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MODELIZATION AND NUMERICAL APPROXIMATION OF ACTIVE THIN SHELLS

机译:有源薄壳的建模与数值逼近

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摘要

This work is concerned with the numerical analysis of a general active thin shell structure which is constituted by (ⅰ) a thin shell made of a "classical" material and having a general shape; (ⅱ) some piezoelectric patches which are bonded upon the external surfaces of the shell and which work as actuators. In this way, a convenient 2D modelization is obtained, an existence and uniqueness result of a solution is proved, an approximation by accurate conforming finite elements is obtained, the associate convergence is studied and a numerical experiment proves the effectiveness of the method.
机译:这项工作是关于一种普通的主动薄壳结构的数值分析,该结构由(ⅰ)一种由“经典”材料制成并具有一般形状的薄壳构成; (ⅱ)粘结在外壳外表面上并用作致动器的一些压电片。这样,可以方便地进行二维建模,证明了解的存在性和唯一性,可以通过精确的一致有限元进行逼近,研究了相关的收敛性,并通过数值实验证明了该方法的有效性。

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