## 留言板

 引用本文: 李国庆, 罗帅, 张丽. 基于自由度缩聚的最小秩修正损伤诊断[J]. 应用数学和力学, 2020, 41(10): 1103-1109.
LI Guoqing, LUO Shuai, ZHANG Li. Minimum Rank Correction Damage Identification Based on Modal Reduction[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1103-1109. doi: 10.21656/1000-0887.410138
 Citation: LI Guoqing, LUO Shuai, ZHANG Li. Minimum Rank Correction Damage Identification Based on Modal Reduction[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1103-1109.

• 中图分类号: TU317

## Minimum Rank Correction Damage Identification Based on Modal Reduction

• 摘要: 为了解决实测模态参数与有限元分析模态参数不匹配对损伤诊断精度影响的问题，推导了基于自由度缩聚法的残余力向量公式及最小秩修正公式.通过对结构自由度缩聚后的损伤前、后残余力向量的运算，可以得出相较于损伤前的残余力变化率向量，将残余力变化率向量元素的绝对值作为改进的残余力向量，通过运用推导出的改进残余力向量，能够较好地解决采用最小秩修正法时所选取模态个数必须等于待修正刚度矩阵秩这一矛盾，并由缩聚后最小秩修正公式计算出损伤程度.研究表明：在考虑噪音干扰下，改进的残余力向量法对自由度缩聚后的受损结构依然具有较高地识别精度.利用推导的最小秩修正公式进行损伤程度识别其结果是可靠的.本文所提方法既可以实现对实测自由度不完备结构的损伤定位，又可进行损伤程度的识别，具有较高的鲁棒性和损伤诊断性能.
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##### 出版历程
• 收稿日期:  2020-05-13
• 修回日期:  2020-05-31
• 刊出日期:  2020-10-01

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