Advertisement

Dynamics and Control

, Volume 5, Issue 2, pp 205–218 | Cite as

Boundary stabilization of a thin circular cylindrical shell subject to axisymmetric deformation

  • Yuanhua Deng
Article

Abstract

In this paper, stabilization of a thin circular cylindrical shell with one edge clamped and the other edge acted by boundary control is studied. It is shown that uniform stability can be achieved.

Keywords

Cylindrical Shell Boundary Stabilization Boundary Control Circular Cylindrical Shell Uniform Stability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bardos, C., Lebeau, G., and Rauch, R., “Contrôle et stabilisation dans les problèmes hyperboliques,” inControlabilité exacte, stabilisation et perturbations de systèmes distribués, edited by J. L. Lions. Paris: Masson, 1988.Google Scholar
  2. 2.
    Chen, G., “Energy decay estimates and exact boundary value controllability for the wave equation in a boundary domain,”J. Math. Pure. Appl., vol. 58, pp. 249–274, 1979.Google Scholar
  3. 3.
    Chen, G., Delfour, M., Krall, A. M., and Payre, G., “Modeling, stabilization and control of serially connected beams,”SIAM J. Control Optim, vol. 25, pp. 526–546, 1987.CrossRefGoogle Scholar
  4. 4.
    Kraus, H.,Thin Elastic Shells. New York: Wiley, 1967.Google Scholar
  5. 5.
    Lagnese, J. E.,Boundary stabilization of thin plates, inSIAM Studies in Applied Mathematics, vol. 10. Philadelphia: SIAM, 1989.Google Scholar
  6. 6.
    Lagnese, J. E., “Decay of solutions of the wave equation in a boundary region with boundary dissipation,”J. Differential Equations, vol. 50, pp. 163–182, 1983.CrossRefGoogle Scholar
  7. 7.
    Lasiecka, I., “Asymptotic behavior of solutions to plate equations with nonlinear dissipation occuring through shear forces and bending moments,”Appl. Math. Optim, vol. 21, pp. 167–189, 1990.CrossRefGoogle Scholar
  8. 8.
    Lasiecka, I. and Triggiani, R., “Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions,”Appl. Math. Optim, vol. 25, pp. 189–224, 1992.CrossRefGoogle Scholar
  9. 9.
    Pazy, A.,Semigroups of Linear Operators and Applications to Partial, Differential Equations, Applied Mathematical Sciences, vol. 44. New York: Springer-Verlag, 1983.Google Scholar
  10. 10.
    Zauzau, E., “Uniform stabilization of the wave equation by nonlinear boundary feedback,”SIAM J. Control Optim, vol. 28, pp. 466–477, 1990.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Yuanhua Deng
    • 1
  1. 1.Department of MathematicsTexas A&M UniversityCollege StationUSA

Personalised recommendations