2018
DOI: 10.1061/(asce)as.1943-5525.0000892
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Identification of Minor Structural Damage Based on Electromechanical Impedance Sensitivity and Sparse Regularization

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Cited by 37 publications
(28 citation statements)
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“…Tikhonov regularization is one of the most popular regularization techniques that can damp out the small measurement errors and single out a relatively accurate solution [15]. So far, it has been widely applied to damage detection [16][17][18] and other related research, such as model updating [19,20] and load identification [21]. Björck [22] gave a general form of Tikhonov regularization as follows:…”
Section: Introductionmentioning
confidence: 99%
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“…Tikhonov regularization is one of the most popular regularization techniques that can damp out the small measurement errors and single out a relatively accurate solution [15]. So far, it has been widely applied to damage detection [16][17][18] and other related research, such as model updating [19,20] and load identification [21]. Björck [22] gave a general form of Tikhonov regularization as follows:…”
Section: Introductionmentioning
confidence: 99%
“…In many previously developed methods, ξ 2 is selected using an L-curve criterion [12,15] or the generalized cross-validation method [20,23], but both methods are time-consuming computational tasks. Besides, the regularization parameter L is usually selected as an identity operator and thus leads to over-smoothing of the solution, which goes against the sparse feature of isolated damage at the early stage of structural deterioration [18]. Wang et al [24] proposed the iterative Tikhonov regularization (ITR) method specialized for the identification of the isolated damage to structures.…”
Section: Introductionmentioning
confidence: 99%
“…Piezoceramic material, with its unique sensing and actuating capacity [8,9,10], high bandwidth [11,12,13,14], low cost, and wide availability in different shapes and sizes, can be used to build transducers to generate and detect stress waves for a variety of purposes [15,16,17,18], including stress wave-based communication [19] and energy harvesting [20]. Recently, some portable, real-time and wireless systems using piezoelectric transducers have been developed successfully for structural health monitoring (SHM) applications [21,22,23,24,25].…”
Section: Introductionmentioning
confidence: 99%
“…The minimization of l 1 norm can be solved by using the internal point method, iterative shrinkage threshold algorithm, and separable approximation method . Very recently, the sparse regularization technique has been applied to solve various problems in civil engineering, such as damage identification and load identification, and so forth.…”
Section: Introductionmentioning
confidence: 99%