Constrained optimization techniques for quadratic matrix model updating
 
 
Description: 

The Quadratic Finite Element Model Updating Problem (QFEMUP) concerns with updating a symmetric second-order finite element model so that it remains symmetric and the updated model reproduces a given set of desired eigenvalues and eigenvectors by replacing the corresponding ones from the original model. Taking advantage of the special structure of the constraint set, it is first shown that the QFEMUP can be formulated as a suitable constrained nonlinear programming problem. Using this formulation, a method based on successive optimizations is then proposed and analyzed. To avoid that spurious modes (eigenvectors) appear in the frequency range of interest (eigenvalues) after the model has been updated, additional constraints based on a quadratic Rayleigh quotient are dynamically included in the constraint set. A distinct practical feature of the proposed method is that it is implementable computing only a few eigenvalues and eigenvectors of the associated quadratic matrix pencil.

Date:  2014-11-12
Start Time:   12:00
Speaker: 

Marcos Raydan (Univ. Simón Bolívar, Venezuela)

Institution:  Universidad Simón Bolívar, Venezuela
Place:  Sala 5.5
Research Groups: -Numerical Analysis and Optimization
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