Infinitesimal Rigidity Analysis of a Bar-Joint Framework With Connected Braced Triangles
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5290Keywords:
bar-joint framework, infinitesimal rigidity, non trivial flexAbstract
The aim of this paper is to provide detailed infinitesimal rigidity analysis of a planar infinite bar-joint framework consisting of connected braced triangles. This is achieved in a purely mathematical manner, using the infinitesimal flex condition, as we identify the non trivial infinitesimal flexes of the finite framework consisting of $n$ connected triangles. The result is then generalized to the infinite case leading to the identification of a base for the space of all infinitesimal flexes.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Ghada Matooq Badri
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.