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Free Vibrations of Arches with Rectangular Hollow Section having Constant Area  

Lee, Tae-Eun (원광대학교 토목환경공학과)
Lee, Byoung-Koo (원광대학교 토목환경공학과)
Park, Kwang-Kyou (대전대학교 토목공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.21, no.4, 2008 , pp. 357-364 More about this Journal
Abstract
This paper deals with the free vibrations of arches with rectangular hollow section having constant area. The differential equations governing free vibrations of arches are derived in polar coordinates, in which the effect of rotatory inertia is included. Natural frequencies is computed numerically for parabolic arches with clamped-clamped, clamped-hinged and hinged-hinged ends. Comparisons of natural frequencies between this study and reference are made to validate theories and numerical methods developed herein. The lowest four natural frequency parameters are reported, with the rotatory inertia, as functions of three non-dimensional system parameters: the breadth ratio, the thickness ratio and the shape ratio
Keywords
free vibration; parabolic arches; rectangular hollow section; constant area; natural frequency;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 Wilson, J.F., Lee, B.K. (1995) Free Vibrations of Catenary Arches with Unsymmetric Axes, Structural Engineering and Mechanics, An International Journal, 3(5), pp.511-525
2 오상진, 서종원, 이병구 (2002) 두 개의 매개변수로 표현되는 탄성지반 위에 놓인 낮은 아치의 최저차 대칭 및 역대칭 고 유진동, 한국전산구조공학회 논문집, 15(2), pp.367-377
3 Lee, B.K., Oh, S.J. (1996) Planar Free Vibrations of Stepped Arches, Proceeding of 3rd Asian-Pacific Conference on Computational Mechanics, Seoul, pp.815-820
4 Al-Khafaji, A.W., Tooley, J.R. (1986) Numerical Methods in Engineering Practice, Holt, Rinehart and Winston, Inc
5 Maurizi, M. J., Rossi R. E., Belles, P. M. (1991) Lowest Natural Frequency of Clamped Circular Arcs of Linearly Tapered Width, Journal of Sound and Vibration, 144(3), pp.357-361   DOI   ScienceOn
6 Borg, S.F., Gennaro, J.J. (1959) Advanced Structural Analysis, New Jersey: Van Nostrand
7 Haftka, R.T., Grudal, Z., Kamat, M.P. (1990) Element of Structural Optimization, Kluver Academic Publisher
8 Hikami, Y. (1982) Wind Tunnel Test Methods and Facilities for Bridge Aerodynamic Stability Investigation, IHI Report, 6, pp.47-52
9 Auciello, N.M., De Rosa, M.A. (1994) Free Vibrations of Circular Arches : A Review, Journal of Sound and Vibration, 176(4), pp.433-458   DOI   ScienceOn
10 Lee, B.K., Wilson, J.F. (1990) Free Vibrations of Arches with Variable Curvature, Journal of Sound and Vibration, 136(1), pp.75-89
11 Johnson, E.R. (1982) Load-Frequency Relations for a Clamped Shallow Circular Arch, AIAA Journal, 20, pp.1763-1765   DOI   ScienceOn