Abstract
The problem of optimizing the shape of a rod made of a non-uniformly aging viscoelastic material and reinforced by an elastic material is considered. Geometrical and integral constraints are imposed on the area of cross-section of the rod. The optimum shape is selected to minimize the maximum deflection of the rod in a fixed time interval. An approximate method of optimizing the shape is proposed and justified in the case of slight creep of the material. Results of numerical calculations are presented.
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