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使用低阶 CSFE-sh 有限元法和 N-T's 2-D 壳方程研究变载荷下层合壳(MBLS)的宏观行为。

Investigation of the macroscopic behaviour of laminates shells (MBLS) under varying loads using low order CSFE-sh FEM and the N-T's 2-D shell equations.

机构信息

Laboratoire E3M, Ecole Nationale Supérieure Polytechnique de Douala, Université de Douala, Douala, Cameroun.

Department of Mechanical Engineering, Higher Technical Teachers Training College of the University of Buea in Kumba, Kumba, Cameroon.

出版信息

PLoS One. 2022 May 13;17(5):e0267480. doi: 10.1371/journal.pone.0267480. eCollection 2022.

Abstract

The target in this survey is to investigate deformations of laminates shells (DLS), due to asymmetric and axisymmetric loads, including several other loadings using N-T shell equations. We point out here, the contribution of the metric change in thickness for the analysis of static and linear behavior of laminated composite shells. To achieve this objective, we've applied N-T's shells equations on the same monolayer laminate composite shell and derive the law of MBLS. The macrostructure is analyzed under static loads and implemented using low order curved shell finite elements with shifted Lagrange (CSFE-sh). We tested this element on benchmarks found within the literature. The analysis of cylindrical and spherical shells subjected to uniform sinusoidal pressures and asymmetric pressures reveals excellent accuracy compared to others. The results found without any correction factor were compared with those obtained by the analytical method and other finite element models.

摘要

本调查的目标是研究层合板壳的变形(DLS),由于非对称和轴对称载荷,包括使用 N-T 壳方程的其他几种载荷。在这里,我们指出,度量厚度变化对分析层合复合材料壳的静态和线性行为的贡献。为了实现这一目标,我们将 N-T 的壳方程应用于相同的单层层合复合材料壳,并推导出 MBLS 定律。在静态载荷下分析宏观结构,并使用带有平移拉格朗日(CSFE-sh)的低阶曲壳有限元实现。我们在文献中找到了基准测试来测试这个元素。与其他方法相比,对圆柱壳和球壳在均匀正弦压力和非对称压力下的分析具有出色的精度。未使用任何校正因子的结果与通过分析方法和其他有限元模型获得的结果进行了比较。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5c06/9106216/2ced932f782f/pone.0267480.g001.jpg

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