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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

In-plane Free Vibration Analysis of Parabolic Arches with Hollow Section

중공단면을 갖는 포물선형 아치의 면내 자유진동 해석

  • 이태은 (원광대학교 토목환경공학과) ;
  • 이병구 (원광대학교 토목환경공학과) ;
  • 이재영 (호원대학교 토목환경공학과) ;
  • 윤희민 (원광대학교 대학원 토목환경공학과)
  • Published : 2008.02.20
Download PDF
⟨ Previous Next ⟩

Abstract

The differential equations governing free vibrations of the elastic arches with hollow section are derived in polar coordinates, in which the effect of rotatory inertia is included. Natural frequencies is computed numerically for parabolic arches with both clamped ends and both 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 rise to span length ratio.

Keywords

References

  1. Hikami, Y., 1982, 'Wind Tunnel Test Methods and Facilities for Bridge Aerodynamic Stability Investigation', IHI Report, Vol. 6, pp. 47-52
  2. Johnson, E. R., 1982, 'Load-Frequency Relations for a Clamped Shallow Circular Arch', AIAA Journal, Vol. 20, pp. 1763-1765 https://doi.org/10.2514/3.8019
  3. Auciello, N. M. and De Rosa, M. A., 1994, 'Free Vibrations of Circular Arches: A Review', Journal of Sound and Vibration, Vol. 176, No. 4, pp. 433-458 https://doi.org/10.1006/jsvi.1994.1388
  4. Wilson, J. F. and Lee, B. K., 1995, 'Free Vibrations of Catenary Arches with Unsymmetric Axes', Structural Engineering and Mechanics, An International Journal, Vol. 3, No. 5, pp. 511-525 https://doi.org/10.12989/sem.1995.3.5.511
  5. Lee, B. K., Lee, Y. S. and Oh, S. J., 2000, 'Free Vibrations of Tapered Cantilever Arches with Variable Curvature', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 10, No. 2, pp. 353-360
  6. Maurizi, M. J., Rossi R. E. and Belles, P. M., 1991, 'Lowest Natural Frequency of Clamped Circular Arcs of Linearly Tapered Width', Journal of Sound and Vibration, Vol. 144, No. 3, pp. 357-361 https://doi.org/10.1016/0022-460X(91)90755-9
  7. Lee, B. K. and Oh, S. J., 1996, 'Planar Free Vibrations of Stepped Arches', Proceeding of 3rd Asian-Pacific Conference on Computational Mechanics, Seoul, pp. 815-820
  8. Borg, S. F. and Gennaro, J. J., 1959, Advanced Structural Analysis, New Jersey: Van Nostrand
  9. Lee, B. K. and Wilson, J. F., 1989, 'Free Vibrations of Arches with Variable Curvature', Journal of Sound and Vibration, Vol. 136, No. 1, pp. 75-89 https://doi.org/10.1016/0022-460X(90)90939-W
  10. Al-Khafaji, A. W. and Tooley, J. R., 1986, Numerical Methods in Engineering Practice, Holt, Rinehart and Winston, Inc

Cited by

  1. Nonlinear Dynamic Analysis of Space Truss by Using Multistage Homotopy Perturbation Method vol.22, pp.9, 2012, https://doi.org/10.5050/KSNVE.2012.22.9.879