北京航空航天大学学报 ›› 2016, Vol. 42 ›› Issue (7): 1509-1517.doi: 10.13700/j.bh.1001-5965.2015.0398

• 论文 • 上一篇    下一篇

含区间参数不确定结构的损伤识别方法

杨君坦1, 邱志平1, 李琦2   

  1. 1. 北京航空航天大学航空科学与工程学院, 北京 100083;
    2. 中国科学院沈阳自动化研究所 机器人学国家重点实验室, 沈阳 110016
  • 收稿日期:2015-06-17 出版日期:2016-07-20 发布日期:2016-07-29
  • 通讯作者: 邱志平,Tel.: 010-82339628 E-mail: zpqiu@buaa.edu.cn E-mail:zpqiu@buaa.edu.cn
  • 作者简介:杨君坦 男,硕士研究生。主要研究方向:计算固体力学、智能材料、结构动力学、结构健康监测。E-mail: yangjuntan@buaa.edu.cn;邱志平 男,博士,教授,博士生导师。主要研究方向:计算力学、不确定性、结构动力学、凸模型理论及其结构可靠性。Tel.: 010-82339628 E-mail: zpqiu@buaa.edu.cn
  • 基金资助:
    国家自然科学基金(11372025,11432002);国防基础科研项目(A0820132001);高等学校学科创新引智计划(B07009)

Damage detection of structures with interval uncertain parameters

YANG Juntan1, QIU Zhiping1, LI Qi2   

  1. 1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    2. State Key Laboratory of Robotics, Shenyang Institute of Automation Chinese Academy of Sciences, Shenyang 110016, China
  • Received:2015-06-17 Online:2016-07-20 Published:2016-07-29

摘要: 针对损伤识别中遇到的含统计信息不足的不确定参数的结构,以区间向量来描述其中的不确定参数。基于有限元理论给出了应变模态的测试方法,进一步将应变模态表示为区间参数的函数,结合一阶Taylor展开与区间分析,计算了参数不确定条件下应变模态的界限,给出了一种考虑参数不确定的结构损伤识别方法,并在理论上对比分析了与基于概率方法的区别与联系。为验证方法的合理性,对简支梁在不同位置损伤的情况进行了数值模拟,分析了不同损伤程度以及参数不同不确定程度下简支梁应变模态的变化规律,简要讨论了噪声对识别准确性的影响。为含不确定参数的结构的损伤识别提供了一种新的方法和思路。

关键词: 损伤识别, 不确定参数, 区间分析, 有限元法, 模态分析

Abstract: To deal with structures with uncertain parameter which often lacks sufficient statistical information in damage detection, the uncertain parameters were modeled as interval numbers. The structural strain modal testing method was introduced using finite element method, and the strain modal was further expressed as the function of the interval parameter. Combined with the first order Taylor expansion and interval analysis, the range of each strain modal under parameter uncertainty is estimated, and thus we obtained an approach for structural damage detection considering uncertainty. Comparison between the proposed method and the traditional probabilistic method was conducted. Numerical simulations of a simply supported beam under different damage were performed by investigating the change of strain modes due to different damage levels and uncertainty levels. The influence rules of damage and uncertainty on strain modal were obtained, and a brief discussion of the impact of noise on damage detection was performed. The work of this paper provides a new technique and thought for damage detection of uncertain structures.

Key words: damage detection, uncertain parameter, interval analysis, finite element method, mode analysis

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