Non-dissipative boundary feedback for Rayleigh and Timoshenko beams

Guiver, Christopher; Opmeer, Mark R.

Abstract

We show that a non-dissipative feedback that has been shown in the literature to exponentially stabilize an EulerBernoulli beam makes a Rayleigh beam and a Timoshenko beam unstable.

• Journal Article Type: Article
• Acceptance Date: Jul 6, 2010
• Online Publication Date: Aug 9, 2010
• Publication Date: 2010-09
• Deposit Date: Jul 23, 2020
• Publicly Available Date: Aug 11, 2020
• Journal: Systems & Control Letters
• Print ISSN: 0167-6911
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 59
• Issue: 9
• Pages: 578-586
• DOI: https://doi.org/10.1016/j.sysconle.2010.07.002
• Keywords: Rayleigh beam, Timoshenko beam, Stability, Feedback
• Public URL: http://researchrepository.napier.ac.uk/Output/2677385