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端面扭动统计摩擦模型研究

发布时间:2019-05-09 06:15
【摘要】:本文利用两球体的摩擦接触接触模型(CEB、KE和BKE模型)建立了考虑相邻微凸体间的相互作用的粗糙表面微凸体接触的摩擦模型。使用概率分布方法对粗糙面的表面特征进行了描述,基于微凸体高度及切向位移对微凸体的滑移机制进行了定义,利用统计求和的方法将微凸体尺度摩擦接触扩展到了宏观尺度粗糙面接触往复滑动摩擦接触。对接触端面进行了微分,对往复滑动摩擦模型进行了修改使其能够适用于每一个微分区域,利用统计求和的方法建立了端面扭动摩擦模型。利用建立的端面扭动摩擦模型对MC尼龙-45#钢的端面扭动摩擦行为进行了模拟研究,并且对表面粗糙度、正压力、名义接触面积的变化对端面扭动摩擦行为的影响进行了模拟研究。使用自制的端面扭动摩擦试验机为基础,试验研究了MC尼龙-45#钢、黄铜-45#钢及45#钢-45#钢的端面扭动摩擦行为,对摩擦模型的预测准确性进行了试验验证。取得的主要结论如下:1、利用BKE接触模型建立的微凸体尺度摩擦模型能够适应更大的法向变形量,具有更好的适用性。2、往复滑动摩擦模型中,往复行程决定了F-δ(摩擦力-位移)曲线形状(椭圆、平行四边形或者矩形),初始完全滑移位置(摩擦力首次达到最大值的位置)不受往复行程的影响。表面粗糙度对F-δ曲线形状及初始完全滑移位置没有影响,随着粗糙度的减小(小于Ra1.6)摩擦力增大较快,粗糙度大于Ra1.6时,摩擦力有增大趋势。摩擦力与正压力成线性关系,摩擦力随正压力的增大而增大,正压力变化对F-δ曲线形状及初始完全滑移位置没有影响。3、端面扭动摩擦模型以接触材料力学特性、粗糙度参数、角位移、正压力为输入参数,模拟粗糙表面端面扭动接触,输出T-(摩擦扭矩-角位移)曲线。利用微凸体滑移状态判定公式及微凸体高度分布函数可以计算出滑移微凸体比例随角位移的变化关系及接触端面在不同角位移下的完全滑移半径。4、随着接触半径(名义接触面积)增大最大扭矩呈线性增大,接触界面发生初始完全滑移时接触微凸体滑移比例和完全滑移半径均增大。过大或者过小的表面粗糙度都会使最大扭矩增大,但表面粗糙度的改变对接触界面的滑移机制、初始完全滑移位置、完全滑移半径、接触微凸体滑移比例均没有影响。接触压力的变化不会影响接触的滑移机制及初始完全滑移位置,但对最大扭矩有很大影响,最大扭矩随着接触压力的增大呈线性增大。此外,正压力的变化对发生初始完全滑移时接触微凸体的滑移比例及完全滑移半径没有影响。
[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.
【学位授予单位】:中国矿业大学
【学位级别】:硕士
【学位授予年份】:2016
【分类号】:TH117

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