Open AccessEffect of time delay on the generation of oscillation in a single degree-of-freedom mass-spring-damper system by nonlinear velocity feedback
Author(s) -
Gautam Kumar,
Anindya Malas
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1854/1/012005
Subject(s) - control theory (sociology) , limit cycle , nonlinear system , limit (mathematics) , describing function , oscillation (cell signaling) , instability , rayleigh scattering , vibration , physics , mathematics , mechanics , mathematical analysis , computer science , control (management) , quantum mechanics , artificial intelligence , biology , genetics
The present paper investigates the effect of time delay in a particular type of single degree-of-freedom self-excited oscillator. The self-excited vibration is generated in the system by using linear velocity feedback (to destabilize the static equilibrium of the system) with a nonlinear Rayleigh type feedback (to limit the growth of the instability into a stable limit cycle). The general method of describing function is employed to study the dynamics with the presence of time delay. Also, the analytical results are verified with the simulation result. Without time delay, the control law can generate a stable limit cycle with the proper choice of control parameters. However, the presence of time delay introduces a globally unstable limit cycle in the system with a stable one. Though the amplitude of the stable limit cycle dies down with the increase of time delay and finally vanishes by stabilizing the static equilibrium of the system. The effect of control parameters is also studied.