...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of non-linear mechanics >Surface and non-local effects for non-linear analysis of Timoshenko beams
【24h】

Surface and non-local effects for non-linear analysis of Timoshenko beams

机译：Timoshenko梁的非线性分析的表面和非局部效应

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

In this paper, we present a non-local non-linear finite element formulation for the Timoshenko beam theory. The proposed formulation also takes into consideration the surface stress effects. Eringen's non-local differential model has been used to rewrite the non-local stress resultants in terms of non-local displacements. Geometric non-linearities are taken into account by using the Green-Lagrange strain tensor. A C-0 beam element with three degrees of freedom has been developed. Numerical solutions are obtained by performing a non-linear analysis for bending and free vibration cases. Simply supported and clamped boundary conditions have been considered in the numerical examples. A parametric study has been performed to understand the effect of non-local parameter and surface stresses on deflection and vibration characteristics of the beam. The solutions are compared with the analytical solutions available in the literature. It has been shown that non-local effect does not exist in the nano-cantilever beam (Euler-Bernoulli beam) subjected to concentrated load at the end. However, there is a significant effect of non-local parameter on deflections for other load cases such as uniformly distributed load and sinusoidally distributed load (Cheng et al. (2015) [10]). In this work it has been shown that for a cantilever beam with concentrated load at free end, there is definitely a dependency on non-local parameter when Timoshenko beam theory is used. Also the effect of local and non-local boundary conditions has been demonstrated in this example. The example has also been worked out for other loading cases such as uniformly distributed force and sinusoidally varying force. The effect of the local or non-local boundary conditions on the end deflection in all these cases has also been brought out. (C) 2015 Elsevier Ltd. All rights reserved.
机译：在本文中，我们提出了Timoshenko梁理论的非局部非线性有限元公式。提议的配方还考虑了表面应力效应。 Eringen的非局部微分模型已用于根据非局部位移重写非局部应力结果。通过使用Green-Lagrange应变张量考虑了几何非线性。已经开发出具有三个自由度的C-0光束元件。通过对弯曲和自由振动情况进行非线性分析，可以获得数值解。数值示例中考虑了简单支持和约束的边界条件。已经进行了参数研究，以了解非局部参数和表面应力对梁的挠度和振动特性的影响。将这些解决方案与文献中提供的分析解决方案进行比较。已经表明，在末端受到集中载荷的纳米悬臂梁（Euler-Bernoulli束）中不存在非局部效应。然而，对于其他载荷情况，例如均匀分布的载荷和正弦分布的载荷，非局部参数对挠度有显着影响（Cheng等人（2015）[10]）。在这项工作中，已经表明，对于自由端集中载荷的悬臂梁，当使用Timoshenko梁理论时，绝对依赖于非局部参数。在这个例子中也证明了局部和非局部边界条件的影响。该示例还针对其他载荷情况（例如均匀分布的力和正弦变化的力）进行了计算。在所有这些情况下，也已经得出了局部或非局部边界条件对端部变形的影响。 （C）2015 Elsevier Ltd.保留所有权利。

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