摘要
采用球形微凸体的赫兹接触理论和MB模型,对微接触点的稳态温升、瞬态温升进行了分析,得到了低速滑动区域内的分形区域实际接触面积温升概率分布密度的封闭形式表达式.分析结果说明:摩擦副表面粗糙度、最大弹性微接触点的面积、域扩展系数均随分形维数增加而减小,域分开系数随分形维数增加而线性增加.最大温升随分形维数增加而减小,总体上随实际接触面积增加而线性增加,还随分形粗糙度参数增加而增加.当温升增加时,受给定温升的微接触点数减小会导致实际接触面积的温升概率分布密度下降.考虑了各接触微凸体之间相互作用的瞬态温升效应,但计算表明在低速滑动区域可以不考虑其影响.
The microcontact steady-state and transient-state temperature rises were analyzed by adopting the Hertz contact theory for spherical asperity tips and MB model.A closed form expression for the probability distribution density of the temperature rise at the real contact area of a fractal domain was deduced for the slow sliding region.The analytical results indicate that all surface roughness of friction pair,area of the largest elastic microcontact and domain extension factor decrease with increasing fractal dimension;while domain division factor linearly increases with increasing fractal dimension.The maximum temperature rise decreases with increasing fractal dimension;while it generally linearly increases as the real contact area increases;and it also increases as the fractal roughness parameter increases.The decreasing portion of probability distribution density of the temperature rise at the real contact area occurs because the number of microcontacts subjected to a given temperature rise decreases as the temperature rise increases.The transient temperature rise effect of interactions between contacting asperities was examined;but the calculations show that its influence in the slow sliding region can not be considered.
出处
《三峡大学学报（自然科学版）》
CAS
2010年第2期65-71,共7页
Journal of China Three Gorges University：Natural Sciences
关键词
MB模型
分形维数
温升
接触点的尺寸分布
MB model
fractal dimension
temperature rise
size-distribution of contact spots
