On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Lazzari, Barbara¹  Nibbi, Roberta¹ 

[1] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy

关键词: Euler-Bernoulli beam;    Boundary control;    Boundary conditions of memory type;    Exponential stability;    Semigroup theory;   

DOI  :  10.1016/j.jmaa.2011.12.046

来源: Elsevier

【 摘 要 】

We study the asymptotic behavior of the Euler-Bernoulli beam which is clamped at one end and free at the other end. We apply a boundary control with memory at the free end of the beam and prove that the exponential decay of the memory kernel is a necessary and sufficient condition for the exponential decay of the energy. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free