The boundary element formulation for multiparameter structural shape optimization

A problem of optimal shaping of a free and loaded boundary has been formulated in terms of the boundary element method. A maximal stiffness criterion together with the limitation of volume of a body has been used. The problem has been solved with the application of integral optimality conditions being defined on an optimal boundary. Discretization of a boundary and optimality conditions respectively, with the aid of boundary elements, leads to an iterative procedure, from which one can determine the shape parameters generating the position of the optimal boundary.