Sensitivity analysis of an inflated and extended fiber-reinforced membrane with different natural configurations of its constituents

IF 1.7 4区 工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Hadi Asghari, Heiko Topol, Jesús Lacalle, José Merodio
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Abstract

In this article, we apply sensitivity analysis (SA) to study the pressure–inflation relation and axial force in a pressurized and extended cylindrical tube. The material consists of an isotropic ground substance that is reinforced in the azimuthal direction with one family of fibers which are taken to be dispersed about that (mean) direction. The natural configuration of the fibers may differ from that of the ground substance, either because the fibers are pre-stretched or because the bonding between the fibers and the ground substance is considered to be imperfect. The axial stretch of the cylindrical membrane is given by a constant value. The input parameters data of the mechanical system, namely, the azimuthal stretch of the cylinder, the fiber dispersion, and the fiber natural configurations, are assumed to be distributed according to three probability distribution functions. In the sensitivity analysis, we apply the Sobol method as well as the Fourier amplitude sensitivity test (FAST) method to determine the way in which variations of the input parameters affect the required inflation pressure and corresponding axial force (output variables). The implementation of the Sobol and FAST methods allows us to account for the interplay of different parameters as well as to identify the most influential parameters in both the pressure–inflation relation and the axial force. The analysis singles out all these aspects showing a rich variety of results.
具有不同自然构型的充气扩展纤维增强膜的灵敏度分析
在本文中,我们运用灵敏度分析法(SA)研究了加压伸长圆柱管中的压力-膨胀关系和轴向力。材料由各向同性的基体物质组成,基体物质在方位角方向上由一系纤维增强,这些纤维被认为围绕该(平均)方向分散。纤维的自然构造可能不同于研磨材料的自然构造,这可能是因为纤维是预先拉伸的,也可能是因为纤维与研磨材料之间的粘合被认为是不完美的。圆柱形薄膜的轴向拉伸由一个恒定值给出。机械系统的输入参数数据,即圆柱体的方位拉伸、纤维离散度和纤维自然配置,被假定为按照三个概率分布函数分布。在灵敏度分析中,我们采用了 Sobol 方法和傅立叶振幅灵敏度测试(FAST)方法,以确定输入参数的变化如何影响所需的充气压力和相应的轴向力(输出变量)。通过使用索博尔和 FAST 方法,我们可以考虑不同参数之间的相互作用,并确定对压力-充气关系和轴向力影响最大的参数。所有这些方面的分析都显示出丰富多样的结果。
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来源期刊
Mathematics and Mechanics of Solids
Mathematics and Mechanics of Solids 工程技术-材料科学:综合
CiteScore
4.80
自引率
19.20%
发文量
159
审稿时长
1 months
期刊介绍: Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science. The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).
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