Collective buckling of nonuniform nanobeams interacting through an elastic substrate

摘要

We analyze the collective buckling of a row of vertical beams with their lower ends built into an elastic substrate. The beams interact among themselves through the deformation of the substrate. The present analysis is more sophisticated than a previous one in that the beams' height and spacing are no longer uniform. This allows us to study the buckling of beams with specific height and spacing variation profiles. The effect of irregularity when the height of a particular beam or the distance between a particular pair of neighboring beams is different from the rest is also examined.