桩筏基础的积分方程解法及其参数分析

An integral equation approach and parametric analysis for piled raft foundation

基于较为严格的弹性解析方法,本文采用积分方程法对工程中应用广泛的桩筏基础进行分析,推导出求解所需的第二类Fredholm积分方程,并通过数值计算分析桩筏基础中各桩的荷载分担、沿桩身的荷载传递和位移以及地基土的荷载分担情况,可全面地反映了桩筏基础在工作荷载下的工程性状。与经典文献的对比验证了本文方法的正确性。文中还对桩筏基础进行了较为广泛的参数分析。本文方法可用于分析较大规模的桩筏基础,具有工程应用前景。

Piled raft foundation has been used extensively in civil engineering. Based on a rigorous elastic analysis, an integral equation approach is applied to analyze the piled raft, and then the second kind Fedholm’s equations are deduced to solve the problems in this paper. Using the numerical calculation, loads shared by piles and subsoil, the settlement and the load transfer characters are obtained to investigate the working behavior of pile raft comprehensively. The present method is verified with the classical literatures. An extensive parametric analysis is also made to study the behaviors of piled raft. The present method is suitable to analyze a large-scale piled raft and can be applied to practical engineering.