摘要
研究基于奇异值截断的结构损伤识别方法,用于解决损伤识别计算中的方程组病态问题。详细讨论了截断阈值的选取和误差水平对计算结果的影响。另外,为了进一步提高计算精度,在第一次计算结果的基础上,通过改变加载方式并再次利用奇异值截断的方法计算,可以获得比第一次计算更加准确的结果。数值试验表明了所提方法是合理可行的,具有较好的抗噪声性能,在噪声水平不大于10%时能够计算获得比较准确的识别结果。
The singular value truncation method is studied in this work for structural damage identification.The main advantage of the proposed method is that it can obtain the robust and accurate results by the ill-posed linear equations due to measurement noise.The influences of the truncation threshold value and the error level on the calculation result are discussed in detail.In addition,the second calculation using the singular value truncation method by another loading state is proposed in order to further improve the accuracy of the calculation.The numerical experiments show that the proposed method is reasonable and feasible,and has better anti-noise performance than the least squares method.When the noise level is less than 10%,the accurate enough results can be obtained.It was found that the proposed method is promising for structural damage identification.
作者
杨秋伟
陆晨
李翠红
YANG QiuWei;LU Chen;LI CuiHong(Department of Civil Engineering,Shaoxing University,Shaoxing 312000,China)
出处
《机械强度》
CAS
CSCD
北大核心
2019年第4期976-982,共7页
Journal of Mechanical Strength
基金
国家自然科学基金项目(11202138)资助~~
关键词
损伤识别
奇异值截断
测量噪声
位移参数
Damage identification
Singular value truncation
Measurement noise
Displacement parameter
