本文關(guān)鍵詞： 壓氣機(jī)葉片 振動(dòng)綜合可靠性 模糊可靠性 響應(yīng)面—蒙特卡洛模擬 二次回歸正交組合設(shè)計(jì) 可靠性試驗(yàn)　出處：《南京航空航天大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：壓氣機(jī)葉片是航空發(fā)動(dòng)機(jī)中的重要部件,它能否安全可靠的工作至關(guān)重要,受到各種隨機(jī)因素的影響,它的振動(dòng)特性和響應(yīng)往往也會(huì)出現(xiàn)隨機(jī)性,需要采用概率統(tǒng)計(jì)的方法對這些隨機(jī)因素、振動(dòng)特性和響應(yīng)進(jìn)行研究,即壓氣機(jī)葉片的振動(dòng)可靠性研究;常規(guī)的確定性分析以及可靠性分析都是在確定性數(shù)學(xué)的領(lǐng)域進(jìn)行的研究,而事物的本身是具有模糊性的,壓氣機(jī)葉片的振動(dòng)可靠性問題亦然;同時(shí),葉片振動(dòng)可靠性研究中還存在著缺少試驗(yàn)研究的問題。在這樣的背景下,文中開展的研究內(nèi)容主要有以下幾點(diǎn):首先,系統(tǒng)地總結(jié)了葉片振動(dòng)綜合可靠性的研究現(xiàn)狀與存在的問題,考慮共振與振幅過載,將壓氣機(jī)葉片振動(dòng)綜合可靠性分為壓氣機(jī)葉片的抗共振可靠性和抗振幅過載可靠性,采用了響應(yīng)面—蒙特卡洛模擬的方法,建立了壓氣機(jī)葉片振動(dòng)綜合可靠性分析模型與方法,此外,基于模糊可靠性理論,考慮到共振準(zhǔn)則的模糊性以及振幅過載準(zhǔn)則的模糊性,引入相應(yīng)類型的隸屬函數(shù),建立了葉片振動(dòng)綜合模糊可靠性分析模型。開展了葉片振動(dòng)可靠性的試驗(yàn),根據(jù)葉片特征尺寸的分布擬合結(jié)果以及實(shí)際加工的精度限制,并基于二次回歸正交組合試驗(yàn)設(shè)計(jì)法設(shè)計(jì)了試驗(yàn)點(diǎn),進(jìn)行葉片抗共振可靠性試驗(yàn)和葉片抗振幅過載可靠性試驗(yàn);采用逐步檢驗(yàn)并剔除不明顯變量的回歸擬合技術(shù)對試驗(yàn)數(shù)據(jù)進(jìn)行處理,得到振動(dòng)可靠性功能函數(shù)的響應(yīng)面,并對它們進(jìn)行了蒙特卡洛模擬,獲得試驗(yàn)條件下的葉片振動(dòng)可靠性。開展了模型驗(yàn)證工作:可靠性數(shù)值分析結(jié)果與試驗(yàn)結(jié)果相吻合,驗(yàn)證了本文所建立的可靠性分析模型與方法的有效性;模糊可靠性數(shù)值分析結(jié)果與試驗(yàn)結(jié)果不僅吻合較好,且在考慮共振及振幅過載準(zhǔn)則模糊性的情況下,計(jì)算精度優(yōu)于不考慮模糊的情況。
[Abstract]:Compressor blade is an important component in aero-engine. It is very important to work safely and reliably. Due to various random factors, its vibration characteristic and response often appear randomness. The probabilistic statistical method is needed to study these random factors, vibration characteristics and responses, that is, the vibration reliability of compressor blades. The conventional deterministic analysis and reliability analysis are both carried out in the field of deterministic mathematics, and the thing itself is fuzzy, so is the vibration reliability of compressor blade. There are still some problems in the research of blade vibration reliability. Under this background, the main contents of this paper are as follows: first, In this paper, the research status and existing problems of comprehensive reliability of blade vibration are summarized systematically. Considering resonance and amplitude overload, the comprehensive reliability of compressor blade vibration is divided into anti-resonance reliability of compressor blade and anti-amplitude overload reliability. Using the method of response surface-Monte Carlo simulation, the comprehensive reliability analysis model and method of compressor blade vibration are established. In addition, based on fuzzy reliability theory, the fuzziness of resonance criterion and amplitude overload criterion are considered. The fuzzy reliability analysis model of blade vibration is established by introducing the corresponding membership function, and the test of blade vibration reliability is carried out. According to the distribution of blade characteristic size and the precision of actual machining, Based on the design method of quadratic regression orthogonal combination test, the test points were designed, and the reliability tests of blade anti-resonance reliability and blade anti-amplitude overload reliability were carried out. The test data were processed by stepwise test and elimination of unobvious variables, and the response surface of the function function of vibration reliability was obtained, and Monte Carlo simulation was carried out on them. The reliability of the blade vibration under the test condition is obtained. The model verification work is carried out: the reliability numerical analysis results are in agreement with the test results, and the validity of the reliability analysis model and method established in this paper is verified. The results of fuzzy reliability numerical analysis are in good agreement with the experimental results, and the calculation accuracy is better than that without considering the fuzziness of resonance and amplitude overload criterion.
【學(xué)位授予單位】：南京航空航天大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：V232.4

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本文編號(hào)：1500219