velocity

Modeling the dynamics of a capsule-type locomotion system actuated by an imbalanced rotor under the action of dry anisotropic friction

Mobile robotic systems with vibratory drives are becoming increasingly popular in various fields of industry and medicine.  This article is dedicated to the study of the dynamic behavior of a mobile capsule-type robot equipped with an imbalanced vibration exciter.  The research methodology involves constructing a simplified dynamic diagram of the robot's mechanical system, using Lagrange's equations of the second kind to describe its motion, and solving the obtained system of differential equations using numerical methods integrated into the Wolfram Mathematica software

MATHEMATICAL MODEL OF THE BOUNDARY LAYER OF AIRFLOW OVER A FLAT SURFACE

In fluid and gas mechanics, a subject that has been the focus of considerable scholarly attention is the modeling of flow phenomena on streamlined surfaces. These surfaces, which are typically installed in a parallel orientation to the direction of the free stream, play a pivotal role in the study of fluid dynamics. The boundary layer theory represents a pivotal branch of fluid dynamics, given the airflow plate is characterized by a high Reynolds number of airflow velocity entering the plate's plane surface contexts.

Адаптивна фільтрація параметрів руху об‘єкта у горизонтальній площині

Реалізована процедура використання алгоритму класичного фільтра Калмана для оцінки параметрів руху об’єкта, що маневрує. Застосування фільтра Калмана мотивовано необхідністю мінімізувати дисперсію оцінки вектора випадкового процесу. Результати оцінки параметрів руху обробляють згладжуючим алгоритмом Рауч–Тюнга– Штрібеля також з метою мінімізації дисперсії. Алгоритми Калмана та Рауча–Тюнга– Штрібеля можна застосовувати для використання в оцінці параметрів руху автомобіля, повітряного судна, бойового снаряду.

The connection of chemical composition and physical properties in mountain rocks of the Earth's crust and mantle and their dynamic changes under different thermobaric conditions

Determining the physical parameters of geomaterials under high temperature and pressure conditions is necessary in connection with the fundamental issues of geology and geophysics. It is also aimed at solving applied problems, such as establishing relationships between physical parameters and chemical components of rocks under the earthly conditions of temperature and pressure.

Elastic moduli of spodumene crystal at pressures up to 2,0 Gpa

The velocities of longitudinal and transverse waves in the six inequivalent crystallographic directions and also the density for spodumene crystal was studied by ultrasonic impulse method in a modified solid-phase installation of high quasihydrostatic pressure up to 2.0 GPa. For samples of spodumene crystal which are oriented with crystallophysical axes the two velocities of transverse waves was obtained during their propagation along each of directions (for different directions of displacement in the wave).

On peculiarities of average velocity distribution in thrust and underthrust deposits within the Krukenytska subzone of Bilche-Volytska zone

Information about the position, shape, composition of sediments thrusts are also needed to improve the accuracy of structural theories in the interpretation of seismic data. Due to significant differences in the rates Stebnytska (thrust) and the Sarmatian-Badenian (underthrust) deposits is large, with a variable gradient of the horizontal velocity in the medium, and the boundary thrust and underthrust sediments should consider the effect of refracted seismic waves. 

Theoretical Analysis of Granules Movement Hydrodynamics in the Vortex Granulators of Ammonium Nitrate and Carbamide Production

Mathematical calculations for determining the hydrodynamic characteristics of granules movement in the workspace of the vortex granulator, which is the main ultimate process of chemical technology and forms properties of ordinary and porous ammonium nitrate and carbamide, are presented in this paper. Components of a granule velocity and the granulator design impact on them are analytically determined. Comparison of theoretical and experimental studies is performed.