基于指数荷载传递模型的单桩承载力特性分析*
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张亦静,肖宏彬(湖南工业大学土木工程学院,株洲 412007)[摘要]在桩基模拟试验的基础上提出一种指数型桩身荷载传递模型,该指数模型所需参数只有两个,且物理意义明确。引入该指数模型,并基于桩端荷载-位移关系为双曲线的假设,推求了桩-土共同作用的微分方程,经过对方程进行求解,得到了单桩桩身荷载与沉降关系的解析解,进而得到桩顶的荷载-位移曲线,可用于确定桩的承载力。工程实测结果与本文解析解结果的对比表明,较为吻合。[关键词]荷载传递函数;荷载-沉降关系;指数函数中图分类号:TU473文献标识码:A文章编号:1002-848X(2012)07-0119-04Analysis on bearing capacity of single pile based on exponential load transfer modelZhang Yijing, Xiao Hongbin(School of Civil Engineering, Hunan University of Technology, Zhuzhou 412007, China)Abstract: An exponential load transfer model of a pile was suggested based on a model pile test. The suggested model only requires two physically meaningful parameters. Using this equation and acknowledging a hyperbolic relationship between the pile-end bearing capacity and displacement, the differential equations of soil-pile interaction were derived. Such differential equations can be solved analytically to obtain the load-settlement curve that is important in determining the bearing capacity of the pile. The theoretical results are found in a good agreement with the experimental ones.Keywords: load transfer equation; load-settlement relation; exponential function*国家自然科学基金资助项目“膨胀土非线性流变特性研究”(50978097),湖南省自然科学基金资助项目“膨胀土固结与流变特性研究”(08JJ3092)。作者简介:张亦静,学士,副教授, Email:zyjww2004@163.com。参考文献[1]CARRUBBA P. Skin friction of large-diameter piles socketed into rock[J]. Candian Geotechnical Journal, 1997,34(4):230-240.[2]PRAKASH S,SHARMA H D. Pile foundations in engineering practice[M]. New York:John Wiley & Sons,Inc.,1990.[3]ASCHENBRENER T B,OLSON R E. Prediction of settlement of single pile in clay[C]//Proceedings of Symposium by ASCE Geotechnology,1984:41-58.[4]DUNCAN J M,CHANG C Y.Nonlinear analysis of stress and strain in soils[J]. Journal of the Soil Mechanics and Foundations Division, ASCE, 1970,96(5):1629-1653.[5]MILOVIC D M,MILOVIC S D. Predicted and observed behaviour of piles[C]//International Seminar on Deep Foundations on Bored and Auger Piles (2nd),1993:381-384.[6]GUO W D,RANDOLPH M F.Rationality of load transfer approach for pile analysis[J].Computers and Geotechnics,1998,23(1):85-112.[7]SEED H B,REESE L C. The action of soft clay along friction piles[J]. American Society of Civil Engineers Transactions,1955,122:731-754.[8]KRAFT L M,RAY R P,KAGAWA T. Theoretical τz curves[J]. Journal of the Geotechnical Engineering Division,ASCE,1981,107 (11):1543-1561.[9]ZHU H,CHANG M F. Load transfer curves along bored piles considering modulus degradation [J]. Journal of Geotechnical Engineering Division, ASCE, 2002,128(9):764-774.[10]VIJAYVERGIYA V N. Load-movement characteristics of piles[C]//4th Symposium of Waterway,Port,Coastal and Ocean Division, ASCE,Long Beach:Calif.,1977:269-284.[11]KEZDI A.The bearing capacity of piles and pile groups[C]//Proceedings,4th International Conference on Soil Mechanics and Foundation Engineering,London,1957:46-51.[12]RANDOLPH M F,WROTH C P.Analysis of deformation of vertically loaded piles[J]. Journal of the Geotechnical Engineering Division,ASCE,1978,104(12):1465-1487.[13]PELLS P J N,TURNER R M.Elastic solution for the design and analysis of rock-socketed piles[J]. Candian Geotechnical Journal,1997,34(3):481-487.[14]刘杰,张可能,肖宏彬.考虑桩侧土软化时单桩荷载-沉降关系的解析算法[J].中国公路学报,2003, 16(2):61-64.[15]XIAO H B,LUO Q Z. Prediction of load-settlement relationship for large-diameter piles[J]. The Structural Design of Tall Buildings,2002,11(4):241-258.[16]肖宏彬.竖向荷载作用下大直径桩的荷载传递理论及应用研究[D].长沙:中南大学,2005.