Exponential Decay Rate for a Timoshenko Beam with Boundary Damping

G. Q. Xu and S. P. Yung
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G. Q. Xu: Tianjin University
S. P. Yung: University of Hong Kong

Journal of Optimization Theory and Applications, 2004, vol. 123, issue 3, No 11, 669-693

Abstract: Abstract The exponential decay rate of a Timoshenko beam system with boundary damping is studied. By asymptotically analyzing the characteristic determinant of the system, we prove that the Timoshenko beam system is a Riesz system; hence, its decay rate is determined via its spectrum. As a consequence, by showing that the imaginary axis neither has an eigenvalue on it nor is an asymptote of the spectrum, we conclude that the system is exponentially stable.

Keywords: Timoshenko beam equation; boundary damping; Riesz system; rate of exponential decay; exponential stability (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-004-5728-x

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