Structural force identification at unmeasured locations

The indirect identication of forces from the measured response is an ill conditioned problem and its solution is generally very case dependent. Moreover most of the pro posed identication techniques yield amplitude and point of application of forces only when these forces are applied in points where the response is measured. Forces at un measured locations are identied as pseudo or equivalent forces at the selected measured positions. In this paper a technique which uses a reduced dynamic sti ness matrix obtained from a finite element model is developed, capable of identifying forces at both measured and un measured positions. Special attention is addressed to the conditioning of the matrix equation used in the solution algorithm of this critical inverse problem. Examples are presented in support of the proposed work.