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http://dx.doi.org/10.5050/KSNVE.2011.21.4.384

Free Vibration Analysis of Parabolic Hollowed Beam-columns with Constant Volume  

Lee, Tae-Eun (원광대학교 토목환경공학과)
Lee, Byoung-Koo (원광대학교 토목환경공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.21, no.4, 2011 , pp. 384-391 More about this Journal
Abstract
This paper deals with free vibrations of the parabolic hollowed beam-columns with constant volume. The cross sections of beam-column taper are the hollowed regular polygons whose depths are varied with the parabolic functional fashion. Volumes of the objective beam-columns are always held constant regardless given geometrical conditions. Ordinary differential equation governing free vibrations of such beam-columns are derived and solved numerically for determining the natural frequencies. In the numerical examples, hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. As the numerical results, the relationships between non-dimensional frequency parameters and various beam-column parameters such as end constraints, side number, section ratio, thickness ratio and axial load are reported in tables and figures.
Keywords
Free Vibration; Beam-column; Hollowed Section; Parabolic Taper; Constant Volume; Natural Frequency;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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