在可靠性系统中依赖于相互竞争的故障过程
Jewgeni H Dshalalow1, Hend Aljahani1, Ryan T White1
1Department of Mathematical Science, College of Engineering and Science, Florida Institute of Technology, Melbourne, FL 32901, USA.
这项研究模拟了三种冲击类型下的系统可靠性:无害,关键和极端. 它为系统故障提供了一个封闭形式的分布,这对于可靠性工程至关重要.
科学领域:
- 可靠性工程可靠性工程
- 随机过程 随机过程
- 系统动力学系统动力学
背景情况:
- 复杂的系统面临来自各种冲击类型的多种故障模式.
- 了解竞争中的故障过程对于准确的可靠性评估至关重要.
- 现有的模型可能无法捕捉不同冲击强度和时间的相互作用.
研究的目的:
- 为受到三种不同的冲击类型的系统开发一个全面的可靠性模型.
- 为了获得关闭形式的关联分布,用于关键系统故障特征.
- 为了分析具有限制冲击滞后条件的修改系统.
主要方法:
- 将系统建模为一个通用的随机步行过程.
- 使用一种先进的离散运算微积分方法.
- 采用蒙特卡洛模拟进行验证.
主要成果:
- 得到一个封闭形式的联合分布的时间到故障,冲击计数,和累积损坏.
- 系统的可靠性函数是从故障时间的边际分布中得出的.
- 演示了衍生式的分析可处理性.
结论:
- 该研究为具有竞争性故障冲击过程的系统提供了强大的分析框架.
- 衍生式为系统可靠性和故障特征提供了精确的预测.
- 模型的有效性通过模拟得到证实,提高其实际适用性.
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