Abstract
From material nonlinearity to influence from geometrical nonlinearity. For Large displacements but still with linear strains, the solution to the Elastica is derived. The modified data for length and moment of inertia, just before buckling, also influence the determined buckling load. An example of a column, build up of truss bars, is presented with analytical result as well as a numerical 2D truss model. Linear elastic snap-through of von Mises truss is the final part of the chapter.
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© 2018 Springer International Publishing AG
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Wiggers, S.L., Pedersen, P. (2018). Large Displacements, Pre-buckling Strains, and Snap-Through. In: Structural Stability and Vibration. Springer Tracts in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-72721-9_12
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DOI: https://doi.org/10.1007/978-3-319-72721-9_12
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-72720-2
Online ISBN: 978-3-319-72721-9
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