旋转机械碰摩转子系统的可靠性灵敏度设
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Sensitivity Design for Rub-impact Rotor System of Rotating Machinery
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    摘要:

    在碰摩转子系统动力学方程的基础上,将可靠性设计理论与灵敏度分析方法相结合,应用随机摄动理论、Kronecker代数、四阶矩技术和矩阵微分理论,讨论了具有随机参数的转子系统碰摩的可靠性灵敏度问题,提出了转子系统可靠性灵敏度设计的数值方法,给出了碰摩转子系统随机参数统计特性可靠性灵敏度的变化规律,研究了转子系统随机参数统计特性的改变对碰摩转子系统可靠性的影响,为转子系统的可靠性设计提供了理论依据。数值算例表明,计算结果与通常的定性分析结果完全一致,验证了本文方法的有效性。

    Abstract:

    On the basis of rub-impact dynamics equation of rotor system with rub-impact fault, according with the reliability design theory and sensitivity analysis method, the reliability sensitivity analysis method of the rotor system with rub-impact was extensively discussed by applying the random perturbation theory, Kronecker algebra, the fourth moment technology and matrix calculus theory. A numerical method for reliability sensitivity design of rotor system with rubimpact was presented. The variation regularities for reliability sensitivity of random parameters statistics characteristic were obtained and the effects of random parameters statistics characteristic on reliability of the rotor system were studied. The presented method provided the theoretic basis for the reliability design of the rotor system with rub-impact. A numerical example demonstrates that the result of presented method is accord with the qualitative analysis, the proposed method is efficient and accurate.

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苏长青,张义民,李乐新,马辉.旋转机械碰摩转子系统的可靠性灵敏度设[J].农业机械学报,2009,40(6):194-198. Sensitivity Design for Rub-impact Rotor System of Rotating Machinery[J]. Transactions of the Chinese Society for Agricultural Machinery,2009,40(6):194-198.

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