Work

Constrained Cubic Grid Rigidity Decision with Directed Graph and Applications

Year: 2025

Type: article

Abstract: We present a rigidity decision problem of constrained cubic grids in any given bracing pattern. The cubic grid bar and joint frameworks are not rigid. Additional constraints are required for rigidity. These constraints can be pinned down joints and additional bracing elements. Scaffoldings are not rigid cubic grid structures whose specific joints are pinned down. Inserting cable, strut, or rod bracing elements makes the framework rigid. Our model, which provides a linearly complex algorithm, has practical implications in testing the strong connectedness of a corresponding directed graph, contributing to the field of rigidity in structural engineering and motions of cable controlled pinned down cubic mechanisms.

Source: Journal of Optimization Theory and Applications

DOI: 10.1007/s10957-025-02609-4

Authors: Anna Mária Takács, János Katona, Szabolcs Baják, Gyula Nagy Kem

Institutions: Budapest University of Economics and Business, Obuda University

Language: English

Topic: Structural Analysis and Optimization

Subfield: Civil and Structural Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Óbudai Egyetem