In this paper, we consider an Euler-Bernoulli beam equation with one segment of the beam made of viscoelastic material of Boltzmann type and the other segment made of elastic material. Strong stability and exponential stability of the associated semigroup are obtained under certain smoothness conditions imposed on the coefficient functions of the equation.
|Original language||English (US)|
|Number of pages||9|
|Journal||Journal of Elasticity|
|State||Published - Feb 2004|
Bibliographical noteFunding Information:
★ Permanent address: Department of Mathematics, Northeast Normal University, Changchun, 130024, China. E-mail: email@example.com ★★ Supported partially by the National Natural Science Foundation of China grants 10271111 and 69874034.
- Boltzmann-type viscoelasticity
- Euler-Bernoulli beam
- Exponential stability