Nonlinear Buckling Analysis of nonlocal Boron Nitride Timoshenko nano beam based on Modified couple stress theory using DQM

Document Type : Research Article

Authors

Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

Abstract

In this article, nonlinear buckling analysis of nonlocal boron nitride Timoshenko nano
beam on elastic foundation based on modified couple stress theory, nonlocal elasticity Eringen’s model,
and Von Karman nonlinear geometry theory are investigated. The governing equation of motion and
boundary conditions based on Hamilton’s principle are obtained. To solve the nonlinear governing
equation of motion, the differential quadrature method is used to obtain the critical buckling load for two
edges simply supported (S-S) and simply supported-clamped (S-C) boundary conditions. The results of
this research are compared with the obtained results by other researchers and there is a good agreement.
Finally, effects of various parameters such as nonlocal Eringen’s parameter, slenderness ratio of nano
beam, electric field, temperature changes and material length scale parameter on the nonlocal critical
buckling load of Timoshenko nano beam are examined. The results show that with increasing nonlocal
parameter, slenderness ratio, electric field, and temperature changes, the critical buckling load decreases.
Meanwhile, the critical buckling load for S-S boundary condition is lower than that of for S-C.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 49, Issue 2
August 2017
Pages 241-252

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