کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759298 896471 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Parametric resonance in the Rayleigh–Duffing oscillator with time-delayed feedback
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Parametric resonance in the Rayleigh–Duffing oscillator with time-delayed feedback
چکیده انگلیسی

We investigate the principal parametric resonance of a Rayleigh–Duffing oscillator with time-delayed feedback position and linear velocity terms. Using the asymptotic perturbation method, we obtain two slow flow equations on the amplitude and phase of the oscillator. We study the effects of the frequency detuning, the deterministic amplitude, and the time-delay on the dynamical behaviors, such as stability and bifurcation associated with the principal parametric resonance. Moreover, the appropriate choice of the feedback gain and the time-delay is discussed from the viewpoint of vibration control. It is found that the appropriate choice of the time-delay can broaden the stable region of the non-trivial steady-state solutions and enhance the control performance. Theoretical stability analysis is verified through a numerical simulation.


► Delayed feedback effects in the response and stability are analyzed.
► The domain where the amplitude vibration is efficient is found.
► Domain of reducing amplitude is efficient when the velocity gain is greater than the position one.
► Stable domain is important in the case where control gain position is greater than velocity one.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 11, November 2012, Pages 4485–4493
نویسندگان
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