Stability and Boundness via Liapunov's Direc Method

by Siegfried M. Holzer, Virginia Polytechnic Inst. and State Univ., Blacksburg, VA; formerly, Asst. Prof. of Civ. Engrg., Univ. of Illinois, Urbana, IL,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 5, Pg. 1273-1284

Document Type: Journal Paper


An extension of Liapunov's direct method is employed to investigate stability and boundedness of discrete structural systems. Bounds on the response of structures with dynamic loading, including parametric excitation, are established in explicit form. These bounds are specialized to provide a stability criterion for elastically end-restrained columns under parametric loading and response bounds for systems under forced vibration.

Subject Headings: Dynamic loads | Parameters (statistics) | Structural stability | Structural response | Excitation (physics) | Elastic analysis | Columns | Vibration

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