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Development of an equivalent shell finite element for modelling damped multi-layered composite structures

机译：用于模拟湿润多层复合结构的等效壳有限元的开发

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摘要

A new equivalent shell finite element (FE) for modelling damped mull-layered structures is presented in this study. The method used for developing the new FE for such structures is based on the idea that the strain energy of the equivalent single-layer FE must be equal to the sum of the strain energies of individual layers. The so-called energy coefficients are defined for this purpose for the extensional, bending and shear deformations of the composite structure. These coefficients are then determined and used as correction multipliers during stacking the elemental matrices of individual layers. Two approaches, based on second-order strain or stress distribution assumption through the composite thickness, are investigated for deriving the shear energy coefficients. The damping capability of the FE developed here originates from using complex Young's modulus to define the material properties of individual layers. The resulting equivalent single-layer shell element with four nodes has six degrees-of-freedom per node. The accuracy, advantages and limitations of the composite FE developed in this work are investigated using experimental as well as theoretical results. In the light of the finding of these investigations, further enhancement in the formulation is made by also utilising a new shear correction factor for the individual layers in the equivalent shell element. Final results for free- and constrainedlayered structures confirm that the equivalent shell FE developed here can be used effectively for the prediction of the modal properties of damped mull-layered structures.
机译：本研究提出了一种用于模拟阻尼MULL层层结构的新的等效壳有限元（FE）。用于开发这种结构的新FE的方法是基于同样的单层Fe的应变能必须等于各个层的应变能量的总和。为此目的定义所谓的能量系数，用于复合结构的延伸，弯曲和剪切变形。然后确定这些系数并在堆叠各个层的元素矩阵期间用作校正乘法器。研究了通过基于二阶菌株或通过复合厚度的应力分布假设的方法进行研究，以导出剪切能量系数。这里开发的FE的阻尼能力来自使用复杂的杨氏模量来定义各个层的材料特性。具有四个节点的生成的等效单层壳元素每个节点具有六个自由度。使用实验结果和理论结果研究了本作工作中显影的复合FE的准确性，优点和限制。鉴于这些研究的发现，通过在等效壳元件中利用各个层的新剪切校正因子来进行制剂的进一步增强。用于自由和约束的结构的最终结果证实，这里开发的等效壳FE可以有效地用于预测阻尼MULL层层结构的模态性质。

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