Articles | Volume 11, issue 9
https://doi.org/10.5194/wes-11-3137-2026
https://doi.org/10.5194/wes-11-3137-2026
Research article
 | 
31 Aug 2026
Research article |  | 31 Aug 2026

Geometric nonlinear analysis of Timoshenko beams with variable cross-section using co-rotational formulation

Xin Guo, Hailiang Feng, Jiajun Hou, Yanpei Gao, Dongsheng Li, and Peng Guo

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Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2025-180', Anonymous Referee #1, 11 Nov 2025
    • AC1: 'Reply on RC1', Yanpei Gao, 17 Nov 2025
      • RC2: 'Reply on AC1', Anonymous Referee #1, 17 Nov 2025
  • RC3: 'Comment on wes-2025-180', Anonymous Referee #2, 09 Jan 2026
  • RC6: 'Comment on wes-2025-180', Anonymous Referee #3, 17 Jan 2026

Peer review completion

AR – Author's response | RR – Referee report | ED – Editor decision | EF – Editorial file upload
AR by Yanpei Gao on behalf of the Authors (11 Feb 2026)  Author's response   Author's tracked changes   Manuscript 
ED: Reconsider after major revisions (25 Feb 2026) by Weifei Hu
AR by Yanpei Gao on behalf of the Authors (30 Mar 2026)  Author's response   Author's tracked changes   Manuscript 
ED: Referee Nomination & Report Request started (03 Apr 2026) by Weifei Hu
RR by Anonymous Referee #1 (04 Apr 2026)
RR by Anonymous Referee #3 (06 Apr 2026)
RR by Anonymous Referee #2 (10 Apr 2026)
ED: Publish as is (15 Apr 2026) by Weifei Hu
ED: Publish as is (26 Jun 2026) by Athanasios Kolios (Chief editor)
AR by Yanpei Gao on behalf of the Authors (01 Jul 2026)  Author's response   Manuscript 
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Short summary
In summary, this study develops and validates an advanced beam element formulation that successfully addresses two critical challenges in structural analysis: accurate modeling of variable cross-sections and robust simulation of geometric nonlinearity. The comprehensive validation framework demonstrates the method's reliability across multiple benchmark cases, establishing its potential for engineering applications requiring precise analysis of tapered beam structures under large deformations.
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