深溝球軸承的應(yīng)力分析及強(qiáng)度可靠性研究
本文選題:接觸分析 切入點(diǎn):可靠性 出處:《東北大學(xué)》2014年碩士論文 論文類型:學(xué)位論文
【摘要】:動(dòng)力伺服刀架是車削加工中心的關(guān)鍵部件,直接負(fù)責(zé)更換刀具和切削工件,其可靠性尤其重要。深溝球軸承作為動(dòng)力伺服刀架轉(zhuǎn)位和動(dòng)力模塊的重要支撐部件,其可靠性對(duì)刀架的可靠性影響很大,并且深溝球軸承是應(yīng)用最廣泛的軸承,所以對(duì)它的應(yīng)力及可靠性的研究意義重大。本文以有限元分析軟件ANSYS和科學(xué)計(jì)算軟件MATLAB為平臺(tái),分析載荷一定時(shí)深溝球軸承外圈最大剪應(yīng)力隨過(guò)盈量的變化規(guī)律,依據(jù)軸承公差及特定工況的負(fù)載特征計(jì)算深溝球軸承的可靠度和可靠性靈敏度,最后利用零件聯(lián)合概率密度函數(shù)建立系統(tǒng)疲勞可靠性模型,計(jì)算滾動(dòng)軸承支撐系統(tǒng)疲勞可靠度。具體工作內(nèi)容如下:(1)利用ANSYS有限元分析軟件建立接觸和過(guò)盈配合有限元模型,將計(jì)算結(jié)果與相應(yīng)的理論對(duì)比,兩者結(jié)果吻合良好。之后提取分析結(jié)果,用MATLAB處理結(jié)果數(shù)據(jù),得出了當(dāng)軸承外載荷一定時(shí),最大剪應(yīng)力隨過(guò)盈量的變化規(guī)律。(2)考慮軸承設(shè)計(jì)尺寸在制造公差范圍內(nèi)的變動(dòng)量、載荷的隨機(jī)性,通過(guò)拉丁超立方抽取和有限元分析計(jì)算相結(jié)合,獲得了軸承最大剪應(yīng)力試驗(yàn)樣本數(shù)據(jù)。利用樣本以BP神經(jīng)網(wǎng)絡(luò)訓(xùn)練,得到了軸承負(fù)載、設(shè)計(jì)尺寸與最大應(yīng)力的非線性映射函數(shù)。(3)利用均值一次二階矩法、改進(jìn)一次二階矩法和蒙特卡羅方法,對(duì)軸承進(jìn)行了可靠度及可靠性靈敏度分析,對(duì)比三種方法計(jì)算的結(jié)果,分析了軸承可靠度對(duì)哪些尺寸較敏感,進(jìn)而得到了影響軸承可靠性指標(biāo)參數(shù)的重要度排序。(4)利用零件的聯(lián)合概率密度函數(shù)建立能夠計(jì)算由不同零件組成的系統(tǒng)的共因失效疲勞可靠性模型,與已有的共因失效疲勞可靠性模型相比,更能體現(xiàn)出系統(tǒng)的特性,并且適應(yīng)范圍更廣。之后利用該模型計(jì)算了軸承支撐系統(tǒng)的疲勞可靠度。本文對(duì)深溝球軸承的應(yīng)力及強(qiáng)度可靠性進(jìn)行了深入研究,為深溝球軸承的應(yīng)力分析、可靠性設(shè)計(jì)和可靠性預(yù)測(cè)提供了理論基礎(chǔ),進(jìn)而為軸承尺寸優(yōu)化、軸承裝配設(shè)計(jì)、可靠性優(yōu)化設(shè)計(jì)和可靠性穩(wěn)健設(shè)計(jì)奠定基礎(chǔ)。
[Abstract]:Power servo tool holder is the key part of turning center, which is directly responsible for replacing cutting tool and cutting workpiece, its reliability is especially important. Deep groove ball bearing is an important supporting part of power servo tool holder and power module. Its reliability has great influence on the reliability of the tool holder, and the deep groove ball bearing is the most widely used bearing, so it is of great significance to study its stress and reliability. In this paper, the finite element analysis software ANSYS and the scientific calculation software MATLAB are taken as the platform. The law of the maximum shear stress of the outer ring of the deep groove ball bearing with interference is analyzed when the load is fixed, and the reliability and reliability sensitivity of the deep groove ball bearing are calculated according to the bearing tolerance and the load characteristics of the specific working condition. Finally, the fatigue reliability model of rolling bearing bracing system is established by using the joint probability density function of parts, and the fatigue reliability of rolling bearing bracing system is calculated. The specific work is as follows: 1) the contact and interference fit finite element models are established by using ANSYS finite element analysis software. The calculated results are in good agreement with the corresponding theories. Then, the analysis results are extracted and processed by MATLAB, and the results are obtained when the external load of the bearing is fixed. Considering the variation of bearing design size in the range of manufacturing tolerance and the randomness of load, the maximum shear stress is combined with Latin hypercube extraction and finite element analysis. The sample data of bearing maximum shear stress test are obtained. The bearing load is obtained by BP neural network training, and the nonlinear mapping function of design size and maximum stress is obtained by means of the mean first order second order moment method. The reliability and reliability sensitivity of bearings are analyzed by improving the first order second moment method and Monte Carlo method. By comparing the results of the three methods, it is analyzed which dimensions are more sensitive to the reliability of bearings. Then the importance ranking of bearing reliability index parameters is obtained. The joint probability density function of the parts is used to establish the common cause failure fatigue reliability model which can be used to calculate the system composed of different parts. Compared with the existing common cause failure fatigue reliability model, it can better reflect the characteristics of the system. Then the fatigue reliability of bearing support system is calculated by using the model. The stress and strength reliability of deep groove ball bearing is studied in this paper, which is the stress analysis of deep groove ball bearing. Reliability design and reliability prediction provide theoretical basis for bearing size optimization, bearing assembly design, reliability optimization design and reliability robust design.
【學(xué)位授予單位】:東北大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2014
【分類號(hào)】:TH133.3
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