Skip to main content
SpringerLink
Log in
Book cover

Optimierung mechanischer Strukturen pp 61–124Cite as

Optimierungsverfahren

  • Chapter
  • First Online:

  • 4546 Accesses

Zusammenfassung

In diesem Kapitel werden allgemein einsetzbare Optimierungsverfahren beschrieben, die aber bereits mit dem Fokus auf die Optimierung mechanischer Strukturen behandelt werden.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   59.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Literatur

  • Achtert E (2007) Hierarchical subspace clustering, Dissertation, LMU München

    Google Scholar 

  • Adeli H (1994) Advances in design optimization. Chapman & Hall, London

    Book  Google Scholar 

  • Arora JS (2016) Introduction to optimum design, 4. Aufl. Elsevier, London

    Google Scholar 

  • Baier H, Seeßelberg C, Specht B (1994) Optimierung in der Strukturmechanik. Vieweg, Wiesbaden

    Book  Google Scholar 

  • Christensen PW, Klarbring A (2009) An introduction to structural optimization. Springer, Berlin

    MATH  Google Scholar 

  • Dakin RJ (1965) A tree-search algorithm for mixed integer programming problems. Comput J 8(3):250–255

    Article  MathSciNet  Google Scholar 

  • Diez C, Harzheim L, Schumacher A (2016) Effiziente Wissensgenerierung zur Robustheitsuntersuchung von Fahrzeugstrukturen mittels Modellreduktion und Ähnlichkeitsanalyse, VDI-Berichte 2279

    Google Scholar 

  • Diez C, Kunze P, Toewe D, Wieser C, Harzheim L, Schumacher A (2018) Big-Data based rule-finding for analysis of crash simulations. In: Schumacher A, Vietor T, Fiebig S, Bletzinger KU, Maute K (Hrsg) Advances in structural and multidisciplinary optimization. Springer Nature, Cham, S 396–410

    Chapter  Google Scholar 

  • Diez C (2019) Process for Extraction of Knowledge from Crash Simulations by means of Dimensionality Reduction and Rule Mining, Dissertation, Bergische Universität Wuppertal, https://d-nb.info/1182555063/34. Zugegriffen am 09.08.2020

  • Fletcher R, Reeves CM (1964) Function minimization by conjugate gradients. Comput J 7(2):149–154

    Article  MathSciNet  Google Scholar 

  • Fleury C (1989a) CONLIN: an efficient dual optimizer based on convex approximation concepts. Struct Optim 1:81–89

    Article  Google Scholar 

  • Fleury C (1989b) First and second order convex approximation strategies in structural optimization. Struct Optim 1:3–10

    Article  Google Scholar 

  • Karmarkar N (1984) A new polynomial-time algorithm for linear programming. Combinatorica 4(4):373–395

    Article  MathSciNet  Google Scholar 

  • Kirsch U (1993) Structural optimization. Springer, Berlin/Heidelberg/New York

    Book  Google Scholar 

  • Kölsch G (1992) Diskrete Optimierungsverfahren zur Lösung konstruktiver Problemstellungen im Werkzeugmaschinenbau. Fortschr.-Ber. VDI-Reihe 1, Nr. 213, Düsseldorf

    Google Scholar 

  • Krige DG (1951) A statistical approach to some mine valuation and allied problems on the Witwatersrand. J Chem Metall Min Soc S Afr 52:119–139

    Google Scholar 

  • Lautenschlager U (2000) Robuste Multikriterien-Strukturoptimierung mittels Verfahren des Statistischen Versuchsplanung. Dissertation, Universität-GH Siegen, FOMAAS, TIM-Bericht T16-05.00

    Google Scholar 

  • Ortmann C (2015) Entwicklung eines graphen- und heuristikbasierten Verfahrens zur Topologieoptimierung von Profilquerschnitten für Crashlastfälle. Dissertation an der Bergischen Uniuversität Wuppertal, Shaker

    Google Scholar 

  • Ortmann C, Schumacher A (2013) Graph and heuristic based topology optimization of crash loaded structures. J Struct Multidiscip Optim 47:839–854

    Article  Google Scholar 

  • Parkinson A, Wilson M (1986) Development of a hybrid SQP-GRG-Algorithm for constrained nonlinear programming. Design Eng. Technical Conference, Ohio, Oct. 5–8, 1986

    Google Scholar 

  • Powell MJD (1982) VMCWD: A FORTRAN Subroutine for Constrained Optimization. Report DANTP 1982/NA4, University of Cambridge

    Google Scholar 

  • Rasmussen CE, Williams KI (2006) Gaussian processes for machine learning. MIT, Cambridge, MA

    MATH  Google Scholar 

  • Rechenberg T (1973) Evolutionsstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. Frommann-Holzboog, Stuttgart

    Google Scholar 

  • Reuter R, Hoffmann R (2000) Bewertung von Berechnungsergebnissen mittels Stochastischer Simulationsverfahren, VDI-Berichte Nr. 1559, 275–297

    Google Scholar 

  • Schäfer E (1990) Interaktive Strategien zur Bauteiloptimierung bei mehrfacher Zielsetzung und Diskretheitsforderungen. Fortschr.-Ber. VDI-Reihe 1, Nr. 197, Düsseldorf

    Google Scholar 

  • Schittkowski K (1980) Nonlinear programming codes. Lecture Notes in Electronics and Mathematical Systems. Springer, Berlin/New York

    Google Scholar 

  • Schumacher A, Ortmann C (2013) Rule generation for optimal topology changes of crash-loaded structures, Proceedings of the 10th world congress on structural and multidisciplinary optimization, May 19–24, 2013, Orlando, Florida, USA

    Google Scholar 

  • Schumacher A, Ortmann C (2015) Combining state of the art meta-models for predicting the behavior of non-linear crashworthiness structures for shape and sizing optimizations. In: Li Q, Steven GP, Zhang Z (Hrsg) Advances in structural and multidisciplinary optimization, proceedings of the 11th world congress on structural and multidisciplinary optimization (WCSMO11). Sydney, S 477–488

    Google Scholar 

  • Schwefel HP (1995) Evolution and optimum seeking. Wiley, New York

    MATH  Google Scholar 

  • Svanberg K (1987) The Method Of Moving Asymptotes – a new method for structural optimization. Int J Numer Methods Eng 24:359–373

    Article  MathSciNet  Google Scholar 

  • Vanderplaats GN (1984) Numerical optimization techniques for engineering design: with applications. McGraw-Hill, New York

    MATH  Google Scholar 

  • Weise T (2009) Global optimization algorithms – theory and application. http://www.it-weise.de/projects/book.pdf. Zugegriffen am 09.08.2020

Download references

Author information

Authors and Affiliations

  1. Fakultät 7, Lehrstuhl für Optimierung mechanischer Strukturen, Bergische Universität Wuppertal, Wuppertal, Deutschland

    Axel Schumacher

Authors
  1. Axel Schumacher
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Axel Schumacher .

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer-Verlag Berlin Heidelberg

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Schumacher, A. (2020). Optimierungsverfahren. In: Optimierung mechanischer Strukturen. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-60328-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-60328-4_4

  • Published:

  • Publisher Name: Springer Vieweg, Berlin, Heidelberg

  • Print ISBN: 978-3-662-60327-7

  • Online ISBN: 978-3-662-60328-4

  • eBook Packages: Computer Science and Engineering (German Language)

Publish with us

Policies and ethics

Search

Navigation