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Error Propagation Model Using Jacobian-Torsor Model Weighting for Assembly Quality Analysis on Complex Product
Mathematics ( IF 2.3 ) Pub Date : 2022-09-28 , DOI: 10.3390/math10193534
Yue Xi , Zhiyong Gao , Kun Chen , Hongwei Dai , Zhe Liu

The assembly quality of a complex product is the result of the combined effects of multiple manufacturing stages, including design, machining and assembly, and it is influenced by associated elements with complex coupling mechanisms. These elements generate and transmit assembly quality deviations during the assembly process which are difficult to analyze and express effectively. Current studies have focused on the analysis and optimization of the assembly surface errors of single or few components, while lacking attention to the impact of errors on the whole product. Therefore, in order to solve the above problem, an assembly quality deviation analysis (AQDA) model is constructed in this paper to analyze the deviation transfer process in the assembly process of complex products and to obtain the key features to optimize. Firstly, the assembly process information is extracted and the assembly quality network model is established on the basis of complex networks. Second, the Jacobian-Torsor (J-T) model is introduced to form a network edge weighting method suitable for the assembly process to objectively express the error propagation among product part features. Third, an error propagation model (EPM) is designed to simulate the error propagation and diffusion processes in the assembly network. Finally, the assembly process of an aero-engine fan rotor is used as an example for modeling and analysis. The results show that the proposed method can effectively identify the key assembly features in the assembly process of complex products and determine the key quality optimization points and monitoring points of the products, which can provide a decision basis for product quality optimization and control.

中文翻译:

使用 Jacobian-Torsor 模型加权的误差传播模型用于复杂产品的装配质量分析

复杂产品的装配质量是设计、加工和装配等多个制造阶段综合作用的结果,并受到具有复杂耦合机制的相关元件的影响。这些要素在装配过程中产生和传递装配质量偏差,难以有效分析和表达。目前的研究主要集中在对单个或少数零部件的装配面误差进行分析和优化,而对误差对整个产品的影响缺乏关注。因此,为解决上述问题,本文构建装配质量偏差分析(AQDA)模型,分析复杂产品装配过程中的偏差传递过程,获取关键特征进行优化。首先,提取装配过程信息,在复杂网络的基础上建立装配质量网络模型。其次,引入Jacobian-Torsor(JT)模型,形成适合装配过程的网络边缘加权方法,客观地表达产品零件特征之间的误差传播。第三,设计了一个误差传播模型(EPM)来模拟装配网络中的误差传播和扩散过程。最后以某航空发动机风扇转子的装配过程为例进行建模分析。结果表明,所提方法能够有效识别复杂产品装配过程中的关键装配特征,确定产品的关键质量优化点和监控点,
更新日期:2022-09-28
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