Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory
Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory
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DOI：
10.1088/0022-3727/39/17/029
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发表时间：
2006-09-07
影响因子：
3.4
通讯作者：
Kitipornchai, S.
中科院分区：
文献类型：
--
作者：
Wang, C. M.;Zhang, Y. Y.;Kitipornchai, S.
本文基于Eringen非局部弹性理论和Kanshenko梁理论对微纳米杆/管的弹性屈曲进行了分析。前者考虑了小尺度效应，后者考虑了横向剪切变形的影响。利用虚功原理导出了控制方程和边界条件。对于各种端部条件的轴向加载杆/管，导出了临界屈曲载荷的显式表达式。这些表达式占一个更好的代表性的屈曲行为的微和纳米棒/管的小尺度效应和横向剪切变形的影响是显着的。通过与经典梁理论的比较，可以看出小尺度效应对屈曲载荷的敏感性。
This paper is concerned with the elastic buckling analysis of micro- and nano-rods/tubes based on Eringen's nonlocal elasticity theory and the Timoshenko beam theory. In the former theory, the small scale effect is taken into consideration while the effect of transverse shear deformation is accounted for in the latter theory. The governing equations and the boundary conditions are derived using the principle of virtual work. Explicit expressions for the critical buckling loads are derived for axially loaded rods/tubes with various end conditions. These expressions account for a better representation of the buckling behaviour of micro- and nano-rods/tubes where small scale effect and transverse shear deformation effect are significant. By comparing it with the classical beam theories, the sensitivity of the small scale effect on the buckling loads may be observed.