Equilibrium stresses and rigidity for infinite tensegrities and frameworks

Power, Stephen (2024) Equilibrium stresses and rigidity for infinite tensegrities and frameworks. Journal of Mathematical Analysis and Applications, 529 (1): 127655. ISSN 0022-247X

[thumbnail of RigidityOfInfiniteTensegrities_2B]

Text (RigidityOfInfiniteTensegrities_2B)
RigidityOfInfiniteTensegrities_2B.pdf - Accepted Version
Available under License Creative Commons Attribution.
Download (360kB)

Abstract

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.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Mathematical Analysis and Applications

Uncontrolled Keywords:

Research Output Funding/no_not_funded

Subjects:

?? tensegrityequilibrium stressrigidity of frameworksno - not fundedmathematics(all)analysisapplied mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

200549

Deposited By:

ep_importer_pure

Deposited On:

03 Aug 2023 12:55

Refereed?:

Yes

Published?:

Published

Last Modified:

19 Apr 2024 02:38

URI:

https://eprints.lancs.ac.uk/id/eprint/200549