A probabilistic approach to variation propagation control for straight build in mechanical assembly
A probabilistic approach to variation propagation control for straight build in mechanical assembly
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DOI：
10.1007/s00170-012-4071-x
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
Z. Yang;S. Mcwilliam;A. Popov;T. Hussain
中科院分区：
文献类型：
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作者：
Z. Yang;S. Mcwilliam;A. Popov;T. Hussain
随机部件变化对组装产品的质量有重大影响，变化传播控制是制造组装过程中用于提高产品质量的程序之一。本文考虑了由轴对称组件组成的直建组件，并提出了一种新颖的变化传播控制方法，其中各个组件逐步重新定向，以优化组件中最终组件的工作台轴误差。数学建模方法的开发是为了预测整个装配中存在的统计变化。考虑三种直接构建装配策略：(a)直接构建、(b)最佳构建和(c)最差构建装配。确定了装配中最终部件的工作台轴误差的概率密度函数的解析表达式，并与蒙特卡罗模拟进行比较以进行验证。结果表明，与蒙特卡洛模拟相比，所提出的变化传播控制方法具有良好的精度和效率。概率密度函数用于计算偏心率超过特定值的概率，对于公差分配和装配工艺设计的工业应用和学术研究非常有用。所提出的方法用于分析不同部件公差对源自航空发动机子装配的示例的构建质量的影响。
Random component variations have a significant influence on the quality of assembled products, and variation propagation control is one of the procedures used to improve product quality in the manufacturing assembly process. This paper considers straight-build assemblies composed of axi-symmetric components and proposes a novel variation propagation control method in which individual components are re-orientated on a stage-by-stage basis to optimise the table-axis error for the final component in the assembly. Mathematical modelling methods are developed to predict the statistical variations present in the complete assembly. Three straight-build assembly strategies are considered: (a) direct build, (b) best build and (c) worst build assembly. Analytical expressions are determined for the probability density function of the table-axis error for the final component in the assembly, and comparisons are made against Monte Carlo simulations for the purposes of validation. The results show that the proposed variation propagation control method offers good accuracy and efficiency, compared to the Monte Carlo simulations. The probability density functions are used to calculate the probability that the eccentricity will exceed a particular value and are useful for industrial applications and academic research in tolerance assignment and assembly process design. The proposed method is used to analyse the influence of different component tolerances on the build quality of an example originating in aero-engine sub-assembly.