Publication detail

Strain Energy and Entropy Based Scaling of Buckling Modes

KALA, Z.

Original Title

Strain Energy and Entropy Based Scaling of Buckling Modes

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

strain energy; entropy; buckling; structural mechanics; structural engineering; steel structures; initial imperfections

Authors

KALA, Z.

Released

6. 12. 2023

Publisher

MDPI

Location

BASEL

ISBN

1099-4300

Periodical

ENTROPY

Year of study

25

Number

12

State

Swiss Confederation

Pages from

1

Pages to

17

Pages count

17

URL

https://www.mdpi.com/1099-4300/25/12/1630

Full text in the Digital Library

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"
}