河北大学学报(自然科学版) ›› 2020, Vol. 40 ›› Issue (3): 232-239.DOI: 10.3969/j.issn.1000-1565.2020.03.002

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基于功率谱灵敏度的子结构损伤识别方法

方有亮, 李宗娆,张颖,娄佳琪   

  • 收稿日期:2019-09-27 出版日期:2020-05-25 发布日期:2020-05-25
  • 通讯作者: 张颖(1981—), 女,河北晋州人,河北大学讲师,主要从事工程结构健康监测方面研究.E-mail:hbuzy@163.com
  • 作者简介:方有亮(1967—), 男,河北张家口人,河北大学教授,博士后,主要从事土木工程结构健康监测和结构振动分析与控制、结构灾害模拟研究. E-mail:fang_youliang@126.com
  • 基金资助:
    河北省建设科技研究计划项目(20190701)

Substructure damage identification method based on power spectrum sensitivity

FANG Youliang, LI Zongrao, ZHANG Ying, LOU Jiaqi   

  1. College of Civil Engineering and Architecture, Hebei University, Baoding 071002, China
  • Received:2019-09-27 Online:2020-05-25 Published:2020-05-25

摘要: 提出功率谱灵敏度与子结构缩聚技术结合的损伤识别方法,在分析响应功率谱对结构单元面积灵敏度的过程中采用差分法,解决了求解参数的偏微分较困难的问题;并将整体结构划分为若干子结构,对未损伤子结构采用Guyan缩聚技术,通过功率谱灵敏度分析的方法对缩聚结构进行损伤识别,该方法只需测量结构的少数几个自由度的响应就可以达到损伤检测的目的.最后,通过1个三层两跨的刚架模型验证了该方法的有效性.

关键词: 功率谱灵敏度, 差分法, 子结构, Guyan缩聚, 损伤识别

Abstract: A damage identification method combining power spectrum sensitivity and substructure polycondensation technology was proposed. The finite difference method was used in the process of analyzing the sensitivity of the response power spectrum to the structural element area, which solved the problem that the partial differential of the solution parameters is difficult; in addition, the overall structure is divided into several substructures, the Guyan polycondensation technology for undamaged substructures was adopted. Damaged identification of condensed structures is carried out by power spectral sensitivity analysis and the method only needs to measure the response of a few degrees of freedom of the structure to achieve the purpose of damage detection. Finally, the effectiveness of the proposed method is verified by a three-layer and two-span rigid frame model.

Key words: power spectrum sensitivity, method of difference, substructure, Guyan polycondensation, damage identification

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