A Simple Boundary Element Formulation for the Shape Optimization of Planar Structures

摘要

The Boundary Element Method (BEM) is applied to simple problems of shape optimization of 2D continuous structural systems. The proposed formulation is based on the BEM and on deterministic optimization methods of zero and first order. Optimal characterization for the geometric configuration of 2D structure is obtained with the minimization of an objective function. Such function is written in terms of referential values (stress, strain, or deformation values) located at few points inside or at the boundary of the structure. The use of the BEM for shape optimization of continuous structures is attractive compared to other methods that discretize the whole continuous. Several examples of the application of the proposed formulation are presented.