Reliability Analysis of Degrading Elasto-Plastic Oscillatorsby Igor Rychlik, Univ of Lund, Sweden,
Mircea Grigoriu, Univ of Lund, Sweden,
Abstract: A method is developed for calculating the probability (reliability) that the total plastic displacement of an elasto-plastic oscillator does not exceed a critical level during a reference period. The oscillator has a degrading stiffness and is subject to a Gaussian white noise. The reliability can be obtained from the absorption probability of a two-dimensional Markov chain associated with the oscillator. The analysis simplifies significantly when the plastic excursions are rare.
Subject Headings: Oscillations | Elastoplasticity | Plastics | Stiffening | Gaussian process | Markov process
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