The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2016
Session ID : 124
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Vibration Control using Fractional Derivative Feedback
(4th Report: Active Wave Control of a Thin Beam)
Masaharu KURODAHiroki MATSUBUCHINaoki YOSHITANI
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Abstract

Achieving active wave control is both an old and a new problem. A vibration suppression problem for a thin cantilevered beam is presented as an example for discussion. Results clarified that the active wave controller includes √s and √s terms. Those terms are realized as a 1/2-order derivative and 3/2-order derivative using fractional calculus. The active wave controller is realized as connected using fractional calculus, which is shown to be an important step for analysis. Results show that the control effect is extremely high when both a shear-force actuator and a bending-moment actuator are applied. However, the control effect is degraded considerably when only the bending-moment actuator is used because it is not called perfect active-wave-control anymore. As a subject for future work, the realization of the perfect active wave control supplemented with a shear-force actuator can be pointed out. A noncontact-type shear-force actuator using an electromagnet and so on will be required.

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© 2016 The Japan Society of Mechanical Engineers
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