华南理工大学学报(自然科学版) ›› 2021, Vol. 49 ›› Issue (8): 85-94.doi: 10.12141/j.issn.1000-565X.200573

所属专题: 2021年土木建筑工程

• 土木建筑工程 • 上一篇    下一篇

基于变换空间法的结构参数识别及地震输入反演

杨纪鹏夏烨1† 孙利民1,2   

  1. 1.同济大学 桥梁工程系,上海 200092;2.同济大学 土木工程防灾国家重点实验室,上海 200092
  • 收稿日期:2020-09-25 修回日期:2021-01-31 出版日期:2021-08-25 发布日期:2021-08-01
  • 通信作者: 夏烨(1983-),男,副教授,主要从事桥梁结构健康监测研究。 E-mail:yxia@tongji.edu.cn
  • 作者简介:杨纪鹏(1990-),男,博士生,主要从事桥梁结构健康监测研究。E-mail:yangjplut@163.com
  • 基金资助:
    国家重点研发计划项目(2017YFC1500605)

Structural Parameter Identification and Seismic Input Inversion Based on Transform Space Method

YANG JipengXIA YeSUN Limin1,2   

  1. 1.Department of Bridge Engineering, Tongji University, Shanghai 200092, China;
    2.State Key Laboratory of Disaster 
    Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
  • Received:2020-09-25 Revised:2021-01-31 Online:2021-08-25 Published:2021-08-01
  • Contact: 夏烨(1983-),男,副教授,主要从事桥梁结构健康监测研究。 E-mail:yxia@tongji.edu.cn
  • About author:杨纪鹏(1990-),男,博士生,主要从事桥梁结构健康监测研究。E-mail:yangjplut@163.com
  • Supported by:
    Supported by the National Key R&D Program of China(2017YFC1500605)

摘要: 针对地震作用下结构参数识别及未知输入反演问题,本研究提出一种仅观测部分自由度绝对加速度响应识别结构参数及反演未知输入的方法。首先,该方法基于变换空间法和最小二乘法,直接识别一层以上的结构阻尼和刚度参数;然后,利用识别得到的模态信息,求解一层刚度参数;最后,将动力方程转变到变换空间内,建立相邻采样时刻地震动输入的相关关系模型,提出一种简化的地震动输入反演算法。两层钢筋混凝土框架大尺度模型振动台试验及数值模拟结果表明:所提出的地震动输入反演方法对线性系统具有较高的精度及鲁棒性;对于非线性系统,反演得到的地震动输入时程能够较好地反映地震波低频特性,可进而用于区域结构及建筑群的抗震性能演绎分析。

关键词: 结构参数识别, 地震动输入反演, 频谱特性, 变换空间法, 最小二乘法

Abstract: Aiming at the problem of structural parameter identification and unknown input inversion under earthquake, this paper proposed a method of structural parameter identification and seismic input inversion using only partial absolute acceleration measurements as the observation. Firstly, based on transform space method and least squares method, structural parameters above the first story were identified directly. Then, the stiffness of the first story was identified based on the identified modal information. Finally, the dynamic  equation was transformed into the transform space in which the correlation model of seismic input at adjacent sampling time was established and a simplified input inversion algorithm is presented. Results of numerical simulation and shaking table tests on a two-story reinforced concrete frame show that the proposed method has high accuracy and robustness for linear systems, and for nonlinear systems, the inversion results reflect the low-frequency characteristics of seismic input which can be used on seismic performance deductive analysis for regional structures and buildings.

Key words: structural parameter identification, seismic input inversion, spectral characteristic, transform space method, least square method

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