THE GAME APPROACH TO SOLUTION OF AN IMPACTOR SHAPE AND LAYERED STRUCTURE MEDIUM OPTIMIZATION PROBLEM FOR HIGH SPEED PERFORATION
The questions of the shape optimization of an axisymmetric rigid impactor and structure optimization of layered perforated plates are studied on the base of the Nash game approach for layered plates made on the given set of materials. As a criterion of the multipurpose optimization problem it is chosen the ballistic limit velocity under additional constraints on the impactor mass and the layered shield mass. The process of penetration of the rigid body into an elastic-plastic medium is modelled by the application of the two parts representation for the resistance force. It is proposed and realized the solution algorithm of the conflict game problem: the optimal shape impactor against the optimal structure layered shield. It is considered the case when the impactor mass is given and does not depend on its volume and also the case with the constraint on the impactor mass (volume). With the application of an evolution numerical method (genetic algorithm) the optimal shapes of penetrating bodied and corresponding optimal shield structures are found and analyzed for all cases.