Stability results for laminated beam with thermo-visco-elastic effects and localized nonlinear damping. (October 2022)

• Record Type: Journal Article
• Authors: Khalili, Zineb; Ouchenane, Djamel; El Hamidi, Abdallah
• Is Part Of: Nonlinear analysis. Volume 67(2022)
• Publication Date: 2022-10
• Subjects: Optimal decay -- Laminated beam -- Thermoelasticity -- Viscoelasticity -- Convexity -- Nonlinear damping; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103555
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this article, we investigate a one-dimensional thermoelastic laminated beam system with nonlinear damping and viscoelastic dissipation on the effective rotation angle and through heat conduction in the interfacial slip equations. Under minimal conditions on the relaxation function and the relationship between the coefficients of the wave propagation speed of the first two equations, we show that the solution energy has an explicit and optimal decay rate from which the exponential and polynomial stability are just particular cases. Moreover, we establish a weaker decay result in the case of non-equal wave of speed propagation and give some examples illustrate our results. This work extends and improves the earlier results in the literature, particularly the result of Mukiawa et al. (2021).