【摘要】：本文利用兩球體的摩擦接觸接觸模型(CEB、KE和BKE模型)建立了考慮相鄰微凸體間的相互作用的粗糙表面微凸體接觸的摩擦模型。使用概率分布方法對(duì)粗糙面的表面特征進(jìn)行了描述,基于微凸體高度及切向位移對(duì)微凸體的滑移機(jī)制進(jìn)行了定義,利用統(tǒng)計(jì)求和的方法將微凸體尺度摩擦接觸擴(kuò)展到了宏觀尺度粗糙面接觸往復(fù)滑動(dòng)摩擦接觸。對(duì)接觸端面進(jìn)行了微分,對(duì)往復(fù)滑動(dòng)摩擦模型進(jìn)行了修改使其能夠適用于每一個(gè)微分區(qū)域,利用統(tǒng)計(jì)求和的方法建立了端面扭動(dòng)摩擦模型。利用建立的端面扭動(dòng)摩擦模型對(duì)MC尼龍-45#鋼的端面扭動(dòng)摩擦行為進(jìn)行了模擬研究,并且對(duì)表面粗糙度、正壓力、名義接觸面積的變化對(duì)端面扭動(dòng)摩擦行為的影響進(jìn)行了模擬研究。使用自制的端面扭動(dòng)摩擦試驗(yàn)機(jī)為基礎(chǔ),試驗(yàn)研究了MC尼龍-45#鋼、黃銅-45#鋼及45#鋼-45#鋼的端面扭動(dòng)摩擦行為,對(duì)摩擦模型的預(yù)測(cè)準(zhǔn)確性進(jìn)行了試驗(yàn)驗(yàn)證。取得的主要結(jié)論如下:1、利用BKE接觸模型建立的微凸體尺度摩擦模型能夠適應(yīng)更大的法向變形量,具有更好的適用性。2、往復(fù)滑動(dòng)摩擦模型中,往復(fù)行程決定了F-δ(摩擦力-位移)曲線形狀(橢圓、平行四邊形或者矩形),初始完全滑移位置(摩擦力首次達(dá)到最大值的位置)不受往復(fù)行程的影響。表面粗糙度對(duì)F-δ曲線形狀及初始完全滑移位置沒(méi)有影響,隨著粗糙度的減小(小于Ra1.6)摩擦力增大較快,粗糙度大于Ra1.6時(shí),摩擦力有增大趨勢(shì)。摩擦力與正壓力成線性關(guān)系,摩擦力隨正壓力的增大而增大,正壓力變化對(duì)F-δ曲線形狀及初始完全滑移位置沒(méi)有影響。3、端面扭動(dòng)摩擦模型以接觸材料力學(xué)特性、粗糙度參數(shù)、角位移、正壓力為輸入?yún)?shù),模擬粗糙表面端面扭動(dòng)接觸,輸出T-(摩擦扭矩-角位移)曲線。利用微凸體滑移狀態(tài)判定公式及微凸體高度分布函數(shù)可以計(jì)算出滑移微凸體比例隨角位移的變化關(guān)系及接觸端面在不同角位移下的完全滑移半徑。4、隨著接觸半徑(名義接觸面積)增大最大扭矩呈線性增大,接觸界面發(fā)生初始完全滑移時(shí)接觸微凸體滑移比例和完全滑移半徑均增大。過(guò)大或者過(guò)小的表面粗糙度都會(huì)使最大扭矩增大,但表面粗糙度的改變對(duì)接觸界面的滑移機(jī)制、初始完全滑移位置、完全滑移半徑、接觸微凸體滑移比例均沒(méi)有影響。接觸壓力的變化不會(huì)影響接觸的滑移機(jī)制及初始完全滑移位置,但對(duì)最大扭矩有很大影響,最大扭矩隨著接觸壓力的增大呈線性增大。此外,正壓力的變化對(duì)發(fā)生初始完全滑移時(shí)接觸微凸體的滑移比例及完全滑移半徑?jīng)]有影響。
[Abstract]:In this paper, using the friction contact model of two spheres (CEB,KE and BKE model), the friction model of rough surface micro-convex body contact considering the interaction between adjacent micro-convex bodies is established. The surface characteristics of the rough surface are described by the probability distribution method. The slip mechanism of the micro convex body is defined based on the height and tangential displacement of the micro convex body. The method of statistical summation is used to extend the micro convex body scale friction contact to the macro scale rough surface contact reciprocating sliding friction contact. The contact face is differentiated, and the reciprocating sliding friction model is modified so that it can be applied to each differential region. The torsional friction model of the end face is established by using the method of statistical summation. The end torsional friction behavior of MC nylon-45 # steel was simulated by using the end torsional friction model, and the surface roughness and positive pressure of the end face were also studied, and the friction behavior of the end face of Nylon-45 # steel was simulated. The influence of nominal contact area on torsional friction behavior of end face is simulated. The end-face torsional friction behavior of MC nylon-45# steel, brass-45# steel and 45# steel-45# steel was studied by using a self-made end-face torsional friction tester. The prediction accuracy of the friction model was verified by experiments. The main conclusions are as follows: 1. The microconvex friction model established by BKE contact model can adapt to the larger normal deformation and has better applicability. 2, in the reciprocating sliding friction model, The reciprocating stroke determines the shape of F未 (friction displacement) curve (elliptical, parallelogram or rectangle). The initial complete slip position (the position where the friction force reaches the maximum for the first time) is not affected by the reciprocating stroke. The surface roughness has no effect on the shape of F-未 curve and the initial complete slip position. With the decrease of roughness (less than Ra1.6), the friction force increases rapidly, and when the roughness is larger than Ra1.6, the friction force tends to increase. The friction force is linearly related to the positive pressure, and the friction force increases with the increase of the positive pressure. The change of the positive pressure has no effect on the shape of the F-未 curve and the initial complete slip position. 3. The torsional friction model of the end face is used to contact the mechanical properties of the material. Roughness parameters, angular displacement and positive pressure are input parameters to simulate torsional contact of rough surface and output T-(friction torque-angular displacement) curve. By using the formula for judging the slip state of the micro-convex body and the height distribution function of the micro-convex body, the relationship between the proportion of the slip micro-convex body and the angular displacement and the complete slip radius of the contact end face under different angular displacement can be calculated. The maximum torque increases linearly with the increase of contact radius (nominal contact area). Both the slip ratio and the complete slip radius of the micro-convex body increase with the initial complete slip of the contact interface. Too large or too small surface roughness will increase the maximum torque, but the change of surface roughness has no effect on the slip mechanism of the contact interface, the initial complete slip position, the complete slip radius and the slip ratio of the contact microconvex body. The change of contact pressure has no effect on the slip mechanism and initial complete slip position, but has a great influence on the maximum torque. The maximum torque increases linearly with the increase of contact pressure. In addition, the change of the positive pressure has no effect on the slip ratio and the complete slip radius of the contact micro-convex body when the initial complete slip occurs.
【學(xué)位授予單位】：中國(guó)礦業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：TH117

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