Topological Optimization of the Double-Lap Adhesive Joint

The problem of optimal design of a symmetrical double-lap adhesive joint is considered. It is assumed that the main plate has a constant thickness, while the thickness of the patchs can vary along the length of the joint. The optimization problem is to find the optimal length of the joint and the optimal profile of the patches, which provide a minimum mass of the structure in the presence of strength constraints. The classical Goland-Reissner model was used to describe the stress state of the joint. The corresponding system of differential equations with variable coefficients is solved using the finite difference method. For the numerical solution of the optimization problem, a genetic optimization algorithm was used. One model problem are solved.