Postbuckling dynamics of struts as related to their loading devices
This paper examines the linear dynamics of axially compressed pin-ended 'perfect' inextensional struts. Relationships are established between the natural frequencies of small oscillations about any equilibrium configuration (unbuckled and postbuckled) and axial compression for systems characterized by a stable-symmetric point of bifurcation. The general result that the initial slope of the postbuckling frequency squared curve is half the prebuckling value is shown to hold for both dead and semi-rigid loading, provided the appropriate control parameter is used. For the latter, this control is an end displacement rather than the actual load experienced by the structure: use of the load may of course be desirable, but the universal slope is then lost. © 1986.
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