Unified Approach to the Identification of Dynamic Behaviour Using the Theory of Vector Spaces

摘要

The finite element method and modal analysis are compared. Attempts to reconcile the differences in dynamic performance predicted by these methods are reviewed and the problem is rethought in the context of vector space theory. The analysis is built up in stages, commencing with a simple (3x3) matrix example. The introduction of vector space theory permits a reassessment of the techniques mentioned in order to unify the entire process of identification, and allowing it to be extended to the case of viscous damping. A simple beam is used to illustrate the analysis.