caa a22 4500 445361123 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9793-4 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9793-4 Maccari Attilio Via Alfredo Casella 3, 00013, Mentana, Rome, Italy aut Vibration control by nonlocal feedback and jerk dynamics [Elektronische Daten] [Attilio Maccari] Jerk dynamics is used for a new method for the suppression of self-excited vibrations in nonlinear oscillators. Two cases are considered, the van der Pol equation and nonlinear oscillator with quadratic and cubic nonlinearities. A nonlocal control force is introduced in such a way to obtain a third order nonlinear differential equation (jerk dynamics). Using the asymptotic perturbation method, two slow flow equations on the amplitude and phase of the response are obtained, and subsequently the performance of the control strategy is investigated. The feedback gains are connected with the stability and response of the system under control. Uncontrolled and controlled systems are compared and the appropriate choices for the feedback gains are found in order to reduce the amplitude peak of the self-excitations. Numerical simulation confirms the validity of the new method. Springer Science+Business Media B.V., 2010 Van der Pol equation nationallicence Nonlocal force nationallicence Nonlinear oscillator nationallicence Active control nationallicence Jerk dynamics nationallicence Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 159-169 0924-090X 63:1-2<159 2011 63 11071 https://doi.org/10.1007/s11071-010-9793-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9793-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Maccari Attilio Via Alfredo Casella 3, 00013, Mentana, Rome, Italy aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 159-169 0924-090X 63:1-2<159 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer