토목환경공학과)
Choi, Jong-Min (원광대학교 대학원 토목환경공학과)
Park, Chang-Eun (원광대학교 대학원 토목환경공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.21, no.6, 2011 , pp. 570-579 More about this Journal
Abstract
This paper deals with free vibrations of the circular curved beams with constant volume, whose cross sectional shapes are the circular solid cross-sections. Volumes of the objective beam are always held in constant regardless shape functions of the cross-sectional radius. The shape functions are chosen as the linear, parabolic and sinusoidal ones. Ordinary differential equations governing free vibrations of such beam are derived and solved numerically for determining the natural frequencies. In numerical examples, the hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. As the numerical results, relationships between frequency parameters and various beam parameters such as rise ratio, section ratio, elasticity ratio, volume ratio, slenderness ratio and taper type are reported in tables and figures.
Keywords
Free Vibration; Circular Curved Beam; Constant Volume; Circular Cross-section; Natural Frequency;
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Times Cited By KSCI : 1  (Citation Analysis)
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