Work

Universal Rigidity of Ladders on the Line

Year: 2024

Type: article

Abstract: In [3] it is shown, answering a question of Jordán and Nguyen [9], that universal rigidity of a generic bar-joint framework in ℝ1 depends on more than the ordering of the vertices. The graph 𝐺 that was used in that paper is a ladder with three rungs. Here we provide a general answer when that ladder with three rungs in the line is universally rigid and when it is not.

Source: Studia Scientiarum Mathematicarum Hungarica

DOI: 10.1556/012.2024.04322

Authors: Bryan Gin-ge Chen, Robert Connelly, Steven J. Gortler, Anthony Nixon, Louis Theran

Institutions: University of Pennsylvania, Cornell University, Harvard University, Lancaster University, University of St Andrews

Language: English

Topic: Structural Analysis and Optimization

Subfield: Civil and Structural Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Harvard University, Engineering and Physical Sciences Research Council

Awards: FRG: Collaborative Research: Stability of Structures Large and Small, CAREER: Flow, Failure, fluctuations and the Topology of Vascular Networks, G7852429223