Aero-engine blade profile reconstruction based on adaptive step size bat algorithm and visualization of machining error

Abstract

High-precision profile reconstruction is a key issue in the profile detection and visualization of aero-engine blades. A method based on adaptive step size bat algorithm (ASSBA) for blade profile reconstruction and an adaptive mesh model for visualization analysis of the key machining errors are proposed. Firstly, the original bat algorithm (BA) is improved to introduce the global stage and local search stage. Then, combined with the node layer characteristics of the blade measurement data, the ASSBA is used to fit the optimal surface. Further, the adaptive mesh is planned on the blade profile to extract various evaluation parameters. Finally, the algorithm analysis and verification are carried out based on a certain type of blade. The results show this reconstruction method can get the fitted surface more quickly and accurately than other iterative methods. Simultaneously, the visualization method and corresponding software system can intuitively visualize the blade profile error, the twist deformation error, the swept deformation error, the bending deformation error and the cross-section line profile error.

Keywords

Aero-engine blade adaptive step size bat algorithm profile reconstruction mesh model machining errors visualization method

Get full access to this article

View all access options for this article.

References

Taghavi-Zenouz

Ababaf Behbahani

. Improvement of aerodynamic performance of a low speed axial compressor rotor blade row through air injection. Aerosp Sci Technol 2018; 72: 409–417.

Chen L, Li B, Jiang Z, et al. Parameter extraction of featured section in turbine blade inspection. In: 2010 IEEE international conference on automation and logistics, Hong Kong and Macau, China, 16–20 August 2010, pp.501–505. Piscataway: IEEE.

. Parallel Delaunay triangulation in three dimensions. Comput Methods Appl Mech Eng 2012; 237–240: 88–106.

Zhang

Liu

. Manifold construction over polyhedral mesh. Commun Math Stat 2017; 5: 317–333.

Pan

Skala

. Continuous global optimization in surface reconstruction from an oriented point cloud. Comput Aided Des 2011; 43: 896–901.

Wang

Helmut

Yang

. Fitting B-spline curves to point clouds by curvature-based squared distance minimization. ACM Trans Graph 2006; 25: 214–238.

Xie

Zou

Yang

, et al. Iteration and optimization scheme for the reconstruction of 3D surfaces based on non-uniform rational B-splines. Comput Aided Des 2012; 44: 1127–1140.

Akemi

Andrés

. Particle swarm optimization for non-uniform rational B-spline surface reconstruction from clouds of 3D data points. Inform Sci 2012; 192: 174–192.

Yang Xin-S . Swarm intelligence based algorithms: a critical analysis. Evol Intell 2014; 7: 17–28.

10.

Zhou

. A case study of blade inspection based on optical scanning method. Int J Prod Res 2015; 53: 2165–2178.

11.

Guo

. Research on the profile error evaluation and visualization of free-form surface. Appl Mech Mater 2010; 43: 560–564.

12.

Zhu L. The surface matching and the error analysis based on the triangular mesh. PhD Thesis, Ji Lin University, China, 2012.

13.

Lyu

. Surface reconstruction for thin aero engine blade from disorganized contact measured points. Proc IMechE, Part C: J Mechanical Engineering Science 2017; 232: 746–758.

14.

Huang

, et al. Research on aero-engine blade 3D sampling method based on improved firefly algorithm. Adv Eng Sci 2018; 13: 260–266.

15.

Lee

Shiou

. Calculation of the unit normal vector using the cross-curve moving mask method for probe radius compensation of a freeform surface measurement. Measurement 2010; 43: 469–478.

16.

Ali

Seyed

. An integrated fitting and fairing approach for object reconstruction using smooth NURBS curves and surfaces. Comput Math Appl 2018; 76: 1555–1575.

17.

Yang

. Matrix weighted rational curves and surfaces. Comput Aided Geom Des 2016; 42: 40–53.

18.

Yang

. A new metaheuristic bat-inspired algorithm. Comput Knowl Technol 2010; 284: 65–74.

19.

Shilei

Zhen

Yonglin

, et al. Improved self-adaptive bat algorithm with step-control and mutation mechanisms. J Comput Sci 2019; 30: 65–78.

20.

Zhang

Song

. Error evaluation of free-form surface based on distance function of measured point to surface. Comput Aided Des 2015; 65: 11–17.

21.

Hsu

Lai

Ueng

, et al. An iterative coordinate setup algorithm for airfoil blades inspection. Int J Adv Manuf Technol 2005; 26: 797–807.

22.

Tao

Huapeng

Hao

, et al. Virtual remanufacturing: Cross-section curve reconstruction for repairing a tip-defective blade. Proc IMechE, Part C: J Mechanical Engineering Science 2015; 229: 3141–3152.

23.

Poniatowska

. Free-form surface machining error compensation applying 3D CAD machining pattern model. Comput Aided Des 2015; 62: 227–235.

24.

Khameneifar F. Section-specific geometric error evaluation of airfoil blades based on digitized surface data. PhD Thesis, University of British Columbia, Canada, 2015.

25.

Toutenburg

Shalabh . Statistical analysis of designed experiments, 3rd ed. New York: Springer, 2009, pp. 113–158.