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Dynamic instability of variable angle tow composite plates with delamination

机译：带分层的变角拖曳复合材料板的动态不稳定性

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摘要

In this paper, the dynamic instability of variable angle tow (VAT) plates with a single rectangular delamination is studied using an analytical model. The analytical model is derived from the principle of potential energy based on the classical laminated plate theory. Both global and local behavior of delaminated VAT plates in the dynamic instability analysis are accurately captured by the use of multiple Legendre polynomial series. The equations for the motion in dynamic instability problem are derived using Hamilton's principle. The dynamic instability regions are determined from the resulting Mathieu differential equations, which are solved using Bolotin's approach. To validate the proposed analytical model, both critical buckling loads and natural frequencies of delaminated VAT plates are evaluated and compared with FEM results. The influence of delamination on the buckling load, natural frequency and dynamic instability region (DIR) of delaminated VAT plates is examined by numerical examples. A parametric study is subsequently carried out to analyze the effect of linearly varying fibre orientation angles on the dynamic instability response of delaminated VAT plates. Finally, the mechanism of applying variable angle tows to improve the dynamic stability performance of delaminated composite plates is studied.
机译：在本文中，使用解析模型研究了具有单个矩形分层的可变角度牵引（VAT）板的动态不稳定性。该分析模型是基于经典叠层板理论从势能原理得出的。通过使用多个Legendre多项式序列，可以准确地捕获分层的VAT板在动态不稳定性分析中的整体和局部行为。使用汉密尔顿原理导出了动态不稳定性问题中的运动方程。动态不稳定性区域由生成的Mathieu微分方程确定，可使用Bolotin方法求解。为了验证所提出的分析模型，对分层的增值税板的临界屈曲载荷和固有频率进行了评估，并将其与有限元结果进行了比较。通过数值算例研究了分层对分层VAT板屈曲载荷，固有频率和动态不稳定性区域（DIR）的影响。随后进行了参数研究，以分析线性变化的纤维取向角对分层增值税板的动态不稳定性响应的影响。最后，研究了应用变角度拖曳提高分层复合板动力稳定性能的机理。

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