Abstract
In this paper, first, we consider corrugated rods, i.e., those in which the values of amplitude and step corrugations are varied continuously as a function of position along a central axis direction to achieve a required function. The latter corrugation type is called the functionally gradient corrugation (FGC). State equations obtained via the homogenization procedure are projected onto the central direction. Second, we study problems regarding the optimization of the FGC rods with variable amplitude and variable step of corrugation. In result of our approach, the optimal profiles of corrugated rods are obtained guaranteeing the largest stiffness of the FGC rods regarding a longitudinal deformation. We have applied the most important, from an engineering point of view, constraints of keeping constant length of the curvilinear rod axis and both linear dimension (projection onto a straight line axis of symmetry) and number of waves of corrugations.
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