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Control of a Parametrically Excited Flexible Beam Undergoing Rotation and Impacts

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Abstract

The linear control of a parametrically excited impacting flexible link in rotational motion is considered. The equation of motion for such a system contains time-periodic coefficients. To suppress the vibrations resulting after impact with an external rigid body, a linear controller is designed via Lyapunov–Floquet transformation. In this approach, the equations of motion with time-periodic coefficients are transformed into a time-invariant form suitable for the application of standard time-invariant controller design techniques. The momentum balance method and an empirical coefficient of restitution is used to model the collision between the two bodies.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Auburn University, Auburn, AL, 36849, U.S.A

    Dan B. Marghitu, S.C. Sinha & Cristan Diaconescu

Authors
  1. Dan B. Marghitu
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  2. S.C. Sinha
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  3. Cristan Diaconescu
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Marghitu, D.B., Sinha, S. & Diaconescu, C. Control of a Parametrically Excited Flexible Beam Undergoing Rotation and Impacts. Multibody System Dynamics 3, 47–63 (1999). https://doi.org/10.1023/A:1009716921661

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  • DOI: https://doi.org/10.1023/A:1009716921661

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