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
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
收藏
页码:2951 / 2958
页数:8
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