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KALA, Z.
Originální název
Strain Energy and Entropy Based Scaling of Buckling Modes
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
A new utilization of entropy in the context of buckling is presented. The novel concept of connecting the strain energy and entropy for a pin-ended strut is derived. The entropy of the buckling mode is extracted through a surrogate model by decomposing the strain energy into entropy and virtual temperature. This concept rationalizes the ranking of buckling modes based on their 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 the modes, ranking according to entropy is possible. Decreasing entropy was found to represent the scaling factors of the buckling modes that coincide with the measurement of the 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 a given energy roughly decreases with the inverse square of the mode index. For practical engineering, this 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.
Klíčová slova
strain energy; entropy; buckling; structural mechanics; structural engineering; steel structures; initial imperfections
Autoři
Vydáno
6. 12. 2023
Nakladatel
MDPI
Místo
BASEL
ISSN
1099-4300
Periodikum
ENTROPY
Ročník
25
Číslo
12
Stát
Švýcarská konfederace
Strany od
1
Strany do
17
Strany počet
URL
https://www.mdpi.com/1099-4300/25/12/1630
Plný text v Digitální knihovně
http://hdl.handle.net/11012/245189
BibTex
@article{BUT187474, author="Zdeněk {Kala}", title="Strain Energy and Entropy Based Scaling of Buckling Modes", journal="ENTROPY", year="2023", volume="25", number="12", pages="1--17", doi="10.3390/e25121630", issn="1099-4300", url="https://www.mdpi.com/1099-4300/25/12/1630" }