用于公差设计的加权公差–成本模型研究

Study on Weighted Tolerance-Cost Model for ToleranceAllocation

摘要: 为了建立精确统一的公差–成本模型，提出了利用加权方式拟合公差–成本曲线的方法。根据公差–成本曲线的特点，把曲线分成三个组成部分。在研究曲线各个组成部分特点的基础上，选择适合公差–成本曲线特点的指数函数、幂函数、三次多项式作为基函数，利用加权的方式对成本公差曲线进行拟合。最后利用实验数据对加权公差–成本曲线方法进行了验证。结果表明：加权公差–成本模型比其他拟合方法更精确，拟合误差减小80%以上；该模型适合多种常用的加工方式，便于计算机程序化应用。

Abstract: To establish a precise and unifying tolerance-cost model, the method of introducing weighted coefficient was proposed. Tolerance-cost curve was divided into three parts according to the curve’s feature. Weighted tolerance-cost model was established based on Exponential model, Reciprocal powers model and Cubic polynomial after analyzing the trend of every part, respectively. The proposed method was verified with experimental data, and the result indicated that: Weighted tolerance-cost model is more precise than other models with error reduction by 80%. The proposed method is applied to other frequently-used processing mode, and is easy to program.