Topological optimization of a symmetrical adhesive joint. Island model of genetic algorithm

Modern additive technologies make it possible to create structures of variable thickness and any shape. Thus, designers face problems optimal design a new type, these are topological optimization. Such determine the form structure or distribution material over structure. As rule, criterion optimality is mass However, must retain its bearing capacity under certain load. The symmetric two-shear adhesive joint main plate with two overlays same shape on both sides object study in this article. goal was thicknesses restrictions. restriction strength Furthermore, additional restrictions imposed minimum maximum overlay. Therefore, solution problem presented set following tasks: building mathematical model joint, numerical primal using finite difference method, genetic optimization algorithm. In article, improve convergence algorithm proposed use an island that consists several populations. feature lies fact one "islands" mutations occur more frequently higher dispersion than other "islands". On hand, decision ensures high rate evolutionary selection, stability results achieved. Several modeling solved research include following: nonlinear dependence overlay length applied load determined; overlay, which cause appearance “plateau” at edge equal allowable were defined.