On the stability of columns under stochastic loading taking into account nonlocal damping

Research paper by V. D. Potapov

Indexed on: 06 Aug '12Published on: 06 Aug '12Published in: Journal of Machinery Manufacture and Reliability


Using an example of a column clamped at both ends, the stability of columns made of a material characterized by nonlocal damping is investigated. The column is subjected to axial forces that are deterministic and randomly vary in time. In the deterministic case, the stability is understood in Lyapunov’s sense; in the case of the stochastic formulation of the problem, the almost sure stability is considered. In either case, the method of the top Lyapunov exponent is used to analyze the stability.