2015
DOI: 10.1080/15502287.2015.1080318
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An Improved Iterative Tikhonov Regularization Method for Solving the Dynamic Load Identification Problem

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Cited by 21 publications
(5 citation statements)
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“…Tian et al [ 15 ] utilized piezoelectric ceramic sensors to detect the dynamic response of pipes under impact loads. In addition to these, researchers have also developed other kinds of effective methods, i.e., analytical solutions [ 16 , 17 ], finite element methods [ 18 , 19 ], conjugate gradient methods [ 20 , 21 ], basis function expansion methods [ 22 , 23 ], regularization methods [ 24 , 25 , 26 ], experimental detection methods [ 4 , 5 , 27 , 28 ], and artificial neural networks [ 29 ] have all been developed for impact recognition tasks.…”
Section: Introductionmentioning
confidence: 99%
“…Tian et al [ 15 ] utilized piezoelectric ceramic sensors to detect the dynamic response of pipes under impact loads. In addition to these, researchers have also developed other kinds of effective methods, i.e., analytical solutions [ 16 , 17 ], finite element methods [ 18 , 19 ], conjugate gradient methods [ 20 , 21 ], basis function expansion methods [ 22 , 23 ], regularization methods [ 24 , 25 , 26 ], experimental detection methods [ 4 , 5 , 27 , 28 ], and artificial neural networks [ 29 ] have all been developed for impact recognition tasks.…”
Section: Introductionmentioning
confidence: 99%
“…To further improve the identification accuracy, in the follow-up studies, some other regularization methods [ 18 ], such as the function expansion method [ 20 , 21 , 22 ], multiplicative regularization [ 23 , 24 ], sparse regularization [ 25 , 26 , 27 , 28 ], and so on [ 29 , 30 , 31 , 32 ], are introduced into the force identification problem. In particular, for the time-varying external force, it is usually not sparse in the time domain.…”
Section: Introductionmentioning
confidence: 99%
“…Some regularization techniques, such as sparse regularization cannot be directly used in this problem. Meanwhile, for some other improved methods [ 29 , 30 ], the characteristics of time-varying force cannot be identified well. Thus, some scholars have paid attention to combining the function expansion method with a sparse regularization technique [ 25 , 26 , 27 , 33 ].…”
Section: Introductionmentioning
confidence: 99%
“…21 Furthermore, very few references are found about the load identification in the aspect of large noisy levels. [22][23][24] Therefore, we have to seek new advanced computational methods to overcome these shortcomings. A new fast and efficient conjugate gradient method is presented in this paper, also proved by mathematical theory, and exploited to reconstruct dynamic load in the time domain from measured displacement responses.…”
Section: Introductionmentioning
confidence: 99%