含外部输入的非线性自回归模型及其在实时混合模拟中的应用  

EXPERIMENTAL STUDY ON NONLINEAR AUTOREGRESSIVE WITH EXOGENOUS INPUT FOR REAL-TIME HYBRID SIMULATION

作　　者：陈梦晖 徐伟杰[1] 高小殊 郭彤[1] 陈城[3] CHEN Meng-hui;XU Wei-jie;GAO Xiao-shu;GUO Tong;CHEN Cheng(Key Laboratory of Concrete and Prestressed Concrete Structures,Ministry of Education Southeast University,Nanjing,Jiangsu 210096,China;School of Civil Engineering,Shandong University,Jinan,Shandong 250061,China;San Francisco State University,San Francisco 94132,USA)

机构地区：[1]东南大学混凝土与预应力混凝土结构教育部重点实验室,江苏南京210096 [2]山东大学土建与水利学院,山东,济南250061 [3]旧金山州立大学工程学院,加州旧金山94132

出　　处：《工程力学》2022年第9期40-47,71,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(51808111,52178114);国家重点研发计划战略性国际科技创新合作重点专项项目(2018YFE0206100);江苏省科协青年科技人才托举工程项目(2021-077)。

摘　　要：传统实时混合模拟对数值子结构多采用有限元计算,对于较复杂或自由度较多的结构,容易导致计算机在指定积分步长内无法完成结构下一步响应的计算。为了提高计算效率,该文提出一种基于代理模型的实时混合模拟方法,采用含外部输入的非线性自回归模型代替有限元计算。以非线性数值子结构和自复位阻尼器试验子结构组成的单自由度体系为对象,使用数值模拟的数据来训练代理模型,并对该模型进行实时混合模拟试验验证。试验结果表明,基于代理模型的实时混合模拟与传统实时混合模拟结果十分接近,具有替代后者的潜力。In traditional real-time hybrid simulation(RTHS),numerical substructures are usually calculated by finite element method;as a result,it is difficult to complete the calculation for complex structures within specified integral step time.In order to improve computational efficiency,a RTHS method based on nonlinear autoregressive with exogenous input(NARX) is proposed.The NARX model is trained through numerical simulation to replace numerical substructure.RTHS of a nonlinear single-degree-of-freedom structure with a selfcentering damper is conducted for proof-of-concept.RTHS tests show that results of NARX based RTHS are almost the same as those of traditional RTHS.Thus it is indicated that NARX based RTHS is a potential alternative for traditional RTHS.

关 键 词：实时混合模拟 含外部输入的非线性自回归模型 非线性 算法 代理模型 

分 类 号：TU317[建筑科学—结构工程] O242.2[理学—计算数学]