使用动态刚度法对石墨烯平板增强复合板进行预应力振动和屈曲分析

IF 2.3 3区 工程技术 Q2 MECHANICS
Raj Kumar, Prasun Jana
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引用次数: 0

摘要

文章介绍了使用动态刚度法(DSM)分析单轴和双轴平面载荷作用下先进复合材料板的屈曲和预应力振动。板由石墨烯微粒增强的层叠层组成,使用 Halpin-Tsai 微机械模型计算板的有效材料特性。通过应用汉密尔顿原理,基于一阶剪切变形理论,得到了石墨烯增强板在弹性地基上的支配微分方程(GDE)。对于板的某一区段,可通过求解具有 Levy 边界条件形式的 GDE 得到动态刚度矩阵。随后,使用 Wittrick-Williams 算法求解组装的全局动态刚度矩阵,计算板的屈曲和预应力振动行为。收敛性和比较研究表明,由于 DSM 是基于闭式解法制定的,因此效率很高,结果也非常精确。进行了多项参数研究,以研究不同边缘载荷、地基参数和板边界条件的影响。此外,还介绍了非均匀板配置的结果,以突出本 DSM 对相当复杂的板配置的适用性和有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Prestressed vibration and buckling analysis of graphene platelets reinforced composite plates using the dynamic stiffness method

Prestressed vibration and buckling analysis of graphene platelets reinforced composite plates using the dynamic stiffness method

The article presents the use of the dynamic stiffness method (DSM) for analyzing the buckling and prestressed vibration of advanced composite plates subjected to uniaxial and biaxial in-plane loads. The plate consists of laminated layers reinforced with graphene platelets and the effective material properties of the plate are computed using the Halpin-Tsai micromechanical model. Through the application of Hamilton’s principle, the governing differential equations (GDEs), based on the first order shear deformation theory, are obtained for the GPL-reinforced plate resting on elastic foundations. For a segment of the plate, the dynamic stiffness matrix is obtained by solving the GDEs with the Levy form of boundary conditions. Subsequently, the assembled global dynamic stiffness matrix is solved using the Wittrick-Williams algorithm to compute the buckling and prestressed vibration behavior of the plates. Convergence and comparative studies are performed to show that the DSM is efficient and produces very accurate results as it is formulated based on closed-form solutions. Several parametric studies are carried out to study the effect of different edge loads, foundation parameters, and plate boundary conditions. Results for non-uniform plate configurations are also presented to highlight the applicability and efficacy of the present DSM to fairly complex plate configurations.

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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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