A multi-object posture coordination method with tolerance constraints for aircraft components assembly

2019 ◽  
Vol 40 (2) ◽  
pp. 345-359 ◽  
Author(s):  
Yifan Zhang ◽  
Qing Wang ◽  
Anan Zhao ◽  
Yinglin Ke

Purpose This paper aims to improve the alignment accuracy of large components in aircraft assembly and an evaluation algorithm, which is based on manufacture accuracy and coordination accuracy, is proposed. Design/methodology/approach With relative deviations of manufacturing feature points and coordinate feature points, an evaluation function of assembly error is constructed. Then the optimization model of large aircraft digital alignment is established to minimize the synthesis assembly error with tolerance requirements, which consist of three-dimensional (3D) tolerance of manufacturing feature points and relative tolerance between coordination feature points. The non-linear constrained optimization problem is solved by Lagrange multiplier method and quasi-Newton method with its initial value provided by the singular value decomposition method. Findings The optimized postures of large components are obtained, which makes the tolerance of both manufacturing and coordination requirements be met. Concurrently, the synthesis assembly error is minimized. Compared to the result of the singular value decomposition method, the algorithm is validated in three typical cases with practical data. Practical implications The proposed method has been used in several aircraft assembly projects and gained a good effect. Originality/value This paper proposes a method to optimize the manufacturing and coordination accuracy with tolerance constraints when the postures of several components are adjusted at the same time. The results of this paper will help to improve the quality of component assemblies.

2018 ◽  
Vol 13 ◽  
pp. 174830181881360 ◽  
Author(s):  
Zhenyu Zhao ◽  
Riguang Lin ◽  
Zehong Meng ◽  
Guoqiang He ◽  
Lei You ◽  
...  

A modified truncated singular value decomposition method for solving ill-posed problems is presented in this paper, in which the solution has a slightly different form. Both theoretical and numerical results show that the limitations of the classical TSVD method have been overcome by the new method and very few additive computations are needed.


PLoS ONE ◽  
2019 ◽  
Vol 14 (3) ◽  
pp. e0211463 ◽  
Author(s):  
Vincent Guillemot ◽  
Derek Beaton ◽  
Arnaud Gloaguen ◽  
Tommy Löfstedt ◽  
Brian Levine ◽  
...  

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