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Palestra: Computational methods in vibration control and FEM updating of some industrial problems

Computational methods in vibration control and FEM updating of some  industrial problems
Biswa Datta, Distinguished Professor, Department of Mathematics, Nothern Illinois University
Local: Auditório Luiz Antônio Fávaro, ICMC.


This talk deals with computational aspects of two industrial problems, active vibration control and finite  element model updating arising in mechanical vibration and structural dynamics. Active vibration control refers to controlling dangerous vibrations in mechanical structures, such as buildings, bridges, highways, automobiles, air and space crafts, and others.  Finite Element Model Updating Problem (FEMUP) arising in the design and analysis of structural dynamics, refers to updating an analytical finite element model so that a set of measured eigenvalues and eigenvectors from a real-life structure are reproduced and the physical and structural properties of the original model are preserved.  These aspects give rise to the nonlinear unconstrained optimization problems:  the Robust Quadratic Partial Eigenvalue Assignment Problem (RQPEVAP) and the Minimum Norm Quadratic Partial Eigenvalue Assignment Problem (MNQPEVAP).  A properly updated model can be used in confidence for future designs and constructions and  to damage detections in structures. Solutions of FEMUP also give rise to several constrained nonlinear constrained optimization problems. I shall give an overview of the recent developments on computational methods for these nonlinear optimization problems and discuss directions of future research.
Observação: The talk is interdisciplinary in nature and will be of interests to mathematicians, computational and applied mathematicians, and control and vibration engineers.