Analyticity of a multilayer Mead-Markus plate

被引：9

作者：

Allen, Aaron A. ^{[1
]}

Hansen, Scott W. ^{[1
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Multilayer plate; Mead-Markus plate; Sandwich plate; Shear damping; BOUNDARY CONDITIONS; ELASTIC-SYSTEMS; SANDWICH BEAM; SEMIGROUPS; MODELS;

D O I：

10.1016/j.na.2009.02.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The multilayer Mead-Markus plate consists of m + 1 Kirchhoff plate layers bound together by m shear-deformable layers. We consider the case in which the Poisson ratios are the same in each Kirchhoff plate layer and linear viscous shear damping is included in the shear deformable layers. We show, via a contradiction argument, that the associated semigroup is analytic. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E1835 / E1842

页数：8

共 21 条

[1]

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[2] Differential Riccati equation for the active control of a problem in structural acoustics [J].