Path following using velocity-based approach in quasi-static analysis

Kusuma Chandrashekhara, Sudhanva (author), Zupan, Dejan (author)

In the present work, we propose a novel implementation of arc-length method for the computation of equilibrium paths for frame-like structures. We exploit the advantages of velocity-based beam formulations and adapt it to quasi-static analysis with path following control. We show that such formulation allows the arc-length control constraint equation to be directly employed in its originally defined differential form, while the arc-length parameter is replaced by time in our adaptation. This simplifies the treatment of the extended system of equations and its solution procedure. Our approach also enables the rotational degrees of freedom to be members of control parameters. The ability of the proposed method to successfully and efficiently compute complex equilibrium paths in post-buckling regime is demonstrated by several numerical examples.

• Language: English
• Keywords: nonlinear beams, three-dimensional rotations, post-buckling, arc-length method, critical points
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: 15 str.
• Numbering: Vol. 275, art. 112292
• PID: 20.500.12556/RUL-146659
• UDC: 624.04:624.072
• ISSN on article: 0020-7683
• DOI: 10.1016/j.ijsolstr.2023.112292
• COBISS.SI-ID: 154531075
• Publication date in RUL: 05.06.2023

Record is a part of a journal

• Title: International journal of solids and structures
• Shortened title: Int. j. solids struct.
• Publisher: Pergamon Press
• ISSN: 0020-7683
• COBISS.SI-ID: 997903

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: nelinearni nosilci, prostorske rotacije, obnašanje po uklonu, metoda ločne dolžine, kritične točke

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 860124
• Name: Joint Training on Numerical Modelling of Highly Flexible Structures for Industrial Applications
• Acronym: THREAD