超长桩承载性状的最小势能数值计算方法  

Numerical Calculation Method of Overlength Pile Based on Principle of Minimum Potential Energy

作　　者：刘思思[1] 肖宏彬[1] 谢忠球[1] 易锦[1] 

机构地区：[1]中南林业科技大学土木工程与力学学院,湖南长沙410004

出　　处：《公路交通科技》2012年第9期69-76,共8页Journal of Highway and Transportation Research and Development

基　　金：国家自然科学基金项目(51108470);湖南省科技计划项目(2011TT2061)

摘　　要：针对超长桩的计算求解方法问题,基于最小势能原理提出了超长桩承载性状的程序计算方法。首先,对用于程序计算的侧阻及端阻计算模型进行了简要介绍;其次,推导了桩身的能量平衡方程,并由此得到桩身单元的位移、轴力计算式;再次,基于最小势能原理推导了桩身的势能增量计算式,并采用黄金分割法作为计算程序的收敛算法;最后,用工程实例对文中方法进行了验证,通过实测资料获取了实际的桩土荷载传递关系,采用折线模型和双曲线模型并存的程序计算模式,使用黄金分割法对最小势能状态进行搜索,结果表明计算值与实测数据较为符合,文中方法可为实际工程中的科研、设计工作提供参考。For solving overlength pile computational problems, the calculation program method of bearing behavior of overlength pile was given based on the principle of minimum potential energy. First, the lateral resistance and end resistance calculation models used in the program were briefly introduced. Second, the pile energy balance equation was derived, and the calculation formulas of displacement and axial stress of pile elements were obtained. Third, the formula of pile potential energy increment was derived based on the principle of minimum potential energy, and the golden section method was used as the convergence algorithm of the program. At last, the presented method was validated with an engineering example. The actual pile- soil load transfer relationship was obtained through the measured data. The broken line model and hyperbolic model coexisted in the program, and the golden section method was used for searching the minimum potential energy state. The results show that the calculated values and measured data are in good agreement, the presented method can provide a reference for the scientific research and design work in the practical engineering.

关 键 词：桥梁工程 桩基础 能量法 承载性状 荷载传递 最小势能 

分 类 号：U443.15[建筑科学—桥梁与隧道工程]