Publications [#282482] of Lawrence N. Virgin
- Virgin, LN, The dynamics of symmetric post-buckling,
International Journal of Mechanical Sciences, vol. 27 no. 4
pp. 235-248, Elsevier BV, ISSN 0020-7403 [0020-7403(85)90082-7], [doi]
(last updated on 2019/09/19)
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.