On a Laminated Timoshenko Beam with Nonlinear Structural Damping

Mathematical and Computational Applications

AminuM. Nass¹  TijaniA. Apalara²  Hamdan Al Sulaimani² 

[1] Department of Actuarial Science, Federal University Dutse (FUD), Dutse P.M.B. 7156 Jigawa State, Nigeria;Department of Mathematics, University of Hafr Al-Batin (UHB), Hafr Al-Batin 31991, Saudi Arabia;

关键词: laminated beams;    nonlinear damping;    general decay;    multiplier method;   

DOI  :  10.3390/mca25020035

来源: DOAJ

【 摘 要 】

In the present work, we study a one-dimensional laminated Timoshenko beam with a single nonlinear structural damping due to interfacial slip. We use the multiplier method and some properties of convex functions to establish an explicit and general decay result. Interestingly, the result is established without any additional internal or boundary damping term and without imposing any restrictive growth assumption on the nonlinear term, provided the wave speeds of the first equations of the system are equal.

【 授权许可】

Unknown