Surface effects on buckling analysis of nanotubes using nonlocal Euler-Bernoulli beam model

The critical buckling load response of nanotubes isinvestigated in this work by considering coupled effectsof surface and nonlocal elasticity theory within theframework of Euler-Bernoulli beam theory. Governingequations are derived through Hamilton’s principle. Thedifferential transformation method (DTM) as an efficientand accurate numerical tool in conjunction applied tosolve the linear equations of nanotubes subjected todifferent boundary conditions. The output results arecompared favorably with those published works. Theresults show that increasing the nonlocal parameterincreased the buckling ratio of the nanotubes.

کلیدواژه ها:

Surface effect ، Buckling analysis ، Nonlocalelasticity theory ، Differential transformation method