Mathematical Model for Evaluating Roundness Errors by Minimum Circumscribed Circle Method

摘要：

An unconstrained optimization model is established for assessing roundness errors by the minimum circumscribed circle method based on radial deviation measurement. The properties of the objective function in the optimization model are thoroughly researched. On the basis of the modern theory on convex functions, it is strictly proved that the objective function is a continuous and non-differentiable and convex function defined on the two-dimensional Euclidean space. The minimal value of the objective function is unique and any of its minimal point must be its global minimal point. Any existing optimization algorithm, so long as it is convergent, can be used to solve the objective function in order to get the wanted roundness errors by the minimun circumscribed circle assessment. One example is given to verify the theoretical results presented.

关键词： Form error Roundness Minimun circumscribed circle Optimization Objective function Convex function

作者: Ping Liu Hui Yi Miao

作者单位: School of Mechanical Engineering & Automation, Northeastern University, Shenyang, Liaoning Province Hebei Institute of Physical Education, Shijiazhuang, Hebei Province 050041, P.R. China

会议类型: 国际会议

会议名称: 2011 International Conference on Mechatronics and Materials Processing(2011年机电一体化与材料加工国际会议 ICMMP)

会议地点: 广州

会议语种:英文

页码: 380-383

在线出版日期: 2011-11-18（万方平台首次上网日期，不代表论文的发表时间）