Skip to main content
Top

2021 | OriginalPaper | Chapter

5. Interval Optimization Based on Interval Structural Analysis

Authors : Chao Jiang, Xu Han, Huichao Xie

Published in: Nonlinear Interval Optimization for Uncertain Problems

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter first introduces the conventional interval structural analysis method with small uncertainties. Based on the interval set theory and the subinterval technology, it is then extended to problems with large uncertainties. Consequently, an efficient interval optimization method based on the interval structural analysis is established.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Qiu ZP (2003) Comparison of static response of structures using convex models and interval analysis method. Int J Numer Meth Eng 56(12):1735–1753CrossRef Qiu ZP (2003) Comparison of static response of structures using convex models and interval analysis method. Int J Numer Meth Eng 56(12):1735–1753CrossRef
2.
go back to reference Qiu ZP, Wang XJ (2003) Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach. Int J Solids Struct 40(20):5423–5439CrossRef Qiu ZP, Wang XJ (2003) Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach. Int J Solids Struct 40(20):5423–5439CrossRef
3.
go back to reference Qiu ZP, Elishakoff I (2001) Anti-optimization technique—a generalization of interval analysis for nonprobabilistic treatment of uncertainty. Chaos, Solitons Fractals 12(9):1747–1759MathSciNetCrossRef Qiu ZP, Elishakoff I (2001) Anti-optimization technique—a generalization of interval analysis for nonprobabilistic treatment of uncertainty. Chaos, Solitons Fractals 12(9):1747–1759MathSciNetCrossRef
4.
go back to reference Han X, Jiang C, Gong S, Huang YH (2008) Transient waves in composite-laminated plates with uncertain load and material property. Int J Numer Meth Eng 75(3):253–274CrossRef Han X, Jiang C, Gong S, Huang YH (2008) Transient waves in composite-laminated plates with uncertain load and material property. Int J Numer Meth Eng 75(3):253–274CrossRef
5.
go back to reference Liu N, Gao W, Song CM, Zhang N, Pi Y-L (2013) Interval dynamic response analysis of vehicle-bridge interaction system with uncertainty. J Sound Vib 332(13):3218–3231CrossRef Liu N, Gao W, Song CM, Zhang N, Pi Y-L (2013) Interval dynamic response analysis of vehicle-bridge interaction system with uncertainty. J Sound Vib 332(13):3218–3231CrossRef
6.
go back to reference Wang C, Qiu ZP (2015) Interval analysis of steady-state heat convection–diffusion problem with uncertain-but-bounded parameters. Int J Heat Mass Transf 91:355–362CrossRef Wang C, Qiu ZP (2015) Interval analysis of steady-state heat convection–diffusion problem with uncertain-but-bounded parameters. Int J Heat Mass Transf 91:355–362CrossRef
7.
go back to reference Moore RE (1979) Methods and applications of interval analysis. Prenice-Hall, LondonCrossRef Moore RE (1979) Methods and applications of interval analysis. Prenice-Hall, LondonCrossRef
8.
go back to reference Qiu ZP (1994) Interval analysis method of static response of structures with uncertain parameters and the eigenvalue problem. PhD thesis, Jilin Industrial University, Changchun Qiu ZP (1994) Interval analysis method of static response of structures with uncertain parameters and the eigenvalue problem. PhD thesis, Jilin Industrial University, Changchun
9.
go back to reference Liu GR, Quek SS (2003) The finite element method: a practical course. Elsevier Science Ltd., EnglandMATH Liu GR, Quek SS (2003) The finite element method: a practical course. Elsevier Science Ltd., EnglandMATH
10.
go back to reference Zhou YT, Jiang C, Han X (2006) Interval and subinterval analysis methods of the structural analysis and their error estimations. Int J Comput Methods 3(2):229–244MathSciNetCrossRef Zhou YT, Jiang C, Han X (2006) Interval and subinterval analysis methods of the structural analysis and their error estimations. Int J Comput Methods 3(2):229–244MathSciNetCrossRef
11.
go back to reference Qiu ZP (2005) Convex method based on non-probabilistic set-theory and its application. National Defence Industry Press, Beijing Qiu ZP (2005) Convex method based on non-probabilistic set-theory and its application. National Defence Industry Press, Beijing
12.
go back to reference Jiang C (2008) Theories and algorithms of uncertain optimization based on interval. PhD thesis, Hunan University, Changsha Jiang C (2008) Theories and algorithms of uncertain optimization based on interval. PhD thesis, Hunan University, Changsha
13.
go back to reference Au FTK, Cheng YS, Tham LG, Zeng GW (2003) Robust design of structures using convex models. Comput Struct 81(28–29):2611–2619CrossRef Au FTK, Cheng YS, Tham LG, Zeng GW (2003) Robust design of structures using convex models. Comput Struct 81(28–29):2611–2619CrossRef
14.
go back to reference Jiang C, Han X, Liu GR (2007) Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Comput Methods Appl Mech Eng 196(49–52):4791–4800CrossRef Jiang C, Han X, Liu GR (2007) Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Comput Methods Appl Mech Eng 196(49–52):4791–4800CrossRef
15.
go back to reference Jiang C, Han X, Guan FJ, Li YH (2007) An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method. Eng Struct 29(11):3168–3177CrossRef Jiang C, Han X, Guan FJ, Li YH (2007) An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method. Eng Struct 29(11):3168–3177CrossRef
Metadata
Title
Interval Optimization Based on Interval Structural Analysis
Authors
Chao Jiang
Xu Han
Huichao Xie
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-8546-3_5