Regularization Methods for Identification of Structural Damage

by H. G. Natke, Univ of Hannover, Hannover, Germany,
J. T. P. Yao, Univ of Hannover, Hannover, Germany,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

Generally, various non-unique solutions may be obtained from ill-conditioned equations. Several methods are available to obtain a unique (minimum energy) solution to a modified and thus well-conditioned problem. Such modification can be accomplished with an additional penalty term (Bayesian approach in estimation) in the quadratic loss function which makes the problem convex.

Subject Headings: Finite element method | Structural analysis | Bayesian analysis | Structural system identification | Mathematics | Energy methods

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