中文摘要：

以装配结合平面为研究对象,分析多种公差耦合情况下零件间装配结合面误差建模和公差优化设计问题。采用小位移旋量（Small displacement torsor,SDT）描述公差,针对不同类型公差建立零件平面误差模型,通过蒙特卡洛模拟法获得装配平面误差变动分量的实际变动区间带宽,通过响应面法建立误差变动分量实际变动区间带宽与公差间的显式函数关系;建立包含零件加工误差与装配过程误差的装配结合面综合误差模型。将该方法扩展应用于复杂装配体的装配误差建模中,实现了在设计阶段对装配精度的预测。以加工成本为目标,装配精度可靠度为约束,进行零件公差的优化设计。以一典型产品精度设计为例,验证了用该方法预测装配精度和优化零件公差设计的可行性与实用性。

英文摘要：

Taking plane assembly joint surface as the research object,the problems of assembly joint surface error modeling and tolerance optimization in the case of coupled tolerance are analyzed.Describing the tolerance by small displacement torsors theory（SDT）,part plane error model is built according different tolerance design conditions,the actual change interval of assembly plane error variation bandwidth is obtained by Monte Carlo Simulation method,and the function relationship between error alteration component actual change interval bandwidth and tolerance is established by response surface method.Assembly joint surface comprehensive error model is built according to the part machining error and assembly process error.The method is expanded applied in assembly error modeling of complex assembly,and assembly accuracy prediction in the design phase is achieved.Aiming at the processing cost,and regard assembly accuracy reliability as constraint,the tolerance value of parts is optimized.At the end of the paper,the feasibility and practicability of this method in predicting the assembly precision and guiding precision design is verified by a typical engineering example.