STABILITY OF THE FLYWHEEL ENGINE IN A CARDAN SUSPENSION

Authors

  • I.V. Tsidylo Subdivision "Burshtyn Professional College of Power Engineering of Ivano-Frankivsk National Technical University of Oil and Gas"
  • K.I. Tsidylo Ivano-Frankivsk National Technical University of Oil and Gas

DOI:

https://doi.org/10.31471/2304-7399-2022-17(64)-133-141

Keywords:

flywheel engine, cardan suspension, hybrid engine, vibration resistance, stability, process evolution, shock absorber, damping coefficient, nutation, precession, oscillators, dissipative terms, phase space.

Abstract

A mathematical model of a flywheel engine in a cardan suspension and also its motion stability research is offered. A mechanical system with an ecologically clean energy source in the form of a flywheel in a gimbal mounted on a vibrating base is under consideration. Such a model of mechanical systems occupies, in some sense, an intermediate place between a gyroscope and a flywheel that rotates in rigidly fixed supports.

Currently, we have extensive experience in researching the stability and oscillations of nonlinear systems described by nonlinear differential equations. However, the use of the mathematical theory of stability for specific problems continues to be a relevant task.

The problem of stability of the proposed mechanical system is considered using the second Lyapunov method, which is applied to definitly positive functions characterizing the slow evolution of the process.

The equations of motion were formulated and the influence of nonlinear terms in the equations of motion on stability was investigated.

The study of the stability of the mechanical system under initial disturbances is presented, as well as the conclusions of the system movement behavior are made.

References

Боголюбов И. Н., Митропольский H. H. Асимптотические методы в теории нелинейных колебаний. Москва : Физматгиз, 1958. 408 с.

Гулия Н. В. Маховичные двигатели. Москва : Машиностроение, 1986. 170 с.

Павловский М. А. Збруцкий А. В. Динамика роторных вибрационных гироскопов. Киев : Вища школа. 1984. 191 с.

Хрисанов М. И., Дзюба Г. Ю. К вопросу исследования гироскопических явлений и некоторых параметров колебаний карьерных автомобилей с инерционным аккумулятором // Автомобильный транспорт. Киев. Техника, 1983. № 20. С.116–122.

Коловский М. З. Нелинейная теория виброзащитных систем. Москва : Наука, 1966. 318 с.

Седов Л. И. Методы подобия и размерности в механике. Москва : Наука, 1977. 436 с.

Мартынюк А. А., Никитина Н. В. Об устойчивости в одном случае, близком к критическому // Прикл. механика. 1985. 31, № 2. с. 104–110.

Магнус К. Гироскоп. Теория и применения. Москва : Мир, 1974. 526 с.

Published

2022-11-22

How to Cite

Tsidylo, I., & Tsidylo, K. (2022). STABILITY OF THE FLYWHEEL ENGINE IN A CARDAN SUSPENSION. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY Number, (17(64), 133–141. https://doi.org/10.31471/2304-7399-2022-17(64)-133-141