Skip to main content
Erschienen in: Structural and Multidisciplinary Optimization 2/2018

30.01.2018 | INDUSTRIAL APPLICATION

Role of multi-response principal component analysis in reliability-based robust design optimization: an application to commercial vehicle design

verfasst von: Juhee Lim, Yong Sok Jang, Hong Suk Chang, Jong Chan Park, Jongsoo Lee

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The Taguchi method is a widely used conventional approach for robust design that combines experimental design with quality loss functions. However, this method can be only used in a single-response problem. In this study, we propose the use of principal component analysis (PCA) to consider multi-response problems in the Taguchi method and to investigate the influence factor of a cab suspension system. We compute the normalized quality loss for each response and perform PCA to calculate the multi-response performance index. In this study, control factors with three level combinations and noise factors with random sampling from each normal distribution are considered. Additionally, we applied multi-objective reliability based robust design optimization (RBRDO) to accommodate design uncertainties and its data scattering based on rational probabilistic approaches. This is used to develop the reliability assessment and reliability based design optimization and corresponds to an integrated method that accounts for the design robustness in the objective function and reliability in the constraints.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Antony J (2000) Multi-response optimization in industrial experiments using taguchi’s quality loss function and principal component analysis. Quality and Reliability Eng International 16:3–8CrossRef Antony J (2000) Multi-response optimization in industrial experiments using taguchi’s quality loss function and principal component analysis. Quality and Reliability Eng International 16:3–8CrossRef
Zurück zum Zitat Arora JS, Elwakeil OA, Chahande AI, Hsieh CC (1995) Global optimization methods for engineering applications: a review. Structural Optimization 9:137–159CrossRef Arora JS, Elwakeil OA, Chahande AI, Hsieh CC (1995) Global optimization methods for engineering applications: a review. Structural Optimization 9:137–159CrossRef
Zurück zum Zitat Beck AT, de Santana Gomes WJ (2012) A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty. Probabilistic Eng Mechanics 28:18–29CrossRef Beck AT, de Santana Gomes WJ (2012) A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty. Probabilistic Eng Mechanics 28:18–29CrossRef
Zurück zum Zitat Choi K, Lee G, Choi DH (2009) Reliability-based design optimization using kriging Metamodel with sequential sampling technique. Trans Korean Soc Mech Eng A 33:1464–1470CrossRef Choi K, Lee G, Choi DH (2009) Reliability-based design optimization using kriging Metamodel with sequential sampling technique. Trans Korean Soc Mech Eng A 33:1464–1470CrossRef
Zurück zum Zitat Coello CAC, Pulido GT (2005) Multiobjective structural optimization using a microgenetic algorithm. Struct Multidisc Optim 30:388–403CrossRef Coello CAC, Pulido GT (2005) Multiobjective structural optimization using a microgenetic algorithm. Struct Multidisc Optim 30:388–403CrossRef
Zurück zum Zitat Cole DJ (2001) Fundamental issues in suspension Design for Heavy Road Vehicles. Veh Syst Dyn 35:319–360CrossRef Cole DJ (2001) Fundamental issues in suspension Design for Heavy Road Vehicles. Veh Syst Dyn 35:319–360CrossRef
Zurück zum Zitat Der Kiureghian A, Lin HZ, Hwang SJ (1987) Second-order reliability approximations. J Engrg Mech, ASCE 113:1208–1225CrossRef Der Kiureghian A, Lin HZ, Hwang SJ (1987) Second-order reliability approximations. J Engrg Mech, ASCE 113:1208–1225CrossRef
Zurück zum Zitat Enevoldsen I, Sorensen JD (1994) Reliability-based optimization in structural engineering. Struct Saf 15:169–196CrossRef Enevoldsen I, Sorensen JD (1994) Reliability-based optimization in structural engineering. Struct Saf 15:169–196CrossRef
Zurück zum Zitat Gauri SK, Pal S (2014) The principal component analysis (PCA)-based approaches for multi-response optimization: some areas of concerns. Int J Adv Manuf Technol 70:1875–1887CrossRef Gauri SK, Pal S (2014) The principal component analysis (PCA)-based approaches for multi-response optimization: some areas of concerns. Int J Adv Manuf Technol 70:1875–1887CrossRef
Zurück zum Zitat Haftka RT, Scott EP, Cruz JR (1998) Optimization and experiments: a survey. Appl Mech Rev 51:435–448CrossRef Haftka RT, Scott EP, Cruz JR (1998) Optimization and experiments: a survey. Appl Mech Rev 51:435–448CrossRef
Zurück zum Zitat Jean MD, Wang JT (2006) Using a principal components analysis for developing a robust Design of Electron Beam Welding. Int J Adv Manuf Technol 28:882–229CrossRef Jean MD, Wang JT (2006) Using a principal components analysis for developing a robust Design of Electron Beam Welding. Int J Adv Manuf Technol 28:882–229CrossRef
Zurück zum Zitat Jeong SB, Lee SJ, Park GJ (2012) Improvement of the convergence capability of a single loop single vector approach using conjugate gradient for a concave function. Trans Korean Soc Mech Eng A 36:805–811CrossRef Jeong SB, Lee SJ, Park GJ (2012) Improvement of the convergence capability of a single loop single vector approach using conjugate gradient for a concave function. Trans Korean Soc Mech Eng A 36:805–811CrossRef
Zurück zum Zitat Jollife L (2002) Principal component analysis. John Wiley and Sons, Ltd., New Jersey Jollife L (2002) Principal component analysis. John Wiley and Sons, Ltd., New Jersey
Zurück zum Zitat Kaiser HF (1960) The application of electronic computers to factor analysis. Educ Psychol Meas 20:141–151CrossRef Kaiser HF (1960) The application of electronic computers to factor analysis. Educ Psychol Meas 20:141–151CrossRef
Zurück zum Zitat Kim MS, Kim JR, Jeon JY, Choi DH (2001) Design optimization using two-diagonal quadratic approximation. Trans Korean Soc Mech Eng A 25:1423–1431 Kim MS, Kim JR, Jeon JY, Choi DH (2001) Design optimization using two-diagonal quadratic approximation. Trans Korean Soc Mech Eng A 25:1423–1431
Zurück zum Zitat Lee I, Choi KK, Du L, Gorsich D (2008a) Dimension reduction method for reliability-based robust design optimization. Comput Struct 86:1550–1562CrossRefMATH Lee I, Choi KK, Du L, Gorsich D (2008a) Dimension reduction method for reliability-based robust design optimization. Comput Struct 86:1550–1562CrossRefMATH
Zurück zum Zitat Lee JS, Choi GJ, Lee KH (2008b) Ride performance evaluation of a heavy truck semi-active cabin air suspension system. Trans Korean Soc Automotive Eng 16:77–83CrossRef Lee JS, Choi GJ, Lee KH (2008b) Ride performance evaluation of a heavy truck semi-active cabin air suspension system. Trans Korean Soc Automotive Eng 16:77–83CrossRef
Zurück zum Zitat Lee I, Shin J, Choi KK (2013) Equivalent target probability of failure to convert high-reliability model to low-reliability model for efficiency of sampling-based RBDO. Struct Multidisc Optim 48:235–248MathSciNetCrossRef Lee I, Shin J, Choi KK (2013) Equivalent target probability of failure to convert high-reliability model to low-reliability model for efficiency of sampling-based RBDO. Struct Multidisc Optim 48:235–248MathSciNetCrossRef
Zurück zum Zitat Motta RS, Afonso SMB (2016) An efficient procedure for structural reliability-based robust design optimization. Struct and Multidisc Opt 54(3):511–530MathSciNetCrossRef Motta RS, Afonso SMB (2016) An efficient procedure for structural reliability-based robust design optimization. Struct and Multidisc Opt 54(3):511–530MathSciNetCrossRef
Zurück zum Zitat Phadke MS (1989) Quality engineering using robust design. Prentice-Hall, Englewood Cliffs Phadke MS (1989) Quality engineering using robust design. Prentice-Hall, Englewood Cliffs
Zurück zum Zitat Sandgren E, Cameron TM (2002) Robust design optimization of structures through consideration of variation. Comput Struct 80:1605–1613CrossRef Sandgren E, Cameron TM (2002) Robust design optimization of structures through consideration of variation. Comput Struct 80:1605–1613CrossRef
Zurück zum Zitat Shahrak AF, Noorossana R (2014) Reliability-based robust design optimization: a general methodology using genetic algorithm. Comput Ind Eng 74:199–207CrossRef Shahrak AF, Noorossana R (2014) Reliability-based robust design optimization: a general methodology using genetic algorithm. Comput Ind Eng 74:199–207CrossRef
Zurück zum Zitat Sim HM, Song CY, Lee J, Choi HY (2012) A preliminary study of reliability based robust optimization using conservative approximate meta-models. J of Ocean Eng and Technol 26:80–85CrossRef Sim HM, Song CY, Lee J, Choi HY (2012) A preliminary study of reliability based robust optimization using conservative approximate meta-models. J of Ocean Eng and Technol 26:80–85CrossRef
Zurück zum Zitat Song CY, Lee J (2010) Comparative study of approximate optimization techniques in CAE based structural design. Trans Korean Soc Mech Eng A 34:1603–1611CrossRef Song CY, Lee J (2010) Comparative study of approximate optimization techniques in CAE based structural design. Trans Korean Soc Mech Eng A 34:1603–1611CrossRef
Zurück zum Zitat Su CT, Tong LI (1997) Multi-response robust design by principal component analysis. Total Qual Manag 8:409–416CrossRef Su CT, Tong LI (1997) Multi-response robust design by principal component analysis. Total Qual Manag 8:409–416CrossRef
Zurück zum Zitat Tu J, Choi KK, Park YH (1999) A new study on reliability-based design optimization. ASME J of Mech Design 121:557–564CrossRef Tu J, Choi KK, Park YH (1999) A new study on reliability-based design optimization. ASME J of Mech Design 121:557–564CrossRef
Zurück zum Zitat Yang YS, Park CK, Lee KH, Suh JC (2007) A study on the preliminary ship design method using deterministic approach and probabilistic approach including hull form. Struct Multidisc Optim 33:529–539CrossRef Yang YS, Park CK, Lee KH, Suh JC (2007) A study on the preliminary ship design method using deterministic approach and probabilistic approach including hull form. Struct Multidisc Optim 33:529–539CrossRef
Zurück zum Zitat Youn BD, Choi KK (2004) A new response surface methodology for reliability-based design optimization. Comput Struct 82:241–256CrossRef Youn BD, Choi KK (2004) A new response surface methodology for reliability-based design optimization. Comput Struct 82:241–256CrossRef
Zurück zum Zitat Youn BD, Xi Z (2009) Reliability-based robust design optimization using the eigenvector dimension reduction (EDR) method. Structural Optimization 37(5):475–492CrossRef Youn BD, Xi Z (2009) Reliability-based robust design optimization using the eigenvector dimension reduction (EDR) method. Structural Optimization 37(5):475–492CrossRef
Zurück zum Zitat Yu X, Choi KK, Chang KH (1997) A mixed design approach for probabilistic structural durability. Structural Optimization 14:81–90CrossRef Yu X, Choi KK, Chang KH (1997) A mixed design approach for probabilistic structural durability. Structural Optimization 14:81–90CrossRef
Metadaten
Titel
Role of multi-response principal component analysis in reliability-based robust design optimization: an application to commercial vehicle design
verfasst von
Juhee Lim
Yong Sok Jang
Hong Suk Chang
Jong Chan Park
Jongsoo Lee
Publikationsdatum
30.01.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 2/2018
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-018-1908-4

Weitere Artikel der Ausgabe 2/2018

Structural and Multidisciplinary Optimization 2/2018 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.