On One Mechanical Model of Self-Organization of Nanoparticles

Based on the properties of block elements that imitate nanoparticles in contact with a multilayer base, a model of self-organization of such objects is built. It is assumed that the nanoparticles contact without friction with a deformable base that is in a state of vibration. To build a model in the article, for the first time, analytical relations are constructed that allow obtaining the parameters for the occurrence of high-frequency resonance for such a mechanical structure, or, what is the same, trap modes. Thanks to these relationships, based on the properties of the behavior of mechanical objects located on the surface of a deformable base under vibration conditions, a model of their self-organization is built. Self-organization consists in the desire, under certain mechanical and geometric parameters of a mechanical system, to unite surface objects. The constructed model allows its transfer to nanoparticles from multicomponent materials.