Reliability Analysis of Degrading Elasto-Plastic Oscillators

by Igor Rychlik, Univ of Lund, Sweden,
Mircea Grigoriu, Univ of Lund, Sweden,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


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 | Probability | Stiffening | Markov process | Gaussian process | Two-dimensional analysis

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