预应力锚索抗滑桩结构稳健优化设计
Robust optimization design of anti-slide piles with prestressed anchor cables
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摘要: 稳健优化设计是稳健设计与最优化技术、计算机技术的结合,当前已成为工程稳健设计研究的一个热点。按照这种方法进行预应力锚索抗滑桩设计,既能在设计阶段保证工程质量的稳健性,又能利用优化设计中众多数学模型和成熟的求解方法,更好地解决多变量、多目标、带约束问题的求解。针对正交设计的不足,用均匀设计代替正交设计,应用专业软件模拟计算不同工况下预应力锚索抗滑桩结构顶部水平位移,通过多元回归分析,用回归模型y(xi)代替函数模型y(xi)作为目标函数,设计参数作为优化变量,规范及合同要求作为约束条件,提出一种预应力锚索抗滑桩结构稳健优化设计方法。以昆洛路K1+440~K1+780边坡为例,阐述用MATLAB语言进行预应力锚索抗滑桩稳健优化设计的方法。Abstract: The robust optimization design is the combination of the robust design with the optimization technique and the computer science. It has become a focus of engineering robust design study at present. The project design according to this method assures the robustness of project quality at the stage of design and solves the problem with multi-variables and multi-objectives by using mathematical models and existing methods. Aimed to the shortage of orthogonal design, the orthogonal design is substituted by the uniform design, and the horizontal displacement at top of anti-slide piles with prestressed anchor cables under various possible combinations of parameters is calculated by use of professional design software. Through multiple regression analysis, function model (xi) is substituted by the regression model y(xi) which is regarded as the objective function. The design parameters are taken as the optimization variables, and the codes or contract requirements are taken as the restrictive conditions. On such a basis, a new robust optimization design method of anti-slide piles with prestressed anchor cables based on the robust design principle and optimization theory is put forward. Taking the slope in Kunluo Road K1+440~K1+780 as an example, the present method is described based on language MATLAB.