上海大学学报(自然科学版) ›› 2018, Vol. 24 ›› Issue (5): 841-852.doi: 10.12066/j.issn.1007-2861.1844

• 研究论文 • 上一篇    

基于不完备静态数据的结构损伤两阶段识别方法

杨万锋, 杨骁()   

  1. 上海大学 土木工程系, 上海 200444
  • 收稿日期:2016-09-25 出版日期:2018-10-30 发布日期:2018-10-26
  • 通讯作者: 杨骁 E-mail:xyang@shu.edu.cn

Two-stage identification of structural damage based on incomplete static data

YANG Wanfeng, YANG Xiao()   

  1. Department of Civil Engineering, Shanghai University, Shanghai 200444, China
  • Received:2016-09-25 Online:2018-10-30 Published:2018-10-26
  • Contact: YANG Xiao E-mail:xyang@shu.edu.cn

摘要:

在结构损伤识别中, 由于实测数据有限而待识别参数过多, 往往导致传统的结构损伤识别方法判断损伤位置不准确或损伤程度识别误差较大, 从而限制了其在复杂结构中的应用. 将基于静态应变能的损伤定位指标和基于有限元缩聚法的损伤程度计算相结合, 提出了一种两阶段的结构损伤识别方法. 该方法利用损伤定位指标对结构可能的损伤位置进行定位, 在确定可能损伤位置的基础上, 利用模拟退火算法求解损伤状态方程, 从而确定损伤程度. 为验证该方法的有效性和可靠性, 分别对5单元超静定、13单元静定和10单元超静定平面桁架的损伤识别进行了数值模拟. 结果表明, 该方法不仅可有效地识别出结构的损伤位置和程度, 而且对测量噪声具有较强的鲁棒性.

关键词: 损伤识别, 不完备静态数据, 静态应变能, 模拟退火算法, 鲁棒性

Abstract:

In structural damage identification, traditional methods often result in wrong damage locations and large error in the degree of damages due to limited measurements and too many parameters. Applications of these methods are limited for complex structures. A two-stage identification method for structural damage based on incomplete static data is presented in this paper. The method combines damage localization index based on static strain energy and damage degree computation based on a finite element condensation technique. Possible damage locations of the structure are located with the damage localization index. The degrees of damage are determined by solving the damage state equation with a simulated annealing algorithm. To verify availability and reliability of the proposed method, damaged identifications of a 5 element statically indeterminate, a 13 element statically determinate, and a 10 element statically indeterminate planar trusses are simulated numerically. The results show that the proposed method can effectively identify locations of structural damage and the degrees of the damage. It is robust against measurement noise.

Key words: damage identification, incomplete static data, static strain energy, simulated annealing algorithm, robustness

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