对基于模型修正方法的响应面模型用于斜拉桥损伤识别进行了研究,通过对克里格模型、径向基函数、Chebyshev模型、四阶多项式响应面模型的计算对比可知,四阶多项式响应面模型用于斜拉桥损伤识别精度最高。介绍了四阶多项式模型和有约束非线性多目标优化的NSGA-Ⅱ算法,并将其用于一座单塔双跨双索面斜拉桥的损伤识别及损伤定位。通过设定损伤工况,证明了采用四阶多项式响应面模型和NSGA-Ⅱ算法具有精度高、识别准、全局求解能力优良、计算效率高的优点。
The response surface models for cable-stayed bridge damage identification based on model updating method were studied,including the Kriging model,radial basis function(RBF),Chebyshev model,fourth-order polynomial response surface model.According to comparison and calculation,the fourth-order polynomial response surface model has the highest accuracy.This paper introduced the fourth-order polynomial model and nonlinear constrained multi-objective optimization of the non-dominated sorting genetic algorithm Ⅱ(NSGA-Ⅱ) algorithm for damage identification and location of a single tower double-span double-cable plane cable-stayed bridge.By setting the damage condition,it is proved that fourth-order polynomial response surface model and the NSGA-Ⅱ algorithm have the advantages of high precision,accurate recognition,excellent global solving ability and computational efficiency.