Qualitative Analysis of the Behavior of One Mechanical System
A. Y. Murashko1, V. B. Orlov2, A. V. Zubov3, L. A. Bondarenko4, V. A. Petrova5
1A.Y. Murashko, St. Petersburg State University, Saint Petersburg, Russia.
2V.B. Orlov, St. Petersburg State University, Saint Petersburg, Russia.
3A.V. Zubov, St. Petersburg State University, Saint Petersburg, Russia.
4L.A. Bondarenko, St. Petersburg State University, Saint Petersburg, Russia.
5V.A. Petrova, St. Petersburg State University, Saint Petersburg, Russia
Manuscript received on 05 May 2019 | Revised Manuscript received on 12 May 2019 | Manuscript published on 30 May 2019 | PP: 553-658 | Volume-8 Issue-7, May 2019 | Retrieval Number: G5502058719/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The study of oscillations occurring in mechanic systems is not only urgent but also vital issue, especially if the mechanic system operates under extreme conditions. A certain mechanical system is analyzed by designing of computations which account for possible variations of solution properties upon equivalent transformations. Generally, the subject matter of research upon such approach is comprised of ideal sign models of dynamic systems presented in the form of mathematical equations (sets of equations) relating physical variables describing qualitatively state of these systems. The research procedure is based on consideration of models of actual dynamic systems in various forms of recording of the relevant equations and determination of parameters, the minor variations of which can lead to variation of behavior quality of dynamic system. The main aim of this article is detection of parameters of the considered dynamic system which in the case of their minor variations can lead to loss of stability, overshoot or overcontrol of this system upon its operation. The obtained conclusions confirm once more on the basis of actual example the necessity to analyze model types of dynamic systems already at the stage of their mathematical simulation.
Keyword: Model, engineering analysis, computations, stability, control, stabilization, ill-posed systems.
Scope of the Article: Mechanical Design