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首页> 外文期刊>Aerospace science and technology >N-objective genetic algorithm to obtain accurate equivalent single layer models with layerwise capabilities for challenging sandwich plates
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N-objective genetic algorithm to obtain accurate equivalent single layer models with layerwise capabilities for challenging sandwich plates

机译：N目标遗传算法可获取具有层级功能的精确等效单层模型，以挑战夹心板

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摘要

This paper presents refined equivalent single layer plate theories develop by an effective N-objective optimization method, considering multiple displacements and stresses as output parameters. The refined plate theories reported belong to Best Theory Diagrams (BTDs), in which the minimum number of terms that have to be used to achieve a desired accuracy can be read. Maclaurin, high order zig-zag, trigonometric, exponential and hyperbolic terms are employed in order to investigate their influence on several static mechanical studies for sandwich plates. The used refined models are develop via the Unified Formulation developed by Carrera. The governing equations are derived from the Principle of Virtual Displacement (PVD), and Navier-type closed form solutions have been obtained in the case of simply supported plates subjected to bisinuisoidal transverse pressure. BTDs have been constructed using the Axiomatic/Asymptotic Method (AAM) and genetic algorithms (GA). The results are compared with the layer-wise solution in several benchmarks proposed in the literature. It is shown that the ESL plate models can accurately describe the displacement field and the mechanical stress fields predicted by a LW model with less computational effort, even for extreme theoretical cases. Furthermore, the method presented allows the user to analyze the influence of numerous test functions in a single run. The combined use of CUF, AAM and GA is a powerful tool to evaluate the accuracy of any structural theory. (C) 2017 Elsevier Masson SAS. All rights reserved.
机译：本文介绍了一种有效的N目标优化方法，它考虑了多个位移和应力作为输出参数，从而开发了精炼的等效单层板理论。报告的精炼版理论属于最佳理论图（BTD），在其中可以读取必须使用的最少数量的术语才能获得所需的精度。为了研究它们对夹心板的几种静态力学研究的影响，使用了Maclaurin，高阶之字形，三角，指数和双曲线项。所使用的精炼模型是通过Carrera开发的Unified Formulation开发的。控制方程式是从虚拟位移原理（PVD）推导出来的，在承受双正弦横向压力的简单支撑板的情况下，已经获得了Navier型封闭形式的解决方案。使用公理/渐近方法（AAM）和遗传算法（GA）构建了BTD。将结果与文献中提出的多个基准中的分层解决方案进行比较。结果表明，即使在极端的理论情况下，ESL板模型也可以用较少的计算量准确地描述LW模型预测的位移场和机械应力场。此外，提出的方法允许用户在一次运行中分析众多测试功能的影响。 CUF，AAM和GA的组合使用是评估任何结构理论准确性的强大工具。 （C）2017 Elsevier Masson SAS。版权所有。

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