Catastrophic Analysis of Seismic Response of Gravity Dam Sliding along Base Surface

Abstract:

For the instability problem of gravity dam sliding along base surface, cubic nonlinear constitutive model of soft material in base surface is adopted, which is usually expressed by Weibull model. Dynamic Equations of dam sliding along base surface is established. By means of catastrophe theory, the jumping and hysteresis phenomena of the vibration amplitude of the dam is analyzed, the parameter range of stable region in which amplitude doesn’t happen catastrophe is given and the factors which cause amplitude instability are discussed. The results obtained in the paper are of significant value for understanding the sliding instability mechanism of gravity dam under earthquake, as well as guiding the design of gravity dams.

• Periodical: Advanced Materials Research (Volumes 311-313)
• Pages: 2164-2168
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.311-313.2164
• Online since: August 2011
• Authors: Dun Ben Sun, Qing Wen Ren
• Keywords: Base Surface, Catastrophe, Gravity Dam, Seismic Response, Sliding

References

[1] PAN Jiazheng. Anti-sliding stability and landslide analysis of buildings. Beijing: Water Press, (1980)

[2] ZHOU Wei, CHANG Xiao-lin, XU Jian-qiang. Analysis of anti-sliding stability in deep foundation of gravity dam based on partial coefficient[J]. Rock and Soil Mechanics. 2007,28(2):315-320

[3] LU Shu-yuan. Analysis of anti-sliding stability of gravity dam in rock foundation[M]. Beijing: Water Resources and Electric Power Press, 1995.

[4] ZHANG Fa-ming, CHEN Zu-yu, MI Hong-liang. Deep sliding stability analysis of dam foundation by using 3D upper bond method[J]. Journal of Liaoning Technical University. 2003,22(6):776-778

[5] REN Qing-wen, QIAN Xiang-dong, ZHAO Yin, FU Shu-hong. Methods for analyzing sliding resistance stability along the base surface of high arch dam[J]. Journal of Hydraulic Engineering, 2002,(2):1-7

[6] XU Qiang, HUANG Run-qiu. Catastrophic analysis of nonlinear response of structure under earthquake[J]. Chinese Journal of Geotechnical Engineering. 1997,19(4):25-29

[7] LING Fu-hua. Catastrophe theory and its applications[M]. Shanghai Jiaotong University Press, (1987)

[8] QIN Si-qing. Nonlinear catastrophe model of slope instability and chaotic dynamics mechanism of slope evolution process[J]. Chinese Journal of Rock Mechanics and Engineering. 2000,19(14):486-492

[9] QIAN Hai-tao, QIN Si-qing, MA Ping. Nonlinear mechanism of sliding instability along weak structural surface below gravity dam foundation[J]. Journal of Engineering Geology, 2006,14(13) 312.:307

[10] HE Guang-ling. New catastrophe theory and its application in pile foundation engineering[J]. Engineering Mechanics, 2009,26(9):126-130.

[11] DL 5073-2000, Specifications for Seismic Design of Hydraulic Structures