Model updating by adding known masses

New approaches are developed that use measured data to adjust the analytica l mass and stiffness matrices of a system so that the agreement between the analytical modes of vibration and the modal survey is improved. By adding known masses to the structure of interest, measuring the modes of vibration of this mass-modified system, and finally using this set of new data in co njunction with the initial modal survey, the analytical mass matrix of the structure can be corrected, after which the analytical stiffness matrix can be readily updated. By manipulating the correction matrices into vector fo rms, the connectivity information can be enforced, thereby preserving the p hysical configuration of the system and reducing the sizes of the least-squ ares problems that need to be solved. Solution techniques for updating the system matrices are introduced, and the numerical issues associated with so lving overdetermined and underdetermined least squares problems are investi gated. The effects of round-off errors are also studied, and heuristic crit eria are given for determining the minimum number of modes that need to be measured in order to ensure sufficiently accurate updated mass and stiffnes s matrices. Numerical experiments are presented to validate the proposed mo del-updating techniques, to illustrate the effects of the number of measure d modes on the quality of the updated model, to show how the magnitudes and locations of the added masses influence the updated matrices, and to highl ight the numerical issues discussed in this paper. Copyright (C) 2001 John Wiley & Sons, Ltd.