Contact interaction plates, reinforced by ribs, with gaps under the influence of white noise

We have investigated the contacting interaction of a sandwich structure in the form of plates and beams with small gaps between them. Such systems are integral elements of modern devices. The created mathematical model is based on the following hypothesis: the system is a multi-layer structure; the materials are isotropic. To solve the problem we used the finite difference method with approximation 0 (h2), 0 (h4) and Bubnov-Galerkin method in higher approximations of spatial coordinates, as well as the Runge-Kutta 0 (h4), 0 (h6), 0 (h8) time. In solving problems associated with random variations, it is necessary to solve the challenge of an error, so you need to use different numerical methods to validate the results in order to distinguish the chaos of the numerical error. For the analysis of chaotic dynamics we have applied all methods of qualitative analysis. We have investigated the spatiotemporal chaos based on wavelet analysis. We have studied the effect of white noise in the contact interaction of elements of the multilayer structure. Also, the analysis of the complex vibrations of plates and beams in different intensities depending on the type of noise and load has been made. It was found that by using an external additive white noise, it became possible to control chaotic oscillations and transfer the system from a chaotic state to a harmonious one and enable or disable the contact interaction.