On a Laminated Timoshenko Beam with Nonlinear Structural Damping

被引：22

作者：

Apalara, Tijani A. ^{[1
]}

Nass, Aminu M. ^{[2
]}

Al Sulaimani, Hamdan ^{[1
]}

机构：

[1] Univ Hafr Al Batin UHB, Dept Math, Hafar al Batin 31991, Saudi Arabia

[2] Fed Univ Dutse FUD, Dept Actuarial Sci, PMB 7156, Dutse, Jigawa State, Nigeria

来源：

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2020年 / 25卷 / 02期

关键词：

laminated beams; nonlinear damping; general decay; multiplier method; EXPONENTIAL STABILIZATION; STABILITY; DECAY;

D O I：

10.3390/mca25020035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：11

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