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31 May 1996 Mathematical modeling of smart structures
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This paper is concerned with the basic mathematical aspects of a newly suggested theory of smart composite structures. The governing equations describing the behavior of a smart composite structure incorporating sensors and actuators are derived. The basic optimization problems in the theory of smart structures are formulated. The discussion on some relevant aspects of the optimal control theory, and on similarities and discrepancies between the theory of smart structures and theory of optimal control is provided. The basic optimization problems for the smart structures are illustrated by the applied examples of practical interest. In these examples, two major sources of control are emphasized, namely, residual strains and material properties.
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Alexander L. Kalamkarov and Aleksey D. Drozdov "Mathematical modeling of smart structures", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996);

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