TY - JOUR AU - Zanette, Damián H. PY - 2017/03/30 Y2 - 2024/03/29 TI - Self-sustained oscillations with delayed velocity feedback JF - Papers in Physics JA - Pap. Phys. VL - 9 IS - 0 SE - Articles DO - 10.4279/pip.090003 UR - https://www.papersinphysics.org/papersinphysics/article/view/380 SP - 090003 AB - <p>We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanomechanical time-keeping devices, where periodic motion is sustained by a feedback force proportional to the oscillation velocity. &nbsp;Specifically, we focus our attention on the effect of a time delay in the feedback loop, assumed to originate in the electric circuit that creates and injects the self-sustaining force. Stationary oscillating solutions to the equation of motion, whose stability is insured by the crucial role of nonlinearity, &nbsp;are analytically obtained through suitable approximations. We show that a delay within the order of the oscillation period can suppress self-sustained oscillations. Numerical solutions are used to validate the analytical approximations.</p><p><strong>Received:</strong> 6 February 2017,&nbsp; <strong>Accepted:</strong> 8 March 2017;&nbsp;<strong>Edited by:</strong> A. Martí;&nbsp;<strong>Reviewed by:</strong> C. Masoller, Universitat Politécnica de Catalunya, Barcelona, Spain;&nbsp;<strong>DOI:</strong> http://dx.doi.org/10.4279/PIP.090003</p><p><strong>Cite as:</strong> D. H. Zanette, Papers in Physics 9, 090003 (2017)</p><p>This paper, by <a href="http://dx.doi.org/10.4279/PIP.090003" rel="cc:attributionURL">D. H. Zanette</a>, is licensed under the <a href="http://creativecommons.org/licenses/by/3.0/" rel="license">Creative Commons Attribution License 3.0</a>.</p><p>&nbsp;</p><p>&nbsp;</p> ER -