The Impact of Flexural/Torsional Coupling on the Stability of Symmetrical Laminated Plates

IF 1.5 Q3 MECHANICS
Hafid Mataich, Bouchta El Amrani
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引用次数: 0

Abstract

In this study, we will evaluate the effect of bending/torsion coupling on the buckling instability and free vibration behavior of symmetrical laminated plates. We will load these plates in-plane with bi-axial or uni-axial, uniform or non-uniform mechanical loads. To quantify this behavior, we’ll compare the results obtained with those of specially orthotropic symmetrical plates (where bending/torsion coupling is absent). A parametric study will be carried out by varying the plate’s aspect ratio, anisotropy ratio and/or lamination angle. The aim of these studies is to construct a planar loading margin for the plate while remaining elastically stable, and to determine a physically admissible limit where we can approximate the behavior of symmetrical laminates to that of specially orthotropic plates (easy to study). We will base ourselves on a Rayleigh-Ritz energy formulation of the problem because of the difficulty of finding closed-form solutions. Following validation of this formulation, a numerical survey of the results will be carried out to quantify the effect of bending/torsion coupling on the instability of this type of plate. Various conditions on the plate boundaries will be used.
挠扭耦合对对称层压板稳定性的影响
在本研究中,我们将评估弯曲/扭转耦合对对称层压板屈曲不稳定性和自由振动行为的影响。我们将用双轴或单轴、均匀或不均匀的机械载荷对这些板材进行平面加载。为了量化这种行为,我们将把获得的结果与特别正交对称板(不存在弯曲/扭转耦合)的结果进行比较。我们将通过改变板的长宽比、各向异性比和/或层压角来进行参数研究。这些研究的目的是在保持弹性稳定的同时,为板材构建一个平面加载边缘,并确定一个物理上可接受的极限,在此极限下,我们可以将对称层压板的行为近似为特殊正交板的行为(易于研究)。由于很难找到闭式解,我们将以雷利-里兹能量公式为基础。在对这一公式进行验证后,将对结果进行数值调查,以量化弯曲/扭转耦合对这类板块不稳定性的影响。将使用板边界上的各种条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.70
自引率
8.30%
发文量
0
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