- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 6
- Asymptotic behavior of a laminated beam with nonlinear delay and nonlinear structural damping
Asymptotic behavior of a laminated beam with nonlinear delay and nonlinear structural damping
Authors : Kassimu Mpungu, Tijani Apalara
Pages : 1517-1534
Doi:10.15672/hujms.947131
View : 9 | Download : 2
Publication Date : 2022-12-01
Article Type : Research
Abstract :Our concern in the present work is a Timoshenko laminated beam system with nonlinear delay and nonlinear structural damping acting in the equation describing the dynamics of slip. The aim is to establish an explicit and general energy decay rates of the solution under suitable assumptions on the weight of delay and speeds of wave propagation. To achieve our desired stability results, we exploit some properties of convex functions, coupled with the multiplier technique, which involves constructing an appropriate Lyapunov functional equivalent to the energy of the system.Keywords : Laminated beam, nonlinear structural damping, nonlinear delay, general energy decay