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CONTROL OF A DOUBLE IMPACTING MECHANICAL OSCILLATOR USING DISPLACEMENT FEEDBACK

E. GUTIÉRREZ

European Commission Joint Research Centre, Ispra, Italy

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and

D. K. ARROWSMITH

Mathematics Research Centre, School of Mathematical Sciences, Queen Mary, University of London, London E1 4NS, UK

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https://doi.org/10.1142/S021812740401120XCited by:14 (Source: Crossref)

Abstract

A model which allows a double impacting regime for a particle undergoing simple harmonic motion is considered in some detail. The behavior of the particle in the weak spring limit is considered. Symmetries of the motion are found and the extent of the resonant dynamical behavior is considered. Control equations are developed and strategies are described for both the preservation and the annihilation of experimental and analytical resonant periodic orbits.

Keywords:

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