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Ill-Posedness Determination of Moving Force Identification and Parameters Selection for Regularization Methods.
- Source :
- International Journal of Structural Stability & Dynamics; Jul2021, Vol. 21 Issue 8, pN.PAG-N.PAG, 30p
- Publication Year :
- 2021
-
Abstract
- Moving force identification (MFI) from dynamic responses of bridges is a typical inverse problem with ill-posedness. Under the efforts of researchers, some regularization methods have been presented to solve the ill-posed problem, but there still lacks an effective index to reveal the ill-posedness of the vehicle–bridge dynamic system such that it can be utilized as a guidance for the regularization parameter selection. In this paper, an ill-posedness indicator (IPI) defined as the ratio of the Fourier coefficient to the singular value is adopted to reveal the ill-posedness in the MFI problem. Simulation results show that the larger the IPI value is, the more obvious the ill-posedness of the vehicle–bridge system equation, namely, the intrinsic factor of ill-posedness in MFI is attributed to very large IPI value. The maximum IPI value increases with the increasing noise level, which leads directly to the ill-posedness of the vehicle–bridge system equation. In addition, a relative percentage error (RPE) is used to select the optimal regularization parameters, while evaluating the ill-posedness existing in the MFI. Using the proposed IPI value, the influence of ill-posedness on identified results is evaluated in this study, which can assist qualitatively and quantitatively in selecting optimal regularization parameters and proper regularization methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194554
- Volume :
- 21
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- International Journal of Structural Stability & Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 151191157
- Full Text :
- https://doi.org/10.1142/S0219455421501145