Axial buckling scrutiny of doubly orthogonal slender nanotubes via nonlocal continuum theory

作者：Kiani Keivan^*

来源：Journal of Mechanical Science and Technology, 2015, 29(10): 4267-4272.

DOI：10.1007/s12206-015-0923-2

• Axial buckling
• Doubly orthogonal nanotubes
• Nonlocal Euler-Bernoulli beam
• Integral-ordinary differential equations
• Galerkin approach

Using nonlocal Euler-Bernoulli beam theory, buckling behavior of elastically embedded Doubly orthogonal single-walled carbon nanotubes (DOSWCNTs) is studied. The nonlocal governing equations are obtained. In fact, these are coupled fourth-order integro-ordinary differential equations which are very difficult to be solved explicitly. As an alternative solution, Galerkin approach in conjunction with assumed mode method is employed, and the axial compressive buckling load of the nanosystem is evaluated. For DOSWCNTs with simply supported tubes, the influences of the slenderness ratio, aspect ratio, intertube free space, small-scale parameter, and properties of the surrounding elastic matrix on the axial buckling load of the nanosystem are addressed. The proposed model could be considered as a pivotal step towards better understanding the buckling behavior of more complex nanosystems such as doubly orthogonal membranes or even jungles of carbon nanotubes.

• 出版日期2015-10