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Finite Element Approximation Of Free Vibration Of Folded Plates

机译:折叠板自由振动的有限元逼近

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摘要

In this paper a finite element approximation of the free vibration of folded plates is studied. Naghdi model, including bending, shear and membrane terms for the plate, is considered. Quadrilateral low order MITC (Mixed Interpolation Tensorial Component) elements are used for the bending and shear effect, coupled with standard quadratic elements enriched with a drilling degree of freedom for the membrane term. Convergence properties and optimal order error estimates are proved. Numerical examples, showing the good behavior of the method, are presented for one and two folded plates with different thickness and crank angles.
机译:本文研究了折叠板自由振动的有限元近似。考虑Naghdi模型,包括板的弯曲,剪切和膜项。四边形低阶MITC(混合插值张量分量)元素用于弯曲和剪切效果,再加上标准的二次元素,这些元素对于膜项具有丰富的钻井自由度。证明了收敛性和最优阶误差估计。数值示例显示了该方法的良好性能,分别针对厚度和曲柄角不同的一个和两个折叠板。

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