Vol 62, No 6 (2017)

The theory of modification of surface Tamm states on fractal surfaces is developed, and manifestations of such phenomena are analyzed. The obtained results suggest that the fractality of free and inner surfaces of nanoobjects affects their electronic spectrum, which may lead to modification of the physical and chemical properties of nanostructures.

An original microstrip resonator design with a strip conductor split by a slot at one of its ends is investigated. It is demonstrated that at the optimal slot sizes, when the eigenfrequency of the second oscillation mode hits the center between the first and third oscillation modes, the resonator can work as a thirdorder bandpass filter. The structure formed from only two such resonators electromagnetically coupled by split conductor sections is a miniature six-order wideband filter with high selectivity. The test prototype of the filter with a central passband frequency of ~1.2 GHz and a passband width of ~0.75 GHz fabricated on a substrate ~(45 × 11 × 1) mm³ in size with a permittivity of 80 is characterized by minimum loss in a passband of 0.5 dB. The parametric synthesis of the filter structure was performed using electrodynamic analysis of the 3D model. The measured characteristics of the test prototype agree well with the calculated data.

The equation of state of model gases is considered for describing the experimental pressure dependence of the permittivity of argon. It is shown that the generalized Van der Waals−Berthelot equation describes the pressure dependence of permittivity of argon with a good accuracy.

The vector case of the static problem for semi-infinite lithospheric plates with rectilinear boundaries parallel to each other in two states is considered. In the first case, the distance between the plate ends is different from zero; in the second case, it is zero although the plates do not interact with each other. It is assumed that the horizontal actions on the plates (which, as is well known, move very slowly) are so strong that the vertical components of contact stresses can be neglected. In this work, it is shown that, even in this case, contact stresses at the edges of approaching plates acquire singular concentrations capable of leading to starting earthquakes. It has been shown that the theoretical calculation of the consequences of such earthquakes on the Earth’s surface yields a coincidence with their real consequences.

It is shown that the incidence angle affects only weakly the character of the frequency dependence of the reflection and transmission coefficients in the frequency range of the “acoustic opacity band” upon transmission of an acoustic signal through a multilayer barrier containing a thin bubble-liquid layer. However, the acoustic-wave incidence under an angle results in the fact that part of the energy is distributed along the barrier and it affects the amplitude of the signal transmitted through the barrier.

Based on the model of a viscoelastic rigid body for the deformable Earth, we investigate the behavior of the main component of the perturbed Earth pole oscillation process, the Chandler wobble. An amplitude- frequency analysis of the perturbed Chandler wobble of the Earth pole due to the precessional motion of the lunar orbit is provided. The parameters of the complex dynamical process that describes the mutual orientation of the Earth’s instantaneous rotation axis, the axis of its figure, and its angular momentum vector are studied qualitatively. Using a numerical-analytical approach, we consider the possibilities for identifying the Chandler wobble parameters and fitting the developed refined theoretical model to the real trajectory measurements of the Earth pole.

A series of problems concerning interaction between an ice field and a vertically plane construction has been solved numerically using a computing system based on the discontinuous Galerkin method. The results of calculations have been processed, and the maximum global load upon the construction at different physicomechanical parameters of ice has been analyzed based on these data. The chosen parameters were Young’s modulus, the yield stress, tensile stress, and plastic failure strain.