-
J. J. Moughty, J. R. Casas. A state of the art review of modal-based damage detection in bridges: development, challenges, and solutions[J]. Applied Sciences, 2017, 7(5): 510.
-
A. H. H. Shahri, A. K. Ghorbani-Tanha. Damage detection via closed-form sensitivity matrix of modal kinetic energy change ratio[J]. Journal of Sound and Vibration, 2017, 401: 268-281.
-
A. Datteo, G. Quattromani, A. Cigada. On the use of AR models for SHM: A global sensitivity and uncertainty analysis framework[J]. Reliability Engineering & System Safety, 2018, 170: 99-115.
-
C. R. Ashokkumar, N. G. R. Lyengar. Partial eigenvalue assignment for structural damage mitigation. Journal of Sound and Vibration, 2011, 330: 9-16.
-
陈雪峰,杨志勃,田绍华等. 复合材料结构损伤识别与健康监测展望[J]. 振动、测试与诊断,2018,1: 1-10.
Chen XueFeng, Yang ZhiBo,Tian ShaoHua. A Review of the Damage Detection and Health Monitoring for Composite Structures[J]. Journal of Vibration,Measurement & Diagnosis,2018,1: 1-10.(in Chinese)
-
Q. W. Yang, J. K. Liu. Damage identification by the eigenparameter decomposition of structural flexibility change. International Journal for Numerical Methods in Engineering, 2009, 78(4): 444-459.
-
战家旺, 闫宇智, 强伟亮等. 一种基于频响函数相似性的铁路桥墩损伤识别方法[J]. 中国铁道科学, 2018, 2: 37-43.
Zhan JiaWang, Yan YuZhi, Qiang WeiLiang. Damage Identification Method for Railway Pier Based on Frequency Response Function Similarity[J]. China Railway Science, 2018, 2: 37-43.(in Chinese)
-
W. J. Yan, W. X. Ren. A direct algebraic method to calculate the sensitivity of element modal strain energy. International Journal for Numerical Methods in Biomedical Engineering, 2011, 27(5): 694-710.
-
薛建阳, 白福玉, 张锡成等. 古建筑木结构榫卯节点刚度的地震损伤分析和识别[J]. 振动与冲击, 2018, 6: 47-54.
Xue JianYang, Bai FuYu, Zhang XiCheng. Seismic damage analysis and identification for the stiffness of ancient timber buildings mortise-tenon joints[J]. Journal of Vibration and Shock, 2018, 6: 47-54.(in Chinese)
-
Z. R. Lu, M. Huang, J. K. Liu. State-space formulation for simultaneous identification of both damage and input force from response sensitivity. Smart Structures and Systems, 2011, 8(2): 157-172.
-
C. N. Wong, H. Z. Huang, J. Q. Xiong, H. L. Lan. Generalized-order perturbation with explicit coefficient for damage detection of modular beam. Archive of Applied Mechanics, 2011, 81(4): 451-472.
-
A.K.Liu. A new class of some biased regression estimators[J]. CommStatist.Theory Methods, 1993.22.393-402.
-
KejianLiu. Using Liu-Type Estimator to Combat Collinearity[J]. Communications in Statistics, 2003, 32(5):1009-1020.
-
刘运航, 宋力杰. 病态半参数回归模型的岭估计求解[J]. 海洋测绘, 2008, 28(4):1-3.
Liu YunHang, Song LiJie. Ridge Estimation Method for Ill-Conditioned Semiparametric Regression Model[J]. Hydrographic Surveying and Charting, 2008, 28(4):1-3.(in Chinese)
-
王乐洋, 许才军. 附有病态约束反演问题的岭估计法[J]. 武汉大学学报(信息科学版), 2011, 36(5):612-616.
Wang LeYang, Xu CaiJun. Ridge Estimation Method in Inversion Problem with Ill-posed Constraint[J]. Geomatics and Information Science ofWuhan University, 2011, 36(5):612-616.(in Chinese)
-
Jibo Wu, Hu Yang. Efficiency of an almost unbiased two-parameter estimator in linear regression model[J]. Statistics, 2013, 47(3):535-545.
-
YalianLi, HuYang. On the Performance of the Jackknifed Modified Ridge Estimator in the Linear Regression Model with Correlated or Heteroscedastic Errors[J]. Communications in Statistics, 2011, 40(15):2695-2708.
-
Hansen P C. Truncated singular value decomposition solutions to discrete ill-posed problems with ill-determined numerical rank[M]. Society for Industrial and Applied Mathematics, 1990.
-
李睿, 于德介, 曾威. 模式密度方法在结构异常检测中的应用研究[J]. 振动工程学报, 2008, 21(4):343-348.
Li Rui, Yu DeJie, Zeng Wei. Application of Structural damage diagnosis using density-based outlier detection[J]. Journal of Vibration Engineering, 2008, 21(4):343-348.(in Chinese)
-
熊红霞, 刘沐宇, 刘可文. 小波变换与SVD方法在结构损伤监测中的应用[J]. 公路, 2009(3):96-101.
Xiong HongXia, Liu MuYu, Liu KeWen. Application of Wavelet Transform and SVD Method In Damage Monitoring of Structure[J]. Highway, 2009(3):96-101.(in Chinese)
-
张立涛, 李兆霞, 费庆国,等. 结构损伤识别中的若干正则化问题研究[J]. 工程力学, 2008, 25(5):45-52.
Zhang LiTao, Li ZhaoXia, Fei QingGuo, et al. Studies On Some of Regularization Problems In Structural Dama[J]. Engineering Mechanics, 2008, 25(5):45-52.(in Chinese)
-
郭惠勇, 罗乐, 盛懋等. 基于岭估计L 曲线的损伤识别技术研究[J]. 振动与冲击, 2015, 34(4):200-204.
Guo HuiYong, Luo Le, Sheng Mao, et al. Structural damage identification method based on ridge estimation and L-curve[J]. Journal of Vibration & Shock, 2015, 34(4):200-204.(in Chinese)
-
张勇, 侯之超, 赵永玲. 基于频响函数截断奇异值响应面的有限元模型修正[J]. 振动工程学报, 2017, 30(3):341-348.
Zhang Yong, Hou ZhiChao, Zhao YongLing. Finite element model updating based on response surface of the truncated singular values of frequency response functions[J]. Journal of Vibration Engineering, 2017, 30(3):341-348.(in Chinese)
-
和禹含,刘坤. 基于奇异值分解和时域灵敏度分析的框架结构损伤识别方法[J]. 声学与振动, 2018, 6(1):8-15
He YunHan, Liu Kun. Damage Detection Method of Frame Structure Based on Singular Value Decomposition and Time Domain Sensitivity Analysis[J]. Open Journal of Acoustics and Vibration, 2018, 6(1):8-15(in Chinese)
-
Q. W. Yang. A new damage identification method based on structural flexibility disassembly. Journal of Vibration and Control, 2011, 17(7): 1000-1008.
-
杨秋伟, 孙斌祥. 结构损伤识别的改进柔度灵敏度方法研究[J]. 振动与冲击, 2011,30(5):27-31.
Yang QiuWei, Sun Binxiang. An improved flexibility sensitivity method for structural damage detection[J]. Journal of Vibration and Shock, 2011,30(5):27-31. (in Chinese)
-
A. Neumaier. Solving ill-conditioned and singular linear systems: A tutorial on regularization[J]. SIAM review, 1998, 40(3): 636-666.
-
A. E. Hoerl, R. W. Kennard. Ridge regression: Biased estimation for nonorthogonal problems[J]. Techno metrics, 1970, 12(1): 55-67.
-
W. J. Hemmerle. An explicit solution for generalized ridge regression[J]. Techno metrics, 1975, 17(3): 309-314.
-
J. L. Mead, R. A. Renaut. A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems[J]. Inverse Problems, 2008, 25(2): 025002.
-
T. C. Silva, A. A. Ribeiro, G. A. Periçaro. A new accelerated algorithm for ill-conditioned ridge regression problems[J]. Computational and Applied Mathematics, 2017: 1-18.
-
A. Gholami, H. M. Gheymasi. Regularization of geophysical ill-posed problems by iteratively re-weighted and refined least squares[J]. Computational Geosciences, 2016, 20(1): 19-33.
-
K. E. Prikopa, W. N. Gansterer, E. Wimmer. Parallel iterative refinement linear least squares solvers based on all-reduce operations[J]. Parallel Computing, 2016, 57: 167-184.
-
J. Lee, S. Cheon. Estimation for the multi-way error components model with ill-conditioned panel data[J]. Journal of the Korean Statistical Society, 2017, 46(1): 28-44.
-
L. W. Zhang, K. M. Liew. An improved moving least-squares Ritz method for two-dimensional elasticity problems[J]. Applied Mathematics and Computation, 2014, 246: 268-282.
-
X. Deng, L. Yin, S. Peng, et al. An iterative algorithm for solving ill-conditioned linear least squares problems[J]. Geodesy and Geodynamics, 2015, 6(6): 453-459.
-
H. Y. Jun, J. H. Park. Generation of optimal correlations by simulated annealing for ill-conditioned least-squares solution[J]. Journal of Nuclear Science and Technology, 2015, 52(5): 670-674.