The dynamics of symmetric post-buckling


Journal Article

This work examines the relationship between natural frequency and compressive load for a conservative elastic mechanical system characterised by symmetric buckling. Application of some general theory shows that for a perfect system, exhibiting a stable-symmetric point of bifurcation, the initial post-buckling curve of compressive load against the square of the natural frequency is linear and has a slope of - 1 2 that of the pre-buckling curve. Simple link models and discretised continuous systems are analysed to illustrate the results of the general theory. These models are also used to show that the initial post-buckling curve is independent of axial inertia. The influence of initial imperfections is then considered and compared with experimental evidence. © 1985.

Full Text

Duke Authors

Cited Authors

  • Virgin, LN

Published Date

  • January 1, 1985

Published In

Volume / Issue

  • 27 / 4

Start / End Page

  • 235 - 248

International Standard Serial Number (ISSN)

  • 0020-7403

Digital Object Identifier (DOI)

  • 10.1016/0020-7403(85)90082-7

Citation Source

  • Scopus