摘要
给出了一种计算三维滚珠旋压力的解析模型。根据滚珠轨迹对空间坐标进行旋转,简化了滚珠与工件的空间关系表达式;基于空间解析几何理论和旋压件为半无限体的假设,得到了滚珠与管坯的接触边界方程,并在各坐标平面上进行投影得到二维曲线,通过对曲线的积分计算各坐标平面内的接触区投影面积。变形区单位压力通过钢球压入空间半无限体时成形区的平均压力近似相等的假设给出,计算各旋压力分量和总旋压力;通过对旋压力轴向分量的理论计算结果与实验数据对比,表明给出的计算模型的准确性。
An analytical model is presented to calculate the 3D ball spinning force.The spatial relation expression of the ball and workpiece is simplified through the rotation of spatial coordinates according to the track of the ball.The contact boundary equations of the ball and the workpiece are obtained based on the theory of space analytic geometry and the assumption that the spinning workpiece is a semi-infinite body,and the 2D curves are obtained by projecting on the coordinate planes.The projection of spatial contact area on each coordinate plane is calculated.The unit pressure in the deformation zone is given based on the assumption that the average pressure is approximately equal to that while a rigid ball is pressed into the space of semi-infinite body,and then the total spinning force and its components could be calculated.The comparison between theoretical results and experimental data shows that the proposed model is accurate.
出处
《兵工学报》
EI
CAS
CSCD
北大核心
2015年第5期928-932,共5页
Acta Armamentarii
基金
国家自然科学基金项目(51375325)
山西省自然科学基金项目(2014011025-1)
关键词
兵器科学与技术
滚珠旋压
旋压力
坐标旋转
解析模型
实验对比
ordnance science and technology
ball spinning
spinning force
rotation of coordinate
analytical model
experimental comparison
