Tolerance analysis and allocation of precision rotary table based on Jacobian-Torsor statistical model

Wei Mo, Xueming Du, Shun Liu, Sun Jin
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Abstract

Numerical control(NC) rotary table is the core part of the machining center. Due to the existence of multi-source deviation and multi-point assembly of the same part in the assembly of the rotary table, the tolerance chains are more complex, and the assembly result depends on workers to correct during installation at site, resulting in low efficiency and low assembly accuracy. A three-dimensional tolerance modeling method was established based on the Jacobian-Torsor theory. A parallel assembly model was established under multi-point assembly, and the relationship between various deviation sources and assembly deviations is obtained. The contribution of each dimension chain error to the total error is obtained by Monte Carlo analysis, which provides a basis for the designer to allocate tolerance. After several times of iteration procedure, the calculated FR meets the threshold required for product assembly. This method can effectively improve the efficiency of assembly.
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基于Jacobian-Torsor统计模型的精密转台公差分析与分配
数控转台是加工中心的核心部件。由于在转台装配中存在同一零件的多源偏差和多点装配,公差链较为复杂,装配结果依赖于工人在现场安装时进行校正,导致效率低,装配精度低。建立了基于雅可比-托量理论的三维公差建模方法。建立了多点装配下的并联装配模型,得到了各偏差源与装配偏差之间的关系。通过蒙特卡罗分析得到了各尺寸链误差对总误差的贡献,为设计人员分配公差提供了依据。经过多次迭代,计算出的FR满足产品装配所需的阈值。该方法可有效提高装配效率。
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