Abstract. The problem of identification of a structural damage is considered. The identification of location and/or dimensions of a damaged area or local defects and inclusions is performed using the measurements of vibration frequency and eigenvalues of real structure and the corresponding finite element model. The proper distance norms between the measured and calculated structural response are introduced and minimized during the identification procedure.

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In this article two approaches to the design of reinforced composite flywheels are presented. The main goal of the optimization procedure is to maximize the accumulated kinetic energy of a flywheel. The first approach is based on a discrete model of reinforcement, causing the discontinuity of static fields along reinforcement and preserving the continuity of kinematic fields. In the second approach, the material of the reinforced flywheel is subjected to the homogenization procedure using the Halpin-Tsai assumption and then the continuity of both static and kinematic fields is preserved within flywheel domain. The evolutionary algorithm was used in both cases to determine the optimal shape of reinforcements, while the finite element method was applied in order to analyze the mechanical response of a flywheel.