Exact controllability of Naghdi shells

被引:0
|
作者
Miara, Bernadette [1 ]
Perla, Gustavo [2 ,3 ]
机构
[1] Univ Paris Est, Ecole Super Ingn Electrotech & Elect, Dept Modelisat & Simulat Numer, F-93160 Noisy Le Grand, France
[2] Natl Lab Sci Computat LNCC MCT, BR-25651070 Petropolis, RJ, Brazil
[3] Univ Fed Rio de Janeiro, Inst Math, Rio De Janeiro, Brazil
关键词
D O I
10.1016/j.crma.2009.12.019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the second order evolution equations of the displacement and rotation fields in any points of the middle surface of a shell in Naghdi's formulation. We establish that, with two controls, the exact controllability on part of the lateral boundary is achieved under the sufficient geometrical condition that the middle surface of the shell is "not too far" from a plane in a sense that is made more precise in the proof. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码:341 / 346
页数:6
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