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Equilibrium stresses and rigidity for infinite tensegrities and frameworks

Research output: Contribution to Journal/MagazineJournal articlepeer-review

E-pub ahead of print
Article number127655
<mark>Journal publication date</mark>1/01/2024
<mark>Journal</mark>Journal of Mathematical Analysis and Applications
Issue number1
Publication StatusE-pub ahead of print
Early online date21/08/23
<mark>Original language</mark>English


Asymptotic equilibrium stresses are defined for countably infinite tensegrities and generalisations of the Roth-Whiteley characterisation of first-order rigidity are obtained. Generalisations of prestress stability and second order rigidity are given for countably infinite bar-joint frameworks and are shown to give sufficient conditions for continuous rigidity relative to certain prescribed motions. The proofs are based on a new short proof for finite frameworks that prestress stability ensures continuous rigidity.