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
收藏
页码：1489 / 1507
页数：19
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