重力式挡土墙的截面优化设计研究

Study on optimum cross-section of gravity retaining wall

以重力式挡土墙的截面面积为目标函数,以满足挡墙稳定条件和地基承载力条件为约束,将挡土墙最优截面尺寸的选取问题转化为一个带约束的非线性最优化问题,用乘子法求解,编制了相应的计算程序。基于该计算程序选取不同参数进行计算比较,分析了不同参数取值对最优截面面积的影响。通过一个工程实例的应用,验证了其优化成果是可观的。

Taking the cross-sectional area of a gravity retaining wall as the objective function,and regarding the stability of gravity retaining wall and the bearing capacity of groundwork as restraint conditions,and then the problem of best cross-section selection of gravity retaining wall can be transformed to a question to solve a nonlinear optimal design under some specifical restrictions;and then to solve it by the PHR method.Base on the theory interpreted above,a corresponding program is compiled to solve the question;and the relationship between soil parameters and the optimum cross-sectional area is analyzed.At last,an example is given;it is shown that the optimum design is better than the original one.