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环境激励下基于柔度矩阵分解的损伤诊断

李国庆 罗帅 苏睿 王泽铭 汪城

李国庆, 罗帅, 苏睿, 王泽铭, 汪城. 环境激励下基于柔度矩阵分解的损伤诊断[J]. 应用数学和力学, 2021, 42(3): 292-298. doi: 10.21656/1000-0887.410257
引用本文: 李国庆, 罗帅, 苏睿, 王泽铭, 汪城. 环境激励下基于柔度矩阵分解的损伤诊断[J]. 应用数学和力学, 2021, 42(3): 292-298. doi: 10.21656/1000-0887.410257
LI Guoqing, LUO Shuai, SU Rui, WANG Zeming, WANG Cheng. Research on Damage Diagnosis Based on Flexibility Matrix Decomposition[J]. Applied Mathematics and Mechanics, 2021, 42(3): 292-298. doi: 10.21656/1000-0887.410257
Citation: LI Guoqing, LUO Shuai, SU Rui, WANG Zeming, WANG Cheng. Research on Damage Diagnosis Based on Flexibility Matrix Decomposition[J]. Applied Mathematics and Mechanics, 2021, 42(3): 292-298. doi: 10.21656/1000-0887.410257

环境激励下基于柔度矩阵分解的损伤诊断

doi: 10.21656/1000-0887.410257
基金项目: 广东省自然科学基金(2015A030310168)
详细信息
    作者简介:

    李国庆(1993—),男,硕士生(E-mail: 1731526587@qq.com);罗帅(1981—),男,博士(通讯作者. E-mail: 2657882848@qq.com).

  • 中图分类号: O342|TU317

Research on Damage Diagnosis Based on Flexibility Matrix Decomposition

  • 摘要: 为了解决环境激励作用下结构自由度不完备对损伤诊断的影响,提出了一种基于自由度缩聚的比例柔度矩阵分解损伤诊断法.利用附加质量法求解出环境激励作用下振型关于质量归一化因子.进而根据质量归一化因子和比例柔度矩阵系数之间的关系,构建出其比例柔度矩阵,再通过使用QR矩阵分解法对构建出的比例柔度矩阵进行分解.以分解后得到的三角矩阵(R矩阵)作为研究对象,将〖WTHX〗R〖WTBX〗矩阵经过相应的数学算法处理得到最终损伤定位指标.算例研究表明:在环境激励作用下考虑自由度缩聚的影响,无论对于单损伤还是多损伤,所提损伤定位指标均表现出较高的准确性,且具有一定的鲁棒性.该文基于矩阵分解法推导出的损伤定位指标可以应用在环境激励作用下的损伤诊断,同时也为自由度不完备结构的损伤诊断提供了新研究思路.
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出版历程
  • 收稿日期:  2020-09-01
  • 修回日期:  2021-01-07
  • 刊出日期:  2021-03-01

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