2019
DOI: 10.1155/2019/6095184
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Dynamic Force Identification Problem Based on a Novel Improved Tikhonov Regularization Method

Abstract: The main purpose of this paper is to identify the dynamic forces between the conical pick and the coal-seam. According to the theory of time domain method, the dynamic force identification problem of the system is established. The direct problem is described by Green kernel function method. The dynamic force is expressed by a series of functions superposed by impulses, and the dynamic response of the structure is expressed as a convolution integral form between the input dynamic force and the response of Green… Show more

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Cited by 8 publications
(3 citation statements)
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“…For example, the work [18] suggests an optimization method based on discrete linear operator equations that reduces inverse problems to minimization of Tikhonov-regularized functionals in which an additional penalty term leads to smoothness of the minimizer. The ideas of Tikhonov regularization are also developed in [16] to solve inverse problems of identification.…”
Section: Introductionmentioning
confidence: 99%
“…For example, the work [18] suggests an optimization method based on discrete linear operator equations that reduces inverse problems to minimization of Tikhonov-regularized functionals in which an additional penalty term leads to smoothness of the minimizer. The ideas of Tikhonov regularization are also developed in [16] to solve inverse problems of identification.…”
Section: Introductionmentioning
confidence: 99%
“…However, the Tikhonov regularization method has some unavoidable limitations and disadvantages. For example, the approximate solution directly obtained from the Tikhonov regularization is too smooth, and the identified result may lack some details that the desired real solution might possess [ 19 ].…”
Section: Introductionmentioning
confidence: 99%
“…The Tikhonov regularization method was employed in force identification using acceleration sensors (Law et al (2001)). In Ren et al (2019), a dynamic force identification was employed to show the applicability of an improved Tikhonov regularization method in ill-conditioned characteristics of a structural matrix. A shape function method combined with the moving least-square scheme was developed to study its performance in load identification, particularly, its capability of reducing the ill-posedness involved in reconstructing loads (Liu et al (2014)).…”
Section: Introductionmentioning
confidence: 99%