ON OPTIMAL LAYOUT OF LOCALLY ORTHOTROPIC MATERIAL IN CIRCULAR PLATES

Abstract

The paper is devoted to solving the problems of optimal design of the circular orthotropic plates, having extreme fundamental frequency of free vibrations. An angle of orthotropy, characterizing a way of the material layout, is assumed as a design variable. The fundamental relations, necessary for solving the problems of orientation design, are discussed. The computation results are described for the optimal projects of the circular plates with a boundary contour hinged or rigid. The computational results of one-parametric projects with a constant way of the material layout (independent of the radius) are also given for comparison.