基于虚功原理的移动荷载识别积分方程法  

Integral Equation Method of Moving Load Identification Based on the Principle of Virtual Work

作　　者：徐训 田克兢 林廷灿 朱亚杉 XU Xun;TIAN Ke-jing;LIN Ting-can;ZHU Ya-shan(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学土木工程与建筑学院,武汉430070

出　　处：《武汉理工大学学报》2022年第3期58-64,70,共8页Journal of Wuhan University of Technology

基　　金：国家自然科学基金青年科学基金(51708435)。

摘　　要：移动荷载识别是桥梁结构健康监测的关键研究内容,基于运动微分方程的荷载识别算法在求解稳定性及噪声鲁棒性上需进一步改进。建立模态运动方程并运用虚功原理得到等效积分方程,将结构响应用勒让德多项式进行参数化表达,结合分部积分法将积分方程转化为代数方程求解。研究多种荷载形式在不同噪声工况下的相关参数对识别精度的影响,通过数值仿真验证了所提方法的有效性。该方法丰富了移动荷载识别的理论研究,对于桥梁荷载在线识别具有工程实用价值。Moving load identification is the key research content of bridge structural health monitoring.The load identification algorithm based on differential equation of motion needs to be further improved in solution stability and noise robustness.The modal equation of motion was established and the equivalent integral equation was obtained by using the principle of virtual work.The structural response was expressed parametrically by Legendre polynomials,and the integral equation was converted into an algebraic equation with the integration by parts method.The influence of the relevant parameters of various load forms on the identification accuracy under different noise conditions was studied,and the effectiveness of the proposed method was verified by numerical simulation.The method enriches the theoretical research of moving load identification,and has engineering practical value for bridge load online identification.

关 键 词：虚功原理 积分方程 移动荷载识别 形函数 

分 类 号：F403.3[经济管理—产业经济]