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基于Kriging和NSGA2的大型混凝土W异形柱结构模型修正研究

冯伟¹,凌小宝²,陈愿³,曾涛¹,林春涞¹,王召来¹,李鹏鹏¹

作者单位:

1. 中建三局集团有限公司,湖北 武汉 430000;2. 华中科技大学 土木工程与水利工程学院,湖北 武汉 430074;3.中国铁路上海局集团有限公司杭州铁路枢纽工程建设指挥部 浙江 杭州 311500

摘要:

随着建筑施工技术的不断发展,现代工程中的结构越来越趋于复杂和高维.因此,针对此类结构进行结构模型修正往往面临着求解难度高、计算量大的挑战.针对这一问题,提出了一种基于kriging和NSGA2算法结合的模型修正方法,用于大型混凝土W异形柱结构.首先,将W异形柱划分为五段柱进行模拟,通过MIDAS FEA NX软件建立W异形柱的有限元模型,选取五段柱的弹性模量、容重、截面积i以及截面积j作为模型修正参数,采用拉丁超立方采样法(LHS)生成模型修正参数组合,计算W柱在不同参数组合下的南北两侧沉降量.将模型参数组合作为输入,南北两侧沉降量作为输出,建立kriging有限元代理模型.同时,以实测W柱南北两侧沉降量与有限元计算结果之间的误差最小建立目标函数,结合NSGA2多目标优化算法进行参数寻优,最终更新W柱模型的修正参数.通过验证,修正后的W柱南北两侧沉降量分别为203.0745mm和203.0748mm,与实际测量的217mm和218mm结果接近,证明了所提方法的实用性.

English:

With the continuous development of construction technology, the structures in modern engineering tend to be more complex and high-dimensional. Therefore, the structural model modification for such structures often faces the challenges of high solution difficulty and large amount of calculation. To solve this problem, a model modification method based on the combination of kriging and NSGA2 algorithm is proposed for large concrete W-shaped column structures. Firstly, the W-shaped column is divided into five segments for simulation, and the finite element model of the W-shaped column is established by MIDAS FEA NX software. The elastic modulus, bulk density, cross-sectional area i, and cross-sectional area j of the five segments are selected as the model modification parameters, and the Latin hypercube sampling method (LHS) is used to generate the combination of model modification parameters, and the settlement of the north and south sides of the W-shaped column under different parameter combinations is calculated. Taking the combination of model parameters as the input and the settlement of the north and south sides as the output, a kriging finite element surrogate model is established. At the same time, the objective function is established by minimizing the error between the measured settlement of the north and south sides of the W-shaped column and the finite element calculation results, and the NSGA2 multi-objective optimization algorithm is used for parameter optimization, and finally the modified parameters of the W-shaped column model are updated. Through verification, the settlements of the north and south sides of the modified W-shaped column are 203.0745mm and 203.0748mm, respectively, which are close to the actual measured results of 217mm and 218mm, which proves the practicability of the proposed method.