On the lift-off constant for elastically supported plates

被引：2

作者：

Bass, RF ^{[1
]}

Horák, J

McKenna, PJ

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Univ Basel, Dept Math, Basel, Switzerland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 10期

关键词：

Lift-off constant; vibrating plate; beam; Brownian motion;

D O I：

10.1090/S0002-9939-04-07428-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we continue the study begun by Kawohl and Sweers of the precise constant at which the elastic foundation supporting a bending plate can allow lift-off in the case of downward loading. We provide a number of numerical results and a rigorous result on a different counterexample than the one suggested in Kawohl and Sweers (2002). Important open problems are summarized at the conclusion.

引用

页码：2951 / 2958

页数：8