- Virgin, Lawrence N., DYNAMICS OF SYMMETRIC POST-BUCKLING.,
International Journal of Mechanical Sciences, vol. 27 no. 4
pp. 235 - 248 [0020-7403(85)90082-7] .
(last updated on 2007/03/23)
This work examines the relationship between natural frequency and compressive load for a conservative elastic mechanical system characterized 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 minus one-half that of the pre-buckling curve. Simple link models and discretized continuous systems are analyzed 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.