Acta Mechanica

, Volume 209, Issue 3–4, pp 285–293 | Cite as

Collective buckling of nonuniform nanobeams interacting through an elastic substrate



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.


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.College of Engineering and LTCSPeking UniversityBeijingChina
  2. 2.Department of Engineering Mechanics and Nebraska Center for Materials and NanoscienceUniversity of NebraskaLincolnUSA

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