Ms. Xiaobo Cheng Profile

Xiaobo Cheng

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Proceedings Article | 9 January 2023 Paper

Surface deformation technology of large-scale complex components based on Laplace

Yue Liu, Dongming Yan, Xiaobo Cheng, Lijuan Li, Xuezhu Lin, Lili Guo

Proceedings Volume 12507, 125071K (2023) https://doi.org/10.1117/12.2655822

KEYWORDS: 3D modeling, Data modeling, Visual process modeling, 3D metrology, Instrument modeling, Skin, Reconstruction algorithms

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In this paper, based on the Laplace deformation technique of differential coordinates, a surface deformation technique of large-scale complex components based on optimal control points is proposed. Firstly, according to the structural characteristics and constraint conditions of the members, the force and deformation trend of the model are analyzed. The force on the curved surface is simplified into a simply supported beam section for force analysis. The deflection curve trend of the members under different constraint conditions is qualitatively analyzed. The control points are arranged at the maximum deformation to ensure the consistency of the maximum shape variables; Secondly, the arrangement of control points of components is optimized according to the deflection curve, and the points are collected in proportion along the direction of the deflection curve at a certain distance. After multiple deformation superimposition, the spacing and position distribution of control points are continuously optimized; Then, based on the centroid, the mapping relationship between the control points of the source model and the control points measured after deformation is established, and the corresponding positions of the corresponding points on the original model and the deformed model are determined; Finally, the Laplace deformation of the surface is carried out through experiments to realize the surface reconstruction. The results show that the accuracy of surface reconstruction can be controlled within 0.15mm, which overcomes the limitation of traditional large-scale deformation, greatly shortens the time and improves the actual operation level.

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