Power, Stephen (2024) Equilibrium stresses and rigidity for infinite tensegrities and frameworks. Journal of Mathematical Analysis and Applications, 529 (1): 127655. ISSN 0022-247X
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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 fundedgeneral mathematicsanalysisapplied mathematics ??
Departments:
ID Code:
200549
Deposited By:
Deposited On:
03 Aug 2023 12:55
Refereed?:
Yes
Published?:
Published
Last Modified:
07 Aug 2024 00:34