DOI QR코드

DOI QR Code

Behavior Analysis of PPWS Sockets for Suspension Bridges Considering Frictional Contact

마찰 접촉을 고려한 현수교 PPWS용 소켓의 거동 해석

  • 유훈 (현대건설(주) 연구개발본부 토목연구개발실) ;
  • 이성형 (현대건설(주) 연구개발본부 토목연구개발실) ;
  • 서주원 (현대건설(주) 연구개발본부 토목연구개발실)
  • Received : 2012.08.21
  • Accepted : 2013.06.03
  • Published : 2013.07.30

Abstract

A sophisticated finite element model is illustrated to analyze the behavior of Prefabricated Parallel Wire Strand(PPWS) sockets for main cables of suspension bridges. An orthotropic model is proposed for the casting material by considering both effects of individual wires and a casting alloy, and the contact between surfaces of a socket and a casting alloy is idealized by using the Coulomb friction and the surface-based contact model. The proposed FE model is verified by comparing the strain distributions obtained from the tensile test and FE analysis. The mechanical behavior of a socket is investigated with respect to the variation of the frictional coefficient. The result shows that the friction between surfaces significantly diminishes the stress concentration of a socket and a casting alloy, and the normal stress from the design equation represents the averaged value of the upper and lower quartiles in the distribution of contact stresses between a socket and a casting alloy.

현수교 주케이블용 평행강선 스트랜드(PPWS) 소켓의 엄밀한 수치해석을 위한 유한요소해석 모델을 제안하였고, 제안된 해석 모델을 이용하여 소켓의 거동을 분석하였다. 개별 강선과 소켓 내부 주입 합금재의 영향을 고려한 직교 이방성 재료 모델을 적용하였고, Coulomb 마찰 및 표면접촉 모델을 도입하여 소켓 내면과 주입 합금재 표면의 접촉 상태를 구현하였다. 인장 실험으로부터 측정된 소켓 외면의 변형율과 유한요소 해석 결과를 비교하여 제안된 유한요소 해석 모델의 타당성을 검증하였고, 마찰계수의 변화에 따른 소켓의 거동을 해석하였다. 해석 결과, 소켓 내면과 주입 합금재 표면의 마찰은 소켓과 주입 합금재에 발생하는 응력 집중을 크게 완화 시켰으며, 소켓 설계법에서 정의된 수직응력식은 소켓 내면과 주입 합금재 표면의 접촉응력 분포에서 상하부 사분위값의 평균을 대표하는 것으로 나타났다.

Keywords

Acknowledgement

Supported by : 국토해양부

References

  1. Brandon, J. E., Chaplin C. R. and Ridge, I. M. L. (2001). "Analysis of a resin socket termination for a wire rope." J. of Strain Anal. Eng., Vol. 36, No. 1, pp. 71-88. https://doi.org/10.1243/0309324011512621
  2. Brandon, J. E. and Ridge, I. M. L. (2003). "Comparison of white metal and resin socket terminations for wire ropes." J. of Strain Anal. Eng., Vol. 38, No. 2, pp. 149-160. https://doi.org/10.1243/030932403321163677
  3. Feyrer, K. (2010). Wire ropes - tension, endurance, reliability, Springer, Germany.
  4. Flory, J. F., McKenna, H. A. and Gibson, P. T. (1995). "Improvement in potted socket terminations." OCEANS '95. MTS/IEEE. Challenges of Our Changing Global Environment. Conference Proceedings, Vol. 2, pp. 1345-1353.
  5. HSBA-Honshu Shikoku Bridge Autority (1989). HBS 3503 Prefabricated parallel wire strand.
  6. JSA-Japanese Standard Association (1995). JIS F 3432 Ship's steel wire sockets.
  7. Komura, T., Wada, K., Takano, H. and Sakamoto, Y. (1990). "Study into mechanical properties and design method of large cable sockets." Structural/Earthquake Eng., JSCE, Vol. 7, No. 2, pp. 251-262.
  8. Korean Agency for Technology Standards (2001). KS D 4101 Carbon steel castings.
  9. NADCA-North American Die Casting Association (2006). NADCA product specification standards for die castings, USA.
  10. Podolny, W. and Scalzi, J. B. (1986). Construction and design of cable-stayed bridges, Wiley.
  11. Seo, J. W., Jung, W., Cho, E. K. and Yoo, H. (2010). "Parametric analysis to determine optimum geometries of PPWS sockets in cable-suspension bridges." 2010 Annual Conference of Korean Society of Steel Construction, pp. 35-36 (in Korean).
  12. Simulia (2010). ABAQUS Analysis user's manual.
  13. Verreet, R. (1999). Wire rope end connections, CASAR, Germany.
  14. Waisman, H., Montoya, A., Betti, R. and Noyan, L. C. (2011). "Load transfer and recovery length in parallel wires of suspension bridge cables." J. of Eng. Mech., ASCE, Vol. 137, No. 4, pp. 227-237. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000220
  15. Wire Rope Technical Board (2005). Wire rope users manual, 4th edition. USA.
  16. Yoo, H., Jung, W. and Seo, J. W. (2010a). "Design and verification of safety factor for PPWS sockets of suspension bridges." 2010 Annual Conference of Korean Society of Civil Engineers, p. 2517 (in Korean).
  17. Yoo, H., Lee, S. H. and Seo, J. W. (2013). "Effect of the tapered angle on the ultimate load factors of PPWS sockets in main cables of suspension bridges." J. of Civil Eng., KSCE, Vol. 33, No. 1, pp. 47-59 (in Korean). https://doi.org/10.12652/Ksce.2013.33.1.047
  18. Yoo, H., Seo, J. W. and Lee, S. H. (2011). "Applicability verification of high-strength parallel wire strands by tensile tests." J. of Civil Eng., KSCE, Vol. 31, No. 6A, pp. 435-447 (in Korean).
  19. Yoo, H., Seo, J. W., Jung, W. and Lee, S. H. (2010b). "Parametric study of optimum design variables of PPWS socket and stability analysis." 2010 COSEIK Annual Conference, Computational Structural Engineering Institute of Korea.