基于肤面形状模型的并联机械装配精度分析  

A Method for Analyzing the Accuracy of Parallel Mechanical Assembly Based on Skin Model Shapes

作　　者：申团辉 鲁聪 SHEN Tuanhui;LU Cong(School of Mechanical and Electrical Engineering,University of Electronic Science and Technology,Chengdu 611731,China)

机构地区：[1]电子科技大学机械与电气工程学院,成都611731

出　　处：《组合机床与自动化加工技术》2024年第6期42-47,53,共7页Modular Machine Tool & Automatic Manufacturing Technique

摘　　要：针对现有并联机械装配精度分析中未考虑形状偏差空间分布特征,且并联连接的配合面相对定位偏差的计算未结合实际装配过程而导致的装配精度分析精确性不足的问题,首先,基于非高斯肤面形状模型,提出了结合装配过程的并联连接配合面相对定位偏差计算方法;其次,基于雅克比-旋量模型,提出了雅克比-非高斯肤面形状模型,以实现对并联机械装配的偏差传递累积分析;最后,以直齿圆锥齿轮箱为例,通过蒙特卡洛仿真分别获得了轴交角相对误差ΔRα和中心距相对误差ΔTd频率分布,结果表明形状偏差空间分布特征对并联机械装配精度分析具有不可忽视的影响,该方法可为公差设计提供理论指导,以保障高精度机械产品的装配质量要求。Aiming at the loss of accuracy of assembly accuracy analysis caused by the fact that the spatial distribution characteristics of form deviation are not taken into account in the existing assembly accuracy analysis of parallel mechanical and the calculation of relative positioning deviation of the mating surfaces of parallel connections is not combined with the actual assembly process,this paper firstly proposes a method of calculating the relative positioning deviation of the mating surfaces of parallel connections combined with the assembly process based on the non-gaussian skin shape model.Secondly,based on the Jacobian-torsor model,the Jacobian-non-gaussian skin model shapeis proposed to realize the cumulative analysis of deviation propagation for parallel mechanical assembly.Finally,using a straight-toothed bevel gearbox as an example,the frequency distributions of the relative error of the shaft intersection angleΔRαand the relative error of the center distanceΔTd are obtained by monte carlo simulation,and the proposed method can provide theoretical guidance for the tolerance design to guarantee the assembly quality requirements of high-precision mechanical products.

关 键 词：装配精度分析 并联机械装配 非高斯肤面形状模型 形状偏差 空间分布特征 

分 类 号：TH164[机械工程—机械制造及自动化] TG502[金属学及工艺—金属切削加工及机床]