• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Composite Structures >Surface energy effects on the free vibration characteristics of postbuckled third-order shear deformable nanobeams
【24h】

Surface energy effects on the free vibration characteristics of postbuckled third-order shear deformable nanobeams

机译：表面能对后屈曲三阶剪切可变形纳米束自由振动特性的影响

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The prime aim of the current study is to predict the free vibration behavior of third-order shear deformable nanobeams in the vicinity of postbuckling configuration and in the presence of surface effects which includes surface elasticity, residual surface stress and surface inertia. To accomplish this end, Gurtin-Murdoch elasticity theory within the framework of third-order shear deformation beam theory is employed. In order to satisfy the balance conditions between the bulk and surfaces of nanobeam, a cubic distribution is considered for the normal stress through the thickness. By using Hamilton's principle, the non-classical governing differential equations of motion including von Karman geometric nonlinearity are derived. After using generalized differential quadrature (GDQ) method to discretize the governing equations on the basis of Chebyshev-Gauss-Lobatto grid points, the pseudo-arc length continuation technique is utilized to solve the eigenvalue problem. The natural frequencies of nanobeam corresponding to the both prebuckling and postbuckling domains are obtained for various buckling mode shapes based on the numerical solution strategy. It is demonstrated that in the prebuckling domain of the first vibration mode shape, increasing of beam thickness leads to lower natural frequency for all types of boundary conditions, but this behavior becomes reverse in the postbuckling domain.
机译：当前研究的主要目的是在屈曲后构型附近以及存在表面效应（包括表面弹性，残余表面应力和表面惯性）的情况下预测三阶剪切可变形纳米束的自由振动行为。为了达到这个目的，在三阶剪切变形梁理论的框架内，采用了Gurtin-Murdoch弹性理论。为了满足纳米束的体积和表面之间的平衡条件，考虑了整个厚度的正应力的三次分布。利用汉密尔顿原理，推导了包括冯·卡曼几何非线性在内的非经典运动微分方程。在基于Chebyshev-Gauss-Lobatto网格点使用广义微分正交（GDQ）方法离散化控制方程之后，利用伪弧长连续技术解决了特征值问题。基于数值求解策略，获得了各种屈曲模式形状对应于屈曲前和屈曲后域的纳米束的固有频率。已经证明，在第一振动模式形状的预屈曲域中，梁厚度的增加导致所有类型的边界条件的固有频率降低，但是这种行为在后屈曲域中变得相反。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号