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粉末冶金渦輪盤(pán)裂紋擴(kuò)展壽命可靠性敏度分析
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TB114.2

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國(guó)家自然科學(xué)基金(00853010),航天基金(N3CH0502,NSCH0001),陜西省自然科學(xué)基金(N3CS0501)資助


Sensitivity Analysis on Reliability for the Crack Growth Life of Powder Metallurgy Turbine Disk
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    摘要:

    結(jié)合粉末冶金材料含有非金屬夾雜裂紋的特點(diǎn),以裂紋擴(kuò)展壽命可靠性分析的剩余強(qiáng)度模型與壽命干涉模型為基礎(chǔ),建立了多夾雜裂紋擴(kuò)展的可靠性敏度分析模型。此模型首先給出了多個(gè)失效模式系統(tǒng)失效概率敏度與單夾雜裂紋擴(kuò)展壽命失效概率敏度之間的關(guān)系;采用一次二階矩敏度分析方法求出系統(tǒng)失效概率對(duì)綜合隨機(jī)變量分布參數(shù)與部分基本隨機(jī)變量分布參數(shù)的敏度:通過(guò)回歸分析與綜合隨機(jī)變量數(shù)字特征的性質(zhì),得到綜合隨機(jī)變量分布參數(shù)對(duì)相關(guān)基本隨機(jī)變量分布參數(shù)的敏度,最終得到系統(tǒng)失效概率對(duì)所有基本隨機(jī)變量分布參數(shù)的敏度。采用所建敏度模型計(jì)算了某型發(fā)動(dòng)機(jī)粉末冶金渦輪盤(pán)裂紋擴(kuò)展壽命失效概率對(duì)基本變量分布參數(shù)的敏度,通過(guò)對(duì)計(jì)算結(jié)果的分析,得到了在給定參數(shù)情況下影響粉末冶金渦輪盤(pán)系統(tǒng)失效概率的最主要因素,指出了模型與參數(shù)之間的本質(zhì)聯(lián)系。剩余強(qiáng)度模型與壽命干涉模型可靠性敏度計(jì)算結(jié)果一致性,以及定量計(jì)算與定性分析結(jié)果的一致性,說(shuō)明了本研究方法是合理可行的。

    Abstract:

    Based on residual strength interference model and life interference model, a sensitivity analysis method on reliability was proposed for the fatigue crack growth life of powder metallurgy materials. The characteristics were considered on the multiple inclusions in the powder metallurgy materials, especially on the sensitivity analysis method. The relationship of sensitivity for the system failure probability was firstly constructed between multiple failure modes and single failure mode. The advanced method of first order and second moment was employed to calculate the partial derivatives of the system failure probability for the distribution parameters of the process variables and some basic variables. Then by use of regression analysis and numerical property of process variables, the sensitivities of parameters were derived for the process variables and basic variables. Finally, the sensitivities of system failure probability to the distribution parameters of the total basic variables were obtained. Then the proposed reliability sensitivity model was applied to a powder metallurgy turbine disk. The reliability sensitivity results show that the system failure probability of the turbine disk is significantly influenced by the crack growth coefficient c1 of Paris law at a given condition, and the essential relationship is clarified between the model and the distribution parameters. It is proved that the model might supply guidance to the design of powder metallurgy turbine disks. The calculated results were consistent each other with the residual strength interference model and the life interference model, and showed the feasibility of the proposed analysis method from the good agreement between the quantity calculation and the quality analysis.

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劉成立 呂震宙 徐有良.粉末冶金渦輪盤(pán)裂紋擴(kuò)展壽命可靠性敏度分析[J].稀有金屬材料與工程,2006,35(5):761~765.[. Sensitivity Analysis on Reliability for the Crack Growth Life of Powder Metallurgy Turbine Disk[J]. Rare Metal Materials and Engineering,2006,35(5):761~765.]
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  • 收稿日期:2005-02-20
  • 最后修改日期:2005-02-20
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