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1 2003

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Application of the Nonlinear Least Squares Frequency Domain Method to the Estimation of Modal Model Parameters

Iwaniec J., Uhl T.

Machine Dynamics Problems

2003

Vol. 27, No. 2

37-54

The least squares method is the most popular algorithm for solving linear as well as nonlinear systems of equations. In the paper the theoretical basis of the Gauss-Newton and the Levenberg-Marquardt algorithms for solution estimation with the use of the nonlinear least squares method are presented. The discussed schemes of proceeding usually allow the user to improve the quality of the estimated solutions. The analysis of frequency data measured on a real structure with the use of the created software realizing the Gauss-Newton algorithm in the Matlab environment is presented. The comparison of the analysis results estimated by the use of the proposed software and the LSCE (least squares complex exponential) algorithm implemented in the VIOMA toolbox is also included.