that as a result of applying this method the scalar problem of waves diffraction for a
semi-infinite circular slotted cone with the defined mixed (impedance) boundary
conditions on the surface is equivalent to the singular integrated equation with the
Cauchy integral kernel for the function containing Fourier coefficients of the required
scalar potential.
The sixth section “THEORETICAL ASPECTS OF PHYSICAL IMAGES
FORMATION IN SCANNING MICROWAVE MICROSCOPY”. In the paper, the
methods of constructing images in SMM are numerically studied, providing
visualization of profiles of the distribution of physical parameters of an object in the
near-surface region. It is shown that the image of the fundamental signals of the change
in the resonant frequency and quality factor of the resonator scanning probe does not
always correspond to the profile of the indicated parameters. To ensure this
correspondence, it is proposed to solve an inverse measurement problem. A different
ways of this solution are reviewed. It is concluded that the best way is to reconstruct
the image of measuring signals on the basis of an analytical approximation of the
corresponding conversion characteristics of the resonator measuring transducers and
the formation of an optimal signal packet.
The seventh section “THE MODELING OF OSCILLATION SUPPRESSION
AT HYSTERESIS DAMPING”. The results of oscillation suppression modeling of the
impact device in hysteresis damping of its oscillation which appear as the result of
recoil reaction are given in the article. On condition of such damping, the damper
stiffness varies depending on the direction of motion. We consider a power
characteristic of this type, which is generated by a damper with the use of a new
working medium - a heterogeneous lyophobic system (HLS) and all these realize a
system with an engineering hysteresis. An initial-value problem, for which an
analytical solution is found, is formulated for a single-mass system with a simplified
power characteristic. An initial-boundary value problem is formulated for the
instrument of the impact device, as a shank, which is supported by a damper with a
HLS. This initial value problem was investigated by the finite difference method.
The eighth section “SCIENTIFIC AND THEORETICAL DEVELOPMENT OF
STABILIZATION SYSTEMS FOR GRAVIMETRIC SYSTEMS AND MODERN
SENSING
ELEMENTS
FOR
MEASURING
GRAVITATIONAL
ACCELERATION”. In the article expediency of using aviation gravimetric systems
for gravimetric measurements and receiving information about the Earth's gravitational
field is proved. An analysis of existing gravimeters of aviation gravimetric systems is
done, identified their strengths and weaknesses.
Modern perspective developments in
the area of designing a new type of aviation gravimeters with higher accuracy and
speed of the known are considered. For a given specific force sensor uncertainty, the
minimum system uncertainty results when the sensor is physically stabilized along the
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