Giunta Gaetano, Iannotta Domenico Andrea, Montemurro Marco
Luxembourg Institute of Science and Technology, 5 Avenue des Hauts-Fourneaux, L-4362 Esch-sur-Alzette, Luxembourg.
Doctoral School in Science and Engineering (DSSE), University of Luxembourg, 2 Avenue de l'Université, L-4365 Esch-sur-Alzette, Luxembourg.
Materials (Basel). 2023 Jun 27;16(13):4643. doi: 10.3390/ma16134643.
Variable Angle Tow (VAT) laminates offer a promising alternative to classical straight-fiber composites in terms of design and performance. However, analyzing these structures can be more complex due to the introduction of new design variables. Carrera's unified formulation (CUF) has been successful in previous works for buckling, vibrational, and stress analysis of VAT plates. Typically, one-dimensional (1D) and two-dimensional (2D) CUF models are used, with a linear law describing the fiber orientation variation in the main plane of the structure. The objective of this article is to expand the CUF 2D plate finite elements family to perform free vibration analysis of composite laminated plate structures with curvilinear fibers. The primary contribution is the application of Reissner's mixed variational theorem (RMVT) to a CUF finite element model. The principle of virtual displacements (PVD) and RMVT are both used as variational statements for the study of monolayer and multilayer VAT plate dynamic behavior. The proposed approach is compared to Abaqus three-dimensional (3D) reference solutions, classical theories and literature results to investigate the effectiveness of the developed models. The results demonstrate that mixed theories provide the best approximation of the reference solution in all cases.
可变角度铺放（VAT）层压板在设计和性能方面为传统直纤维复合材料提供了一种很有前景的替代方案。然而，由于引入了新的设计变量，对这些结构进行分析可能会更加复杂。在先前的工作中，卡雷拉统一公式（CUF）已成功用于VAT板的屈曲、振动和应力分析。通常使用一维（1D）和二维（2D）CUF模型，并用线性定律描述结构主平面内的纤维取向变化。本文的目的是扩展CUF二维板有限元族，以对具有曲线纤维的复合层板结构进行自由振动分析。主要贡献是将赖斯纳混合变分定理（RMVT）应用于CUF有限元模型。虚位移原理（PVD）和RMVT都用作研究单层和多层VAT板动态行为的变分表述。将所提出的方法与Abaqus三维（3D）参考解、经典理论和文献结果进行比较，以研究所开发模型的有效性。结果表明，在所有情况下，混合理论都能最好地逼近参考解。
