• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2016, Vol. 52 ›› Issue (17): 205-212.doi: 10.3901/JME.2016.17.205

• 数字化设计与制造 • 上一篇    


赵彦玲1, 赵志强1, 鲍玉冬1, 潘承怡1, 夏成涛2, 刘献礼1   

  1. 1. 哈尔滨理工大学机械动力工程学院 哈尔滨 150080;
    2. 西安北村精密机械有限公司 西安 710119
  • 出版日期:2016-09-05 发布日期:2016-09-05
  • 作者简介:赵彦玲(通信作者),女,1963年出生,教授,硕士研究生导师。主要研究方向为轴承设计、检测及相关技术,摩擦磨损、机械结构设计及机械系统动力学。


  • 基金资助:
    * 国家自然科学基金资助项目(51275140); 20160106收到初稿,20160721收到修改稿;

The Principle and Method of Unfolding the Whole Surface of Steel Ball

ZHAO Yanling1, ZHAO Zhiqiang1, BAO Yudong1, PAN Chengyi1, XIA Chengtao2, LIU Xianli1   

  1. 1. School of Mechanical Engineering, Harbin University of Science and Technology, Harbin 150080;
    2. Xi’an Kitamura Precision Machine Works Co., Ltd., Xi’an 710119
  • Online:2016-09-05 Published:2016-09-05



关键词: 表面缺陷, 倾斜轴锥面, 球面展开, 缺陷检测, 钢球


According to the production requirements of surface defects detection of the steel ball used in bearings, the unfolding principle of spherical spiral line motion is proposed, aiming at unfolding the whole sphere surface. Firstly, the conical driving body with inclined shaft cone is designed which can make the whole surface unfolding of steel ball possible. Meanwhile the cone model is built. Secondly, the motion parameters of one point on the steel ball in the process of unfolding are analyzed, the contact constraint model between the steel ball and the driving body is established, and the motion trajectory model of the contact point on the driving cone is fitted and solved out by iterative method. Thirdly, in order to ensure the full unfolding of whole steel ball surface, the contact trajectory model is further analyzed, and by using arc integral, the contact trajectory curve model is obtained. Finally, through the simulation technology and the experiment of physical prototype, the unfolding process of steel ball is analyzed and tested, which verifies the validity of the theoretical analysis results. The principle and method of sphere surface unfolding can be applied to the surface defects detection equipment of rolling balls used in high precision bearings and can also provide theoretical reference for the detection of other spherical objects.

Key words: defects detection, inclined shaft cone, sphere surface unfolding, surface defects, steel ball