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Fractional differentiation in passive vibration control. (English) Zbl 1019.74028

Summary: Using a single-degree-of-freedom model to illustrate the concept of vibration isolation, we propose a method to transform the design for suspension into a design for robust controller. Fractional differentiation is used to model viscoelastic behaviour of suspension. The use of fractional differentiation not only permits optimisation of just four suspension parameters, showing the ‘compactness’ of the fractional derivative operator, but also leads to robustness of suspension performance to uncertainty of the sprung mass. As an example, an engine suspension is studied.

MSC:

74M05 Control, switches and devices (“smart materials”) in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74D05 Linear constitutive equations for materials with memory
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