大型群桩桩土动力相互作用分析方法研究
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摘要
针对大型群桩与土体动力相互作用的高度复杂性,基于经典变分原理,利用拉氏乘子法和罚函数法建立了反映桩体与土体相对运动和其实际几何尺寸的非线性动力相互作用的分析模型,并编制了相应的分析程序。以南水北调中线穿黄U形渡槽工程为研究对象,利用本文的模型研究了常用的M法模型在渡槽结构中应用的适用性。结果表明,在静载作用下,两种方法给出的渡槽上部结构的位移和应力基本一致,渡槽下部桩体结构的分析结果略有差异,但相差不超过20%。在地震荷载下,M法的分析结果是偏小的,尤其是对渡槽上部结构的影响更大。
The soil-pile dynamic interaction mechanism of the large-scale group-piles foundations is of high complexity.Base on the classical variation principle,Las multiplier method and the penalty function method are used to establish the non-linear dynamic interaction analysis model of actual geometric dimensions which can reflect the relative displacement between the pile body and soil body,and the corresponding analytical program is made.With the U-shaped flume engineering in the middle line of the South-to-North water diversion project passing across the Yellow River as the study object,this paper deals with corresponding applicability of the frequently-used M-method in the aqueduct by the model in this paper.The results indicate the under the static loads,the displacement and stress of the superstructure of the aqueduct are basically,but as to the substructure of the aqueduct,the results of the M-method are more or less 20% than the results obtained by the non-linear FEM.However,under the earthquake loads,the analysis results by using the non-linear FEM are larger than the M-method,so that effect upon the upper structure of aqueduct is larger than the substructure of aqueduct.
The soil-pile dynamic interaction mechanism of the large-scale group-piles foundations is of high complexity.Base on the classical variation principle,Las multiplier method and the penalty function method are used to establish the non-linear dynamic interaction analysis model of actual geometric dimensions which can reflect the relative displacement between the pile body and soil body,and the corresponding analytical program is made.With the U-shaped flume engineering in the middle line of the South-to-North water diversion project passing across the Yellow River as the study object,this paper deals with corresponding applicability of the frequently-used M-method in the aqueduct by the model in this paper.The results indicate the under the static loads,the displacement and stress of the superstructure of the aqueduct are basically,but as to the substructure of the aqueduct,the results of the M-method are more or less 20% than the results obtained by the non-linear FEM.However,under the earthquake loads,the analysis results by using the non-linear FEM are larger than the M-method,so that effect upon the upper structure of aqueduct is larger than the substructure of aqueduct.
引文
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[2]郑明新.川藏公路某滑坡抗滑桩工程效果的有限元后评价[J].岩土力学,2009,30(6):1782-1788.Zheng Mingxin.Finite element post evaluation of landslidecontrol using anti-slide pile along Sichuan-Tibet Highway[J].Rock and Soil Mechanics,2009,30(6):1782-1788.
[3]李正农,张盼盼,朱旭鹏,等.考虑桩-土动力相互作用的渡槽结构水平地震响应分析[J].土木工程学报,2010,43(12):137-143.Li Zhengnong,Zhang Panpan,Zhu Xupeng,et al.Hori-zontal seismic response analysis of aqueduct with pier-soildynamic interaction[J].Chinese Journal of Civil Engi-neering,2010,43(12):137-143.
[4]公路桥涵地基与基础设计规范(JTG D63—2007)[S].中华人民共和国交通运输部,2007:28-38.Code for Design of Ground Base and Foundation of HighwayBridges and Culverts(JTG D63—2007)[S].Ministry ofTransport of the People’s Republic of China,2007:28-38.
[5]高大钊.桩基础的设计方法与施工技术[M].北京:机械工业出版社,2002.
[6]Goodman L E,Taylor R L,Berkke T L.A model for themechanics of jointed rock[J].ASCE,1968,94(SM3):637-659.
[7]Desai C S,Zaman M M,Lightner J G,et al.Thin-layerelement for interfaces and joints[J].International Journalfor Numerical Methods in Engineering,1984,8(1):19-43.
[8]陈厚群,张伯艳,刘云贺.南水北调中线穿黄渡槽抗震安全评估报告[C]//中国水利水电科学研究院,2002:3-25.Chen Houqun,Zhang Boyan,Liu Yunhe.Seismic safetyreport of the aqueduct in middle route of South-North watertransfer across the Yellow River[C]//China Institute ofWater Resources and Hydropower Research,2002:3-25.
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