On boundary damped inhomogeneous Timoshenko beams and related problems. (10th August 2016)

• Record Type: Journal Article
• Authors: Picard, Rainer; Watson, Bruce
• Other Names: Barbatis Gerassimos guestEditor.; Dougalis Vassilios guestEditor.; Stratis Ioannis G. guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 3(2018)
• Page Start: 1054
• Page End: 1061
• Publication Date: 2016-08-10
• Subjects: Timoshenko beam -- abstract grad–div systems -- boundary damping -- Sturm–Liouville equation -- Nevanlinna functions; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4124
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We consider the model equations for the Timoshenko beam as a first‐order system in the framework of evolutionary equations. The focus is on boundary damping, which is implemented as a dynamic boundary condition. A change of material laws allows the inclusion of a large class of cases of boundary damping. By choosing a particular material law, it is shown that the first‐order approach to Sturm–Liouville problems with boundary damping is also covered. Copyright © 2016 John Wiley & Sons, Ltd.