Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method-Reference-Cited by-同舟云学术

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

Published:2008-08-21 Issue:6 Volume:75 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Iourtchenko Daniil¹,Mo Eirik²,Naess Arvid³

Affiliation:

1. Department of Mathematical Sciences, Saint Petersburg State Polytechnical University, Saint Petersburg, 195251 Russia

2. Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

3. Department of Mathematical Sciences, Centre for Ships and Ocean Structures, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/doi/10.1115/1.2967896/5477706/061016_1.pdf

Reference25 articles.

1. First Passage Time for the Envelope of a Randomly Excited Linear Oscillator;Roberts;J. Sound Vib.

2. First Passage Time for Oscillators With Non-Linear Restoring Forces;Roberts;J. Sound Vib.

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