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首页> 外文期刊>Aerospace science and technology >An axiomatic/asymptotic evaluation of best theories for isotropic metallic and functionally graded plates employing non-polynomic functions
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An axiomatic/asymptotic evaluation of best theories for isotropic metallic and functionally graded plates employing non-polynomic functions

机译：使用非多项式函数的各向同性金属和功能梯度板的最佳理论的公理/渐近评估

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摘要

This paper presents Best Theory Diagrams (BTDs) constructed from various non-polynomial terms to identify best plate theories for metallic and functionally graded plates. The BTD is a curve that provides the minimum number of unknown variables necessary to obtain a given accuracy or the best accuracy given by a given number of unknown variables. The plate theories that belong to the BTD have been obtained using the Axiomatic/Asymptotic Method (MM). The different plate theories reported are implemented by using the Carrera Unified Formulation (CUF). Navier-type solutions have been obtained for the case of simply supported plates loaded by a bisinusoidal transverse pressure with different length-to-thickness ratios. The BTDs built from non-polynomial functions are compared with BTDs using Maclaurin expansions. The results suggest that the plate models obtained from the BTD using non polynomial terms can improve the accuracy obtained from Maclaurin expansions for a given number of unknown variables of the displacement field. (C) 2017 Elsevier Masson SAS. All rights reserved.
机译：本文介绍了由各种非多项式术语构成的最佳理论图（BTD），以识别金属和功能梯度板材的最佳板材理论。 BTD是一条曲线，提供获得给定精度所需的最少数量的未知变量，或由给定数量的未知变量给出的最佳精度。属于BTD的板块理论已使用公理/渐近法（MM）获得。报告的不同塔板理论是通过使用Carrera统一配方（CUF）来实现的。对于由具有不同长径比的双正弦横向压力加载的简单支撑板的情况，已经获得了Navier型解决方案。将使用非多项式函数构建的BTD与使用Maclaurin扩展的BTD进行比较。结果表明，使用非多项式项从BTD获得的板模型可以提高从Maclaurin扩展获得的给定数量的未知变量位移场的精度。 （C）2017 Elsevier Masson SAS。版权所有。

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