摘要
针对复杂装配体公差分析存在的问题,提出一种新型三维极值统计公差分析方法。该方法结合量词概念或模拟几何偏差对几何特征影响机理,同时考虑并模拟零件间不同接触面的接触种类对几何特征影响的差异化,采用小位移旋量理论描述几何偏差和接触类型对几何特征的影响,通过三维参数空间进行凸壳化解析(兼容壳、接口壳、功能壳),将零部件允许偏差进行量词化数学表达式,形成相应的三维装配尺寸链。基于量词约束满足建立了解决公差分析问题的数学模型,采用极值法及Monte Carlo仿真法进行模拟和测试,以TGK46100数控机床进给系统为例验证了方法的有效性。
Aiming at the tolerance analysis problem in complex assembly, a new worst-case and statistical three-di- mensional tolerance analysis method was proposed. The influence mechanism of quantifier notion （ 3 or V ） simula- ting geometrical deviations on geometrical behavior and the differentiation of diverse contact surfaces on the geomet- rical behavior were considered. By using Small Displacement Torsor （SDT） theory, the impact of geometrical devia- tions and contact types on the geometrical behavior was described. Through analyzing the convex hulls （compatibili- ty hull, interface hull and functional hull） with three-dimensional parameter space, a mathematical quantifier expres- sion was made for parts＇ admissible deviations, and the corresponding three-dimensional chains was formed. Based on the established Quantified Constraint Satisfaction Problem （QCSP）, the mathematical tolerance analysis model was established, and simulation and testing were done by using worst-case method and Monte Carlo method. The effectiveness of proposed methods was proved with the feed system of TGK46100 CNC machine.
出处
《计算机集成制造系统》
EI
CSCD
北大核心
2015年第3期680-693,共14页
Computer Integrated Manufacturing Systems
基金
国家自然科学基金资助项目(51275246)~~
关键词
量词约束满足
MONTE
Carlo仿真
小位移旋量理论
公差分析
凸壳化理论
quantified constraint satisfaction problem~ Monte Carlo simulation~ small displacement torsor
toleranceanalysis
convex hull theory
