非比例阻尼结构动态响应的时间同步分析  

Time synchronization for dynamic responses of non-proportionaldamping structures

作　　者：周华飞 郑宇 ZHOU Huafei;ZHENG Yu(College of Civil Engineering,Zhejiang University of Technology,Hangzhou 310023,China)

机构地区：[1]浙江工业大学土木工程学院,浙江杭州310023

出　　处：《浙江工业大学学报》2024年第2期180-187,216,共9页Journal of Zhejiang University of Technology

基　　金：浙江省基础公益研究计划项目(LGF21E080010);国家自然科学基金面上项目(51578424)。

摘　　要：针对在结构动态响应采集过程中出现的时间异步问题,基于相位与时间的映射关系,通过计算动态响应之间的相位偏差估算其相对时滞;利用相位偏差的周期性缩小相对时滞的搜索范围,减少计算时间。同时,利用多阶模态的平均相位偏差解决因相位偏差周期性造成的相对时滞估算结果不唯一的问题;提出了一种非比例阻尼结构异步动态响应的时间同步算法;通过一个非比例阻尼结构模型的实测位移数据验证该算法的有效性,并在不同阻尼比大小的情况下与其他时间同步算法进行比较。结果表明:该算法无须假设比例阻尼,在阻尼比大小不同情况下均适用,且相较于其他算法具有较高的准确性。In order to solve the time asynchronism problem in the process of dynamic response acquisition,the relative time delay is estimated by calculating the phase deviation between dynamic responses based on the mapping relationship between phase and time.The periodicity of phase deviation is used to narrow the search range of relative delay and to reduce the computational time.At the same time,the average phase deviation of multi-order modes is used to solve the non-unique relative delay estimation caused by the periodicity of phase deviation.A time synchronization algorithm for the asynchronous dynamic response of non-proportionally damped structures is proposed.The validity of the proposed algorithm is verified by the measured displacement data of a non-proportional damping structure model and the algorithm is compared with the other time synchronization algorithms under different damping ratios.The results show that the proposed algorithm is applicable to different damping ratios without assuming proportional damping and has higher accuracy than the other algorithms.

关 键 词：非比例阻尼结构 时间同步 随机子空间 动态响应 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]