Nonlinear oscillations of the torsion oscillator with impact masses
Abstract
This paper deals with nonlinear oscillations of the torsion oscillator with reciprocal rigidly connected impact masses. It is assumed that two impulses occur at one interval of the disturbing torsion moment. The asymptotic Krilow-Bogolyubov-Mitropolyskiy method is applied, along with the stereomechanical impact theory for the inclusion of impact conditions, to the determination of the primary approximation of the torsion system nonlinear oscillations. Phase trajectories are drawn on the basis of the numerical results. The mathematical model of the vibroimpact system is written in the form of an autonomous nonlinear system of the first order differential equations. The integral curves and the phase trajectories are obtained by means of the Runge-Kutta method, of the Turbo-Pascal program and with the aid of the computer graphics.
Keywords:
Vibroimpact processes / Torsion oscillator / Stationary vibroimpact representational points / Phase trajectories / Nonlinear oscillator / Krilov-Boogolyubov-Mitropolyskiy method / Impact conditionsSource:
Acta Technica CSAV (Ceskoslovensk Akademie Ved), 1997, 42, 2, 213-226Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Mitić, Saša AU - Hedrih, K. PY - 1997 UR - https://machinery.mas.bg.ac.rs/handle/123456789/144 AB - This paper deals with nonlinear oscillations of the torsion oscillator with reciprocal rigidly connected impact masses. It is assumed that two impulses occur at one interval of the disturbing torsion moment. The asymptotic Krilow-Bogolyubov-Mitropolyskiy method is applied, along with the stereomechanical impact theory for the inclusion of impact conditions, to the determination of the primary approximation of the torsion system nonlinear oscillations. Phase trajectories are drawn on the basis of the numerical results. The mathematical model of the vibroimpact system is written in the form of an autonomous nonlinear system of the first order differential equations. The integral curves and the phase trajectories are obtained by means of the Runge-Kutta method, of the Turbo-Pascal program and with the aid of the computer graphics. T2 - Acta Technica CSAV (Ceskoslovensk Akademie Ved) T1 - Nonlinear oscillations of the torsion oscillator with impact masses EP - 226 IS - 2 SP - 213 VL - 42 UR - https://hdl.handle.net/21.15107/rcub_machinery_144 ER -
@article{ author = "Mitić, Saša and Hedrih, K.", year = "1997", abstract = "This paper deals with nonlinear oscillations of the torsion oscillator with reciprocal rigidly connected impact masses. It is assumed that two impulses occur at one interval of the disturbing torsion moment. The asymptotic Krilow-Bogolyubov-Mitropolyskiy method is applied, along with the stereomechanical impact theory for the inclusion of impact conditions, to the determination of the primary approximation of the torsion system nonlinear oscillations. Phase trajectories are drawn on the basis of the numerical results. The mathematical model of the vibroimpact system is written in the form of an autonomous nonlinear system of the first order differential equations. The integral curves and the phase trajectories are obtained by means of the Runge-Kutta method, of the Turbo-Pascal program and with the aid of the computer graphics.", journal = "Acta Technica CSAV (Ceskoslovensk Akademie Ved)", title = "Nonlinear oscillations of the torsion oscillator with impact masses", pages = "226-213", number = "2", volume = "42", url = "https://hdl.handle.net/21.15107/rcub_machinery_144" }
Mitić, S.,& Hedrih, K.. (1997). Nonlinear oscillations of the torsion oscillator with impact masses. in Acta Technica CSAV (Ceskoslovensk Akademie Ved), 42(2), 213-226. https://hdl.handle.net/21.15107/rcub_machinery_144
Mitić S, Hedrih K. Nonlinear oscillations of the torsion oscillator with impact masses. in Acta Technica CSAV (Ceskoslovensk Akademie Ved). 1997;42(2):213-226. https://hdl.handle.net/21.15107/rcub_machinery_144 .
Mitić, Saša, Hedrih, K., "Nonlinear oscillations of the torsion oscillator with impact masses" in Acta Technica CSAV (Ceskoslovensk Akademie Ved), 42, no. 2 (1997):213-226, https://hdl.handle.net/21.15107/rcub_machinery_144 .