Abstract

Full-field displacement perception and digital twins for core components play a crucial role in the precision manufacturing industry, such as aviation manufacturing. This paper presents a real-time full-field displacement perception method for the combination of online multipoint displacement monitoring and matrix completion theory. Firstly, a conceptual full-field displacement perception model based on the observed information of the multi-points is established. To obtain the full-field displacements of a core component, the component is divided into plentiful discrete points, including observed and unobserved points, based on which the relationship between the observed points and the full-field displacements is established. Then, the solution method of the full-field displacement perception model is proposed. Based on the matrix completion principle and the big data of the simulation, the optimization problem is employed to work out the model and, meanwhile, the pseudo-code is put forward. Finally, the full-field displacement perception experiments are performed. Repeated experiments show that the max error of the displacements calculated by the proposed method can be less than 0.094 mm and the median error can be less than 0.054 mm, while the average time frame can be less than 0.48 s, which is promising considering the high precision and efficiency requirements of the assembly of large aircraft.

Highlights

  • Real-time three-dimensional displacement monitoring is the key to ensure the smooth progress of precision manufacturing, the full-field displacement perception and digital twin for some core components are of great importance

  • The motivation of our work is to propose a real-time displacement field perception method with high precision and high efficiency based on displacement observation of a small amount of points, combining the matrix completion theory

  • CombinationFull-field of online displacement perception experiments are conducted on the core components of aircraft assemblyFull-field tooling, multi-point displacement monitoring and matrix completion theory is presented

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Summary

Introduction

Real-time three-dimensional displacement monitoring is the key to ensure the smooth progress of precision manufacturing, the full-field displacement perception and digital twin for some core components are of great importance. In the process of aircraft assembly, since the assembly quality of the aircraft strongly depends on the position accuracy of the positioners on the assembly tooling, the full-field displacements of the positioners need to be monitored. In most practical applications, due to the limitation of the monitoring space and the equipment, etc., the acquired information is insufficient and discontinuous, which brings great difficulties to the perception of the full-field displacements. With the development of sensing technology and information theory, high-efficiency calculation with big data based on high-precision sensing information provides a new and effective way to obtain the full-field displacements in digital twin applications

Displacement Sensing Technology
Processing Approaches for Displacement Field
Displacement Field Perception for Digital Twin
Motivation of This Work
Model Solution
Equivalent Optimization Problem
Solution of the Optimization Problem
Pseudo-Code
Experiments
Simulation
Accuracy Analysis based on Simulation Data Sets
Digital
Digital for the Core
11. Comparison
Findings
Conclusions
Full Text
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