Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method

Daniil Yurchenko, Arvid Naess, Eirik Mo

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35 Citations (Scopus)
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Abstract

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
Original languageEnglish
Article number061016
Number of pages8
JournalJournal of Applied Mechanics
Volume75
Issue number6
DOIs
Publication statusPublished - Nov 2008

Keywords

  • probability density function
  • path integration
  • strongly nonlinear systems
  • control
  • swings
  • random vibrations
  • reliability

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