Combining Subset Selection and Parameter Constraints in Model Updating
MI Friswell (University of Wales Swansea), JE Mottershead (Liverpool University) & H Ahmadian (Iran University of Science and Technology
Journal of Vibration and Acoustics, Vol. 120, No. 4, October 1998, pp. 854-859
Model updating often produces sets of equations whose solution are ill conditioned and extra information must be used to produce a well conditioned estimation problem. One possibility is to change all the parameters, but to introduce extra constraints, for example by taking the minimum norm solution. This paper takes a different approach, by considering only a subset of the parameters to be in error. The critical decision is then the choice of parameters to include in the subset. The methods of subset selection are outlined and extended to the selection of groups of parameters. The incorporation of side constraints is considered and demonstrated using an experimental example.
This material has been published in the Journal of Vibration and Acoustics, Vol. 120, No. 4, October 1998, pp. 854-859, the only definitive repository of the content that has been certified and accepted after peer review. The copyright has been assigned to the American Society of Mechanical Engineers.
Link to paper using doi: 10.1115/1.2893911
Journal of Vibration and Acoustics