考虑公差原则的三维公差分析方法研究-《郑州大学学报(工学版)》

文章信息/Info

Title:: Research on the Method for 3D Tolerance Analysis Considering Tolerance Principle

Author(s):: Zhao Fengxia ; Jin Shaobo ; Li Jifeng; School of Mechanical Engineering, Zhengzhou University, Zhengzhou, Henan, 450001

Keywords:: tolerance principle; tolerance analysis; tolerance modeling; small displacement torsor theory; modal interval arithmetic

摘要:: 针对目前公差分析中普遍缺少考虑公差原则的影响，提出了一种考虑公差原则的三维公差建模与分析方法。基于SDT理论和模态区间方法分别建立了要素采用独立原则、包容要求、最大实体要求、最小实体要求或可逆要求时的公差模型；利用空间矢量表示三维尺寸链，基于空间矢量环叠加原理推导出了三维公差分析时的封闭环尺寸及其变动计算模型；以采用不同公差原则的工程实例进行了三维公差建模和公差分析，给出了公差分析的步骤，验证了本文所研究方法的有效性。

Abstract:: A method of considering tolerance principle for three dimensional tolerance analysis was put forward. Based on small displacement torsor (SDT) theory and modal interval arithmetic, the tolerance models of size tolerance and geometrical tolerance of the feature of size apply independent principle, envelope requirement, maximum material requirement, least material requirement or reciprocity requirement, were established respectively. By using the space vector to represent 3D dimension chain, a mathematical model is built to calculate the closed loop tolerance based on space vector loop stack principle. The application of the proposed method is illustrated through presenting an example, the tolerance analysis steps are given, and the availability of the proposed method was proved successfully.