圆形地下连续墙场地地震反应的简化计算方法
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摘要
首先将水平地震荷载作用沿环向展开为傅立叶级数,利用沿圆周法向和切向两个方向的正交性,再将水平地震荷载转化为一致横向荷载组合,使三维求解问题转变为一系列旋转子午面上二维问题的叠加,进而提出圆形地下连续墙场地地震反应的简化计算方法。之后,采用等效线性化方法来考虑土体非线性性质,进一步将非线性地震反应问题转化为线性问题求解。通过对比简化方法结果与三维方法结果,验证了简化方法的实用性和可靠性。比较结果表明,简化方法缩减了模型规模,极大提高了计算效率。最后对某超大直径圆形地下连续墙场地进行了地震反应分析,与场地中不设连续墙的自由场结果相比,发现圆形墙体的围束效应使得基坑底部的加速度峰值有所增大,而对远离墙体的地表土层的地震反应影响很小。
First,the horizontal seismic loads were expanded into the Fourier series in the circumferential direction.Considering the orthogonality between the normal and tangential direction on the circumference,the horizontal seismic loads were then transformed into combination of uniform distributed lateral loadings.In this way,the simplified solving method was proposed for the three-dimensional problem reduced to a series of two-dimensional problems.The equivalent linearity method was used to deal with soil nonlinearity,so the nonlinear seismic problem was transformed into linear problem.The practicability and reliability of the simplified method were verified by comparison between the results of simplified model and 3-D model.The results show that the model size is reduced and the computational efficiency is greatly improved by the proposed method.Finally,simplified method was used to analyze the seismic response of foundation site with super large diameter circular diaphragm wall.Compare with the results of the site without wall,the peak acceleration of the pit bottom is increased owing to the confinement effect of wall,and the influence to ground surface far from the wall is very little.
First,the horizontal seismic loads were expanded into the Fourier series in the circumferential direction.Considering the orthogonality between the normal and tangential direction on the circumference,the horizontal seismic loads were then transformed into combination of uniform distributed lateral loadings.In this way,the simplified solving method was proposed for the three-dimensional problem reduced to a series of two-dimensional problems.The equivalent linearity method was used to deal with soil nonlinearity,so the nonlinear seismic problem was transformed into linear problem.The practicability and reliability of the simplified method were verified by comparison between the results of simplified model and 3-D model.The results show that the model size is reduced and the computational efficiency is greatly improved by the proposed method.Finally,simplified method was used to analyze the seismic response of foundation site with super large diameter circular diaphragm wall.Compare with the results of the site without wall,the peak acceleration of the pit bottom is increased owing to the confinement effect of wall,and the influence to ground surface far from the wall is very little.
引文
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[2]周健,罗筱波.圆形支护结构的拱效应等效支撑计算方法[J].岩土力学,2003,24(2):169-172.(ZHOUJian,LUO Xiao-bo.Structural computation of circu-lar retaining structure using method of equivalent re-taining of arch effect[J].Rock and Soil Mechanics,2003,24(2):169-172.(in Chinese))
[3]张具寿,黄沛,钱水江,等.超大直径圆形无支撑深基坑施工技术[J].岩土工程学报2006,28(增刊):1737-1741.(ZHANG Ju-shou,HUANG Pei,QIANShui-jiang,et al.Construction techniques of deepfoundation pits with circular self-sustaining an superlarge diameter[J].Chinese Journal of GeotechnicalEngineering,2006,28(S):1737-1741.(in Chinese))
[4]薛松涛,张茂雨,谢丽宇,等.在地震波作用下地下连续墙的动力响应[J].四川建筑科学研究,2005,31(6):134-136.(XUE Song-tao,ZHANG Mao-yu,XIELi-yu,et al.The dynamic responses of the slurry wallsubjected to earthquake waves[J].Sichuan BuildingScience,2005,31(6):134-136.(in Chinese))
[5]卢之伟,谢旭升,黄雨,等.地震时地下连续墙围束效应与围束土壤超孔隙水压力之探讨[J].岩土工程学报,2007,29(6):861-865.(LU Zhi-wei,XIE Xu-sheng,HUANG Yu,et al.Numerical study on seis-mic interaction between wall-type underground struc-tures and excess pore water pressure of confined soils[J].Chinese Journal of Geotechnical Engineering,2007,29(6):861-865.(in Chinese))
[6]楼梦麟,潘旦光,范立础.土层地震反应分析中侧向人工边界的影响[J].同济大学学报(自然科学版),2003,31(7):757-761.(LOU Meng-lin,PAN Dan-guang,FAN Li-chu.Effect of vertical artificialboundary on seismic response of soil layer[J].Jour-nal of Tongji University(Natural Science),2003,31(7):757-761.(in Chinese))
[7]楼梦麟,白建方.基于摄动原理的复杂土层地震反应分析的子结构法[J].计算力学学报,2009,26(2):221-225.(LOU Meng-lin,BAI Jian-fang.Substruc-ture method for earthquake response analysis of com-plicated site soil based on modal perturbation princi-ple[J].Chinese Journal of Computational Mechan-ics,2009,26(2):221-225.(in Chinese))
[8]Zienkiewicz O C,Taylor R L.The Finite ElementMethod(Volumn 2)[M].London:McGraw-Hill,2009.
[9]Wilson E L.Structural analysis of axi-symmetric sol-ids[J].Journal of AIAA,1965,3:2269-2274.
[10]楼梦麟,潘旦光.滞后阻尼在土层时域分析中的应用[J].同济大学学报(自然科学版),2004,32(3):281-285.(LOU Meng-lin,PAN Dan-guang.Hystereticdamping application in time domain analysis of soillayer[J].Journal of Tongji University(NaturalScience),2004,32(3):281-285.(in Chinese))
[11]熊辉,吕西林,黄靓.考虑土结构相互作用效应的三维桩基结构动力有限元分析[J].计算力学学报2007,24(6):756-762.(XIONG Hui,LU Xi-lin,HUANG Liang.A dynamic FE analysis consideringthe SSI effect on 3D pile-supported structures[J].Chinese Journal of Computational Mechanics,2007,24(6):756-762.(in Chinese))
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