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Analytical Stability Considerations in Lightweight Design

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Encyclopedia of Continuum Mechanics

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Synonyms

Beams; Bifurcation buckling; Critical loads; Plates; Shells; Stability limit

Definitions

Lightweight structures are thin walled and/or slender; hence, they are prone to the occurrence of structural instabilities under various loading conditions. In this chapter analytical equations for estimating the critical loads of some important structures, such as beams, plates, and cylindrical shells, are presented. All equations discussed are based on a static stability criterion and limited to linear elastic material behavior.

Stability Criteria and Post-buckling Behavior

Depending on the stiffness of the structure and the loading conditions, different forms for the loss of structural stability can be observed involving bifurcation of equilibria, snap-through, snapback, and flutter instabilities. Reaching the plastic limit load can also be considered as an occurrence of a structural instability but is not further discussed within this chapter.

Bifurcation of equilibrium is...

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References

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Author information

Authors and Affiliations

  1. Institute of Lightweight Design and Structural Biomechanics, TU Wien, Vienna, Austria

    Melanie Todt & Franz G. Rammerstorfer

Authors
  1. Melanie Todt
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  2. Franz G. Rammerstorfer
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Corresponding author

Correspondence to Melanie Todt .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, QLD, Australia

    Andreas Öchsner

Section Editor information

  1. Institut für Leichtbau und Struktur-Biomechanik, TU Wien, Wien, Austria

    Franz G. Rammerstorfer

  2. Institut für Leichtbau und Struktur-Biomechanik, TU Wien, Wien, Austria

    Melanie Todt

  3. Institut für Leichtbau und Struktur-Biomechanik, TU Wien, Wien, Austria

    Isabella C. Skrna-Jakl

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Todt, M., Rammerstorfer, F.G. (2018). Analytical Stability Considerations in Lightweight Design. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_7-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_7-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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