Chaotic behaviour in the non-linear optimal control of unilaterally contacting building systems during earthquakes (Conference presentation)

Liolios, A.A.Boglou, A.K.

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The paper presents a new numerical approach for a non-linear optimal control problem arising in earthquake civil engineering. This problem concerns the elastoplastic softening-fracturing unilateral contact between neighbouring buildings during earthquakes when Coulomb friction is taken into account under second-order instabilizing effects. So, the earthquake response of the adjacent structures can appear instabilities and chaotic behaviour. The problem formulation presented here leads to a set of equations and inequalities, which is equivalent to a dynamic hemivariational inequality in the way introduced by Panagiotopoulos [Hemivariational Inequalities. Applications in Mechanics and Engineering, Springer-Verlag, Berlin, 1993]. The numerical procedure is based on an incremental problem formulation and on a double discretization, in space by the finite element method and in time by the Wilson-script v sign method. The generally non-convex constitutive contact laws are piecewise linearized, and in each time-step a non-convex linear complementarity problem is solved with a reduced number of unknowns. © 2002 Elsevier Science Ltd. All rights reserved.
Institution and School/Department of submitter: Δεν υπάρχει πληροφορία
Subject classification: Chaos theory
Keywords: Earthquake effects;Finite element method;Nonlinear control systems
Appears in Collections:ΑΡΘΡΑ-ΜΕΛΕΤΕΣ

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