基于积分方程逐次逼近理论的迭代混合试验收敛性研究  

Research on Convergence Properties of Iterative Hybrid Testing Based on Successive Approximation Theory of Integral Equations

作　　者：王贞 叶慧聪 吴斌 徐小洋[3] WANG Zhen;YE Hui-cong;WU Bin;XU Xiao-yang(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China;Sanya Science and Education Innovation Park,Wuhan University of Technology,Sanya 5720o0,China;China Construction Second Engineering Bureau Co Ltd Central China Branch,Wuhan 430000,China)

机构地区：[1]武汉理工大学土木工程与建筑学院,武汉430070 [2]武汉理工大学三亚科教创新园,三亚572000 [3]中国建筑第二工程局有限公司华中公司,武汉430000

出　　处：《武汉理工大学学报》2024年第4期24-30,88,共8页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(52078398、52008320、52278211);海南省重大科技计划(ZDKJ2021024)。

摘　　要：以迭代混合试验的收敛性研究为例,采用第二类Volterra积分方程逐次逼近有关理论,对线性结构迭代混合试验迭代结果的收敛性与唯一性进行研究,并采用数值仿真验证了研究的正确性。结果表明:线性结构迭代混合试验是无条件收敛的;积分方程与迭代混合试验具有内在联系。该研究表明积分方程理论可为迭代混合试验的研究发展提供新的思路。Taking the convergence study of iterative hybrid testing as an example,this study utilized the second type of Volterra integral equations to iteratively approximate relevant theories,investigated the convergence and uniqueness of it-erative results for linear structural iterative hybrid testing,and validated the correctness of the research through numerical simulations.The results show that iterative hybrid testing for linear structures can unconditionally converge and there is an inherent connection between integral equations and iterative hybrid testing.This research indicates that the theory of in-tegral equations can provide new insights for the research and development of iterative hybrid testing.

关 键 词：迭代混合试验 积分方程 第二类Volterra积分方程 收敛性 理论分析 

分 类 号：TU317[建筑科学—结构工程]