Currently, loosening and separating machines that combine the operations of crumbling and separating of soil according to the treated layer depth have come to the forefront. Interaction of the rotor blade of these machines with the soil comprises three stages: soil core formation; steady movement; and dumping of soil from the separating grid. The article determined the direction and magnitude of soil displacement, parameters and shape of the furrow formed after the ripper passage. Based on theoretical research, a mathematical model of the interaction of working bodies with the soil was developed. The initial data were obtained experimentally, and the model was justified. As a result, it was found that the supplied soil layer thickness and the fracture angle of ripper have the greatest influence on the transporting capacity of rotor ripper. Reducing the rotor blade entry angle into the soil from 45° to 30° made it possible to raise the second soil feed of the loosening and separating machine by more than 40 times. The width of rotor ripper practically does not affect the transporting capacity. Changing the angle of ripper entry into the soil allowed obtaining of the required transporting capacity of ripping and separating machine without changing the rotor design. Practical significance of the study lies in the possibility of increasing the work productivity without increasing its energy indicators.

In this article an analytical solution of the problem of scattering of electromagnetic waves on bi-isotropic spherical shell has been presented. Secondary electromagnetic fields are introduced as a superposition of spherical vector wave functions. The solution of the boundary problem is reduced to solving a system of linear algebraic equations for the coefficients which are included in the presentation of the secondary fields. The formula to calculate the directional diagram of electric field in the far field and numerical results for different values of parameters have been obtained. The results may find practical application in the development and design of electromagnetic screens.

In the paper the results of the analysis of propagation of the low-frequency electromagnetic waves across the multilayer cylindrical shell are presented. The mathematical model of non-local bilateral boundary conditions of multilayer cylindrical shells was created. These non-local bilateral boundary conditions describe the penetration of low-frequency electromagnetic waves across layers of the shell. The method of transformation of the boundary problem to the integral Fredholm equations of the second kind was developed. Furthermore, the value of efficiency coefficient of the shell was calculated. Analytical transformations are based on the Bessel functions.