Exact controllability of Naghdi shells |
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| Authors: | Bernadette Miara Gustavo Perla |
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| Institution: | 1. Université Paris-Est, École supérieure d''ingénieurs en électrotechnique et électronique, département de modélisation et simulation numérique, 2, boulevard Blaise-Pascal, 93160 Noisy-le-Grand, France;2. National Laboratory of Scientific Computation LNCC/MCT, Rua Getulio Vargas 333, Quitandinha, Petropolis 25651-070, RJ, Brasil;3. Institute of Mathematics, Federal University of Rio de Janeiro, RJ, P.O. 68530, Rio de Janeiro, RJ, Brasil |
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| Abstract: | 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. |
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