Infinitesimal Rigidity Analysis of a Bar-Joint Framework With Connected Braced Triangles
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.
Authors
- Ghada Badri (ORCID: https://orcid.org/0000-0002-4235-6967)
Institutions
- Umm al-Qura University (SA)
Publication Details
- Journal
- European Journal of Pure and Applied Mathematics
- Published
- 2024-10-31
- DOI
- https://doi.org/10.29020/nybg.ejpam.v17i4.5290
- Primary Topic
- Structural Analysis and Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.00