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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.
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页码:2951 / 2958
页数:8
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