Frequency-domain analysis method for longitudinal seismic response of super-long immersed tunnels
LIU Hong-zhe, HUANG Mao-song
1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
Abstract：There is no special code for seismic design of immersed tunnels in China at present. Furthermore, inertia of the tunnel, complex ground conditions, non-uniform seismic excitation at the bottom of the tunnel and dependence of soil-structure interaction coefficient on earthquake excitation frequency are always neglected in the past analysis methods for seismic response of immersed tunnels. Based on this consideration, a frequency-domain analysis method for longitudinal seismic response of immersed tunnels is established using the Winkler foundation-beam theory and the fast Fourier transform technique. The response displacement method and frequency-domain analysis method based on Winkler foundation-beam theory are used to compute Hong Kong-Zhuhai-Macao (HZM) immersed tunnel, and difference between the two approaches is discussed. Some conclusions and suggestions are presented for the seismic design of HZM immersed tunnel. Although this research is prompted by need of a concrete project, the proposed methods are universal and can be applied to the analysis and design of other immersed tunneling projects.
[1] KUESEL T R. Earthquake design criteria for subways[J]. Journal of the Structural Divisions, ASCE, 1969, 95(ST6): 1213-1231. [2] AOKI Y, MARUYAMA H. Spectra for earthquake-resistive design of trench type tunnel[R]. Japan: Report of the PHRI 11: 4, 1972: 292-314. [3] KIYOMIYA O. Earthquake-resistant design features of immersed tunnels in Japan[J]. Tunnelling and Underground Space Technology, 1995, 10: 463-475. [4] 川岛一彦. 地下构筑物の耐震设计[M]. 日本: 鹿岛出版会, 1994. (KWASHIMA K. Seismic design of underground structures[M]. Kashima: Kashima Publishing Company, 1994. (in Japanese)) [5] 韩大建, 周阿兴, 黄炎生. 珠江水下沉管隧道的抗震分析与设计(Ⅰ)—时程响应法[J]. 华南理工大学学报(自然科学版), 1999, 27(11): 115-121. (HAN Da-jian, ZHOU A-xing, HUANG Yan-sheng. Aseismic analysis and design of the pearl river tunnel (I) - time domain response method[J]. Journal of South China University of Technology, 1999, 27(11): 115-121. (in Chinese)) [6] HAMADA M. Earthquake observation on two submerged tunnels and numerical analysis[C]// Proceedings of 8th World Conference on Earthquake Engineering. San Francisco, 1984: 673-680. [7] KIYOMIYA O, TANABE G. Dynamic response analysis of immersed tunnel considering of non-linearity of flexible joint[C]// Paper Presented at the Twenty-eighth Meeting of the Japan Soil Mechanics and Foundation. Japan, 1994. [8] ANASTASOPOULOS I, GEROLYMOS N, DROSOS V, et al. Nonlinear response of deep immersed tunnel to strong seismic shaking[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007(9): 1067-1090. [9] DING J H, JIN X L, GUO Y Z, et al. Numerical simulation for large-scale seismic response analysis of immersed tunnel[J]. Engineering Structures, 2006, 28: 1367-1377. [10] STAMOS A A, BESKOS D E. Dynamic analysis of large 3D underground structures by the BEM[J]. Earthquake Engineering and Structural Dynamics, 1995, 24(6): 917-934. [11] STAMOS A A, BESKOS D E. 3D seismic response of long lined tunnels in half- space[J]. Soil Dynamics and Earthquake Engineering, 1996, 15: 111-118. [12] HATZIGEORGIOU G D, BESKOS D E. Soil-structure interaction effects on seismic inelastic analysis of 3D tunnels[J]. Soil Dynamics and Earthquake Engineering, 2010, 30: 851-861. [13] 周阿兴. 沉管隧道的地震反应分析[D]. 广州: 华南理工大学, 1989. (ZHOU A-xing. Analysis of seismic response of immersed tunnels[D]. Guangzhou: South China University of Technology, 1989. (in Chinese)) [14] GEROLYMOS N, GAZETAS G. Winkler model for lateral response of rigid caisson foundations in linear soil[J]. Soil Dynamics and Earthquake Engineering, 2006, 26: 347-361. [15] GAZETAS G, TASSOULAS J L. Horizontal stiffness of arbitrarily shaped embedded foundations[J]. Journal of Geotechnical Engineering, 1987, 113(5): 440-457. [16] GAZETAS G, TASSOULAS J L. Horizontal damping of arbitrarily shaped embedded foundations[J]. Journal of Geotechnical Engineering, 1987, 113(5): 458-475. [17] 陈绍章, 陈 越. 沉管隧道设计与施工[M]. 北京: 科学出版社, 2002. (CHEN Shao-zhang, CHEN Yue. Design and construction of immersed tunnels[M]. Beijing: Science Press, 2002. (in Chinese)) [18] 严松宏, 潘昌实. 沉管隧道地震响应分析[J]. 现代隧道技术, 2006, 43(2): 15-21. (YAN Song-hong, PAN Chang-shi. Seismic response analyses of immersed tube tunnel[J]. Modern Tunnelling Technology, 2006, 43(2): 15-21. (in Chinese))
