AbstractThis paper points out how much useful vibration can be extracted from a base-excited oscillator, which is controlled by the on-off electrical damping. We study the class of on-off electrical damping controller, which switches the damping level from high to low and back at fixed times every quarter of period. The problem reduces to the maximization of a single-variable function. This result can open the new direction to amplify the useful vibration using controllable dampings.
W.-C. Tai and L. Zuo. On optimization of energy harvesting from base-excited vibration. Journal of Sound and Vibration, 411, (2017), pp. 47–59. https://doi.org/10.1016/j.jsv.2017.08.032.
F. Casciati, G. Magonette, and F. Marazzi. Technology of semiactive devices and applications in vibration mitigation. JohnWiley & Sons, (2006).
S. M. Savaresi, C. Poussot-Vassal, C. Spelta, O. Sename, and L. Dugard. Semi-active suspension control design for vehicles. Butterworth-Heinemann (UK), (2010).
E. Lefeuvre, A. Badel, C. Richard, and D. Guyomar. Piezoelectric energy harvesting device optimization by synchronous electric charge extraction. Journal of Intelligent Material Systems and Structures, 16, (10), (2005), pp. 865–876. https://doi.org/10.1177/1045389X05056859.
D. Guyomar, A. Badel, E. Lefeuvre, and C. Richard. Toward energy harvesting using active materials and conversion improvement by nonlinear processing. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 52, (4), (2005), pp. 584–595. https://doi.org/10.1109/tuffc.2005.1428041.
H. Ji, J. Qiu, P. Xia, and D. Inman. Analysis of energy conversion in switched-voltage control with arbitrary switching frequency. Sensors and Actuators A: Physical, 174, (2012), pp. 162–172. https://doi.org/10.1016/j.sna.2011.11.004.
F. Di Monaco, M. G. Tehrani, S. J. Elliott, E. Bonisoli, and S. Tornincasa. Energy harvesting using semi-active control. Journal of Sound and Vibration, 332, (23), (2013), pp. 6033–6043. https://doi.org/10.1016/j.jsv.2013.06.005.
G. Caruso, S. Galeani, and L. Menini. Semi-active damping and energy harvesting using an electromagnetic transducer. Journal of Vibration and Control, 24, (12), (2018), pp. 2542–2561. https://doi.org/10.1177/1077546316688993.
J. N. Potter, S. A. Neild, and D. J. Wagg. Generalisation and optimisation of semi-active, on–off switching controllers for single degree-of-freedom systems. Journal of Sound and Vibration, 329, (13), (2010), pp. 2450–2462. https://doi.org/10.1016/j.jsv.2009.12.011.
L. D. Viet and P. T. T. My. Theoretical upper and lower bounds of the performance of an on-off damping dynamic vibration absorber attached to a multi-degree-of-freedom system. Journal of Vibration and Acoustics, 141, (3), (2019). https://doi.org/10.1115/1.4042278.
L. D. Viet and P. T. T. My. Lower bound of performance index of an on–off damper in a state-space system. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233, (12), (2019), pp. 4288–4298. https://doi.org/10.1177/0954406218819028.
L. D. Viet and N. T. Kien. Lower bound of performance index of anti-sway control of a pendulum using on-off damping radial spring-damper. Vietnam Journal of Mechanics, 41, (2), (2019), pp. 193–201. https://doi.org/10.15625/0866-7136/13625.