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首页> 外文期刊>The International Journal of Advanced Manufacturing Technology >Tolerance analysis of assemblies with asymmetric tolerances by unified uncertainty–accumulation model based on fuzzy logic
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Tolerance analysis of assemblies with asymmetric tolerances by unified uncertainty–accumulation model based on fuzzy logic

机译：基于模糊逻辑的统一不确定度累积模型对非对称公差装配体的公差分析

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摘要

In mechanical assemblies, individual components are placed together to deliver a certain function. The performance, quality, and cost of the mechanical assembly are significantly affected by its tolerances. Toleranced dimensions inherently generate an uncertain environment in a mechanical assembly. This paper presents a proper method for tolerance analysis of mechanical assemblies with asymmetric tolerances based on an uncertainty model. This mathematical approach is based on fuzzy logic and tolerance accumulation models such as worst-case and root-sum-square methods. A fuzzy-based tolerance representation is developed to model uncertainty of tolerance components in the mechanical assemblies. According to this scheme, toleranced components are described as fuzzy numbers with their membership functions constructed using the statistical distributions of manufactured variables. In this way, the uncertainty of assembly requirements and accumulation of tolerances are represented in the form of fuzzy number. In this paper, a new factor, the fuzzy factor, is introduced that helps converting the membership functions into fuzzy intervals that can be used for modal interval analysis. Equations for estimation of percent contributions of individual tolerances are introduced in terms of uncertainty parameter. These equations yield percent contributions of upper and lower bounds of independent variables (manufactured dimensions) on the upper and lower bounds of dependent variables (assembly dimensions). The proposed method is applied to an example, and its results are discussed.
机译：在机械装配中，各个组件放置在一起以提供特定功能。机械组件的性能，质量和成本受其公差的影响很大。公差尺寸会在机械装配中固有地产生不确定的环境。本文提出了一种基于不确定性模型的不对称公差机械装配公差分析的正确方法。这种数学方法基于模糊逻辑和公差累积模型，例如最坏情况和均方根方法。开发了基于模糊的公差表示，以对机械组件中公差组件的不确定性进行建模。根据该方案，公差成分被描述为模糊数，其隶属函数使用制造变量的统计分布构造。这样，装配要求的不确定性和公差的累积以模糊数的形式表示。在本文中，引入了一个新的因子，即模糊因子，该变量有助于将隶属函数转换为可用于模态区间分析的模糊区间。根据不确定性参数，引入了用于估计各个公差的百分比贡献的方程式。这些方程式得出自变量的上限和下限（制造尺寸）对因变量的上限和下限（装配尺寸）的百分比贡献。将该方法应用于实例，并讨论了其结果。

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