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http://dx.doi.org/10.5050/KSNVN.2003.13.1.063

Free Vibrations of Horizontally Curved Beams with Rotatory Inertia and Shear Deformation  

이병구 (원광대학교 토목환경도시공학부)
모정만 (전주농림고등학교)
이태은 (원광대학교 대학원 토목환경공학과)
안대순 (신한개발기술단)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.13, no.1, 2003 , pp. 63-69 More about this Journal
Abstract
The ordinary differential equations governing free vibrations of elastic horizontally curved beams are derived, in which the effects of rotatory inertia and shear deformation as well as the effects of both vertical and torsional inertias are included. Frequencies and mode shapes are computed numerically for parabolic curved beams with the hinged-hinged, hinged-clamped and clamped-clamped ends. Comparisons of natural frequencies between this study and ADINA are made to validate the theories and numerical methods developed herein. The lowest three natural frequency parameters are reported. with and without the effects of rotatory inertia and shear deformation. as functions of the three non-dimensional system parameters: the horizontal rise to span length ratio. the slenderness ratio and the stiffness parameter.
Keywords
Rotatory Inertia; Torsional Inertia; Horizontally Curved Beam; Shear Deformation; Free Vibration; Natural Frequency;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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