Buckling of the Steel Liners of Underground Road Structures: the Sensitivity Analysis of Geometrical Parameters

Authors

  • Ali Ghorbani Dept of Civil Engineering, University of Guilan, Rasht, Guilan, km. 5 Road of Rasht- Tehran, Rasht, Guilan, Iran
  • Hadi Hasanzadehshooiili Dept of Civil Engineering, University of Guilan, Rasht, Guilan, km. 5 Road of Rasht- Tehran, Rasht, Guilan, Iran
  • Antanas Šapalas Dept of Steel and Timber Structures, Vilnius Gediminas Technical University, Saulėtekio al. 11, 10223 Vilnius, Lithuania
  • Ali Lakirouhani Dept of Civil Engineering, University of Zanjan, km 7 Road of Zanjan-Tabriz, Zanjan, Iran

DOI:

https://doi.org/10.3846/bjrbe.2013.32

Keywords:

buckling, Finite Element Method (FEM), steel arch-shell support system, sensitivity analysis, underground road structures, geometrical parameters, Cosine Amplitude Method (CAM)

Abstract

Designing a suitable, applicable and efficient support system for underground road structures have always been one of the most important engineering tasks for tunnel engineers. There are some different support systems applied to making underground structures safe against overburden and lateral pressures. Among these systems, permanent or temporary steel frames, wire meshes, rock bolts and shotcretes have been commonly used for suffering the exerted burdens and making the structure a safe place. This paper proposes a numerical analysis of the geometrical instability of steel-arch shells as one of the main bodies of underground road structure liners by means of calculating their buckling load and utilizing the finite element method. In this regard, a considerable number of structures (84) having different geometrical parameters have been modelled and their buckling loads have been calculated. For this purpose, the thickness, internal angle and radius of the periphery cylinder of the arch-shell system were considered taking into account geometrical parameters. Moreover, to accurately model the buckling load using the proposed algorithm, the weight of the structure has also been included in the made calculations. Finally, as the main scope is based on the Cosine Amplitude Method, sensitivity analysis is carried out to investigate the strength of the relationship between each input geometrical parameter and their buckling load. Based on the obtained relationships, the thickness of the structure is reported as the most affective geometrical parameter on buckling steel arch-shell support systems. In addition, the internal angle of arch supports is the least influential parameter.

References

Almroth, B. O. 1966. Influence of Edge Conditions on the Stability of Axially Compressed Cylindrical Shells, AIAA Journal 4(1): 134‒140. http://dx.doi.org/10.2514/3.3396

Bai, Y.; Wang, Y.; Shi, Y. 2011. Design and Stability Analysis for an Arch-Shell Hybrid Structure, Singapore Cool Dry Conservatory, Journal of Advanced Materials Research 163–167: 557–561. http://dx.doi.org/10.4028/www.scientific.net/AMR.163-167.557

Barla, G.; Bonini, M.; Semeraro, M. 2011. Analysis of the Behaviour of a Yield-Control Support System in Squeezing Rock, Tunnelling and Underground Space Technology 26(1): 146–154. http://dx.doi.org/10.1016/j.tust.2010.08.001

Batoz, J. L. 1979. Curved Finite Elements and Shell Theories with Particular Reference to the Buckling of a Circular Arch, International Journal for Numerical Methods in Engineering 14(5): 774–779. http://dx.doi.org/10.1002/nme.1620140511

Beedle, L. S. 1991. Stability of Metal Structures: a World View. 2nd edition. Stability Research Council, USA, 490 p. ISBN 1879749505.

Berti, D.; Stutzman, R.; Lindquist, E.; Eshghipour, M. 1998. Technical Forum: Buckling of Steel Tunnel Liner under External Pressure, Journal of Energy Engineering 124(3): 55–89. http://dx.doi.org/10.1061/(ASCE)0733-9402(1998)124: 3(55)

Brendel, B.; Ramm, E. 1980. Linear and Nonlinear Stability Analysis of Cylindrical Shells, Computers and Structures 12(4): 549–558. http://dx.doi.org/10.1016/0045-7949(80)90130-3

Bushnell, D. 1985. Computerised Buckling Analysis of Shells. Springer. 423 p. ISBN 9024730996. http://dx.doi.org/10.1007/978-94-009-5063-4

Carranza-Torresa, C.; Diederichs, M. 2009. Mechanical Analysis of Circular Liners with Particular Reference to Composite Supports. for Example, Liners Consisting of Shotcrete and Steel Sets, Tunnelling and Underground Space Technology 24(5): 506–532. http://dx.doi.org/10.1016/j.tust.2009.02.001

Hasanzadehshooiili, H.; Lakirouhani, A., Medzvieckas, J. 2012a. Superiority of Artificial Neural Networks over Statistical Methods in Prediction of the Optimal Length of Rock Bolts, Journal of Civil Engineering and Management 18(5): 655–661. http://dx.doi.org/10.3846/13923730.2012.724029

Hasanzadehshooiili, H.; Lakirouhani, A., Šapalas, A. 2012b. Neural Network Prediction of Buckling Load of Steel Arch Shells, Archives of Civil and Mechanical Engineering 12(4): 477–484. http://dx.doi.org/10.1016/j.acme.2012.07.005

Hashash, Y. M. A.; Park, D.; Yao, J. I. C. 2005. Ovaling Deformations of Circular Tunnels under Seismic Loading, an Update on Seismic Design and Analysis of Underground Structures, Tunnelling and Underground Space Technology 20(5): 435–441. http://dx.doi.org/10.1016/j.tust.2005.02.004

Hoek, E.; Kaiser, P. K.; Bawden, W. F. 2000. Support of Underground Excavations in Hard Rock. A. A. Balkema Publishers, Netherlands, 215 p. ISBN 9054101865.

Hoff, N. J. 1966. The Perplexing Behavior of Thin Cylindrical Shells in Axial Compression, Israel Journal of Technology 4(1): 1–28.

Šapalas, A. 2004. Composite and Interaction Effects in Steel‐Concrete Structures for Higher Fire Resistance, Journal of Civil Engineering and Management 10(3): 241–245. http://dx.doi.org/10.1080/13923730.2004.9636312

Singer, J.; Arbocz, J.; Weller, T. 1998. Buckling Experiments: Basic Concepts, Columns, Beams, and Plates. John Wiley & Sons. 623 p. ISBN-10: 0471956619

Teng, J. G.; Rotter, J. M. 1995. Stability Assessment of Complex Shell Structures by Numerical Analysis, Australian Civil Engineering Transactions CE37 (1): 61–69.

Xue, J.; Fatt, M. S. H. 2002. Buckling of a Non-Uniform, Long Cylindrical Shell Subjected to External Hydrostatic Pressure, Journal of Engineering Structures 24(8): 1027–1034. http://dx.doi.org/10.1016/S0141-0296(02)00029-9

Yang, H. T. Y.; Saigal, S.; Liaw, D. G. 1990. Advances of Thin Shell Finite Elements and Some Applications – Version I, Computers and Structures 35(4): 481–504. http://dx.doi.org/10.1016/0045-7949(90)90071-9

Downloads

Published

27.12.2013

How to Cite

Ghorbani, A., Hasanzadehshooiili, H., Šapalas, A., & Lakirouhani, A. (2013). Buckling of the Steel Liners of Underground Road Structures: the Sensitivity Analysis of Geometrical Parameters. The Baltic Journal of Road and Bridge Engineering, 8(4), 250-254. https://doi.org/10.3846/bjrbe.2013.32