中文摘要：

针对横向受荷桩的相互作用问题,将桩土体系分解为弹性半空间地基土和虚拟桩,基于水平位移协调条件建立两桩相互作用的第二类Fredholm积分方程,采用MATLAB软件编制程序进行求解。基于Chen等提出的横向受荷桩相互作用系数解法,得到了桩顶转角固定条件下水平受荷桩的积分方程解答,与已有算例的对比验证了本文算法的正确性。参数分析表明,固定转角约束条件下两桩的水平位移相互作用系数随着桩间距和荷载方向夹角的增加而减小,随着桩土模量比的增加而增加。基于相互作用系数解法,该方法可应用于转角固定的水平受荷群桩分析。

英文摘要：

An integral equation method is proposed for analyzing the pile groups under lateral loading.The interaction problem between two piles is formulated by decomposing the pile soil system into an extended elastic soil and fictitious piles.According to the displacement compatibility condition,a Fredholm integral equation of the second kind is established and solved by using Matlab software.The present approach extends the interaction factor solutions proposed by Chen Chen（2008） to the more practical case of fixed-head laterally loaded piles,and its accuracy and applicability are validated by means of the existing solutions.Numerical results for two fixed-head laterally loaded piles show that the displacement interaction factors decrease as pile spacing and departure angle increase,but increase with increasing pile-soil slenderness.Based on the interaction factor solutions,the present method can be applied to the responses of fixed-angle pile groups subjected to lateral loading.