Levenberg–Marquardt iterative regularization for the pulse-type impact-force reconstruction

Gunawan, Fergyanto E.

doi:10.1016/j.jsv.2012.07.025

Cited by 38 publications

(16 citation statements)

References 26 publications

(19 reference statements)

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“…Once transfer matrix T and output response vector Y are obtained, extended force vector F ex can be calculated by solving equation (9) to eventually obtain the unknown excitation force f ðtÞ. According to the above information, it seems easy to conduct force identification of the nonlinear structure by the direct matrix inversion method.…”

Section: Regularization Methods For Inverse Problemmentioning

confidence: 99%

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A novel strategy for force identification of nonlinear structures

Liu

Ding

Liu

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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Dynamic force is the key indicator for monitoring the condition of a mechanical product. These mechanical structures always encompass some nonlinear factors. Most previous studies focused on obtaining the dynamic force of linear structures. Consequently, this study focuses on the nonlinear mechanical structure, and a novel identification strategy is proposed to indirectly identify the excitation force. For the identification strategy, based on a nonlinear state-space model, a force identification equation for the nonlinear structure is built, wherein the transfer matrix consists of coefficient matrices of the nonlinear state-space model, and these coefficient matrices are calculated by a nonlinear subspace identification algorithm. Then, under the generalized cross-validation criterion, the truncated total least squares method is introduced to solve the ill-posed equation to eventually obtain the excitation force of the nonlinear structure. The identification results from two numerical simulation cases and one experimental case illustrate that the proposed identification strategy can stably and accurately identify the excitation force of nonlinear structures.

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Section: Regularization Methods For Inverse Problemmentioning

confidence: 99%

“…As shown in equation ( 9), output vector Y is directly related to extended force vector F ex by transfer matrix T. Once Y and T have been obtained, unknown F ex is obtained by solving equation (9). Then, unknown excitation force f ðtÞ is extracted from obtained vector F ex .…”

Section: Force Identification Equation Based On Nonlinear State-space Modelmentioning

confidence: 99%

A novel strategy for force identification of nonlinear structures

Liu

Ding

Liu

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

show abstract

“…In addition, Qiao et al imposed a novel impact force reconstruction method based on the primal-dual interior point method (PDIPM), which replaced l 2 -norm by l 1 -norm [22]. Gunawan extended the Levenberg-Marquardt (LM) method and a variant of the Gauss-Newton methods, in order to solve the ill-posed pulse-type impact-force inverse problem in conjunction with a trust region strategy [23]. A novel method was proposed to identify loads with the combination of the Tikhonov regularization and singular value decomposition (SVD) based on the condition [24].…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study of Regularization Method in Structure Load Identification

Miao

Feng

Jiang

et al. 2018

Shock and Vibration

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This study aims to correlate the vibration data with quantitative indicators of structural health by comparing and validating the feasibility of identifying unknown excitation forces using output vibration responses. First, numerical analysis was performed to investigate the accuracy, convergence, and robustness of the load identification results for different noise levels, sensors numbers, and initial estimates of structural parameters. Then, the laboratory beam structure experiments were conducted. The results show that using the two identification methods Tikhonov (L-curve) and TSVD (GCV-curve) can successfully and accurately identify the different excitation forces of the external hammer. The TSVD based on GCV method has more advantages than the Tikhonov based on L-curve method. The proposed two kinds of load identification procedure based on vibration response can be applied to the safety performance evaluation of the railway track structure in future inverse problems research.

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“…parameter identification for each transient. In each iteration, transients are modeled by a parameterized double-side asymmetric one based on Morlet wavelet, and then the Levenberg-Marquardt (LM) method [47][48][49], as a nonlinear least square method, is introduced for parameter identification. With the implementation of the iterative extraction, transients in vibration signals can be analyzed and extracted one by one.…”

Section: Introductionmentioning

confidence: 99%