预损伤夹层壳板非线性动力特性分析

IF 6.5 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES
Ravi Kumar, Chetan Kumar Hirwani
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引用次数: 0

摘要

本文建立了带切口夹层壳板结构的非线性数学模型,研究了夹层壳板结构的非线性时变挠度响应。利用成熟的高阶剪切变形理论和有限元方法概念建立了上述数学模型。将夹层板芯层和面板层视为正交各向异性层,采用应力-应变本构关系对其进行建模。接着,采用格林-拉格朗日型非线性应变-位移关系来考虑几何非线性。在夹芯板的任意位置考虑了一个贯穿厚度的切口。面板的其余部分现在用九个节点等参元素离散化。利用能量法推导能量方程,利用Hamilton原理得到非线性动力分析的控制微分方程。采用Newmark时间积分法计算了随时间变化的挠度响应。然后用MATLAB算法实现所建立的数学模型。现在,通过将当前动态响应与先前发表的参考动态响应进行比较,验证了所推导的数值模型的必要的混沌细化和有效性。此外,利用该数值模型考察了各种参数(如切口尺寸、形状和位置(同心和偏心)以及芯面板厚度和端部条件)对带切口夹层结构非线性动态挠度的影响,验证了该数值模型的鲁棒性。最后,根据得到的回答进行了详细的讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear dynamic behavior analysis of pre-damaged (cutout) sandwich shell panel
In the present work, a nonlinear mathematical model of sandwich shell panel structure with cutout has been developed to investigate the nonlinear time-dependent deflection responses. The well-established higher-order shear deformation theory and finite element method concepts have been utilized to develop the aforementioned mathematical model. The core and face sheet layers of the sandwich panel are treated as orthotropic layers and stress-strain constitutive relations have been used to model them. In continuation, the Green-Lagrange type of nonlinear strain-displacement relation is used to consider geometrical nonlinearity. A through-thickness cutout has been considered at the arbitrary location of the sandwich panel. The remaining part of the panel is now discretized with nine noded isoparametric elements. The energy approach is used to derive the energy equations, and Hamilton's principle is applied to obtain the governing differential equation for nonlinear dynamic analysis. The time-dependent deflection responses are calculated using Newmark's time integration method. The developed mathematical model is then implemented as a MATLAB algorithm. Now, the necessary mess refinement and validity of the derived numerical model are checked by comparing the present dynamic responses with previously published reference dynamic responses. Further, the present numerical model's robustness is checked by using it to explore the effect of various parameters such as cutout sizes, shapes, and positions (concentric and eccentric), as well as the thickness of the core-face sheet and end conditions on the nonlinear dynamic deflection of the sandwich structure with cutout. Lastly, a detailed discussion, based on the obtained responses has been provided.
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来源期刊
Composites Communications
Composites Communications Materials Science-Ceramics and Composites
CiteScore
12.10
自引率
10.00%
发文量
340
审稿时长
36 days
期刊介绍: Composites Communications (Compos. Commun.) is a peer-reviewed journal publishing short communications and letters on the latest advances in composites science and technology. With a rapid review and publication process, its goal is to disseminate new knowledge promptly within the composites community. The journal welcomes manuscripts presenting creative concepts and new findings in design, state-of-the-art approaches in processing, synthesis, characterization, and mechanics modeling. In addition to traditional fiber-/particulate-reinforced engineering composites, it encourages submissions on composites with exceptional physical, mechanical, and fracture properties, as well as those with unique functions and significant application potential. This includes biomimetic and bio-inspired composites for biomedical applications, functional nano-composites for thermal management and energy applications, and composites designed for extreme service environments.
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