基于形状描述符的滞回曲线相似性指标的形成  

Formation of hysteretic curve similarity indicators based on shape descriptors

作　　者：陈再现[1,2] 许耀龙 Chen Zaixian;Xu Yaolong(Department of Civil Engineering,Harbin Institute of Technology at Weihai,Weihai 264209,China;Key Laboratory of Civil Engineering Structure and Disaster Prevention in Universities of Shandong,Harbin Institute of Technology at Weihai,Weihai 264209,China)

机构地区：[1]哈尔滨工业大学(威海)土木工程系,威海264209 [2]哈尔滨工业大学(威海)山东省高等学校土木工程结构与防灾实验室,威海264209

出　　处：《Journal of Southeast University(English Edition)》2024年第2期176-184,共9页东南大学学报（英文版）

基　　金：The National Science Foundation of China (No. 52078165)。

摘　　要：为了形成全面的相似度指标以评价滞回曲线的拟合程度,引入了已广泛用于图像特征提取的形状描述符,并提出了基于这些描述符形成计算数值模拟曲线相对于实验曲线的相似度指标的具体流程.根据该流程,形成了一个基于形状上下文的相似度指标.先计算两曲线滞回圈之间的相似度,再对这些相似度进行加权组合,形成整个滞回环的相似度.为了验证该指标,采用Bouc-Wen模型进行数值模拟研究.改变Bouc-Wen模型的5个参数,并形成51条数值模拟曲线,计算这些曲线相对于中值曲线的相似度与力峰值点、耗能、刚度误差.结果表明,相似度与误差之间的斯皮尔曼相关系数绝对值均大于0.78,有强烈的相关性,从而验证了该指标的可行性和指标形成流程的有效性.To develop comprehensive similarity indicators for assessing the fitting degree of hysteretic curves shape descriptors,widely used in image feature extraction,are introduced.A specific process is proposed to delineate the formation of indicators based on these descriptors,enabling the calculation of curve similarity between numerical simulation and experimental data.Following this process,an indicator is devised based on shape context.First,the similarities of the hysteretic loops in the numerical simulation curve are calculated.Subsequently,the weighted sum of these similarities is calculated to derive the similarity of the entire curve.To verify the effectiveness of the indicator,the Bouc-Wen model is utilized to conduct a numerical simulation study.Five parameters of the model are adjusted,resulting in the formation of 51 numerical simulation curves.Similarities of the curve,along with errors in the force peak point,energy dissipation,and stiffness,are calculated.The results show that the absolute values of Spearman’s correlation coefficients between similarity and errors all exceed 0.78,which has a strong correlation,thus verifying the feasibility of the indicator and the effectiveness of the process for forming the indicators.

关 键 词：滞回曲线 形状描述符 形状上下文 BOUC-WEN模型 曲线相似性 

分 类 号：TU317.1[建筑科学—结构工程]