Stability of Columns Subject to Impulsive Loading

by Siegfried M. Holzer,
Robert A. Eubanks,

Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 4, Pg. 897-920

Document Type: Journal Paper


The stability criterion developed for simply supported columns determine a bound on the transverse motion of the column relative to the amplitude and duration of a prescribed force pulse and a set of initial perturbations. The conditions of stability are deduced from the characteristics of a class of Lyapunov functions constructed for this problem (Lyapunov's direct method). The stability of simply supported columns is presented for three specific example loadings: a constant thrust of infinite duration, a variable thrust of infinite duration, and a transient thrust of parabolic shape. The quality of the bounds is ascertained through comparison with the trajectory of the differential equation of motion, obtained by numerical integration.

Subject Headings: Thrust | Columns | Impulsive loads | Equations of motion | Transient loads | Load duration | Load factors | Paraboloid

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