2010 | OriginalPaper | Buchkapitel
Tracking of Stresses: A Further Step Towards Ageless Structures
verfasst von : Hans Irschik, Michael Krommer, Markus Gusenbauer
Erschienen in: Mechanics and Model-Based Control of Smart Materials and Structures
Verlag: Springer Vienna
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The present paper deals with the derivation of distributions of smart actuators, which enforce a structure to follow a desired stress trajectory everywhere and at all times. A particular case is the complete cancellation of force-induced stresses, a topic of particular interest in the context of ageless structures. Our formulation is derived within the framework of the linear dynamic theory of elasticity, and is based on the characterization of the initial boundary value problem of elasticity in terms of stresses. Smart actuation is represented by actuation stresses. We derive conditions, under which the desired stresses can be tracked exactly by the actuation stresses, and we present an easy to solve initial value problem for computing the actuation stresses