Boundary Feedback Stabilization of Nonlinear Beam Models

Hegarty, G; Taylor, Stephen

dc.contributor.author	Hegarty, G	en
dc.contributor.author	Taylor, Stephen	en
dc.contributor.editor	Ancona, F	en
dc.contributor.editor	Lasiecka, I	en
dc.contributor.editor	Littman, W	en
dc.contributor.editor	Triggiani, R	en
dc.coverage.spatial	Snowbird, Utah	en
dc.date.accessioned	2012-05-27T23:22:25Z	en
dc.date.issued	2007	en
dc.identifier.citation	Contemporary Mathematics 426:243-253 2007	en
dc.identifier.isbn	0-8218-3766-4	en
dc.identifier.isbn	978-0-8218-3766-5	en
dc.identifier.issn	0271-4132	en
dc.identifier.uri	http://hdl.handle.net/2292/18641	en
dc.description.abstract	In this paper we consider the large amplitude planar motion of a cantilevered beam with a feedback force and/or torque (proportional and acting opposite to the velocity/angular velocity respectively) applied at the free end. We derive nonlinear equations of motion for such a beam based upon certain natural geometric assumptions. We then prove the existence of weak solutions for these equations, and that a particular class of weak solution is uniformly exponentially stable.	en
dc.description.uri	http://librarysearch.auckland.ac.nz/primo_library/libweb/action/display.do?fn=search&doc=uoa_voyager1738626&vid=UOA2_A	en
dc.publisher	American Mathematical Society	en
dc.relation.ispartof	AMS-IMS-SIAM Joint Summer Research Conference	en
dc.relation.ispartofseries	Contemporary Mathematics	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	Boundary Feedback Stabilization of Nonlinear Beam Models	en
dc.type	Conference Item	en
dc.identifier.doi	10.1090/conm/426	en
pubs.begin-page	243	en
pubs.volume	426	en
dc.rights.holder	Copyright: American Mathematical Society	en
pubs.end-page	253	en
pubs.finish-date	2005-07-07	en
pubs.start-date	2005-07-03	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Proceedings	en
pubs.elements-id	77898	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
pubs.record-created-at-source-date	2010-09-01	en