Simultaneous parameter and tolerance optimization of structures via probability-interval mixed reliability model

详细信息    查看全文

• 作者：Yangjun Luo (1)
  Xiaoxiang Wu (1)
  Mingdong Zhou (2)
  Michael Yu Wang (3)
  
  1. School of Mechanics ; Civil Engineering & Architecture ; Northwestern Polytechnical University ; Xi鈥檃n ; 710072 ; China
  2. Department of Mechanical Engineering ; Technical University of Denmark ; 2800 ; Kgs. Lyngby ; Denmark
  3. Mechanical Engineering Department ; National University of Singapore ; EA-05-11 ; 9 Engineering Drive 1 ; Singapore ; Singapore
  
• 关键词：Tolerance ; Optimization ; Reliability ; Trust region method
• 刊名：Structural and Multidisciplinary Optimization
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：51
• 期：3
• 页码：705-719
• 全文大小：1,467 KB
• 参考文献：1. Ahn, J, Kim, S, Kim, JH (2005) Reliability-based wing design optimization using trust region-sequential quadratic programming framework. J Aircraft 42: pp. 1331-1336 CrossRef
  2. Byrd RH, Schnabel RB, Schultz (1985) A trust region algorithm for nonlinearly constrained optimization. University of Colorado, Ph.D. thesis.
  3. Chase, KW, Greenwood, WH, Loosli, BG, Hauglund, LF (1990) Least cost tolerance allocation for mechanical assemblies with automated process selection. Manuf Rev 3: pp. 49-59
  4. Chen, T, Fischer, GW (2000) A GA-based search method for the tolerance allocation problem. Artific Intell Eng 14: pp. 133-141 CrossRef
  5. Chen X, Neill DJ (1997) Reliability based structural design optimization for practical applications. In 38th Structures, Structural Dynamics, and Materials Conference. AIAA-97-1403, pp2724鈥?732.
  6. Cheng, G, Xu, L, Jiang, L (2006) A sequential approximate programming strategy for reliability-based structural optimization. Comput Struct 84: pp. 1353-1367 CrossRef
  7. Cho, TM, Lee, BC (2010) Reliability-based design optimization using a family of methods of moving asymptotes. Struct Multidiscip Optim 42: pp. 255-268 CrossRef
  8. Dong, Z, Hu, W, Xue, D (1994) New production cost-tolerance models for tolerance synthesis. J Eng Ind 116: pp. 199-206 CrossRef
  9. Du X (2007) Interval reliability analysis. In: ASME 2007 Design Engineering Technical Conference & Computers and Information in Engineering Conference (DETC2007). Las Vegas, Nevada, USA
  10. Du, X, Chen, W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. ASME J Mech Des 126: pp. 225-233 CrossRef
  11. Dupinet, E, Balazinski, M, Czogala, E (1996) Tolerance allocation based on fuzzy logic and simulated annealing. J Intell Manuf 7: pp. 487-497 CrossRef
  12. Elishakoff, I, Colombi, P (1993) Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters. Comput Methods Appl Mech Eng 104: pp. 187-209 CrossRef
  13. Forouraghi, B (2009) Optimal tolerance allocation using a multiobjective particle swarm optimizer. Int J Adv Manuf Tech 44: pp. 710-724 CrossRef
  14. Geetha, K, Ravindran, D, Kumar, MS, Islam, MN (2013) Multi-objective optimization for optimum tolerance synthesis with process and machine selection using a genetic algorithm. Int J Adv Manuf Tech 67: pp. 2439-2457 CrossRef
  15. Huang, YM, Shiau, CS (2006) Optimal tolerance allocation for a sliding vane compressor. J Mech Des 128: pp. 98-107 CrossRef
  16. Jiang, C, Li, W, Han, X, Liu, L, Le, PH (2011) Structural reliability analysis based on random distributions with interval parameters. Comput Struct 89: pp. 2292-2302 CrossRef
  17. Jiang, C, Lu, G, Han, X, Liu, L (2012) A new reliability analysis method for uncertain structures with random and interval variables. Int J Mech Mater Des 8: pp. 169-182 CrossRef
  18. Jiang, C, Long, X, Han, X, Tao, Y, Liu, J (2013) Probability-interval hybrid reliability analysis for cracked structures existing epistemic uncertainty. Eng Fract Mech 112鈥?13: pp. 148-164
  19. Kang, Z, Luo, Y (2010) Reliability-based structural optimization with probability and convex set hybrid models. Struct Multidiscip Optim 42: pp. 89-102 CrossRef
  20. Kharmanda, G, Mohamed, A, Lemaire, M (2002) Efficient reliability-based design optimization using a hybrid space with application to finite element analysis. Struct Multidiscip Optim 24: pp. 233-245 CrossRef
  21. Kusiak, A, Feng, C (1995) Deterministic tolerance synthesis: a comparative study. Comput-Aided Des 27: pp. 759-768 CrossRef
  22. Lee, KH, Park, GJ (2001) Robust optimization considering tolerances of design variables. Comput Struct 79: pp. 77-86 CrossRef
  23. Lee, JO, Yang, YS, Ruy, WS (2002) A comparative study on reliability-index and target-performance-based probabilistic structural design optimization. Comput Struct 80: pp. 257-269 CrossRef
  24. Luo, Y, Kang, Z, Li, A (2009) Structural reliability assessment based on probability and convex set mixed model. Comput Struct 87: pp. 1408-1415 CrossRef
  25. Muthu, P, Dhanalakshmi, V, Sankaranarayanasamy, K (2009) Optimal tolerance design of assembly for minimum quality loss and manufacturing cost using metaheuristic algorithms. Int J Adv Manuf Tech 44: pp. 1154-1164 CrossRef
  26. Penmetsa, RC, Grandhi, RV (2002) Efficient estimation of structural reliability for problems with uncertain intervals. Comput Struct 80: pp. 1103-1112 CrossRef
  27. Prabhaharan, G, Asokan, P, Ramesh, P, Rajendran, S (2004) Genetic-algorithm-based optimal tolerance allocation using a least-cost model. Int J Adv Manuf Tech 24: pp. 647-660 CrossRef
  28. Qiu, Z, Wang, J (2010) The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system. Eng Fail Anal 17: pp. 1142-1154 CrossRef
  29. Rao, SS, Wu, W (2005) Optimum tolerance allocation in mechanical assemblies using an interval method. Eng Optim 37: pp. 237-257 CrossRef
  30. Rosenblatt, M (1952) Remarks on a multivariate transformation. Ann Math Stat 23: pp. 470-472 CrossRef
  31. Sivakumar, K, Balamurugan, C, Ramabalan, S (2011) Simultaneous optimal selection of design and manufacturing tolerances with alternative manufacturing process selection. Comput-Aided Des 43: pp. 207-218 CrossRef
  32. Sivakumar, K, Balamurugan, C, Ramabalan, S (2011) Concurrent multi-objective tolerance allocation of mechanical assemblies considering alternative manufacturing process selection. Int J Adv Manuf Tech 53: pp. 711-732 CrossRef
  33. Spotts, MF (1973) Allocation of tolerances to minimize cost of assembly. J Eng Ind 95: pp. 762-764 CrossRef
  34. Tu, J, Choi, KK, Park, YH (1999) A new study on reliability-based design optimization. J Mech Des 121: pp. 557-564 CrossRef
  35. Wu, F, Dantan, JY, Etienne, A, Siadat, A, Martin, P (2009) Improved algorithm for tolerance allocation based on Monte Carlo simulation and discrete optimization. Comput Ind Eng 56: pp. 1402-1413 CrossRef
  36. Yi, P, Cheng, G, Jiang, L (2008) A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization. Struct Saf 30: pp. 91-109 CrossRef
  37. Youn, BD, Choi, KK, Du, L (2005) Enriched performance measure approach for reliability-based design optimization. AIAA J 43: pp. 874-884 CrossRef
  38. Youn, BD, Choi, KK, Du, L (2005) Adaptive probability analysis using an enriched hybrid mean value method. Struct Multidiscip Optim 29: pp. 134-148 CrossRef
  39. Zhang, C, Wang, HPB (1993) Integrated tolerance optimisation with simulated annealing. Int J Adv Manuf Tech 8: pp. 167-174 CrossRef
  40. Zou, T, Mahadevan, S (2006) A direct decoupling approach for efficient reliability-based design optimization. Struct Multidiscip Optim 31: pp. 190-200 CrossRef
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Computer-Aided Engineering and Design
  Numerical and Computational Methods in Engineering
  Engineering Design
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1615-1488

文摘

Both structural sizes and dimensional tolerances strongly influence the manufacturing cost and the functional performance of a practical product. This paper presents an optimization method to simultaneously find the optimal combination of structural sizes and dimensional tolerances. Based on a probability-interval mixed reliability model, the imprecision of design parameters is modeled as interval uncertainties fluctuating within allowable tolerance bounds. The optimization model is defined as to minimize the total manufacturing cost under mixed reliability index constraints, which are further transformed into their equivalent formulations by using the performance measure approach. The optimization problem is then solved with the sequential approximate programming. Meanwhile, a numerically stable algorithm based on the trust region method is proposed to efficiently update the target performance points (TPPs) and the worst case points (WCPs), which shows better performance than traditional approaches for highly nonlinear problems. Numerical results reveal that reasonable dimensions and tolerances can be suggested for the minimum manufacturing cost and a desirable structural safety.