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Robust Design Optimization on an Inline Three-Cylinder Engine Balance Shaft with Many Stochastic Variables
Technical Paper
2019-01-0329
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
The balance shaft is a countermeasure to reduce the 1st order excitation caused by the crankshaft in inline three-cylinder engine. Its design consists of two main variables, balance mass and angle. These variables need to be tuned so the engine pitch and yaw moments are minimized, which can be achieved by solving a deterministic design optimization problem. However, due to manufacturing tolerances of connecting rods, pistons, and balance shaft itself, the actual vibration level of the optimized balance shaft could fluctuate, and often becomes sub-optimal and even unacceptable. One way of addressing the influence of tolerances on vibration is to conduct a Taguchi parameter design, to pick the optimal settings of balance mass and angle, so the final designs are the least subject to the influence of manufacturing tolerances. Another approach of tackling the robust design issue is to use Robust Design Optimization (RDO), empowered by optimization algorithms, to search for the best nominal values of balance mass and angle. Furthermore, a Reverse-RDO can achieve designs with similar performance as the solutions of RDO but with much looser tolerance values. In this paper, Taguchi parameter design approach is compared with RDO, mainly in terms of overall complexity of procedures, turnaround time, optimal solution quality and efficiency, and easiness of being generalized to other engineering problems. Then the Reverse-RDO is conducted to find alternative optimal designs with much looser manufacturing tolerances. This paper concludes the Multi Objective Robustness Design Optimization (MORDO) and Reverse-MORDO, augmented by Response Surface Models, is preferred and recommended to tackle robustness in competitive product designs.
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Citation
Xue, Z. and Pedroso de Lima, F., "Robust Design Optimization on an Inline Three-Cylinder Engine Balance Shaft with Many Stochastic Variables," SAE Technical Paper 2019-01-0329, 2019, https://doi.org/10.4271/2019-01-0329.Data Sets - Support Documents
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References
- Taguchi , G. Introduction to Quality Engineering: Designing Quality into Products and Processes Asian Productivity Organization 1986
- Clarich , A. , Pediroda , V. , and Poloni , C. A Competitive Game Approach for Multi-Objective Robust Design Optimization Proceedings of the AIAA 1st Intelligent Systems Technical Conference Chicago, IL 2004 10.2514/6.2004-6511
- Parashar , S. , Clarich , A. , Geremia , P. , and Otani , A. Reverse Multi-Objective Robust Design Optimization (R-MORDO) Using Chaos Collocation Based Robustness Quantification for Engine Calibration 13th AIAA/ISSMO Conference Fort Worth, TX 2010 10.2514/6.2010-9038
- Xue , Z. , Marchi , M. , Parashar , S. , and Li , G. Comparing Uncertainty Quantification with Polynomial Chaos and Metamodel-Based Strategies for Computationally Expensive CAE Simulations and Optimization Applications SAE Technical Paper 2015-01-0437 2015 10.4271/2015-01-0437
- Nair , V. N. Taguchi's Parameter Design: A Panel Discussion Technometrics 34 2 127 161 10.2307/1269231
- Suh , K. , Lee , Y. , and Yoon , H. A Study on Balancing of the Three-Cylinder Engine with Balance Shaft SAE Technical Paper 2000-01-0601 2000 10.4271/2000-01-0601
- Ross , P.J. Taguchi Techniques for Quality Engineering: Loss Function, Orthogonal Experiments, Parameter and Tolerance Design New York McGraw-Hill 1996
- Sibalija , T.V. and Majstorovic , V.D. Novel Approach to Multi-Response Optimization for Correlated Responses J. of the Braz. Soc. Of Mech. Sci. & Eng. 38 1 39 48 2010
- Barua , P. B. , Kumar , P. , and Gaindhar , J.L. Optimal Setting of Process Parameters for Multi-Characteristic Products Using Taguchi Design and Utility-Concept an Approach Proc ICAMIE University of Roorkee (India) 839 842 1997
- Bunn , D.W. Analysis for Optimal Decisions New York John Wiley & Sons 1982
- Tai , C.Y. , Chen , T.S. , and Wu , M.C. An Enhanced Taguchi Method for Optimizing SMT Processes J Electron Manu. 2 3 91 100 1992 10.1142/S0960313192000121
- Tsui , K.L. Robust Design Optimization for Multiple Characteristic Problems Int J Prod Res 37 2 433 445 1999 10.1080/002075499191850
- Lee , K.H. and Park , G.J. Robust Design for Unconstrained Optimization Problems Using the Taguchi Method AIAA J 34 5 1059 1063 1996 10.2514/3.13187
- Tsui , K.L. A Critical Look at Taguchi’s Modelling Approach for Robust Design J Appl Statist 23 1 81 95 1996 10.1080/02664769624378
- Metropolis , N. , Rosenbluth , A.W. , Rosenbluth , M.N. , and Teller , A.H. Equation of State Calculations by Fast Computing Machines The Journal of Chemical Physics 21 6 1087 1092 1953 10.1063/1.1699114
- McKay , M.D. , Conover , W.J. , and Beckman , R.J. Latin Hypercube Sampling: A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code Technometrics 21 2 239 245 1979 10.2307/1268522
- Wiener , N. The Homogeneous Chaos Amer. J. Math. 60 4 897 936 1938 10.2307/2371268
- Xiu , D. and Karniadakis , G.E. The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations SIAM J. Sci. Comput. 24 2 619 644 2002 10.1137/S1064827501387826
- Blatman , G. and Sudret , B. Adaptive Sparse Polynomial Chaos Expansion Based on Least Angle Regression Journal of Computational Physics 230 6 2345 2367 2011 10.1016/j.jcp.2010.12.021
- Efron , B. , Hastie , T. , Johnstone , I. , and Tibshirani , R. Least Angle Regression The Annals of Statistics 32 2 407 499 2004 10.1214/009053604000000067
- www.esteco.com
- Costanzo , S. , Xue , Z. , Engel , M. , and Chuang , C. H. Multi-Strategy Intelligent Optimization Algorithm for Computationally Expensive CAE Simulations NAFEMS World Congress/SPDM Conference 2015
- Gu , C. Smoothing Spline ANOVA Models New York Springer-Verlag 2002 10.1111/1541-0420.t01-2-00026
- Venables , W.N. and Ripley , B.D. Modern Applied Statistics with S Fourth New York, NY Springer 2002 10.1007/978-0-387-21706-2
- Rasmussen , C.E. and Williams , C.K.I. Gaussian Processes for Machine Learning MIT Press 2006
- Hagan , M.T. and Menhaj , M.B. Training Feedforward Networks with the Marquardt Algorithm IEEE Trans. on Neural Networks 5 6 1994 10.1109/72.329697
- Buhmann , M.D. Radial Basis Functions: Theory and Implementations Cambridge University Press 2003 10.1017/CBO9780511543241
- Saaty , T.L. The Analytic Hierarchy Process New York McGraw-Hill 1980