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Erschienen in: Engineering with Computers 3/2016

01.07.2016 | Original Article

An enhanced simulation-based design method coupled with meta-heuristic search algorithm for accurate reliability-based design optimization

verfasst von: Naser Safaeian Hamzehkolaei, Mahmoud Miri, Mohsen Rashki

Erschienen in: Engineering with Computers | Ausgabe 3/2016

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Abstract

The enhanced weighted simulation-based design method in conjunction with particle swarm optimization (PSO) is developed as a pseudo double-loop algorithm for accurate reliability-based design optimization (RBDO). According to this hybrid method, generated samples of weighed simulation method (WSM) are considered as initial population of the PSO. The proposed population is then employed to evaluate the safety level of each PSO swarm (design candidates) during movement. Using this strategy, there is no required to conduct new sampling for reliability assessment of design candidates (PSO swarms). Employing PSO as the search engine of RBDO and WSM as the reliability analyzer provide more accurate results with few samples and also increase the application range of traditional WSM. Besides, a shift strategy is also introduced to increase the capability of the WSM to investigate general RBDO problems including both deterministic and random design variables. Several examples are investigated to demonstrate the accuracy and robustness of the method. Results demonstrate the computational efficiency and superiority of the proposed method for practical engineering problems with highly nonlinear and implicit probabilistic constrains.

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Literatur
1.
Zurück zum Zitat Mínguez R, Castillo E (2009) Reliability-based optimization in engineering using decomposition techniques and FORMS. Struct Saf 31:214–223CrossRef Mínguez R, Castillo E (2009) Reliability-based optimization in engineering using decomposition techniques and FORMS. Struct Saf 31:214–223CrossRef
2.
Zurück zum Zitat Ahn J, Kim SH, Kwon JH (2005) Reliability-based wing design optimization using trust region-sequential quadratic programming framework. J Aircr 42(5):1331–1336CrossRef Ahn J, Kim SH, Kwon JH (2005) Reliability-based wing design optimization using trust region-sequential quadratic programming framework. J Aircr 42(5):1331–1336CrossRef
3.
Zurück zum Zitat Yang T, Hsieh YH (2013) Reliability-based design optimization with cooperation between support vector machine and particle swarm optimization. Eng Comput 29:151–163CrossRef Yang T, Hsieh YH (2013) Reliability-based design optimization with cooperation between support vector machine and particle swarm optimization. Eng Comput 29:151–163CrossRef
4.
Zurück zum Zitat Aoues Y, Chateauneuf A (2010) Benchmark study of numerical methods for reliability-based design optimization. Struct Multidiscip Optim 41(2):277–294MathSciNetCrossRefMATH Aoues Y, Chateauneuf A (2010) Benchmark study of numerical methods for reliability-based design optimization. Struct Multidiscip Optim 41(2):277–294MathSciNetCrossRefMATH
5.
Zurück zum Zitat Hasofer AM, Lind NC (1974) Exact and invariant second moment code format. J Eng Mech Div 100(1):111–121 Hasofer AM, Lind NC (1974) Exact and invariant second moment code format. J Eng Mech Div 100(1):111–121
6.
Zurück zum Zitat Du XP, Chen W (2001) A most probable point based method for efficient uncertainty analysis. J Des Manuf Autom 1(1–2):47–65 Du XP, Chen W (2001) A most probable point based method for efficient uncertainty analysis. J Des Manuf Autom 1(1–2):47–65
7.
Zurück zum Zitat Nikolaidis E, Burdisso R (1998) Reliability-based optimization: a safety index approach. Comput Struct 28(6):781–788CrossRefMATH Nikolaidis E, Burdisso R (1998) Reliability-based optimization: a safety index approach. Comput Struct 28(6):781–788CrossRefMATH
8.
Zurück zum Zitat Tu J, Choi KK, Park YH (1999) A new study on reliability based design optimization. J Mech Des 121(4):557–564CrossRef Tu J, Choi KK, Park YH (1999) A new study on reliability based design optimization. J Mech Des 121(4):557–564CrossRef
9.
Zurück zum Zitat Reddy MV, Grandhi RV, Hopkins DA (1994) Reliability based structural optimization: a simplified safety index approach. Comput Struct 53(6):1407–1418CrossRefMATH Reddy MV, Grandhi RV, Hopkins DA (1994) Reliability based structural optimization: a simplified safety index approach. Comput Struct 53(6):1407–1418CrossRefMATH
10.
Zurück zum Zitat Grandhi RV, Wang L (1998) Reliability-based structural optimization using improved two point adaptive nonlinear approximations. Fin Elem Anal Des 29(1):35–48CrossRefMATH Grandhi RV, Wang L (1998) Reliability-based structural optimization using improved two point adaptive nonlinear approximations. Fin Elem Anal Des 29(1):35–48CrossRefMATH
11.
Zurück zum Zitat Youn BD, Choi KK, Du L (2005) Enriched performance measure approach for reliability-based design optimization. AIAA J 43(4):874–884CrossRef Youn BD, Choi KK, Du L (2005) Enriched performance measure approach for reliability-based design optimization. AIAA J 43(4):874–884CrossRef
12.
Zurück zum Zitat Yi P, Cheng GD, Jiang L (2008) A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization. Struct Saf 30:91–109CrossRef Yi P, Cheng GD, Jiang L (2008) A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization. Struct Saf 30:91–109CrossRef
13.
Zurück zum Zitat Youn BD, Choi KK (2004) An investigation of nonlinearity of reliability-based design optimization approaches. J Mech Des 126(3):403–411CrossRef Youn BD, Choi KK (2004) An investigation of nonlinearity of reliability-based design optimization approaches. J Mech Des 126(3):403–411CrossRef
14.
Zurück zum Zitat Wu YT, Millwater HR, Cruse TA (1990) An advance probabilistic analysis method for implicit performance function. AIAA J 28(9):1663–1669CrossRef Wu YT, Millwater HR, Cruse TA (1990) An advance probabilistic analysis method for implicit performance function. AIAA J 28(9):1663–1669CrossRef
15.
Zurück zum Zitat Youn BD, Choi KK, Du L (2005) Adaptive probability analysis using an enhanced hybrid mean value method. Struct Multidisc Optim 29(2):134–148CrossRef Youn BD, Choi KK, Du L (2005) Adaptive probability analysis using an enhanced hybrid mean value method. Struct Multidisc Optim 29(2):134–148CrossRef
16.
Zurück zum Zitat Du XP, Sudjianto A, Chen W (2004) An integrated framework for optimization under uncertainty using inverse reliability strategy. J Mech Des 126(4):562–570CrossRef Du XP, Sudjianto A, Chen W (2004) An integrated framework for optimization under uncertainty using inverse reliability strategy. J Mech Des 126(4):562–570CrossRef
18.
Zurück zum Zitat Li F, Wu T, Hu M (2010) An accurate penalty-based approach for reliability-based design optimization. Res Eng Des 21(2):87–98MathSciNetCrossRef Li F, Wu T, Hu M (2010) An accurate penalty-based approach for reliability-based design optimization. Res Eng Des 21(2):87–98MathSciNetCrossRef
19.
Zurück zum Zitat Chen Z, Qiu H, Gao L, Li P (2013) An adaptive decoupling approach for reliability-based design optimization. Comput Struct 117:58–66CrossRef Chen Z, Qiu H, Gao L, Li P (2013) An adaptive decoupling approach for reliability-based design optimization. Comput Struct 117:58–66CrossRef
20.
Zurück zum Zitat Pradlwarter HJ, Schuëller GI (2010) Local domain Monte Carlo simulation. Struct Saf 32:275–280CrossRef Pradlwarter HJ, Schuëller GI (2010) Local domain Monte Carlo simulation. Struct Saf 32:275–280CrossRef
21.
Zurück zum Zitat Valdebenito MA, Pradlwarter HJ, Schuëller GI (2010) The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities. Struct Saf 32:101–111CrossRef Valdebenito MA, Pradlwarter HJ, Schuëller GI (2010) The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities. Struct Saf 32:101–111CrossRef
22.
Zurück zum Zitat Dubourg V, Sudret B, Bourinet JM (2011) Reliability-based design optimization using kriging surrogate and subset simulation. Struct Multidiscip Optim 44(5):673–690CrossRef Dubourg V, Sudret B, Bourinet JM (2011) Reliability-based design optimization using kriging surrogate and subset simulation. Struct Multidiscip Optim 44(5):673–690CrossRef
23.
Zurück zum Zitat Rashki M, Miri M, Azhdary Moghaddam M (2012) A new efficient simulation method to approximate the probability of failure and most probable point. Struct Saf 39:22–29CrossRef Rashki M, Miri M, Azhdary Moghaddam M (2012) A new efficient simulation method to approximate the probability of failure and most probable point. Struct Saf 39:22–29CrossRef
24.
Zurück zum Zitat Rashki M, Miri M, Azhdary Moghaddam M (2014) Closure to “A new efficient simulation method to approximate the probability of failure and most probable point”. Struct Saf 46:15–16CrossRef Rashki M, Miri M, Azhdary Moghaddam M (2014) Closure to “A new efficient simulation method to approximate the probability of failure and most probable point”. Struct Saf 46:15–16CrossRef
25.
Zurück zum Zitat Valdebenito MA, Schuëller GI (2010) A survey on approaches for reliability-based optimization. Struct Multidiscip Optim 42(5):645–663MathSciNetCrossRefMATH Valdebenito MA, Schuëller GI (2010) A survey on approaches for reliability-based optimization. Struct Multidiscip Optim 42(5):645–663MathSciNetCrossRefMATH
26.
Zurück zum Zitat Royset JO, Der Kiureghian A, Polak E (2001) Reliability-based optimal structural design by the decoupling approach. Reliab Eng Syst Saf 73(3):213–221CrossRef Royset JO, Der Kiureghian A, Polak E (2001) Reliability-based optimal structural design by the decoupling approach. Reliab Eng Syst Saf 73(3):213–221CrossRef
27.
Zurück zum Zitat Du X, Chen W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des 126:225–233CrossRef Du X, Chen W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des 126:225–233CrossRef
28.
Zurück zum Zitat Cho TM, Lee BC (2011) Reliability-based design optimization using convex linearization and sequential optimization and reliability assessment method. Struct Saf 33:42–50CrossRef Cho TM, Lee BC (2011) Reliability-based design optimization using convex linearization and sequential optimization and reliability assessment method. Struct Saf 33:42–50CrossRef
29.
Zurück zum Zitat Valdebenito MA, Schuëller GI (2011) Efficient strategies for reliability-based optimization involving non-linear dynamical structures. Comput Struct 89:1797–1811CrossRef Valdebenito MA, Schuëller GI (2011) Efficient strategies for reliability-based optimization involving non-linear dynamical structures. Comput Struct 89:1797–1811CrossRef
30.
Zurück zum Zitat Chen X, Hasselman TK, Neil DJ (1997) Reliability based structural design optimization for practical application. In: Proceeding of the 38th conference on structures, structural dynamics, and materials, AIAA/ASME/ASCE/AHS, AIAA 97-1403, kissimmee, FL Chen X, Hasselman TK, Neil DJ (1997) Reliability based structural design optimization for practical application. In: Proceeding of the 38th conference on structures, structural dynamics, and materials, AIAA/ASME/ASCE/AHS, AIAA 97-1403, kissimmee, FL
31.
Zurück zum Zitat Liang J, Mourelatos ZP, Nikolaidis E (2007) A single-loop approach for system reliability-based design optimization. J Mech Des 129(12):1215–1224CrossRef Liang J, Mourelatos ZP, Nikolaidis E (2007) A single-loop approach for system reliability-based design optimization. J Mech Des 129(12):1215–1224CrossRef
32.
Zurück zum Zitat Shan S, Wang GG (2008) Reliable design space and complete single-loop reliability-based design optimization. Reliab Eng Syst Saf 93(8):1218–1230CrossRef Shan S, Wang GG (2008) Reliable design space and complete single-loop reliability-based design optimization. Reliab Eng Syst Saf 93(8):1218–1230CrossRef
33.
Zurück zum Zitat Lee I, Choi KK, Du L, Gorsich D (2008) Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems. Comput Methods Appl Mech Eng 198(1):14–27CrossRefMATH Lee I, Choi KK, Du L, Gorsich D (2008) Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems. Comput Methods Appl Mech Eng 198(1):14–27CrossRefMATH
34.
Zurück zum Zitat Rashki M, Miri M, Azhdary Moghaddam M (2014) A simulation-based method for reliability based design optimization problems with highly nonlinear constraints. Autom Construct 47:24–36CrossRef Rashki M, Miri M, Azhdary Moghaddam M (2014) A simulation-based method for reliability based design optimization problems with highly nonlinear constraints. Autom Construct 47:24–36CrossRef
35.
Zurück zum Zitat Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of the IEEE international conference on neural networks, IEEE Service Center, Perth, Australia; pp 1942–1948 Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of the IEEE international conference on neural networks, IEEE Service Center, Perth, Australia; pp 1942–1948
36.
Zurück zum Zitat Shi Y, Eberhart RC (1998) Parameter selection in particle swarm optimization. Evolut Program VII:591–600 Shi Y, Eberhart RC (1998) Parameter selection in particle swarm optimization. Evolut Program VII:591–600
37.
Zurück zum Zitat Yang JM, Chen YP, Horng JT, Kao CY (1997) Applying family competition to evolution strategies for constrained optimization. In: Lecture notes in computer science, vol 1213. Springer, Berlin, Heidelberg, New York, pp 201–211 Yang JM, Chen YP, Horng JT, Kao CY (1997) Applying family competition to evolution strategies for constrained optimization. In: Lecture notes in computer science, vol 1213. Springer, Berlin, Heidelberg, New York, pp 201–211
38.
Zurück zum Zitat Homaifar A, Lai AHY, Qi X (1994) Constrained optimization via genetic algorithms. Simulation 62(4):242–254CrossRef Homaifar A, Lai AHY, Qi X (1994) Constrained optimization via genetic algorithms. Simulation 62(4):242–254CrossRef
39.
Zurück zum Zitat Kumar N, Vidyarthi DP (2015) A novel hybrid PSO–GA meta-heuristic for scheduling of DAG with communication on multiprocessor systems. Eng Comput. doi:10.1007/s00366-015-0396-z Kumar N, Vidyarthi DP (2015) A novel hybrid PSO–GA meta-heuristic for scheduling of DAG with communication on multiprocessor systems. Eng Comput. doi:10.​1007/​s00366-015-0396-z
41.
Zurück zum Zitat Bjerager P (1990) Comments on: Henrik O. Madsen, Omission sensitivity factors. Struct Saf 7:77–79CrossRef Bjerager P (1990) Comments on: Henrik O. Madsen, Omission sensitivity factors. Struct Saf 7:77–79CrossRef
42.
Zurück zum Zitat Hamed MM, Bedient PB (1997) On the effect of probability distributions of input variables in public health risk assessment. Risk Anal 17(1):97–105CrossRef Hamed MM, Bedient PB (1997) On the effect of probability distributions of input variables in public health risk assessment. Risk Anal 17(1):97–105CrossRef
43.
Zurück zum Zitat Lu XP, Li HL, Papalambros P (1984) A design procedure for the optimization of vehicle suspension. Int J Vehic Des 5(1–2):129–142 Lu XP, Li HL, Papalambros P (1984) A design procedure for the optimization of vehicle suspension. Int J Vehic Des 5(1–2):129–142
44.
Zurück zum Zitat Hsu KS, Chan KY (2010) A filter-based sample average SQP for optimization problems with highly nonlinear probabilistic constraints. J Mech Des 132(11):111001CrossRef Hsu KS, Chan KY (2010) A filter-based sample average SQP for optimization problems with highly nonlinear probabilistic constraints. J Mech Des 132(11):111001CrossRef
45.
Zurück zum Zitat Lee JJ, Lee BC (2005) Efficient evaluation of probabilistic constraints using an envelope function. Eng Optimiz 37(2):185–200CrossRef Lee JJ, Lee BC (2005) Efficient evaluation of probabilistic constraints using an envelope function. Eng Optimiz 37(2):185–200CrossRef
46.
Zurück zum Zitat Lee TH, Jung JJ (2008) A sampling technique enhancing accuracy and efficiency of metamodel-based RBDO: constraint boundary sampling. Comput Struct 86(13–14):1463–1476CrossRef Lee TH, Jung JJ (2008) A sampling technique enhancing accuracy and efficiency of metamodel-based RBDO: constraint boundary sampling. Comput Struct 86(13–14):1463–1476CrossRef
47.
Zurück zum Zitat Yi P, Cheng G (2008) Further study on efficiency of sequential approximate programming for probabilistic structural design optimization. Struct Multidiscip Optimiz 35(6):509–522MathSciNetCrossRefMATH Yi P, Cheng G (2008) Further study on efficiency of sequential approximate programming for probabilistic structural design optimization. Struct Multidiscip Optimiz 35(6):509–522MathSciNetCrossRefMATH
48.
Zurück zum Zitat Shayanfar M, Abbasnia R, Khodam A (2014) Development of a GA-based method for reliability-based optimization of structures with discrete and continuous design variables using OpenSees and Tcl. Finite Elem Anal Des 90:61–73CrossRef Shayanfar M, Abbasnia R, Khodam A (2014) Development of a GA-based method for reliability-based optimization of structures with discrete and continuous design variables using OpenSees and Tcl. Finite Elem Anal Des 90:61–73CrossRef
Metadaten
Titel
An enhanced simulation-based design method coupled with meta-heuristic search algorithm for accurate reliability-based design optimization
verfasst von
Naser Safaeian Hamzehkolaei
Mahmoud Miri
Mohsen Rashki
Publikationsdatum
01.07.2016
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 3/2016
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-015-0427-9

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