Work

Long-time dynamics of laminated beams with nonlinear localized damping and source terms

Year: 2025

Type: article

Abstract: This paper is concerned with the long-time dynamics of the model of a laminated Timoshenko beam, which is a structure given by two-layered beams with structural damping as a result of an interfacial slip, with nonlinear localized damping mechanisms placed on an arbitrarily small support. We prove that the system admits a global attractor which is characterized as an unstable manifold of the set of stationary solutions. The regularity and finite fractal dimension of the global attractor is also proved. Finally, we obtain the existence of a generalized exponential attractor. All results are proved without any restrictions on the coefficients and the assumption of equal wave speed propagation.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025150

Authors: Baowei Feng, Zayd Hajjej, Haiyan Li, Sabeur Mansouri

Institutions: Southwestern University of Finance and Economics, King Saud University, North Minzu University, University of Monastir

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: King Saud University, Natural Science Foundation of Ningxia Province, Natural Science Foundation of Sichuan Province

OpenAlex ID: W7083180274

FWCI: 0.383

Cites: 45

Cited by: 1

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