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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：一种可变ESL / LW运动学板配方，用于自由振动热弹性分析层压结构

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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配方，以处理多层板复合材料和夹层结构的自由振动分析。通过沿着厚度方向扩展未知的位移变量并使用等效单层（ESL）模型，层 - WISE（LW）模型和可变运动模型来获得一些先进的理论。可变运动模型允许降低分析的计算成本，使用ESL模型对多层结构的一些层进行分析，并将LW模型保持在多层的其他区域。此模型在此延长了完全耦合的热机械问题的自由振动分析。使用的精细模型在Carrera统一配方（CUF）中分组，并且它们准确地描述了沿多层板的厚度的位移场和温度分布。控制方程源自虚拟位移原理，并且采用有限元方法（FEM）来解决它们。分析了具有复合皮肤和简单地支撑边缘的各向同性板，交叉帘布层复合板和夹层结构。考虑各种纵横比。在CUF上下文中具有不同理论的结果与在文献中给出的弹性解决方案和其他高阶分析和有限元解决方案进行比较。从结果中，可以得出结论，基于CUF的板元件在复合结构的热机械问题的研究中非常有效。将ESL与LW模型组合的可变运动模型，允许减少计算成本，尊重全LW模型，保留结果的准确性。

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