Optimal design of a circular corrugated diaphragm using the homogenization approach

Axisymmetric deformation of a circular corrugated diaphragm is defined by the equations formulated in terms of projections of displacements on the axes of the principal plane equidistant from the tops of corrugations. The optimal design problem is considered basing on the homogenization of these equations. As a result, a diaphragm consisting of a flat central part and a corrugated part with variable amplitude is obtained.