刚性桩复合地基地震响应的简化分析方法
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摘要
面对越来越大量的工程应用,刚性桩复合地基的抗震性能成为亟待研究的课题。基于动力文克尔地基理论,提出了单桩复合地基的地震响应分析模型,推导了其地震响应的动力微分方程组,并构造了有限差分的求解方法,研究并探讨了不同影响因素变化下的地震响应性状,得到了一些有益于工程设计的规律性结论。
As rigid pile composite ground is getting more and more applications in construction engineering, the research on its anti-seismic behavior becomes very urgent. This paper is concerned with the seismic analysis of type of composite ground. A model is proposed, based on the Beam on Dynamic Winkler Foundation theory, for the analysis of a single pile composite ground. The partial differential equations for its seismic response are derived and the finite difference method is applied to obtain the numerical solutions. Comparative studies are carried out to investigate the effects of various influence factors on the earthquake response of this type of composite ground. Valuable findings are obtained which can be of importance for its design.
As rigid pile composite ground is getting more and more applications in construction engineering, the research on its anti-seismic behavior becomes very urgent. This paper is concerned with the seismic analysis of type of composite ground. A model is proposed, based on the Beam on Dynamic Winkler Foundation theory, for the analysis of a single pile composite ground. The partial differential equations for its seismic response are derived and the finite difference method is applied to obtain the numerical solutions. Comparative studies are carried out to investigate the effects of various influence factors on the earthquake response of this type of composite ground. Valuable findings are obtained which can be of importance for its design.
引文
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[2] Nogami T, Jones H W, Mosher R L. Seismic response analysis of pile-supported structure: assessment of commonly used approximations[A]. Proceedings of 2nd international conference: Recent advancements of geot echnical earthquake engineering and soil dynamics [C].[s.l]: Saint Louis. 1991.931-940.
[3] 王立忠，柯瀚，陈云敏，吴世明，张伟民．地震荷载作用下水泥搅拌桩的动力响应[J]．振动工程学报，1998，1 1(4)：416-421．
[4] Hesham M, Nagga E I, Kevin J. Bentley. Dynamic analysis laterally loaded piles and dynamic p-y curves [J]. Canadian Geotechnical Journal, 2000, 37: 1166- 1183.
[5] Nicos Makris, George Gazetas. Dynamic Pile-soil-pile interaction. Part Ⅱ: Lateral and seismic response [J], Earthquake Engineering and Structure Dynamics, 1992.21: 145-162.
[6] 刘宗贤，李玉亭．单桩基础在无限层地基中的横向地震反应分析[J]．四川地震，1994．3：32-44．
[7] Guoxi Wu, Liam Finn W D. Dynamic nonlinear of pile foundations using finite element method in the time domain[J]. Canadian Geotechnical Journal, 1997. 34:
44-52.
[8] 谢定义．土动力学[M]．陕西：西安交通大学出版社，1988．267-380．
[9] Takaaki Kagawa. Lateral Pile-Group Response Under Seismic Loading[J]. Soils and Foundations, 1983,23(4): 75-86.
[10]吴世明．十动力学[M]．北京：中国建筑工业出版社，2000．186-240．
[11]徐自新．微分方程近似解[M]．上海：华尔化上学院出 版社．1990．183-214．
[12]徐自国，宋二祥．刚性桩复合地基抗震性能的有限元分析[J]．岩土力学，2004，25(2)：179-184．XU Zi-Guo, SONG Er-Xiang. Finite element analysis for seismic response of rigid pile composite foundations[J]. Rock and Soil Mechanics, 2004, 25(2): 179- 184.
[13]池跃君．刚性桩复合地基工作机理及沉降计算办法的研究[博士学位论文D]．北京：清华大学，2003．
[2] Nogami T, Jones H W, Mosher R L. Seismic response analysis of pile-supported structure: assessment of commonly used approximations[A]. Proceedings of 2nd international conference: Recent advancements of geot echnical earthquake engineering and soil dynamics [C].[s.l]: Saint Louis. 1991.931-940.
[3] 王立忠，柯瀚，陈云敏，吴世明，张伟民．地震荷载作用下水泥搅拌桩的动力响应[J]．振动工程学报，1998，1 1(4)：416-421．
[4] Hesham M, Nagga E I, Kevin J. Bentley. Dynamic analysis laterally loaded piles and dynamic p-y curves [J]. Canadian Geotechnical Journal, 2000, 37: 1166- 1183.
[5] Nicos Makris, George Gazetas. Dynamic Pile-soil-pile interaction. Part Ⅱ: Lateral and seismic response [J], Earthquake Engineering and Structure Dynamics, 1992.21: 145-162.
[6] 刘宗贤，李玉亭．单桩基础在无限层地基中的横向地震反应分析[J]．四川地震，1994．3：32-44．
[7] Guoxi Wu, Liam Finn W D. Dynamic nonlinear of pile foundations using finite element method in the time domain[J]. Canadian Geotechnical Journal, 1997. 34:
44-52.
[8] 谢定义．土动力学[M]．陕西：西安交通大学出版社，1988．267-380．
[9] Takaaki Kagawa. Lateral Pile-Group Response Under Seismic Loading[J]. Soils and Foundations, 1983,23(4): 75-86.
[10]吴世明．十动力学[M]．北京：中国建筑工业出版社，2000．186-240．
[11]徐自新．微分方程近似解[M]．上海：华尔化上学院出 版社．1990．183-214．
[12]徐自国，宋二祥．刚性桩复合地基抗震性能的有限元分析[J]．岩土力学，2004，25(2)：179-184．XU Zi-Guo, SONG Er-Xiang. Finite element analysis for seismic response of rigid pile composite foundations[J]. Rock and Soil Mechanics, 2004, 25(2): 179- 184.
[13]池跃君．刚性桩复合地基工作机理及沉降计算办法的研究[博士学位论文D]．北京：清华大学，2003．
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