Accepted author manuscript, 352 KB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
| Article number | 127655 |
|---|---|
| <mark>Journal publication date</mark> | 1/01/2024 |
| <mark>Journal</mark> | Journal of Mathematical Analysis and Applications |
| Issue number | 1 |
| Volume | 529 |
| Publication Status | Published |
| Early online date | 21/08/23 |
| <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.