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Exponential Decay Rate for a Timoshenko Beam with Boundary Damping

Author

Listed:
  • G. Q. Xu

    (Tianjin University)

  • S. P. Yung

    (University of Hong Kong)

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.

Suggested Citation

  • G. Q. Xu & S. P. Yung, 2004. "Exponential Decay Rate for a Timoshenko Beam with Boundary Damping," Journal of Optimization Theory and Applications, Springer, vol. 123(3), pages 669-693, December.
    • Handle: RePEc:spr:joptap:v:123:y:2004:i:3:d:10.1007_s10957-004-5728-x
    DOI: 10.1007/s10957-004-5728-x
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    Cited by:

    1. Jean‐Luc Akian, 2022. "Spectral analysis of a non‐homogeneous rotating Timoshenko beam," Mathematische Nachrichten, Wiley Blackwell, vol. 295(3), pages 422-449, March.

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