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Analytical Stability Considerations in Lightweight Design

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Synonyms

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

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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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Correspondence to Melanie Todt .

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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

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