摘要
为了提升平面正弦钢球传动机构的接触性能,根据平面正弦钢球传动机构的几何特点和活齿钢球的实际工况,将主动圆盘、从动圆盘与钢球的接触形式转化为球体半圆轨道接触问题进行研究,结合Hertz理论和分形理论建立了干摩擦状态下平面正弦钢球传动机构接触面法向接触刚度的分形模型,以此为基础得到润滑液的接触刚度模型,确定了混合润滑状态下接触面法向接触刚度分形模型。通过Matlab仿真分析相关参数对接触面法向接触刚度的影响。结果表明,分形维数D影响着主动圆盘钢球接触面法向接触刚度与法向载荷的关系,以D=1.5为界限,其规律前后差异性表现尤为显著;在其他参数保持不变时,接触面法向接触刚度与分形维数D、材料特性参数φ均呈递增关系,与粗糙度幅值G呈递减关系;润滑液的接触刚度受材料自身特性的影响,且有润滑作用时接触面法向接触刚度明显提升。
In order to improve the contact performance of planar sinusoidal steel ball drive mechanism,according to the geometric characteristics of planar sinusoidal steel ball drive mechanism and the actual working conditions of movable tooth steel ball,the contact form of the active disk,the driven disk and the steel ball was transformed into sphere-semicircle track contact problem for research.Combined Hertz theory with fractal theory,the fractal model of normal contact stiffness of contact surface of planar sinusoidal steel ball drive mechanism under the dry friction state wasestablished,based on which the contact stiffness model of lubricating fluid was obtained,and the fractal model of normal contact stiffness of contact surface under mixed lubrication state was determined.The influence of relevantparameters on normal contact stiffness of contact surface was analyzed by Matlab simulation.The results show that the fractal dimension D affects the relationship between the normal contact stiffness and the normal load of the active disk-ballcontact surface.Taking D=1.5 as the boundary,the difference before and after the law is particularly significant.When other parameters remain unchanged,the normal contact stiffness of contact surface increases with the fractal dimension D and material characteristic parameterφ,but decreases with the roughness amplitude G.The contact stiffness of lubricating fluid is affected by the characteristics of the material itself,and the normal contact stiffness of the contact surfaceincreases obviously with lubrication.
作者
李美求
陶文杰
郑瑞波
宁林飞
华剑
LI Meiqiu;TAO Wenjie;ZHENG Ruibo;NING Linfei;HUA Jian(Institute of Strength and Vibration of Mechanical Structures,Yangtze University,Jingzhou 434023,Hubei;Jianghan Production Plant of Sinopec Jianghan Oilfield Company,Qianjiang 433123,Hubei)
出处
《长江大学学报（自然科学版）》
2022年第5期81-90,105,共11页
Journal of Yangtze University(Natural Science Edition)
基金
国家重点研发计划项目“水下生产系统智能控制关键技术研究”(2016YFC0303703)。
关键词
平面正弦
分形模型
弹塑性变形
润滑
法向接触刚度
plane sine
fractal model
elastic-plastic deformation
lubrication
normal contact stiffness
