Modelling and boundary control of slender curved beams
Modelling and boundary control of extensible and shearable slender curved beams in flow with large in-plane deflection are addressed in this paper. Equations of motion of the beams are derived based on the difference between purely geometric deformation and actual deformation from the reference and...
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| Format: | Journal Article |
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Taylor & Francis
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/61350 |
| _version_ | 1848760681503916032 |
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| author | Do, Khac Duc |
| author_facet | Do, Khac Duc |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Modelling and boundary control of extensible and shearable slender curved beams in flow with large in-plane deflection are addressed in this paper. Equations of motion of the beams are derived based on the difference between purely geometric deformation and actual deformation from the reference and actual configurations to a virtual straight configuration. Two control designs based on the Lyapunov direct method are proposed for curved beams with both small and large curvature. The proposed boundary controllers guarantee globally (practically) (Formula presented.)-exponential stabilisation of the beam's motions at the origin. Two Lyapunov-type theorems are developed for nonlinear evolution systems in Hilbert space for analysis of well posedness and stability of the closed-loop system. |
| first_indexed | 2025-11-14T10:19:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-61350 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:19:39Z |
| publishDate | 2017 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-613502018-08-09T05:27:14Z Modelling and boundary control of slender curved beams Do, Khac Duc Modelling and boundary control of extensible and shearable slender curved beams in flow with large in-plane deflection are addressed in this paper. Equations of motion of the beams are derived based on the difference between purely geometric deformation and actual deformation from the reference and actual configurations to a virtual straight configuration. Two control designs based on the Lyapunov direct method are proposed for curved beams with both small and large curvature. The proposed boundary controllers guarantee globally (practically) (Formula presented.)-exponential stabilisation of the beam's motions at the origin. Two Lyapunov-type theorems are developed for nonlinear evolution systems in Hilbert space for analysis of well posedness and stability of the closed-loop system. 2017 Journal Article http://hdl.handle.net/20.500.11937/61350 10.1080/00207179.2017.1334265 Taylor & Francis restricted |
| spellingShingle | Do, Khac Duc Modelling and boundary control of slender curved beams |
| title | Modelling and boundary control of slender curved beams |
| title_full | Modelling and boundary control of slender curved beams |
| title_fullStr | Modelling and boundary control of slender curved beams |
| title_full_unstemmed | Modelling and boundary control of slender curved beams |
| title_short | Modelling and boundary control of slender curved beams |
| title_sort | modelling and boundary control of slender curved beams |
| url | http://hdl.handle.net/20.500.11937/61350 |