基于Kriging模型的挡风墙优化设计

摘要

将基于Kriging模型的近似技术引入到挡风墙的优化设计,其关键步骤为:采用最优拉丁超立方试验设计,选取均匀、随机和正交的参数试验样本点,用初始样本点的目标值建立Kriging近似模型,结合优化算法,得到最优参数；在挡风墙的优化设计中,选取路堤和挡风墙为设计变量,倾覆力矩为目标值,建立Kriging模型,应用序列二次规划算法,得到不同路堤下的最优挡风墙高度.研究结果表明:本文方法在挡风墙的优化设计中是高效、可行的,并得到了不同路堤高度下,最合理的挡风墙高度；路堤高度越高,倾覆力矩对挡风墙高度变化的灵敏度越高,最优挡风墙的高度越小.%The approximation technology based on Kiiging model was applied to the optimization design of the wind-break wall. Its key steps are as follows. Firstly, optimal Latin hypercube experimental design is well-proportioned, random and orthogonal in selecting the test sample points. Secondly, Kriging model is created by using the target value of the initial sample points. And the optimal solution is found combined with the optimization programming. In the design of the wind-break wail, variables are embankment and wind-break wall, and target value is overturn moment. At last, the best height of the wind-break wall is found through sequential quadratic programming. The analysis shows that this method can be well used in the design of the wind-break wall, the reasonable height of wind-break wall on different embankments can be obtained; the higher the embankment becomes, the more sensitivity between the overturn and the height of the wind-break wall becomes, and the lower the reasonable height of wind-break wall becomes.