结构反演的时空全域代理模型  

Temporal-spatial global surrogate model for structural inversion

作　　者：胡昱[1] 梁国贺[1] 刘畅 李庆斌[1] HU Yu;LIANG Guohe;LIU Chang;LI Qingbin(State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084)

机构地区：[1]清华大学水沙科学与水利水电工程国家重点实验室,北京100084

出　　处：《水力发电学报》2018年第9期84-92,共9页Journal of Hydroelectric Engineering

基　　金：国家自然科学基金(51339003; 51279087);清华大学自主科研项目(20161080079)

摘　　要：建立基于基向量概念的时空全域代理模型,以完全代替复杂数值仿真模型进行反分析。首先利用双层本征正交分解提取系统响应场在时间、空间维度的代表性基向量,将响应场表示为基向量展开基态的线性组合,通过理论推导获得样本响应场在基态上的组合系数计算公式;然后采用径向基函数插值模型建立任意参数与其对应的基态组合系数之间的非线性映射关系。算例验证表明,该方法可针对任意时空自由度的响应场进行代理建模,与数值模型保持相同的输出量个数且可实时输出。This paper presents a temporal-spatial global surrogate model that can be used for reverse analysis as a substitute for the complicated FEM. It extracts the representative base vectors of space and time for a response field through two-layer proper orthogonal decomposition, and expresses this field as a linear combination of the base states. Then, theoretical equations are derived to obtain the basis state combination coefficients of sample response fields. And for any parameters, the corresponding combination coefficients can be calculated via a nonlinear parameter-coefficient relationship that is established forehand using a radial basis function interpolation model. This method can be used to model the temporal-spatial response fields of any degree of freedom and achieve real time outputs, keeping the same number of outputs as that of a FEM model.

关 键 词：结构 安全监测 全域代理模型 本征正交分解 时空基函数 参数空间采样 

分 类 号：TV148[水利工程—水力学及河流动力学]