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Modelling Initial Imperfections using Scaled Buckling Modes: A Strain Energy and Entropy Approach
Version 1
: Received: 13 November 2023 / Approved: 13 November 2023 / Online: 14 November 2023 (11:14:55 CET)
A peer-reviewed article of this Preprint also exists.
Kala, Z. Strain Energy and Entropy Based Scaling of Buckling Modes. Entropy 2023, 25, 1630. Kala, Z. Strain Energy and Entropy Based Scaling of Buckling Modes. Entropy 2023, 25, 1630.
Abstract
A new utilization of entropy in the context of buckling is presented. The novel concept connecting strain energy and entropy for a pin-ended strut is derived. This concept rationalizes the ranking of buckling modes based on strain energy under the assumption of given entropy. By assigning identical entropy to all buckling modes, they can be ranked according to their deformation energy. Conversely, with identical strain energy assigned to all modes, ranking according to entropy is possible. Decreasing entropy was found to represent the scaling factors of buckling modes that coincide with the measurement of initial out-of-straightness imperfections in IPE160 beams. Applied to steel plane frames, scaled buckling modes can be used to model initial imperfections. It is demonstrated that the entropy (scale factor) for given energy roughly decreases with the inverse square of the mode index. For practical engineering, the study presents the possibility of using scaled buckling modes of steel plane frames to model initial geometric imperfections. Entropy proves to be a valuable complement to strain energy in structural mechanics.
Keywords
strain energy; entropy; buckling; structural mechanics; structural engineering; steel structures; initial imperfections
Subject
Engineering, Civil Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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