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第 38 卷 第 6 期                                                                       Vol. 38, No. 6
             2019 年 11 月                         Journal of Applied Acoustics                 November, 2019

             ⋄ 研究报告 ⋄



                 基于ARX系统辨识模型的钢绞线张拉力识别                                                                  ∗




                                    钱 骥     1,2  李长春      1†   罗映相     1   张俊波     1,2



                                             (1 重庆交通大学土木工程学院        重庆  400074)
                                  (2 重庆交通大学     山区桥梁结构与材料教育部工程研究中心            重庆   400074)
                摘要    钢绞线是预应力结构和大跨索承体系桥梁的核心受力构件,其实际保有应力值将决定结构的承载能力
                和耐久性。以钢绞线超声导波传播过程为独立系统,外在激励和数据采集为系统的输入和输出,通过 ARX 系
                统辨识方法分析钢绞线张拉力引起的系统模型参数变化,并以模型参数为特征向量,构建张拉力识别指标。实
                验结果表明该识别指标具有良好的单调线性变化规律,确定系数达到 0.964;传感器布置在钢绞线端面和侧面
                具有相似的规律性,相对而言,端面布置传感器识别指标的敏感性和线性规律更好;重复加卸载过程,识别指
                标线性拟合斜率比较稳定,受钢绞线应力加载路径影响较小。
                关键词     钢绞线,超声导波,系统辨识,ARX 模型,张拉力识别指标
                中图法分类号: U443.38          文献标识码: A          文章编号: 1000-310X(2019)06-0986-07
                DOI: 10.11684/j.issn.1000-310X.2019.06.011


                      Identification of steel strands tension stress based on ARX system

                                                 identification model


                              QIAN Ji 1,2  LI Changchun 1  LUO Yingxiang 1  ZHANG Junbo  1,2

                          (1  School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China)
                           (2  Engineering Research Center of mountain bridge structure and material of Ministry of
                                  Education, Chongqing Jiaotong University, Chongqing 400074, China)
                 Abstract  Steel strands are the most crucial component in pre-stressed structures and long-span bridges,
                 and its retained stress is the determinant of structure’s carrying capacity and durability. The propagation of
                 ultrasonic guide wave is taken as an independent system in steel strands, meanwhile, the extrinsic motivation
                 and data acquisition is taken as the input and output of the system. Then parameters of system model
                 are analyzed by ARX system identification methods which are relevant to strands tension force, and the
                 identification index is proposed which is based on the eigenvector of model parameter. The experimental results
                 illustrate that the identification index possesses a favorable monotone linear regularity and the determination
                 coefficient comes up to 0.964. Sensors arranged at the end face and side face of the strands have similar feature,
                 and the sensibility and regularity embody better in end face sensor correspondingly. The linear fitting slope of
                 identification index is stability in reloading process and influenced by loading paths diminutively.
                 Key words Steel strands, Ultrasonic guide wave, System identification method, ARX model, Tension
                 identification index


             2019-02-26 收稿; 2019-06-08 定稿
             国家自然科学基金项目 (51478347), 山区桥梁结构与材料教育部工程研究中心项目 (QLGCZX-JJ2017-3), 重庆市自然科学基金面上
             ∗
             项目 (cstc2019jcyj-msxmX0624)
             作者简介: 钱骥 (1983- ), 男, 湖北黄冈人, 博士, 副教授, 研究方向: 结构健康监测与振动控制。
             † 通讯作者 E-mail: 892792312@qq.com
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