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首页> 外文期刊>Applied Mathematical Modelling >Elastic buckling and vibration analyses of orthotropic nanoplates using nonlocal continuum mechanics and spline finite strip method
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Elastic buckling and vibration analyses of orthotropic nanoplates using nonlocal continuum mechanics and spline finite strip method

机译：正交异性纳米板的弹性屈曲和振动分析的非局部连续介质力学和样条有限条法

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摘要

This paper addresses the elastic buckling and vibration characteristics of isotropic and orthotropic nanoplates using finite strip method. In order to consider small scale effect, Eringen's nonlocal continuum elasticity is employed. The governing nanoplate equations are derived using the principle of virtual work while B3-spline finite strip method is applied to the buckling and vibration analyses. The buckling load and vibration frequency of graphene sheets, which are subjected to biaxial compression and pure shear loading, are determined whilst the effects of different parameters such as sheet size, nonlocal parameter, aspect ratio and boundary conditions are investigated. The interaction curves of the critical biaxial compression loading as well as the interaction curves of the critical uniaxial compression and shear loading are also obtained. It is shown that small scale effect plays considerable role in the analysis of small sizes plates.
机译：本文利用有限条法研究了各向同性和正交各向异性纳米板的弹性屈曲和振动特性。为了考虑小尺度效应，采用了艾林根的非局部连续体弹性。运用虚拟功原理推导了控制纳米板的方程，同时将B3-样条有限条法应用于屈曲和振动分析。确定了石墨烯片材在双轴压缩和纯剪力作用下的屈曲载荷和振动频率，同时研究了片材尺寸，非局部参数，长宽比和边界条件等不同参数的影响。还获得了临界双轴压缩载荷的相互作用曲线以及临界单轴压缩和剪切载荷的相互作用曲线。结果表明，小尺寸效应在小尺寸板的分析中起着相当重要的作用。

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  • 来源
    《Applied Mathematical Modelling》 |2013年第11期|6703-6717|共15页
  • 作者

    H.R. Analooei; M. Azhari; A. Heidarpour;

  • 作者单位

    Department of Civil Engineering, Isfahan University of Technology. Isfahan 84156-83111, Iran;

    Department of Civil Engineering, Isfahan University of Technology. Isfahan 84156-83111, Iran;

    Department of Civil Engineering, Building 60, Monash University, Melbourne, VIC 3800, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Nanoplate; Buckling; Vibration; Nonlocal elasticity; Spline finite strip;

    机译：纳米板屈曲;振动;非局部弹性;花键有限条;

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