本文選題：滾動(dòng)軸承 + 乏信息理論��； 參考：《河南科技大學(xué)》2012年碩士論文

【摘要】：滾動(dòng)軸承性能指標(biāo)中動(dòng)態(tài)性能非常重要，主要包括振動(dòng)和摩擦力矩。振動(dòng)會加速軸承內(nèi)部零部件的磨損與疲勞損壞，摩擦力矩是評價(jià)軸承運(yùn)轉(zhuǎn)靈活性的重要指標(biāo)。研究表明軸承振動(dòng)和摩擦力矩都具有不確定的強(qiáng)烈波動(dòng)和趨勢變化，且具有非線性特征，屬于概率分布和趨勢規(guī)律都未知的乏信息系統(tǒng)。這不利于振動(dòng)和摩擦力矩的動(dòng)態(tài)評估，因?yàn)閯?dòng)力學(xué)方程未知且難以找出確定的非線性模型。因此，如何對這種復(fù)雜的振動(dòng)和摩擦力矩進(jìn)行有效的評估分析成為亟待解決的問題。 本文首先用混沌理論進(jìn)行相空間重構(gòu)，使軸承性能時(shí)間序列的原始動(dòng)力學(xué)特征得到最優(yōu)恢復(fù)；然后基于相空間，用最大熵自助法分別建立當(dāng)前樣本和先驗(yàn)樣本的概率密度函數(shù)；再結(jié)合貝葉斯統(tǒng)計(jì)理論，建立軸承性能特征參數(shù)的動(dòng)態(tài)貝葉斯后驗(yàn)概率密度函數(shù)；最后提出軸承性能特征參數(shù)的點(diǎn)估計(jì)和區(qū)間估計(jì)方法等。至此，乏信息數(shù)學(xué)模型構(gòu)建完畢，依此就能有效地實(shí)現(xiàn)對軸承振動(dòng)和摩擦力矩的評估分析。 通過對四種不同損傷直徑的滾動(dòng)軸承振動(dòng)實(shí)驗(yàn)數(shù)據(jù)的評估研究，估計(jì)結(jié)果表明，振動(dòng)數(shù)據(jù)的樣本均值都能被估計(jì)區(qū)間完美地包絡(luò)，且估計(jì)結(jié)果和試驗(yàn)結(jié)果在數(shù)值上很接近。滾動(dòng)軸承振動(dòng)的平均不確定度與軸承損傷直徑的增大而增大。 最后對三種不同轉(zhuǎn)速的滾動(dòng)軸承摩擦力矩實(shí)驗(yàn)數(shù)據(jù)進(jìn)行評估研究，估計(jì)結(jié)果表明，，摩擦力矩?cái)?shù)據(jù)的樣本均值都能被估計(jì)區(qū)間完美地包絡(luò)，且估計(jì)結(jié)果和試驗(yàn)結(jié)果在數(shù)值上很接近。摩擦力矩的平均不確定度隨軸承轉(zhuǎn)速的增大而增大。 本論文研究所用到的基本理論和方法具有通用性和可行性。研究表明，本文所構(gòu)建的乏信息數(shù)學(xué)模型對滾動(dòng)軸承振動(dòng)和摩擦力矩的實(shí)驗(yàn)評估分析是正確可靠的，估計(jì)結(jié)果和試驗(yàn)結(jié)果在數(shù)值上很接近，滿足工程需要，從而為軸承性能的非線性動(dòng)力學(xué)特征演變評估奠定新的理論基礎(chǔ)。
[Abstract]:The dynamic performance of rolling bearing is very important, including vibration and friction moment. Vibration can accelerate the wear and fatigue damage of bearing internal parts. Friction torque is an important index to evaluate the bearing running flexibility. The results show that the vibration and friction torque of bearing have strong fluctuation and trend change with uncertainty, and have nonlinear characteristics, which belong to the lack of information system with unknown probability distribution and trend law. This is not conducive to the dynamic evaluation of vibration and friction moment because the dynamic equation is unknown and it is difficult to find a definite nonlinear model. Therefore, how to effectively evaluate and analyze the complex vibration and friction moment becomes an urgent problem. In this paper, the phase space is reconstructed by chaos theory, and the original dynamic characteristics of bearing performance time series are recovered optimally, then the probability density functions of current samples and prior samples are established by maximum entropy self-help method based on phase space. The dynamic Bayesian posteriori probability density function of bearing performance characteristic parameters is established based on Bayesian statistical theory. Finally, the point estimation and interval estimation methods of bearing performance characteristic parameters are proposed. So far, the mathematical model of lack of information has been constructed, so that the evaluation and analysis of bearing vibration and friction moment can be realized effectively. Based on the evaluation of the vibration experimental data of four kinds of rolling bearings with different damage diameters, the estimated results show that the sample mean values of the vibration data can be perfectly enveloped by the estimated interval, and the estimated results are very close to the experimental results. The average uncertainty of rolling bearing vibration increases with the increase of bearing damage diameter. Finally, the experimental data of friction torque of three rolling bearings with different rotational speeds are evaluated. The estimated results show that the sample mean values of friction torque data can be perfectly enveloped by the estimated interval. The estimated results are very close to the experimental results. The average uncertainty of friction torque increases with the increase of bearing speed. The basic theories and methods used in this paper are universal and feasible. The research shows that the mathematical model constructed in this paper is correct and reliable for the experimental evaluation and analysis of rolling bearing vibration and friction moment, and the estimated results are very close to the experimental results, which meet the engineering needs. Thus, a new theoretical basis is established for the evolution and evaluation of nonlinear dynamic characteristics of bearing performance.
【學(xué)位授予單位】：河南科技大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2012
【分類號】：TH133.33

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 賀利堅(jiān);黃厚寬;;一種基于灰色系統(tǒng)理論的分布式信任模型[J];北京交通大學(xué)學(xué)報(bào);2011年03期

2 夏新濤;陳士超;王長興;;基于GBM(1,1)的大型滾動(dòng)軸承摩擦力矩動(dòng)態(tài)評估與預(yù)報(bào)[J];軸承;2008年12期

3 徐強(qiáng);陳健云;李靜;范書立;;基于貝葉斯理論的大壩體系可靠度計(jì)算方法[J];大連理工大學(xué)學(xué)報(bào);2011年01期

4 程亮;童玲;;最大熵原理在測量數(shù)據(jù)處理中的應(yīng)用[J];電子測量與儀器學(xué)報(bào);2009年01期

5 管興胤;李真富;宋朝暉;;貝葉斯統(tǒng)計(jì)在測量數(shù)據(jù)擬合處理中的應(yīng)用[J];核電子學(xué)與探測技術(shù);2010年04期

6 夏新濤;陳曉陽;張永振;王中宇;柏有才;劉春浩;;滾動(dòng)軸承振動(dòng)的灰自助動(dòng)態(tài)評估與診斷[J];航空動(dòng)力學(xué)報(bào);2007年01期

7 王雅紅;夏新濤;王中宇;;基于乏信息系統(tǒng)的本征融合技術(shù)[J];航空動(dòng)力學(xué)報(bào);2008年08期

8 夏新濤;賈晨輝;王中宇;;滾動(dòng)軸承摩擦力矩的乏信息模糊預(yù)報(bào)[J];航空動(dòng)力學(xué)報(bào);2009年04期

9 趙敏榮,楊增選,張善文;貝葉斯假設(shè)檢驗(yàn)在模型驗(yàn)證中的應(yīng)用[J];航空計(jì)算技術(shù);2003年01期

10 王振朝;趙宇茜;趙晨;;在重構(gòu)相空間選取樣本的時(shí)間序列分形預(yù)測[J];計(jì)算機(jī)工程與應(yīng)用;2011年21期

相關(guān)博士學(xué)位論文 前1條

1 張湘平;小子樣統(tǒng)計(jì)推斷與融合理論在武器系統(tǒng)評估中的應(yīng)用研究[D];國防科學(xué)技術(shù)大學(xué);2003年

相關(guān)碩士學(xué)位論文 前2條

1 楊姝;激光混沌的相空間重構(gòu)研究[D];長春理工大學(xué);2008年

2 李憲東;基于最大熵原理的確定概率分布的方法研究[D];華北電力大學(xué)（北京）;2008年

本文編號：1895375