Abstract
A simplified method was proposed for the design of concrete lining in underground rock cavern/tunnel against shock loading. The loading may result from the detonation of explosives on ground surface or ground penetration projectiles exploding adjacent to the cavern/tunnel. The resulting problem necessitates the solution of the dynamics of a beam loaded by a transient pressure uniformly distributed over the span. According to mechanical characteristics of the system with rock bolt and shotcrete, a dynamic support design method based on equivalent single degree of freedom (SDOF) was put forward. The SDOF method was applied to obtaining the maximum displacement at the mid-span of the beam, which is often the controlling factor in the blast-resistant design. In the formulation of the problem, the proposed method combines the phenomena of spalling and structural dynamics theory. An example is provided to demonstrate the applicability of this simplified method.
Similar content being viewed by others
References
GLAMHEDEN R, CURTIS P. Excavation of a cavern for high-pressure storage of natural gas [J]. Tunnelling and Underground Space Technology, 2006, 21(1): 56–67.
BARRETT S V L, MCCREATH D R. Shotcrete support design in blocky ground: Towards a deterministic approach [J]. Tunnelling and Underground Space Technology, 1995, 10(1): 79–89.
HOEK E, DIEDERICHS M S. Empirical estimation of rock mass modulus [J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(2): 203–215.
BIENIAWSKI Z T. Engineering rock mass classifications [M]. New York: John Wiley and Sons Inc, 1989: 51–72.
GRIMSTAD E, BARTON N. Updating the Q-system for NMT [C]// BERG K O. Proceedings of the International Symposium on Sprayed Concrete-Modern use of wet mix sprayed concrete for underground support. Oslo: Norwegian Concrete Association, 1993: 46–66.
CHRYSSANTHAKIS P, BARTON N, LORIG L, HRISTIANSON M, Numerical simulation of fiber reinforced shotcrete in a tunnel using discrete element method [J]. International Journal of Rock Mechanics and Mining Science, 1997, 34(3/4): 578–588.
LOK T S, ZHAO P J, LI XI-BING, LIM C H. Discrete element modeling of shotcrete-lined rock cavern subjected to shock loading [C]// Proceeding of the 8th East Asia-Pacific Conference on Structural Engineering and Construction. Singapore: 2001: 839–845.
FISCHER K, HARING I. SDOF response model parameters from dynamic blast loading experiments [J]. Engineering Structures, 2009, 31(8): 1677–1686.
TERAN G A, AVILA E, RANGEL G. On the use of plastic energy to establish strength requirements in ductile structures [J]. Engineering Structures, 2003, 22(7): 965–980.
KRAUTHAMMER T, ASSADI-LAMOUKI A, SHANAA H M. Analysis of impulsively loaded reinforced concrete elements-I theory [J]. Computers and Structures, 1993, 48(5): 851–860.
RUIZ-GARCIA J, MIRANDA E. Inelastic displacement rations for design of structures on soft soil sites [J]. Structural Engineering, 2004, 130(12): 2051–2061.
CHOPRA A K, CHINATANAPAKDEE C. Inelastic deformation ratios for design and evaluation of structures: Single-degree-offreedom bilinear systems [J]. Journal of Structural Engineering, 2004, 130(9): 1309–1319.
MALMGREN L, NORDLUND E. Interaction of shotcrete with rock and rock loolts-A numerical study [J]. International Journal of Rock Mechanics and Mining Science, 2008, 45(4): 538–553.
FERTIS, D G. Dynamics and vibration of structures [M]. New York: John Wiley and Sons Inc, 1973.
AS/NZS 1170.4. Structural design actions, Part 4: Earthquake actions. Volume 2-Commentary [S].
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Projects(50934006, 50904079) supported by the National Natural Science Foundation of China; Project(2010CB732004) supported by the National Basic Research Program of China
Rights and permissions
About this article
Cite this article
Zhao, P.J., Lok, T.S., Yin, Zq. et al. Simplified design of rock cavern concrete lining to resist shock loading. J. Cent. South Univ. Technol. 17, 1087–1094 (2010). https://doi.org/10.1007/s11771-010-0601-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-010-0601-6