Stability of a star-shaped coupled network of strings and beams

  • Authors:
  • Xu Gen Qi;Nikos E. Mastorakis

  • Affiliations:
  • Department of Mathematics, Tianjin University, Tianjin, China;Military Institutes of University Education, Hellenic Naval Academy, Terma Hatzikyriakou, Piraeus, Greece

  • Venue:
  • MMACTEE'08 Proceedings of the 10th WSEAS International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering
  • Year:
  • 2008

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Abstract

In this paper we study the solvability and stability of a star-shaped coupled network of strings and Euler-Bernoulli beams with damping. Suppose that the exterior vertices of the coupled network are clamped and at common node there is a damping. Under certain condition we show that the system is asymptotically stable.