Eigenfrequency optimized 3D continua, with possibility for cavities

The optimization method is based on a derived optimality criterion, and as such the maximization problem change to a problem of determining a design with uniform values of this criterion. Nonlinear stiffness interpolation may be a physical reality. A two parameter interpolation function is incorporated analytical, also in the sensitivity analysis and the optimality criterion, but without focusing on 1-0 optimal solutions. Two cases of boundary conditions, two cases of total amount of material, and cases of linear and nonlinear stiffness interpolation are studied.