Journal of Korean Tunnelling and Underground Space Association (한국터널지하공간학회 논문집)

Korean Tunnelling and Underground Space Association (한국터널지하공간학회)
권호 표지
DOI QR코드

DOI QR Code

An analytical solution for soil-lining interaction in a deep and circular tunnel

원형터널에서 지반-라이닝 상호작용에 대한 수학적 해석해에 관한 연구

  • Published : 2009.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

This study deals with the analytical solution for soil-lining interaction in a deep and circular tunnel. Simple closed-form analytical solutions for thrust and moment in the circular tunnel lining due to static and seismic loadings are developed by considering the relations between displacement and interaction forces at the soil-lining interface. The interaction effect at the soil-lining interface is considered with new ratios (the normal and shear stiffness ratios). The effects of the ratios on the normalized thrust and the normalized moment are investigated.

본 연구는 원형 터널에서 지반-라이닝 상호작용에 대한수학적 모델에 관한 연구를 다룬다. 정적, 동적 하중으로 인하여 터널 라이닝에서 발생하는 축력과 모멘트를 구하는 간단한 수학적 해가 제시되었다. 수학적 해를 유도하기 위하여 지반-라이닝의 경계면에서의 힘-변위 관계식을 고려하였고, 경계면에서의 상호작용을 고려하고자 새로운 계수비들을 제시하였다. 축력과 모멘트에 대한 계수비의 영향이 조사되었다.

Keywords

References

  1. Bums, J.Q. and Richard, R.M. (1964), Attenuation of stresses for buried cylinders. In Proceedings of the Symposium on Soil-Structure Interaction, University of Arizona, AZ, pp. 378-392.
  2. Choi, S.H., Park, I.J. and Kim, S.H. 2009. Aseismic analysis for large underground structure. Tunnelling Technology, 11(2), pp. 163-174.
  3. Day, R.A. and Potts, D.M. 1994. Zero thickness interface elements-numerical stability and application. International Journal for Numerical and Analytical Methods in Georrechanics, 18, pp. 689-708. https://doi.org/10.1002/nag.1610181003
  4. Einstein, H.H. and Schwartz, C.W. 1979. Simplified analysis for tunnel supports. Journal of the Geotechnical Engineering Division, 105, pp. 499-518.
  5. Flugge, W. 1966. Stresses in shells, Springer-Verlag, Inc., New York, N.Y.
  6. Ha, T.W., Kim, D.Y., Shin, Y.W. and Yang, H.S. 2008. Evaluation methods of shotcrete lining stresses considering steel rib capacities by two-dimensional numerical analysis. Tunnelling Technology, 10(3), pp. 269-282.
  7. Hoeg, K. 1968. Stresses against underground structural cylinders. Journal of the Soil Mechanics and Foundations Division, 94, pp. 833-858.
  8. Kuesel, T.R. 1969. Earthquake design criteria for subways. Journal of the Structural Engineering Division, 95(6), 1213-1231.
  9. Lee, G.P., Lee, S.W., Shin, H.S. and Hwang, J.H. 2008. Mechanical behavior of tunnel liner using precast segment reinforced by rib. Tunnelling Technology, 10(3), 295-302.
  10. Moore, I.D. 1994. Analysis of rib supports for circular tunnels in elastic ground. Rock Mechanics and Rock Engineering, 27, pp. 155-172. https://doi.org/10.1007/BF01020308
  11. Park, K.H., Tantayopin, K., Tontavanich, B. and Owatsiriwong, A. 2009. Analytical solution for seismic-induced ovaling of circular tunnel lining under no-slip interface conditions: a revisit. Tunneling and Underground Space Technology, 24, pp. 231-235. https://doi.org/10.1016/j.tust.2008.07.001
  12. Peck, R.B., Hendron, A.J. and Mohraz, B. 1972. State of the art in soft ground tunneling. In Proceedings of the First Rapid Excavation and Tunneling Conference, American Institute of Mining, Metallurgical, and Petroleum Engineers, NY, pp. 259-286.
  13. Penzien, J. and Wu, C.L. 1998. Stresses in linings of bored tunnels. Earthquake Engineering and Structural Dynamics, 27, pp. 283-300. https://doi.org/10.1002/(SICI)1096-9845(199803)27:3<283::AID-EQE732>3.0.CO;2-T
  14. Wang, J.N. 1993. Seismic design of tunnels. Parsons Brinckerhoff Quade & Douglas, Inc., NY, Monograph 7.