Purpose

The conventional statistical method of three-dimensional tolerance analysis requires numerous pseudo-random numbers and consumes enormous computations to increase the calculation accuracy, such as the Monte Carlo simulation. The purpose of this paper is to propose a novel method to overcome the problems.

Design/methodology/approach

With the combination of the quasi-Monte Carlo method and the unified Jacobian-torsor model, this paper proposes a three-dimensional tolerance analysis method based on edge sampling. By setting reasonable evaluation criteria, the sequence numbers representing relatively smaller deviations are excluded and the remaining numbers are selected and kept which represent deviations approximate to and still comply with the tolerance requirements.

Findings

The case study illustrates the effectiveness and superiority of the proposed method in that it can reduce the sample size, diminish the computations, predict wider tolerance ranges and improve the accuracy of three-dimensional tolerance of precision assembly simultaneously.

Research limitations/implications

The proposed method may be applied only when the dimensional and geometric tolerances are interpreted in the three-dimensional tolerance representation model.

Practical implications

The proposed tolerance analysis method can evaluate the impact of manufacturing errors on the product structure quantitatively and provide a theoretical basis for structural design, process planning and manufacture inspection.

Originality/value

The paper is original in proposing edge sampling as a sampling strategy to generating deviation numbers in tolerance analysis.

中文翻译：

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一种基于边缘采样的产品准蒙特卡罗统计三维公差分析方法

目的

传统的三维公差分析的统计方法需要大量的伪随机数，并且需要大量的计算来提高计算精度，例如蒙特卡罗模拟。本文的目的是提出一种新的方法来克服这些问题。

设计/方法/方法

本文将拟蒙特卡罗方法与统一雅可比-torsor模型相结合，提出了一种基于边缘采样的三维公差分析方法。通过设置合理的评价标准，排除代表相对较小偏差的序列号，选择并保留代表偏差近似并仍然符合公差要求的编号。

发现

案例研究说明了该方法的有效性和优越性，它可以减少样本量，减少计算量，预测更宽的公差范围，同时提高精密装配的三维公差精度​​。

研究限制/影响

仅当在三维公差表示模型中解释尺寸和几何公差时，才可以应用所提出的方法。

实际影响

提出的公差分析方法可以定量评价制造误差对产品结构的影响，为结构设计、工艺规划和制造检验提供理论依据。

原创性/价值

该论文在提出边缘采样作为在公差分析中生成偏差数的采样策略方面具有独创性。