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Results on best theories for metallic and laminated shells including Layer-Wise models

机译:有关金属和层压壳的最佳理论的结果,包括Layer-Wise模型

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摘要

This paper deals with Best Theory Diagrams (BTDs) for metallic and laminated shells. The BTD is a curve that is defined over a 2D reference frame in which the horizontal axis indicates the error of a shell model with respect to a reference solution whereas the vertical axis indicates the number of displacement variables of the model. The best reduced model is a refined model that offers the lowest possible error for a given number of variables. The relevant terms of a model are detected by means of the axiomatic/asymptotic method (AAM), and the error is related to a given variable with respect to an exact or quasi-exact solution. In this work, a genetic algorithm has been used to obtain the BTD. The Carrera Unified Formulation (CUF) has been employed to build the refined models. The CUF makes it possible to generate automatically, and in a unified manner, any plate or shell models. Equivalent Single Layer (ESL) and Layer Wise (LW) refined models have been considered. The governing equations for shells have been obtained through the Principle of Virtual Displacements (PVD), and Navier-type closed form solutions have been considered. BTDs have been constructed by considering the influence of several parameters, such as various geometries, material properties, layouts, different displacement/stress components and loadings. The accuracies of some well-known theories have been evaluated and compared with BTD reduced models. The results suggest that, since the BTD depends on the problem characteristics to a great extent, the systematic adoption of the CUF and the AAM can be considered as a powerful tool to evaluate the accuracy of any structural theory against a reference solution for any structural problem. (C) 2015 Elsevier Ltd. All rights reserved.
机译:本文介绍了用于金属和层压壳的最佳理论图(BTD)。 BTD是在2D参考框架上定义的曲线,其中水平轴指示壳模型相对于参考解的误差,而垂直轴指示模型的位移变量的数量。最好的简化模型是精炼模型,对于给定数量的变量,该模型提供的误差尽可能小。模型的相关项通过公理/渐近方法(AAM)进行检测,并且误差与给定变量有关的精确或准精确解有关。在这项工作中,遗传算法已被用来获得BTD。 Carrera统一配方(CUF)已用于构建精炼模型。 CUF可以自动以统一的方式生成任何板或壳模型。已考虑等效单层(ESL)和层明智(LW)精炼模型。通过虚拟位移原理(PVD)获得了壳的控制方程,并考虑了Navier型封闭形式解。通过考虑几个参数的影响来构造BTD,例如各种几何形状,材料属性,布局,不同的位移/应力分量和载荷。一些著名理论的准确性已得到评估,并与BTD简化模型进行了比较。结果表明,由于BTD在很大程度上取决于问题的特征,因此可以认为CUF和AAM的系统采用是评估任何结构理论相对于任何结构问题的参考解决方案准确性的有力工具。 。 (C)2015 Elsevier Ltd.保留所有权利。

著录项

  • 来源
    《Composite Structures》 |2015年第8期|285-298|共14页
  • 作者单位

    RMIT Univ, Sch Aerosp Mech & Mfg Engn, Bundoora, Vic 3083, Australia|Politecn Torino, Dept Mech & Aerosp Engn, I-10129 Turin, Italy;

    Politecn Torino, Dept Mech & Aerosp Engn, I-10129 Turin, Italy;

    Politecn Torino, Dept Mech & Aerosp Engn, I-10129 Turin, Italy;

    RMIT Univ, Sch Aerosp Mech & Mfg Engn, Bundoora, Vic 3083, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Carrera Unified Formulation; Shell; Best Theory Diagram; Advanced models;

    机译:卡雷拉统一配方;壳;最佳理论图;高级模型;

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