NDLI: Time-Dependent Reliability Analysis of Vibratory Systems With Random Parameters

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Zissimos, P. Mourelatos Majcher, Monica Geroulas, Vasileios
Copyright Year	2015
Abstract	The field of random vibrations of large-scale systems with millions of degrees of freedom is of significant importance in many engineering disciplines. In this paper, we propose a method to calculate the time-dependent reliability of linear vibratory systems with random parameters excited by non-stationary Gaussian processes. The approach combines principles of random vibrations, the total probability theorem and recent advances in time-dependent reliability using an integral equation involving the up-crossing and joint up-crossing rates. A space-filling design, such as optimal symmetric Latin hypercube sampling, is first used to sample the input parameter space. For each design point, the corresponding conditional time-dependent probability of failure is calculated efficiently using random vibrations principles to obtain the statistics of the output process and an efficient numerical estimation of the up-crossing and joint up-crossing rates. A time-dependent metamodel is then created between the input parameters and the output conditional probabilities allowing us to estimate the conditional probabilities for any set of input parameters. The total probability theorem is finally applied to calculate the time-dependent probability of failure. The proposed method is demonstrated using a vibratory beam example.
Sponsorship	Design Engineering Division Computers and Information in Engineering Division
File Format	PDF
ISBN	9780791857083
DOI	10.1115/DETC2015-46847
Volume Number	Volume 2B: 41st Design Automation Conference
Conference Proceedings	ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2015-08-02
Publisher Place	Boston, Massachusetts, USA
Access Restriction	Subscribed
Subject Keyword	Design Degrees of freedom Theorems (mathematics) Integral equations Event history analysis Probability Statistics as topic Engineering disciplines Reliability Failure Random vibration
Content Type	Text
Resource Type	Article

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