Uniqueness of Solution of Cylindricity Objective Function

摘要：

Based on the radial deviation measurement, the unconstrained optimization model is established for assessing cylindricity errors by the minimum zone method The properties of the objective function concerned are thoroughly researched. On the basis of the modern theory on convex functions, it is strictly proved that the established cylindricity objective function is a continuous, non-differentiable and convex function defined on the four-dimensional Euclidean space R4. Therefore, the global minimal value of the objective function is unique and any of its minimal point must be its global minimal point. Thus, any existing optimization algorithm, as long as it is convergent, can be applied to solve the objective function to get the reliable minimum zone cylindricity errors. An example is given to verify the theoretical results presented.

作者: P Liu

作者单位: School of Mechanical Engineering & Automation, Northeastern University, 11, 3 Lane, Wenhua Road, Shenyang 110004, China

会议类型: 国际会议

会议名称: 第四届仪器科学与技术国际会议( 4th International Symposium on Instrumentation and Science and Tcchnology)

会议地点: 哈尔滨

会议语种:英文

页码: 154-158

在线出版日期: 2006-08-08（万方平台首次上网日期，不代表论文的发表时间）