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首页> 外文期刊>Journal of thermal stresses >A variable ESL/LW kinematic plate formulation for free-vibration thermoelastic analysis of laminated structures
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A variable ESL/LW kinematic plate formulation for free-vibration thermoelastic analysis of laminated structures

机译：用于层压结构自由振动热弹性分析的可变ESL / LW运动板配方

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In this article, a fully-coupled thermoelastic formulation is developed to deal with the free-vibration analysis of multilayered plate composite and sandwich structure. Some advanced theories are obtained by expanding the unknown displacement variables along the thickness direction and using equivalent-single-layer (ESL) models, layer-wise (LW) models, and variable-kinematic models. The variable-kinematic models permit to reduce the computational cost of the analyses grouping some layers of the multilayered structure with ESL models and keeping the LW models in other zones of the multilayer. This model is here extended for the free-vibration analysis of fully-coupled thermomechanical problems. The used refined models are grouped in the Carrera unified formulation (CUF), and they accurately describe the displacement field and the temperature distributions along the thickness of the multilayered plate. The governing equations are derived from the principle of virtual displacement, and the finite element method (FEM) is employed to solve them. Isotropic plates, cross-ply composite plates, and sandwich structures with composite skins and simply-supported edges are analyzed. Various aspect ratios are considered. The results, obtained with different theories within CUF context, are compared with the elasticity solutions, and other higher-order analytical and FEM solutions given in the literature. From the results, it is possible to conclude that the plate element based on the CUF is very efficient in the study of thermomechanical problems of composite structures. The variable-kinematic models combining the ESL with the LW models, permit to have a reduction of the computational costs, respect with the full LW models, preserving the accuracy of the results.
机译：在本文中，开发了一种完全耦合的热弹性公式，以处理多层板复合材料和夹层结构的自由振动分析。通过沿厚度方向扩展未知位移变量并使用等效单层（ESL）模型，逐层（LW）模型和可变运动学模型，可以获得一些高级理论。可变运动学模型可以减少使用ESL模型将多层结构的某些层分组的分析的计算成本，并将LW模型保留在多层的其他区域中。此模型在此扩展为对完全耦合的热机械问题进行自由振动分析。所使用的精炼模型按Carrera统一公式（CUF）进行分组，它们精确描述了沿多层板厚度方向的位移场和温度分布。根据虚拟位移原理推导了控制方程，并采用了有限元法对其进行求解。对各向同性板，交叉复合板以及具有复合蒙皮和简单支撑边缘的夹心结构进行了分析。考虑各种纵横比。将在CUF上下文中使用不同理论获得的结果与弹性解以及文献中给出的其他高阶分析和FEM解进行比较。从结果可以得出结论，基于CUF的板单元在研究复合结构的热机械问题方面非常有效。结合ESL和LW模型的可变运动学模型，相对于完整的LW模型，可以降低计算成本，并保持结果的准确性。

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