Detail publikace

Strain Energy and Entropy Based Scaling of Buckling Modes

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

KALA, Z.

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

17

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"
}