International Society of Science and Applied Technologies |
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Analysis of Damage Induced by Two Types of Shocks | ||||
Author | Hiroaki Mohri
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Co-Author(s) | Jun-ichi Takeshita
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Abstract | In the literature of reliability theory, many studies have concentrated on single types of shock (e.g., aging). Previous studies have investigated the following cases. (1) When a shock of a given magnitude is applied to a unit, it immediately fails. (2) When the shocks are additive and the total shock magnitude is greater than K, a unit fails. (3) When the shocks are not additive, and the magnitude of a given shock is greater than K, the unit fails. In this paper, we suppose case (2). In addition, suppose two types of shocks are applied to a single unit (i.e., not a single shock type). Each type of shock occurs by a different stochastic process, and the respective magnitude of each type of shock shows a different probabilistic distribution. We perform damage analysis for a single unit when both types of event occur by general stochastic processes and both shock magnitudes follow general probabilistic distributions. Thus, we perform a detailed analysis while the events occur by Poisson processes and both shock magnitudes show different exponential distributions.
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Keywords | reliability theory, multiple types of shocks, multiple stochastic processes, additive shocks, damage analysis | |||
Article #: 24147 |
August 2-4, 2018 - Toronto, Ontario, Canada |