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融合寿命信息与多性能退化信息的元动作单元可靠性评估
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Reliability Assessment of Meta-action Unit Integrating Lifetime Information and Multi-performance Degradation Information
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    摘要:

    针对机床可靠性建模困难、可靠性数据匮乏等问题,从元动作单元出发,提出一种融合寿命信息与多性能退化信息的可靠性评估方法. 利用“功能—运动—动作”(function-motion-action,FMA)分解法将机床分解至最小运动单元,即元动作单元,机床的可靠性水平通过准确评估关键元动作单元的可靠性来保证. 建立随机效应下非线性Wiener过程的性能退化模型,刻画试验样本退化过程存在的个体差异性、共同属性以及退化过程的非线性,在此基础上针对退化数据不足的问题,利用贝叶斯方法建立融合失效寿命信息的可靠性模型. 考虑多性能退化失效相关性,基于Copula函数建立多性能退化可靠性评估模型,利用MCMC-Gibbs抽样算法实现参数估计. 以某型号数控滚齿机的蜗杆转动元动作单元为研究对象,通过实例分析以及验证对比表明所提可靠性评估方法的可行性和优越性.

    Abstract:

    To address the challenges of machine tool reliability modeling and the lack of reliability data, a reliability assessment method integrating lifetime information with multi-performance degradation information is proposed, starting from the basic motion units. Using the function-motion-action (FMA) decomposition method, the machine tool is broken down into its smallest motion units, i.e., the meta-action units. The reliability level of the machine tool is ensured by accurately assessing the reliability of the key elemental action units. A non-linear Wiener process model under random effects is developed to capture individual variations, shared characteristics, and non-linearity in degradation processes. To address limited degradation data, a reliability model incorporating failure life information is established using Bayesian methods. Finally, considering correlations among multiple performance degradation failures, a comprehensive reliability assessment model is formulated using the Copula function, with parameter estimation achieved via the MCMC-Gibbs sampling algorithm. Focusing on the worm gear rotation meta-action unit of a specific computerized numerical control gear hobbing machine, case studies and comparative analysis highlight the method’s feasibility and superiority.

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冉琰 ?,吉昱 ,朱晓 .融合寿命信息与多性能退化信息的元动作单元可靠性评估[J].湖南大学学报:自然科学版,2025,52(2):109~121

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  • 在线发布日期: 2025-03-04
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