Matrix regularization-based method for large-scale inverse problem of force identification

C Pan, X Ye, J Zhou, Z Sun - Mechanical Systems and Signal Processing, 2020 - Elsevier
Identification of force via structural responses has been widely studied due to the force is
always difficult or even impossible to be measured directly. Force identification is a typical ill …

A state space force identification method based on Markov parameters precise computation and regularization technique

YM Mao, XL Guo, Y Zhao - Journal of Sound and Vibration, 2010 - Elsevier
A time domain force identification approach for linear system is proposed. This approach
can found a highly precise force identification model within the scope of general computer …

Force identification of dynamic systems using virtual work principle

X Xu, J Ou - Journal of Sound and Vibration, 2015 - Elsevier
One of the key inverse problems for estimating dynamic forces acting on a structure is to
determine the force expansion and the corresponding solving method. This paper presents …

Time domain force identification based on adaptive q regularization

Q Li, Q Lu - Journal of Vibration and Control, 2018 - journals.sagepub.com
Traditional time domain force identification methods require prior knowledge about the force
profile to apply the appropriate regularization term. Generally speaking, ℓ 1 and ℓ 2 …

An efficient method to reduce ill-posedness for structural dynamic load identification

J Liu, X Meng, D Zhang, C Jiang, X Han - Mechanical Systems and Signal …, 2017 - Elsevier
For the inverse problem of structural dynamic load identification, high system ill-posedness
is a main cause leading to instability and low accuracy. In this study, an efficient interpolation …

A novel method for force identification based on the discrete cosine transform

B Qiao, X Chen, X Luo, X Xue - … of Vibration and …, 2015 - asmedigitalcollection.asme.org
Force identification is a classical inverse problem, in which the measured data and the
mathematical models of mechanical structures are used to determine the applied force …

A space-frequency multiplicative regularization for force reconstruction problems

M Aucejo, O De Smet - Mechanical Systems and Signal Processing, 2018 - Elsevier
Dynamic forces reconstruction from vibration data is an ill-posed inverse problem. A
standard approach to stabilize the reconstruction consists in using some prior information on …

Study on solving the ill-posed problem of force load reconstruction

X Chang, Y Yan, Y Wu - Journal of Sound and Vibration, 2019 - Elsevier
Force load reconstruction methodology is used to estimate the unknown time-dependent
external load forces in a damped system based on the structural response. However, the …

Dynamic load identification for mechanical systems: A review

R Liu, E Dobriban, Z Hou, K Qian - Archives of Computational Methods in …, 2022 - Springer
Due to the great challenges of measuring forces directly, identifying dynamic loads based on
accessible responses is a crucial problem in engineering, helping ensure integrity and …

Multi-source random excitation identification for stochastic structures based on matrix perturbation and modified regularization method

ZC He, Z Zhang, E Li - Mechanical Systems and Signal Processing, 2019 - Elsevier
In view of the characteristic of pseudo excitation and effects of the regularization parameter λ
on the residual norm and solution norm, a novel modified regularization method is proposed …