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Formulation of reference surface element and its applications in dynamic analysis of delaminated composite beams

机译：参考面单元的制定及其在分层复合梁动力分析中的应用

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This paper presents a new finite element formulation, referred to as reference surface element (RSE) model, for numerical prediction of dynamic behaviour of delaminated composite beams and plates using the finite element method. The RSE formulation can be readily incorporated into all elements based on the Timoshenko beam theory and the Reissner-Mindlin plate theory taking into account the transverse shear deformations. The 'free model' and 'constrained model' for dynamic analysis of delaminated composite beams and/or plates have been unified in this RSE formulation. The RSE formulation has been applied to an existing 2-node Timoshenko beam element taking into account the transverse shear deformations and the bending-extension coupling. Frequencies and vibration mode shapes are determined through solving an eigenvalue problem. Numerical results show that the present RSE model is reliable and practical when used to predict frequencies and mode shapes of delaminated composite beams. The RSE formulation has also been used to investigate the effects of the number, size and interfacial loci of delaminations on frequencies and mode shapes of composite beams.
机译：本文提出了一种新的有限元公式，称为参考表面元（RSE）模型，用于使用有限元方法对分层的复合梁和板的动力特性进行数值预测。考虑到横向剪切变形，可以根据Timoshenko梁理论和Reissner-Mindlin板理论将RSE公式轻松地纳入所有元素中。在此RSE公式中，对分层复合梁和/或板进行动态分析的“免费模型”和“约束模型”已经统一。考虑到横向剪切变形和弯曲-延伸耦合，RSE公式已应用于现有的2节点Timoshenko梁单元。频率和振动模式形状通过解决特征值问题来确定。数值结果表明，该方法在预测分层复合梁的频率和模态时是可靠且实用的。 RSE公式也已用于研究分层的数量，大小和界面轨迹对复合梁的频率和振型的影响。

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