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

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5290

Keywords:

bar-joint framework, infinitesimal rigidity, non trivial flex

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.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Infinitesimal Rigidity Analysis of a Bar-Joint Framework With Connected Braced Triangles. (2024). European Journal of Pure and Applied Mathematics, 17(4), 3079-3092. https://doi.org/10.29020/nybg.ejpam.v17i4.5290