Methods of optimal synthesis of layered heterogeneous structures with given complex of the properties at the action of elastic waves

The problem of optimal synthesis of layered heterogeneous composite systems at the action elastic waves is studied. The problems of optimal synthesis of heterogeneous structures with given complex of properties at the action of elastic waves are formulated in variational form. The varied parameters are physical and geometrical characteristics of a construction. The necessary conditions of optimality are designed. On the basis of constructive analysis of necessary conditions of optimality qualitative regularities of structure of optimal heterogeneous constructions are established. The fixed qualitative regularities allow to perform effective narrowing of a set of admissible variants and present a basis for the development of effective methods of optimal synthesis.