Physical prior and Tikhonov regularization based residual stress inference method for annular parts using deformation force
doi: 10.51393/j.jamst.2023006
Physical prior and Tikhonov regularization based residual stress inference method for annular parts using deformation force
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摘要:
Annular parts are widely utilized in high-end manufacturing, which are often manufactured by ring forging to meet the requirement on mechanical properties. However, residual stress (RS) is inevitably introduced in the forging process, which affects the working performance and reduces the service life of the part. Therefore, to counter the determent of RS, it is first necessary to accurately obtain it. Different from sheet or structural parts, the RS distribution in an annular part is more complex. Existing methods based on RS measurement and finite element prediction did not incorporate the RS prior, so the accuracy is influenced by the simplified assumption on RS distribution. This paper proposes a new RS inferencing method for annular parts based on the use of deformation force and physical prior. Firstly, the RS distribution prior of the annular blank after heat treatment is obtained by finite element simulation and the clustering algorithm. Then, the prior is employed to calculate the coefficient matrix to reflect the relationship between the deformation force and the RS. Finally, the Tikhonov regularization method is used to solve the deformation force-RS inverse problem. The effectiveness and feasibility of the proposed method are verified in the simulation and experiment, respectively, which shows that the integration of RS prior distribution is able to reduce the ill-condition of the solving process to obtain an accurate solution of RS distribution in an annular part.
Abstract:Annular parts are widely utilized in high-end manufacturing, which are often manufactured by ring forging to meet the requirement on mechanical properties. However, residual stress (RS) is inevitably introduced in the forging process, which affects the working performance and reduces the service life of the part. Therefore, to counter the determent of RS, it is first necessary to accurately obtain it. Different from sheet or structural parts, the RS distribution in an annular part is more complex. Existing methods based on RS measurement and finite element prediction did not incorporate the RS prior, so the accuracy is influenced by the simplified assumption on RS distribution. This paper proposes a new RS inferencing method for annular parts based on the use of deformation force and physical prior. Firstly, the RS distribution prior of the annular blank after heat treatment is obtained by finite element simulation and the clustering algorithm. Then, the prior is employed to calculate the coefficient matrix to reflect the relationship between the deformation force and the RS. Finally, the Tikhonov regularization method is used to solve the deformation force-RS inverse problem. The effectiveness and feasibility of the proposed method are verified in the simulation and experiment, respectively, which shows that the integration of RS prior distribution is able to reduce the ill-condition of the solving process to obtain an accurate solution of RS distribution in an annular part.
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Key words:
- Annular parts /
- Residual stress prior /
- Deformation force /
- Residual stress field /
- Inverse problem
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[1] . Poursaeidi E, Taheri M, Farhangi A. Non-uniform temperature distribution of turbine casing and its effect on turbine casing distortion. Applied Thermal Engineering 2014;71(1):433-444. [2] . Ponram RA, Prasad BH, Kumar SS. Thickness mapping of rocket motor casing using ultrasonic thickness gauge. Materials Today:Proceedings 2018;5(5):11371-11375. [3] . Wu Q, Wu J, Zhang YD, et al. Analysis and homogenization of residual stress in aerospace ring rolling process of 2219 aluminum alloy using thermal stress relief method. International Journal of Mechanical Sciences 2019;157-158:111-118. [4] . Wang X, Ding WF, Zhao B. A review on machining technology of aero-engine casings. Journal of Advanced Manufacturing Science and Technology 2022;2(3):2022011. [5] . Hua L, Deng JD, Qian DS. Recent development of ring rolling theory and technique. International Journal of Materials and Product Technology 2017;54(1/2/3):65-87. [6] . Ma YL, Xue NP, Wu Q, et al. Residual stre-ss analysis of a 2219 aluminum alloy ring us-ing the indentation strain-gauge method. Metals 2020;10(7):979. [7] . Gao HJ, Zhang YD, Wu Q, et al. An analytical model for predicting the machining deformation of a plate blank considers biaxial initial residual stresses. The International Journal of Advanced Manufacturing Technology 2017;93(1-4):1473-1486. [8] . Zheng YH, Wang JT, Wang MH, et al. Study in machining deformation rule of integral casing structure parts based on supplemental support. Machine Tool & Hydraulics 2016;44(11):113-118.[In Chinese] [9] . Lv N, Liu D, Hu Y, Yang YH, et al. Research on the evolution of residual stresses in the manufacturing process of TC4 alloy profile rolled ring. Engineering Failure Analysis 2022;137:106269-. [10] . Cerutti X, Mocellin K. Influence of the machining sequence on the residual stress redistribution and machining quality:analysis and improvement using numerical simulations. The International Journal of Advanced Manufacturing Technology 2016;83(1-4):489-503. [11] . Kang H, Li ZM, Liu T, et al. A novel method to design tolerance of aero-engine casing by integrating 3-D assembly tolerance with performance instability. Proceedings of the Institution of Mechanical Engineers, Part B:Journal of Engineering Manufacture 2022;236(8):1052-1070. [12] . Yang S, Chen C, Liu G. An experimental and simulation study of impact resistance in sandwich structures casing. Proceedings of the Institution of Mechanical Engineers, Part G:Journal of Aerospace Engineering 2019;233(10):3635-3648. [13] . Guo J, Fu HY, Pan B, et al. Recent progress of residual stress measurement methods:a review. Chinese Journal of Aeronautics 2021;34(02):54-78. [14] . Schajer GS. Measurement of non-uniform residual stresses using the hole-drilling method. Part II-Practical application of the integral method. Journal of Engineering Materials Technology 1988;110(4):344-349. [15] . Wang SH, Zuo DW, Wan M, et al. Modified layer removal method for measurement of residual stress distribution in thick pre-stretched aluminum plate. Transactions of Nanjing University of Aeronautics and Astronautics 2004;21(4):286-290. [16] . Prime MB, Gonzales AR. The contour method:simple 2-D mapping of residual stresses. Proceedings of the ASME 2000 International Mechanical Engineering Congress and Exposition. Recent Advances in Solids and Structures 2000;415:121-127. [17] . Li JG, Wang SQ, Distortion caused by residual stresses in machining aeronautical aluminum alloy parts:recent advances. The International Journal of Advanced Manufacturing Technology 2017;89(1-4):997-1012. [18] . Zhang SY, Gao JB, Wen SW, et al. Applications of neutron diffraction in residual stress analysis. Failure Analysis and Prevention 2021;16(1):60-69.[In Chinese] [19] . Albakri MI, Malladi V, Tarazaga PA. Lowfrequency acoustoelastic-based stress state characterization:Theory and experimental validation. Mechanical Systems and Signal Processing 2018; 112:417-429. [20] . Zhang Z, Yang YF, Li L, et al. Experimental and computational modeling of bulk residual stress for aeronautical components with distinct geometries. Advances in Mechanical Engineering 2021;13(2):2603-2612. [21] . Cao DY, Yang YF, Liu ZW, et al. Analysis on residual stresses of the casing part in aero-engine based on hole-drilling method. Materials Science Forum 2013;770:159-163. [22] . Shi JD, Geng CJ, Xing PC, et al. Test and analysis on residual stress of aeroengine components based on neutron diffraction. Aeroengine 2020; 46(3):59-65.[In Chinese] [23] . Faghidian S, Goudar D, Farrahi G, et al. Measurement, analysis and reconstruction of residual stresses. The Journal of Strain Analysis for Engineering Design 2012;47(4):257-267. [24] . Jun TS, Korsunsky AM. Evaluation of residual stresses and strains using the eigenstrain reconstruction method. International Journal of Solids and Structures 2010;47(13):1678-1686. [25] . Wang FY, Mao KM, Li B. Prediction of residual stress fields from surface stress measurements. International Journal of Mechanical Sciences 2018; 140:68-82. [26] . Wang ZB, Sun JF, Chen WY, et al. Machining distortion of Titanium alloys aero engine case based on the energy principles. Metals 2018;8(6):464-. [27] . Liu D, Zhou WB, Sun HB, et al. Residual stress field evaluation of the blank of a casing part. IOP Conference Series:Materials Science and Engineering 2019;612(3):032168. [28] . Zhao ZW, Liu CQ, Li YG, et al. A new method for inferencing and representing a workpiece residual stress field using monitored deformation force data. Engineering 2023;22:49-59. [29] . Wang SG, Li YG, Liu CQ, et al. An initial residual stress inference method by incorporating monitoring data and mechanism model. Chinese Journal of Mechanical Engineering 2022;35(1):1-19. [30] . MacQueen JB. Some methods for classification and analysis of multivariate observations. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability 1967;1:281-297. [31] . Tikhonov AN. Solution of incorrectly formula-ted problems and the regularization method. Soviet Mathematics Doklady 1963;5:1035-1038. [32] . Golub GH, Wahba HG. Generalized CrossValidation as a method for choosing a good ridge parameter. Technometrics 1979;21(2):215-223. [33] . Ren X, Peng LJ, Huang GJ, et al. Effect of Nd on microstructure and properties of 2A70 alloy. Journal of Alloys and Compounds 2018;731:1014-1021. -
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