Journal of the Korea institute for structural maintenance and inspection (한국구조물진단유지관리공학회 논문집)

Korea Institute for Structural Maintenance Inspection (한국구조물진단유지관리공학회)
권호 표지
DOI QR코드

DOI QR Code

Application of Vibration Method for Estimation of Tension Force of Stay Cables in World-Cup Stadiums

월드컵경기장 지지케이블의 장력추정을 위한 진동법의 적용성 평가

  • 장극관 (국립서울산업대학교 건축학부)
  • Received : 2009.08.14
  • Accepted : 2009.10.16
  • Published : 2009.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

This study is to consider the character of cables in six World-Cup stadiums constructed in 2002 and to inspect problems on measurement natural frequencies interpretation and application of existing theory. The results of the experiment were shown that it was possible to determine the tension force of the real cables with an accuracy of 8% by taking the cable bending stiffness. But for the range of cable affected greatly by bending stiffness(${\xi}{\leq}7$), it was appeared the tendency to increase estimated error and was considered to need additional study of this range. Estimated tension error could not be improved so much in comparison to the case using single mode of vibration even through multiple modes of vibration were used.

본 연구에서는 대공간 구조물로서 2002년 건축된 6개 월드컵경기장 인장케이블의 특성과 관련하여 케이블의 고유진동수와 이를 이용한 기존 이론식들의 적용성에 대하여 실험적으로 검토하였다. 실험결과, 케이블의 휨강성을 고려함으로서 8%이내의 정확도를 가지고 케이블의 인장력을 추정할 수 있는 것으로 나타났으나 휨강성의 영향이 큰 범위(${\xi}{\leq}7$)에 있어서는 추정오차가 증가하는 경향을 나타내고 있어 이 범위에 대해서는 추가적인 연구가 필요한 것으로 사료되며, 다중진동모드를 사용하더라도 단일진동모드를 사용하는 경우와 비교하여 장력추정 오차는 크게 개선할 수 없는 것으로 나타났다.

Keywords

References

  1. 김남식, 정운, "진동법을 이용한 인장 케이블의 장력추정에 관한 연구", 한국소음진동공학회 논문집, 제12권, 제12호, 2002, pp.956-963
  2. Burgess, J. J. and Triantafyllou, M. S., "The elastic Frequencies of cables." J. Sound and Vibration, 120(1), 1988, 153-165 https://doi.org/10.1016/0022-460X(88)90340-9
  3. Casas, J.R., "A combined metood for measuring cable forces : The cable-stayed Alamillo Bridge",Spain Struct. Eng. Int., 3, 1994, 235-240
  4. Cheng, S.-P., and Perkins, N. C., "Theoretical and experimental analysis of the forced responseof sagged cable/mass suspensions." J. Appl. Mech, 61(4), 1994, 944-948 https://doi.org/10.1115/1.2901583
  5. Cheng, S.-P., and Perkins, N. C., "Free vibration of complex cable/mass systems: Theory and experiment." J. Sound and Vibration, 179(1), 1995, 131-149 https://doi.org/10.1006/jsvi.1995.0008
  6. Cunha, A., Caetano. E. and Delgado, R., "Dynamic tests on large cable-stayed bridge", J. Bridge Eng., ASCE, 6, 2001, 54-62
  7. Irvine, H.M. and Caughey, T. K., "The Linear Theory of Free Vibrations of a Suspended Cable,"Proceedings of the Royal society Series A, Vol. 341, 1974, pp. 299-315 https://doi.org/10.1098/rspa.1974.0189
  8. J.C. Russell,, T.J. Lardner, Experimental determination of frequencies and tension for elastic cables, Lournal of engineering mechanics,Vol.124, No. 10, October, 1998
  9. Mehrabi A. and Tabatabai H., Unified finite difference formulation for free vibration of cables,Journal of Structural Engineering, Vol. 124, No.11, 1998, pp.1313-1322 https://doi.org/10.1061/(ASCE)0733-9445(1998)124:11(1313)
  10. Ray W. Clough and J. Penzien, Dynamics of structures, McGraw-Hill, 2nd Ed., 1993
  11. Robert J.L. et al., Measure de la tension des cables par methode vibratoire, Technical Report 173, liaison des laboratoires des ponts et chaussees,France, 1991, pp.109-114(in French)
  12. Saxon, D. C. and Cahn, A. S., "Modes of vibration of a suspended chain." Quarterly L. Mech. and Appl. Mathematics, 6(3), 1953, 273-285 https://doi.org/10.1093/qjmam/6.3.273
  13. Shimada. T., Estimating method of cable tension from natural frequency of high mode, Proc., JSCE, 501/1-29, 1994, pp.163-171(in Japanese)
  14. Shinke, T., Hironaka, K., et al., "Practical formulas for estimation of cable tension by vibration method." Proc., JSCE, 294, 1980, 25-34(in Japanese)
  15. Triantafyllou, M. S., "Preliminary design of mooring systems." J. Ship Ren., 26(1), 1982, 25-35
  16. Triantafyllou, M. S., "The dynamics of taut inclined cables." Quarterly J. Mech. and Appl. Mathematics,37(3), 1984, 421-440 https://doi.org/10.1093/qjmam/37.3.421
  17. Triantafyllou, M. S. and Grinfogel, L., "Natural frequencies and modes of inclined cables." J. Struct. Div., ASCE, 112(1), 1986, 139-148
  18. Wei-Xin Ren et al., Empirical formulas to estimate cable tension by cable fundamental frequency, J. of Strut. Eng., and Mech. Vol. 20, No. 3, 2005,pp.363-380 https://doi.org/10.12989/sem.2005.20.3.363
  19. Yen, W.H.P., Mehrabi, A.B. and Tabatabai, H., "Estimation of stay cable tension using a nondestructive vibration technique", Building to Last: Proc. of the 15th Structures Congress, ASCE, 1, 1997, 503-507
  20. Zui H. et al., Practical formulas for estimation of cable tension by vibration method, J. of Strut. Eng. Vol. 122, No.6, ASCE, 1996, pp.661-666