Dynamic force identification based on enhanced least squares and total least-squares schemes in the frequency domain

By Yi Liu, W. Shepard. 2005

195 citations recorded by the source corpus.

Subfields: Applied Mathematics, Automotive Engineering, Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/108f23bf035a8a3922685d932d588585a3203669

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Automotive Engineering

In Civil and Structural Engineering

Citations in the corpus

Multi-source random excitation identification for stochastic structures based on matrix perturbation and modified regularization method (2019, methodology): “[16] applied the enhanced least squares and total least-squares (TLS) schemes in frequency domain to identify dynamic force,considering the measuring noise of responses.”
Design of sensor networks for instantaneous inversion of modally reduced order models in structural dynamics (2015, methodology): “Many methods were proposed, most of them based on the inversion of the frequency response function [1, 2, 3] or making”
Robust estimate of excitations in mechanical systems using M-estimators—Theoretical background and numerical applications (2008, methodology): “Another recent proposal [4] to improve the method of least squares method is focused on the application of suitable regularization filters, namely the truncated singular value decomposition filter and the Tikhonov’s filter, along with total least squares.”
A load identification method based on wavelet multi-resolution analysis (2014, methodology): “Liu [10] analyzed two commonly used regularization methods: the truncated singular value decomposition method (TSVD) and the Tikhonov filter method in detail.”
The application of cubic B-spline collocation method in impact force identification (2015, methodology): “To overcome this instability of the FRF inverse matrix, Liu [15] combined the TSVD and Tikhonov regularization methods with the conventional least squares scheme at frequencies near the structural resonances for solving force identification problems.”