Dynamics of Laminated Timoshenko Beams

被引：43

作者：

Feng, B. ^{[1
]}

Ma, T. F. ^{[2
]}

Monteiro, R. N. ^{[3
]}

Raposo, C. A. ^{[4
]}

机构：

[1] Southwestern Univ Finance & Econ, Fac Econ Math, Chengdu 611130, Sichuan, Peoples R China

[2] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP, Brazil

[3] Natl Lab Sci Computat, BR-25651070 Petropolis, RJ, Brazil

[4] Univ Fed Sao Joao del Rei, Dept Math & Stat, BR-36307352 Sao Joao Del Rei, MG, Brazil

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2018年 / 30卷 / 04期

关键词：

Timoshenko system; Laminated beam; Interfacial slip; Global attractor; Superlinear damping; Quasi-stable systems; BOUNDARY FEEDBACK CONTROLS; SEMILINEAR WAVE-EQUATION; INTERFACIAL SLIP; EXPONENTIAL STABILIZATION; STABILITY; ATTRACTORS; SYSTEM; DISSIPATION; MEMORY; PLATE;

D O I：

10.1007/s10884-017-9604-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with long-time dynamics of laminated beams modeled from the well established Timoshenko system. Of particular interest is a model of two-layered beam proposed by Hansen and Spies which describes the slip effect produced by a thin adhesive layer uniting the structure. In a more general setting, involving a nonlinear foundation, we establish the existence of smooth finite dimensional global attractors for the corresponding solution semigroup.

引用

页码：1489 / 1507

页数：19

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