This paper presents a first passage type reliability analysis of strongly nonlinear stochastic single-degree-of-freedom systems. Specifically, the systems considered are a dry friction system, a stiffness controlled system, an inertia controlled system, and a swing. These systems appear as a result of implementation of the quasioptimal bounded in magnitude control law. The path integration method is used to obtain the reliability function and the first passage time.
Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method
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Iourtchenko, D., Mo, E., and Naess, A. (August 21, 2008). "Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method." ASME. J. Appl. Mech. November 2008; 75(6): 061016. https://doi.org/10.1115/1.2967896
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