Resonances and Synchronization in Two Coupled Oscillators with Stick-Slip Vibrations and Spring Pendulums
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Дата
2016
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
NTU "KhPI"
Анотація
We study the dynamical behavior of a system of two coupled mechanical oscillators with spring pendulums and
driven by a stick-slip induced vibrations. Each of the oscillator consists of the body placed onto a moving
belt/foundation, mechanical coupling associated with the body load pressed the belt depending on the body
movement as well as suspended spring pendulum. In addition, the influence of the presence of additional
electric/electromagnetic forces acting on the pendulums are analyzed. Different kinds of resonance behavior
can be found in the studied system, even if it is simplified to a single degree-of-freedom system. As a result, due
to many degrees-of-freedom and strong nonlinearity and discontinuity of the considered system, novel
nonlinear dynamical phenomena occur, both near and beyond to the resonance. The motion analysis for
different cases is carried out by employing standard numerical methods dedicated for nonlinear systems,
including both qualitative and quantitative methods, as well as original animations of the system dynamics
created in Mathematica. Understanding the role of coupling, transition between fixed points and energy
transition in the considered system can be potentially applied in other similar systems, especially in real
electro-mechanical systems, power system or in structural engineering.
Опис
Ключові слова
spring pendulum, swimming pendulum, stick-slip vibrations
Бібліографічний опис
Grzelczyk D. Resonances and Synchronization in Two C oupled
O scillators with Stick-Slip Vibrations and Spring Pendulums / D. Grzelczyk, J. Awrejcewicz // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 100-107.