한국소음진동공학회논문집 (Transactions of the Korean Society for Noise and Vibration Engineering)

  • 제21권4호
  • /
  • Pages.384-391
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  • 2011
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
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일정체적을 갖는 포물선형 중공 보-기둥의 자유진동 해석

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

  • 이태은 (원광대학교 토목환경공학과) ;
  • 이병구 (원광대학교 토목환경공학과)
  • 투고 : 2011.03.08
  • 심사 : 2011.04.04
  • 발행 : 2011.04.20
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초록

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.

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참고문헌

  1. Craig, R. R., 1981, Structural Dynamics, An Introduction to Computer Methods, John Wiley & sons, Inc., pp. 381-445.
  2. Lee, T. E., Lee, B. K., Lee, J. Y. and Yoon, H. M., 2008, In-plane Free Vibration Analysis of Paraboli Arches with Hollow Section, Transactions of the Korea Society for Noise and Vibration Engineering, Vol. 18, No. 2, pp. 215-223. https://doi.org/10.5050/KSNVN.2008.18.2.215
  3. Hikami, Y., 1982, Wind Tunnel Test Methods and Facilities for Bridge Aerodynamic Stability Investigation, IHI Report, Vol. 6, pp. 47-52.
  4. Haftka, R. T., Grudal, Z. and Kamat, M. P., 1990, Elements of Structural Optimization, Kluwer Academic Publisher, Netherlands.
  5. Lee, B. K. and Wilson, J. F., 1989, Free Vibrations of Arches with Variable Curvature, Journal of Sound and Vibration, Vol. 136, pp. 75-89.
  6. Clough, R. W. and Penzien, J., 1975, Dynamics of Structures, McGraw-Hill.
  7. Mo, J. M., 1992, Free Vibrations of Tapered Columns under Axial Loads, Wonkwang University, Korea.
  8. Al-Khafaji, A. W. and Tooley, J. R., 1986, Numerical Methods in Engineering Practice, Holt, Rinehart and Winston, Inc.
  9. Lee, T. E., Yoon, H. M., Park, C. E. and Jeong, K. S., 2010, Free Vibrations of Beam-columns with Squared Hollow Section, CD of Conference on Korean Society of Steel Construction, pp. 223-224.

피인용 문헌

  1. Free Vibrations of Timoshenko Beam with Constant Volume vol.22, pp.3, 2012, https://doi.org/10.5050/KSNVE.2012.22.3.223