桩顶固定时单桩侧向变形与受力的积分方程解法  

Integral Equation Solution of Lateral Deformation and Load for a Single Fixed-head Pile

作　　者：曹明[1] 宋春雨[2] CAO Ming;SONG Chunyu(School of Science and Technology,Shanghai Open University,Shanghai 200433,China;School of Navy Architecture,Ocean&Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海开放大学理工学院,上海200433 [2]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《结构工程师》2018年第5期129-134,共6页Structural Engineers

基　　金：上海开放大学学科重点课题(KX1806);上海市教育委员会科研创新项目(15ZZ103);国家自然科学基金资助项目(51678361)

摘　　要：基于Muki&Sternberg的虚拟桩方法,将水平荷载作用下桩-土相互作用问题分解为弹性半空间地基土和虚拟桩的叠加。通过求解由第二类Fredholm积分方程与桩顶转角固定的转角方程联立的方程组所得到桩顶固定时的桩身弯矩,可以得到桩顶固定时桩身的水平位移和桩身的转角,采用Fortran语言编写程序进行求解。与现有计算结果的比较验证了本文计算方法的正确性。进行了广泛的桩土弹性模量比、桩间距和桩长细比参数分析,为桩顶固定时单桩的的设计和分析提供了参考。According to the fictitious pile method presented by Muki and Sternberg,the problem of laterally loaded pile-to-soil interaction is decomposed into a foundation soil mass characterized by the elastic property and the fictitious pile.Based on the fictitious pile bending moment in the fixed-head pile determined by solving an equation set of the Fredholm integral equation of the second kind and the slope equation for a fixed-head rotation of the pile,the horizontal displacement and slope distributions are obtained.The solution is then computed by using the Fortran program.The accuracy of the present approach is validated by the comparisons with the existing solutions.Extensive parametric studies with regard to the pile-soil stiffness ratio,pile spacing and the pile slenderness ratio are presented graphically for the design and analysis for fixed-head piles.

关 键 词：水平荷载 虚拟桩 积分方程 桩顶固定 

分 类 号：TU473.1[建筑科学—结构工程]