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.

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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
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article

Infinitesimal Rigidity Analysis of a Bar-Joint Framework With Connected Braced Triangles

Ghada Badri
European Journal of Pure and Applied Mathematics
Structural Analysis and Optimization
article

Infinitesimal Rigidity Analysis of a Bar-Joint Framework With Connected Braced Triangles

Ghada Badri
article en

Abstract

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.

European Journal of Pure and Applied MathematicsVol. 17(4)
Umm al-Qura University (SA)
Openalex Percentile: Top 77%
Structural Analysis and Optimization
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