本文選題：鋼絲滾道球軸承　切入點(diǎn)：非協(xié)調(diào)性Herz接觸　出處：《哈爾濱工業(yè)大學(xué)》2012年碩士論文　論文類型：學(xué)位論文

【摘要】：作為一種非標(biāo)準(zhǔn)軸承，鋼絲滾道球軸承具有剛/慣比大、回轉(zhuǎn)精度高、抗傾覆能力強(qiáng)以及結(jié)構(gòu)設(shè)計(jì)靈活等特點(diǎn)，因此，被廣泛地應(yīng)用于大型雷達(dá)天線、飛行器仿真轉(zhuǎn)臺(tái)和醫(yī)療器械等精密裝備。它能承受軸向載荷、徑向載荷、傾覆力矩及其組成的復(fù)合載荷，但外部載荷往往會(huì)在鋼絲滾道表面形成循環(huán)交變接觸應(yīng)力，導(dǎo)致磨損、點(diǎn)蝕產(chǎn)生，甚至剪切失效，嚴(yán)重影響設(shè)備的正常運(yùn)轉(zhuǎn)。因此，對(duì)軸承載荷分布和剛度的研究十分有必要。 首先，本文研究了軸承預(yù)緊量與接觸載荷、接觸變形之間的關(guān)系，在預(yù)緊接觸變形的基礎(chǔ)上，根據(jù)非協(xié)調(diào)性Herz接觸理論、余弦定理和洛必達(dá)法則，建立了軸向載荷、徑向載荷及傾覆力矩載荷對(duì)應(yīng)的載荷分布模型。以某型號(hào)飛行器仿真轉(zhuǎn)臺(tái)中的鋼絲滾道球軸承為實(shí)例，運(yùn)用MATLAB編程求解載荷分布模型，得到了載荷分布規(guī)律、最大接觸力，分析了鋼球數(shù)目及軸承接觸角對(duì)最大接觸力的影響。 其次，本文在軸承載荷分布特性研究的基礎(chǔ)上，根據(jù)疊加原理和剛度的定義，，建立了五自由度復(fù)合載荷作用下，鋼絲滾道球軸承剛度矩陣數(shù)學(xué)模型，推導(dǎo)剛度矩陣的表達(dá)式，提出了剛度矩陣數(shù)值計(jì)算方法，以某型號(hào)飛行器仿真轉(zhuǎn)臺(tái)中的軸承為例，給出了剛度矩陣數(shù)值結(jié)果。 最后，為了驗(yàn)證軸承剛度矩陣數(shù)學(xué)模型的正確性，設(shè)計(jì)了軸承剛度實(shí)驗(yàn)測(cè)量方案，搭建了軸承軸向剛度、徑向剛度及翻轉(zhuǎn)剛度實(shí)驗(yàn)測(cè)量系統(tǒng)。實(shí)驗(yàn)中，測(cè)量不同外部載荷對(duì)應(yīng)的軸承內(nèi)外環(huán)框架之間的相對(duì)位移，根據(jù)剛度的定義得到剛度實(shí)驗(yàn)結(jié)果。理論與實(shí)驗(yàn)結(jié)果對(duì)比表明：隨著載荷的增大，軸向剛度、徑向剛度略微減小，徑向剛度近似線性的增大，框架變形、塑形變形及加載方式對(duì)軸承剛度實(shí)驗(yàn)影響較大，實(shí)驗(yàn)研究將為工程實(shí)際應(yīng)用提供參數(shù)依據(jù)。
[Abstract]:As a kind of non-standard bearing, steel wire raceway ball bearing is widely used in large radar antenna because of its high rigid / inertial ratio, high rotary precision, strong capsizing resistance and flexible structure design. It can withstand axial load, radial load, overturning moment and its composition compound load, but external load will often form cyclic alternating contact stress on the surface of steel wire raceway, resulting in wear. Pitting, even shear failure, seriously affect the normal operation of the equipment. Therefore, it is necessary to study the load distribution and stiffness of bearings. First of all, the relationship between bearing preload and contact load and contact deformation is studied. On the basis of pretightening contact deformation, axial load is established according to non-conforming Herz contact theory, cosine theorem and Lopida rule. The load distribution model corresponding to radial load and overturning moment load. Taking the steel wire raceway ball bearing in the simulation turntable of a certain type of aircraft as an example, the load distribution model is solved by MATLAB programming, and the law of load distribution and the maximum contact force are obtained. The influence of ball number and bearing contact angle on maximum contact force is analyzed. Secondly, on the basis of the research of bearing load distribution characteristics, according to the superposition principle and the definition of stiffness, the mathematical model of stiffness matrix of steel wire raceway ball bearing under the action of five degrees of freedom composite load is established, and the expression of stiffness matrix is deduced. The numerical method of stiffness matrix is presented. The numerical results of stiffness matrix are given by taking the bearing in the simulation turntable of a certain type of aircraft as an example. Finally, in order to verify the correctness of the mathematical model of bearing stiffness matrix, the experimental measurement scheme of bearing stiffness is designed, and the experimental measurement system of axial stiffness, radial stiffness and turnover stiffness of bearing is built. The relative displacement between the inner and outer ring frames corresponding to different external loads is measured and the experimental results of stiffness are obtained according to the definition of stiffness. The theoretical and experimental results show that the axial stiffness and radial stiffness decrease slightly with the increase of load. The linear increase of radial stiffness, frame deformation, plastic deformation and loading mode have great influence on the bearing stiffness experiment. The experimental research will provide the parameter basis for practical engineering application.
【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2012
【分類號(hào)】：TH133.3

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