本文選題：圓柱滾動體軸承　切入點：滾動體修形　出處：《大連理工大學(xué)》2013年碩士論文　論文類型：學(xué)位論文

【摘要】：本課題來源于國家自然科學(xué)基金(No.51005031)的資助。 圓柱滾動體軸承通常用于重載或者高精度的工作場所,而圓柱滾動體軸承極易因端部邊緣效應(yīng)出現(xiàn)失效。因此,需要對圓柱滾動體母線進行凸度設(shè)計,其主要目的是通過對滾動體母線進行修形來改善滾動體與滾道之間的接觸狀況,從而避免軸承的過早失效。本文在接觸分析的基礎(chǔ)上針對圓柱滾動體軸承的修形方式、凸度量大小以及滾動體修形之后對軸承的力學(xué)性能影響等方面做了研究。 首先,用切片的方式和影響系數(shù)法建立了有限長線接觸問題求解的數(shù)學(xué)模型,利用該模型對軸承的滾動體在四種常見修形方式下的凸度量、接觸應(yīng)力和接觸彈性趨近量進行計算。并用有限元方法對接觸結(jié)果進行了驗證,并基于該計算模型對對數(shù)母線方程的參數(shù)進行了優(yōu)化設(shè)計。 其次,計算了滾動體在不同修形方式、不同外載下與內(nèi)外圈彈性趨近量的大小,對計算得到的數(shù)據(jù)用指數(shù)函數(shù)進行數(shù)據(jù)擬合,得到不同修形方式滾動體與內(nèi)外圈接觸的載荷-變形量函數(shù)變化關(guān)系式,根據(jù)該關(guān)系式推導(dǎo)得到不同修形方式下的滾動體與套圈接觸剛度表達式。 然后,將滾動體接觸剛度帶入到軸承載荷分布計算模型,計算得到圓柱滾動體母線修形軸承的載荷分布情況,分析了圓柱滾動體修形軸承在零游隙、正游隙和負游隙下修形方式對載荷分布的影響。然后計算軸承在不同滾動體修形方式、不同凸度量大小、不同外載下的內(nèi)外圈彈性趨近量大小,繪制軸承載荷-彈性趨近量曲線,分析滾動體修形方式和凸度大小對軸承剛度性能的影響。 最后,對于圓柱滾動體軸承內(nèi)外圈發(fā)生傾斜的工況條件,建立了傾斜狀態(tài)下的滾動體與內(nèi)外圈接觸計算模型,利用該模型計算分析傾斜角度、修形方式、修形量大小對滾動體接觸的影響。針對傾斜滾動體偏載效應(yīng)通過傳統(tǒng)的修形方式難以消除的問題設(shè)計了滾動體非對稱的修形曲線,用一次函數(shù)來消除偏載效應(yīng),用指數(shù)函數(shù)來消除邊緣效應(yīng)。計算結(jié)果顯示,經(jīng)過非對稱修形之后的滾動體接觸應(yīng)力分布得到很好地改善。
[Abstract]:This topic comes from the National Natural Science Foundation No. 51005031). Cylindrical rolling body bearings are usually used in heavy duty or high precision workplaces, and cylindrical rolling body bearings are prone to failure due to the end edge effect. Therefore, the crown design of the cylindrical rolling body busbar is required. The main purpose of this paper is to improve the contact condition between the rolling body and the raceway by modifying the rolling body busbar, so as to avoid the premature failure of the bearing. The convex metric and the effect of roll modification on the mechanical properties of bearing are studied. Firstly, a mathematical model for solving finite length linear contact problem is established by means of slice method and influence coefficient method. The contact stress and contact elastic approach are calculated, and the contact results are verified by finite element method, and the parameters of logarithmic generatrix equation are optimized based on the model. Secondly, the magnitude of the elastic approach between the rolling body and the inner and outer circle under different modification modes and external loads is calculated, and the calculated data are fitted with the exponential function. The load-deformation function variation formula of the contact between the rolling body and the inner and outer ring with different modification modes is obtained, and the contact stiffness expression between the rolling body and the ring under different modification modes is derived according to this relationship. Then, the contact stiffness of the rolling body is brought into the bearing load distribution calculation model, and the load distribution of the cylindrical rolling body busbar modified bearing is calculated, and the zero clearance of the cylindrical rolling body modified bearing is analyzed. The influence of positive clearance and negative clearance modification on the load distribution, and then calculate the elastic approach of the inner and outer ring under different rolling body shape modification, different convex metric and different external load, and then calculate the influence of positive clearance and negative clearance modification on the load distribution, and then calculate the elastic approach of the inner and outer ring under different rolling body shape modification. The load-elastic approach curve of the bearing is drawn, and the influence of the shape modification of the rolling body and the size of the crown on the stiffness performance of the bearing is analyzed. Finally, for the working condition that the inner and outer ring of cylindrical rolling body bearing is inclined, the contact calculation model between the rolling body and the inner and outer ring is established, and the angle and shape modification mode are calculated and analyzed by using the model. The influence of shape modification on the contact of rolling body. Aiming at the problem that the deflection effect of tilted rolling body is difficult to be eliminated by traditional modification method, an asymmetrical modification curve of rolling body is designed, and the offset effect is eliminated by the first order function. The numerical results show that the contact stress distribution of the rolling body after asymmetric modification can be well improved by using the exponential function to eliminate the edge effect.
【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2013
【分類號】：TH133.332

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