Publication detail

Steel Plane Frames: Entropy and Potential Energy of Elastic Buckling Modes

KALA, Z.

Original Title

Steel Plane Frames: Entropy and Potential Energy of Elastic Buckling Modes

Type

conference paper

Language

English

Original Abstract

The article presents a new approach for modelling initial geometric imperfections as a linear combination of scaled buckling modes obtained from elastic buckling analysis. The scale of buckling modes is calculated using Shannon entropy and potential energy. The presented case study shows that the first buckling mode is dominant, and the scale of the other buckling modes decreases. The entropy calculated from deformation presents a new perspective on buckling modes. Entropy makes distinguishing the non-sway (symmetric) and sway (antisymmetric) buckling modes possible, which is valuable if the critical loads of non-sway and sway buckling modes are close or coincide. Coupling the entropy with the potential energy of the buckling modes provides a deeper insight into the behaviour of steel frames. This proposed methodology, incorporating entropy and potential energy, offers a new and promising approach for designing structurally robust and buckling-resistant systems, empowering engineers to optimize the performance and reliability of steel frames.

Keywords

Steel, frame, buckling, imperfection, entropy, potential energy

Authors

KALA, Z.

Released

25. 10. 2023

Publisher

Springer Cham (Spronger Nature Switzerland AG)

Location

Switzerland

ISBN

9783031446030

Book

Conference Proceedings - Modern Building Materials, Structures and Techniques MBMST 2023

ISBN

2366-2557

Periodical

Lecture Notes in Civil Engineering

Year of study

392

State

Swiss Confederation

Pages from

164

Pages to

173

Pages count

10

URL

https://link.springer.com/chapter/10.1007/978-3-031-44603-0_16

BibTex

@inproceedings{BUT187533,
  author="Zdeněk {Kala}",
  title="Steel Plane Frames: Entropy and Potential Energy of Elastic Buckling Modes",
  booktitle="Conference Proceedings - Modern Building Materials, Structures and Techniques
MBMST 2023",
  year="2023",
  journal="Lecture Notes in Civil Engineering",
  volume="392",
  pages="164--173",
  publisher="Springer Cham (Spronger Nature Switzerland AG)",
  address="Switzerland",
  doi="10.1007/978-3-031-44603-0\{_}16",
  isbn="9783031446030",
  issn="2366-2557",
  url="https://link.springer.com/chapter/10.1007/978-3-031-44603-0_16"
}