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Free Vibration of Horizontally Curved Beams with Clothoid Transient Curve  

이병구 (정회원·원광대학교 토목환경공학과)
진태기 (학생회원·원광대학교 대학원)
이태은 (학생회원·원광대학교 대학원)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.15, no.1, 2002 , pp. 189-195 More about this Journal
Abstract
This paper deals with the free vibration of horizontally curved beams with transition currie. Based on the dynamic equilibrium equations of a curved beam element subjected to the stress resultants and inertia forces, the governing differential equations are derived for the out-of-plane vibration of curved beam with variable curvature. These equations are applied to the beam having transition curve in which the clothiod curve is chosen in this study. The differential equations are solved by the numerical methods lot calculating the natural frequencies and mode shapes. For verifying theories developed herein, the frequency parameters obtained from this studs and ADINA are compared with each other. As the numerical results, the various parametric studies effecting on natural frequencies are investigated and those results are presented in tables and figures.
Keywords
Clothoid Curve; Dynamic Equilibrium; Free Vibration; Horizontally Curved Beam; Inertia Force; Natural;
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1 A. K. Gupta and W. P. Howson, 'Exact Natural Frequencies of Plane Structures Composed of Slender Elastic Curved Members', Journal of Sound and Vibration, Vol. 175, No. 2, 1994, pp.145-157   DOI   ScienceOn
2 이병구, 이광범, 오상진, 진태기, '뒴과 회전관성을 고려한 수평 곡선보의 자유진동 해석,' 한국전산구조공학회 논문집, 제14권, 제1호, 2001, pp. 35-42
3 B. K. Lee, K. K. Park, S. J. Oh and T. K. Jin, 'Free Vibrations of Non-Circular Curved Beams Resting on Pasternak Foundation', Proceedings of APCOM'01, University of New South Wales, Sydney, Australia, 2001, pp. 1497-1502
4 S. P. Timoshenko, D. H. Young and W. Weaver, Jr., Vibration Problems in Engineering, 4th Edition, John Wiley & Sons, Inc, 1974
5 A. W. Al-Khafaji and J. R. Tooley, Numerical Methods in Engineering Practice, Holt, Rinehart and Winston, 1986
6 J. Uren and W. F. Price, Surveying for Engineers, Macmillan Press Ltd, 1994
7 J. M. Snyder and J. F. Wilson, 'Free Vibrations of Continuous Horizontally Curved Beams', Journal of Sound and Vibration, Vol. 157, No. 2, 1992, pp.345-355   DOI   ScienceOn
8 강영종, 최영준, '박판 수평곡선보의 자유진동,' 한국강구조학회 논문집, 제7권, 제4호, 1995, pp. 243-252
9 E. Volterra and J. H. Gaines, Advanced Strength of Materials, Prentice-Hall, 1971, pp.356-358
10 이병구, 진태기, 최규문, 이태은, '여러 개의 스프링으로 탄성 지지된 수평 곡선보의 자유진동,' 한국소음진동학회 논문집, 제11권, 제5호, 2001, pp.101-107
11 S. J Oh, B. K Lee and I. W Lee, 'Natural Frequencies of Non-circular Arches with Rotatory Inertia and Shear Deformation', Journal of Sound and Vibration, Vol. 219, 1999, pp.23-33   DOI   ScienceOn