| تعداد نشریات | 24 |
| تعداد شمارهها | 912 |
| تعداد مقالات | 8,158 |
| تعداد مشاهده مقاله | 15,837,026 |
| تعداد دریافت فایل اصل مقاله | 13,332,473 |
Application of Modified Chebyshev Points to Decrease Residual Stress Noises in Hole-Drilling Method | ||
| Iranian Journal of Materials Forming | ||
| دوره 9، شماره 1، فروردین 2022، صفحه 31-40 اصل مقاله (1.97 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijmf.2022.42567.1206 | ||
| نویسندگان | ||
| B. Salehebrahimnejad1؛ A. Doniavi1؛ M. Moradi2؛ M. Shahbaz* 3 | ||
| 1Department of Mechanical Engineering, Faculty of Engineering, Urmia University, Urmia, Iran | ||
| 2Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran | ||
| 3Department of Materials Science and Engineering, Faculty of Engineering, Urmia University, Urmia, Iran | ||
| چکیده | ||
| The uncertainty on the values of the measured residual stresses in hole-drilling integral method, the most widely used technique for measuring residual stress, will be called hereinafter as residual stress noises, which initiate high sensitivity of stress to strain measurement errors due to ill-conditioning of inverse integral equations. This study aimed to investigate the use of Chebyshev points to decrease residual stress noises in the hole drilling method. The Chebyshev points were extended to hole-drilling increments from surface to specified interior depth. The bending of an aluminum beam was used to validate the extended method, and the results were compared with the standard reduction noises technique, Tikhonov-Morozov, and optimum steps technique. The result obtained from the extended method was shown to lead not only an accurate determination of de-noised residual stress, but also a simple calculation procedure in comparison with the Tikhonov-Morozov and optimal steps method. The results indicate that the use of modified Chebyshev points decreased the mean absolute error of residual stress to 8.17 MPa from 14 MPa in Tikhonov-Morozov and 10.52 MPa in optimum steps methods. | ||
| کلیدواژهها | ||
| Chebyshev points؛ Hole-drilling؛ Residual stress؛ Optimal steps؛ Tikhonov-Morozov | ||
| مراجع | ||
|
[1] G.S. Schajer, Practical residual stress measurement methods, John Wiley & Sons, 2013, pp.1-63.
[2] G.C. Luh, R.M. Hwang, Evaluating the effectiveness of vibratory stress relief by a modified hole drilling method, International Journal of Advanced Manufacturing Technology, 14(11) (1998) 815-823.
[3] G.C. Luh, R.M. Hwang, Measuring non-uniform residual stress in thin plates by a proposed hole-drilling strain guge method, International Journal of Advanced Manufacturing Technology, 15(2) (1999) 103-113.
[4] J. Mathar, Errnittlungen von eigenspannungen durch messung yon bohrlochver, fomungen, Archiv für das Eisenhüttenwesen, 6(7) (1933) 277-281.
[5] ASTM, Determining residual stresses by the hole-drilling strain-gage method, Standard test method E837-13a, American Society for Testing and Materials, West Conshohocken, PA, 2013.
[6] N.J. Rendler, I. Vigness, Hole-drilling strain-gauge method of measuring residual stresses, Experimental Mechanics, 6(12) (1966) 577-586.
[7] G.S. Schajer, Application of Finite Element Calculations to Residual Stress Measurements, Journal of Engineering Materials and Technology, Transactions, 10(3) (1981) 157–163.
[8] G.S. Schajer, Measurement of non-uniform residual stresses using the hole-drilling method, Part I- Stress calculation procedures, Journal of Engineering Materials and Technology, 110(4) (1988) 338–343.
[9] G.S. Schajer, Measurement of non-uniform residual stresses using the hole-drilling method, Part II- Practical application of the integral method, Journal of Engineering Materials and Technology, 110(4) (1988) 344-349.
[10] B. Zuccarello, Optimal calculation steps for the evaluation of residual stress by the incremental hole-drilling method, Experimental Mechanics, 39(2) (1998) 117-124.
[11] D. Vangi, Data management for the evaluation of residual stresses by the incremental hole-drilling method, Journal of Engineering Materials and Technology, 116(4) (1994) 561-566.
[12] G.S. Schajer, Hole-Drilling Residual Stress Profiling with Automated Smoothing, Journal of Engineering Materials and Technology, 129(3) (2007) 440-445.
[13] G.S. Schajer, M.B. Prime, Use of inverse solution for residual stress measurement, Journal of Engineering Materials and Technology, 128(3) (2006) 375-382.
[14] A.N. Tikhonov, A.V. Goncharsky, V.V. Stepanov, A.G. Yagola, Numerical methods for the solution of ill-posed problems, Springer Science & Business Media, 1995.
[15] V. A. Morozov, Methods for solving incorrectly posed problems. Springer-Verlag, New York, 1984.
[16] T.S. Jun, A.M. Korsunsky, Evaluation of residual stresses and strains using the Eigenstrain reconstruction method, International Journal of Solids and Structures, 47(13) (2010) 1678-1686.
[17] S.A. Faghidian, A smoothed inverse eigenstrain method for reconstruction of the regularized residual fields, International Journal of Solids and Structures, 51(25-26) (2014) 4427-4434.
[18] F. Wang, K. Mao, S. Wu, B. Li, G. Xiao, Bivariate Fourier-series-based prediction of surface residual stress fields using stresses of partial points, Mathematics and Mechanics of Solids, 24(4) (2019) 979-995.
[19] S. Naskar, B. Banerjee, A mixed finite element based inverse approach for residual stress reconstruction, International Journal of Mechanical Sciences, 196 (2021) 106295.
[20] M. Rezghi, S.M. Hosseini, A new variant of L-curve for Tikhonov regularization, Journal of Computational and Applied Mathematics, 231(2) (2009) 914-24.
[21] X. Liu, X. Wang, Z. Guan, T. Jiang, K. Geng, Z. Li, Improvement and validation of residual stress measurement in composite laminates using the incremental hole-drilling method, Mechanics of Materials, 154 (2021) 103715.
[22] D. Peral, J. De Vicente, J.A. Porro, J.L. Ocana, Uncertainty analysis for non-uniform residual stresses determined by the hole drilling strain gauge method, Measurement, 97 (2017) 51-63.
[23] H. Zare, M. Hajarian, Determination of regularization parameter via solving a multi-objective optimization problem, Applied Numerical Mathematics, 156 (2020) 542-554.
[24] A.E.H. Love, A treatise on the mathematical theory of elasticity, Cambridge University Press, Cambridge, 1927.
[25] G.S. Schajer, E. Altus, Stress calculation error analysis for incremental hole drilling residual stress measurements, Journal of Engineering Materials and Technology, 118(1) (1996) 120-126.
[26] P.L. Chebyshev, Théorie des mécanismes connus sous
le nom de parallélogrammes, Imprimerie de l'Académie Impériale des Sciences, 7 (1853) 539-568.
[27] P.L. Chebyshev, Sur les questions de minima qui se rattachent a la représentation approximative des fonctions, Imprimerie de l'Académie Impériale des Sciences, 7(1859) 199-291.
[28] K. Xu, The Chebyshev points of the first kind, Applied Numerical Mathematics, 102 (2016) 17-30.
[29] R.L. Burden, J.D. Faires, A.M. Burden, Numerical Analysis, Cengage learning, 2015.
[30] M. Smith, ABAQUS/standard user's manual. Version 6.9. Providence, RI: Dassault Systèmes Simulia Corp, 2009.
[31] O. Sicot, X.L. Gong, A. Cherouat, J. Lu, Influence of experimental parameters on determination of residual stress using the incremental hole-drilling method, Composites Science and Technology, 64(2) (2004) 171-180.
[32] G.S. Schajer, Strain data averaging for the hole-drilling method, Experimental Techniques, 15(2) (1991) 25-28.
[33] G.S. Schajer, Use of displacement data to calculate strain gauge response in non-uniform strain fields, Strain, 29(1) (1993) 9-13.
[34] A. Nau, B. Scholtes, Evaluation of the high-speed drilling technique for the incremental hole-drilling method, Experimental Mechanics, 53(4) (2013) 531-542.
[35] M. Barsanti, M. Beghini, L. Bertini, B.D. Monelli, C. Santus, First-order correction to counter the effect of eccentricity on the hole-drilling integral method with strain-gage rosettes, The Journal of Strain Analysis for Engineering Design, 51(6) (2016) 431-443.
[36] G.S. Schajer, Compact calibration data for hole-drilling residual stress measurements in finite-thickness specimens, Experimental Mechanics, 60(5) (2020) 665-678.
[37] J.M. Alegre, A. Díaz, I.I. Cuesta, J.M. Manso, Analysis of the influence of the thickness and the hole radius on the calibration coefficients in the hole-drilling method for the determination of non-uniform residual stresses, Experimental Mechanics, 59(1) (2019) 79–94.
[38] J.N. Aoh, C.S. Wei, On the improvement of calibration coefficients for hole-drilling integral method: Part I-Analysis of calibration coefficients obtained by a three-dimensional FEM model, Journal of Engineering Materials and Technology, 124(2) (2002) 250-258.
[39] J.N. Aoh, C.S. Wei, On the improvement of calibration coefficients for hole-drilling integral method: Part II-Experimental validation of calibration coefficients, Journal of Engineering Materials and Technology, 125(2) (2003) 107-115. | ||
|
آمار تعداد مشاهده مقاله: 557 تعداد دریافت فایل اصل مقاله: 413 |
||