Modeling and control of hybrid beam systems with rotating tip component

David L. Russell

doi:10.3934/eect.2014.3.305

Article Contents

2014, Volume 3, Issue 2: 305-329. Doi: 10.3934/eect.2014.3.305

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Modeling and control of hybrid beam systems with rotating tip component

David L. Russell^1,

1.
Department of Mathematics, Virginia Tech, 460 McBryde Hall, MS 0123, Blacksburg, VA 24061-0123

Received: November 30, 2013

Revised: February 28, 2014

Published: May 2014

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Abstract

We study control and stability for two types of hybrid elastic structures consisting of distributed parameter, beam and rod type, elements coupled at one end to a rotating lumped mass. Applications to control of structural vibrations in wind energy units are indicated but not treated explicitly.

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Mathematics Subject Classification: 70G10, 70H03, 70H25, 70J30, 93C05, 93C20.

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