Dimensional variation propagation modeling and analysis for single-station assembly based on multiple constraints graph

Yu, Jianfeng; Tang, Wenbin; Li, Yuan; Zhang, Jie

doi:10.1108/aa-11-2015-090

Cited by 5 publications

(3 citation statements)

References 42 publications

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“…If the TO of all of the vertices is not available, then the assembly processes represented by the precedence graph are infeasible. According to [35], the procedure of the topological sorting algorithm is presented in Algorithm 1.…”

Section: Topological Sorting For Precedence Graphmentioning

confidence: 99%

An Optimization Model for Assembly Line Balancing Problem with Uncertain Cycle Time

Cao

Yuan

Liu

et al. 2020

Mathematical Problems in Engineering

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With the drastic change in the market, the assembly line is susceptible to some uncertainties. This study introduces the uncertain cycle time to the assembly line balancing problem (ALBP) and explores its impact. Firstly, we improve the traditional precedence graph to express the precedence, spatial, and incompatible constraints between assembly tasks, which makes ALBP more realistic. Secondly, we establish the assembly line balancing model under an uncertain cycle time, which is defined as an interval whose size can be adjusted according to the level of uncertainty. The objective of the model was to minimize the number of stations and the cycle time. Thirdly, we integrate the operator’s skill level into the model, and a multipopulation genetic algorithm is used to solve it. The method proposed in this study is verified by several test problems of different sizes. The results show that when the cycle time is uncertain, the proposed method can be used to obtain more reasonable results.

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Section: Topological Sorting For Precedence Graphmentioning

confidence: 99%

An Optimization Model for Assembly Line Balancing Problem with Uncertain Cycle Time

Cao

Yuan

Liu

et al. 2020

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

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“…It is essential to distinguish them before modelling. Yu et al (2016) divided the multiple constraints into location-oriented constraints and support-oriented constraints. Location-oriented constraints are used to transfer locational and dimensional constraints, while support-oriented constraints are merely used to provide support or strength.…”

Section: Multiple Constraints Modellingmentioning

confidence: 99%

A coordination modelling approach for assembly of multi-constrained objects based on measured skin model

Jiang

Huang

et al. 2019

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Purpose The purpose of this paper is to propose an assembly coordination modelling approach based on measured data for assembly quality control of multi-constrained objects in aircraft assembly. This approach aims to establish a high-precision digital mirror of physical assembly system in the virtual environment, with which the assembly process in the virtual environment can be performed synchronously with that in the physical world. Design/methodology/approach This paper presents a realistic geometrical representation model based on measured point cloud, as well as the multiple constraints modelling methods for local and global constraints with the proposed representation model. For the assembly target optimization, a novel optimization method based on the evaluation of multi-dimensional tolerance zone is proposed, where the particle swarm optimization and simulated annealing algorithm are combined to calculate the optimal solutions. Findings As shown in the validation results, the minimum easiness value for easiness model in global optimization is 3.01, while the best value for weighting model by adjusting weights for more than 10 times is 1.94. The results verify that the proposed coordination modelling approach is effective to the assembly of multi-constrained objects, and the optimization model has an obvious advantage over the traditional weighting method. Originality/value This paper provides a new idea for the fine control of assembly quality of non-ideal components by introducing the measured data into the on-line assembly process. Besides, a novel optimization method based on the evaluation of multi-dimensional tolerance zone is proposed, which overcomes the problem of traditional weighting model wherein the weightings are difficult to determine.

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“…The assembly transfer function (ATF) approach was developed by Das et al (2014) to model and simulate assembly process with compliant non-ideal parts. Yu et al (2016) modeled and analyzed dimensional variation propagation by the multiple constraints graph (MCG) model. And there are other studies on geometrical variation in nonrigid assembly process (Lindau et al, 2014;Lorin et al, 2014;Soderberg et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

Variation propagation modeling and analysis of automotive body outer cover panels assembly systems

Han

Deng

Lin

et al. 2019

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Purpose This study aims to present a model and analysis of automotive body outer cover panels (OCPs) assembly systems to predict assembly variation. In the automotive industry, the OCPs assembly process directly influences the quality of the automobile body appearance. However, suitable models to describe variation propagation of OCPs assembly systems remain unknown. Design/methodology/approach An adaptive state space model for OCPs assembly systems is introduced to accurately express variation propagation, including variation accumulation and transition, where two compliant deviations make impacts on key product characteristics (KPCs) of OCP, and the impacts are accumulated from welding process to threaded connection process. Another new source of variation from threaded connection is included in this model. To quantify the influence of variation from threaded connection on variation propagation, the threaded connection sensitivity matrix is introduced to build up a linear relationship between deviation from threaded connection and output deviation in KPCs. This matrix is solved by homogeneous coordinate transformation. The final deviation of KPCs will be transferred to ensure gaps and flushes between two OCPs, and the transition matrix is considered as a unit matrix to build up the transition relationship between different states. Findings A practical case on the left side body structure is described, where simulation result of variation propagation reveals the basic rule of variation propagation and the significant effect of variation from threaded connection on variation propagation of OCPs assembly system. Originality/value The model can be used to predict assembly variation or potential dimension problems at a preliminary assembly phase. The calculated results of assembly variation guide designers or technicians on tolerance allocation, fixture layout design and process planning.

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Dimensional variation propagation modeling and analysis for single-station assembly based on multiple constraints graph

Abstract: 2016),"Dimensional variation propagation modeling and analysis for singlestation assembly based on multiple constraints graph", Assembly Automation, Vol. 36 Iss 3 pp. -Permanent link to this document: http://dx.

Cited by 5 publications

References 42 publications

An Optimization Model for Assembly Line Balancing Problem with Uncertain Cycle Time

An Optimization Model for Assembly Line Balancing Problem with Uncertain Cycle Time

A coordination modelling approach for assembly of multi-constrained objects based on measured skin model

Variation propagation modeling and analysis of automotive body outer cover panels assembly systems

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