Studying the issues related to solving the problems of the movement of fluid in partially filled structures of various shapes has always been relevant.This is due, in particular, to the need to ensure the longitudinal and lateral stability of the movement of objects in which the liquid is transported. Contemporarymethods and research tools that allow describing the movement of liquid in a container are overly complex and require in-depth knowledgefrom a scientist. Therefore, development of a mathematical algorithm that would be simple and at the same time ensure sufficient accuracy in determiningthe oscillatory motion in a container is advisable. Each development of a new mathematical algorithm requires experimental research to verifyits adequacy. The purpose of this work is to confirm the feasibility of using the created mathematical apparatus for determining the main parameters offree vibrations depending on the level of liquid in a rectangular prismatic container. The experimental research methodology provides for checking theadequacy of the mathematical algorithms in determining the frequencies of free oscillations of liquid in a container by comparing the theoretical andexperimental values of the oscillation periods, as well as determining the damping decrement of oscillations for liquids of different viscosity. As a result,the adequacy of the formulas for determining the frequencies of free oscillations of liquid in a container is proved; the maximum error does notexceed 4.35%. The decrements of vibration damping are determined experimentally, as well as using theoretical models of the motion of viscous liquidin the so-called partial surface layers, for three liquids of different viscosity, namely, for water, for 20% sugar and water solution, and for vegetable oil.On the basis of experimental studies, the amplitudes and frequencies of forced vibrations of various types of liquids are determined by constructing anamplitude-frequency characteristic. It is shown by calculation how the damping decrement of the liquid affects the value of the horizontal displacementof the surface layer of the liquid in the tank during its transportation by a wheeled tractor.
Magneto-optical properties of easy-plane and easy-axis garnet ferrite films for eddy current testing
