期刊
THIN-WALLED STRUCTURES
卷 148, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.tws.2019.106496
关键词
Strain gradient differential quadrature finite element method; Reddy-type micro-beams; Geometric mapping scheme; Uniform or stepped thickness
资金
- National Natural Science Foundation of China [11602204, 11502218]
- Fundamental Research Funds for the Central Universities, Southwest Jiaotong University (SWJTU) [2682016CX096, 2682017QY03]
- Innovation and Technology Commission of Hong Kong [ITP/020/18LP]
This paper proposes a strain gradient differential quadrature finite element method to analyze the size-dependent static and dynamic behaviour of Reddy-type micro-beams. This element has 6 of freedom per node and avoids the exploitation of shape functions. A sixth-order differential quadrature-based geometric mapping scheme is constructed to realize the higher-order continuity requirements of kinematic variables. And then, it is combined with the minimum total potential energy principle to derive the motion equation of a generic element. Afterwards, several numerical examples are provided to establish the validity of the developed element. Finally, we utilize this method to analyze the static bending, free vibration, and linear buckling characteristics of uniform and stepped micro-beams. Numerical results show that the current element has prominent convergence and adaptability advantages over the classical shape function-based element. Besides, the size-dependence of vibration and critical buckling mode shapes of micro-beams is demonstrated in the graphical form for the first time.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据