吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (3): 518-526.

• 数学 • 上一篇    下一篇

基于广义模态柔度矩阵的结构损伤识别

谢少鹏, 吴柏生, 钟慧湘   

  1. 广东工业大学 机电工程学院, 广州 510006
  • 收稿日期:2019-11-22 出版日期:2020-05-26 发布日期:2020-05-20
  • 通讯作者: 吴柏生 E-mail:wubs@gdut.edu.cn

Structural Damage Identification Based onGeneralized Modal Flexibility Matrix

XIE Shaopeng, WU Baisheng, ZHONG Huixiang   

  1. School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2019-11-22 Online:2020-05-26 Published:2020-05-20
  • Contact: WU Baisheng E-mail:wubs@gdut.edu.cn

摘要: 用最小平方正交三角分解(LSQR)法研究结构损伤识别问题, 首先提出一种损伤定位方法, 然后将基于广义模态柔性矩阵的损伤识别问题转化为最小二乘问题, 最后用LSQR方法逐步确定损伤的位置和程度. 所给算例验证了方法的有效性.

关键词: 广义模态柔度矩阵, 损伤识别, LSQR法

Abstract: We used least square QRfactorization (LSQR) method to study the problem of structural damage identification. Firstly, we proposed a damage location method. Secondly, the damage identification problem based on the generalized modal flexibility matrix was transformed into a least squares problem. Finally, the LSQR method was used to progressively determine the location and extent of damage. The effectiveness of the proposed method was verified by two examples.

Key words:  , generalized modal flexibility matrix, damage identification, LSQR method

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