中文摘要：

基于Hertz接触理论,在考虑运行工况引起的接触角变化和离心力的基础上,通过受力分析,建立了滚珠丝杠副的力平衡方程并提出一种计算滚珠丝杠副运转过程中接触变形的方法。以某型号滚珠丝杠副为例,分析了轴向载荷、丝杠转速、接触角和螺旋角对滚珠丝杠副接触特性的影响。分析结果表明,转速增大时丝杠侧的接触变形减小,螺母侧的接触变形增大,两侧接触角的差值增大,当转速增大到一定程度时,螺母侧的接触变形会大于丝杠侧;载荷越小,运转过程中接触角的变化越大,对接触变形的影响也较大;接触变形随接触角和螺旋角的增大而减小。

英文摘要：

Based on Hertz contact theory,a computational method of contact deformation in operating process of ball screws is established in terms of variable contact angles and the centrifugal force.Through the force balance equations,contact deformation in operating process is derived.Taking a ball screw as an example,the influence of its operating condition,contact angles and helix angle on contact characteristics is studied by numerical method.Analysis indicates that the contact deformation on the side of screw decreases and that of nut increases when the screw rotation speed increases and there exists a speed that the later is greater than the former.At the same time,the difference between contact angles increases.Variety of contact angles increase as the axial load decreases,which leads to higher influence on contact deformations.Contact deformations decrease as the contact angle and helix angle increase.