AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Communications in Analysis and Mechanics Article
PDF (408.8 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures

Oscar Cosserat1( ), Loïc Le Marrec2
Georg-August-University Göttingen, Bunsenstraße 3-5, 37073, Göttingen, Germany
Univ Rennes, CNRS, IRMAR - UMR 6625, F-35000 Rennes, France
Show Author Information

Abstract

In the framework of Timoshenko beam, the material parameters were inherently prescribed on the material moving frame. In this regard, we derived the strong and weak formulations of the dynamics under finite transformation in Lagrangian coordinates. Accordingly, analytical mechanics tools were used to deduce a new Hamiltonian formulation of the model which proved to be remarkably simple and synthetic.

Keywords

Timoshenko beamgeometrically exact formulationlarge transformationLagrangian coordinatesHamiltonian mechanicsPoisson brackets
CLC number: 35F20, 74K10, 37K58

References

【1】
【1】
 
 
Crossref Google Scholar
Communications in Analysis and Mechanics
Volume 18 Issue 1,
March 2026
Pages 37-69
DOI: 10.3934/cam.2026002

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Cosserat O, Le Marrec L. Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures. Communications in Analysis and Mechanics, 2026, 18(1): 37-69. https://doi.org/10.3934/cam.2026002

8

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 03 April 2025
Revised: 25 September 2025
Accepted: 26 September 2025
Published: 12 January 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)