Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space
Equations of motion of extensible and shearable slender beams with large translational and rotational motions under external loads in three-dimensional space are first derived in a vector form. Boundary feedback controllers are then designed to ensure that the beams are practically K8-exponentially...
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| Format: | Journal Article |
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Elsevier Ltd
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/7107 |
| _version_ | 1848745271015505920 |
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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 | Equations of motion of extensible and shearable slender beams with large translational and rotational motions under external loads in three-dimensional space are first derived in a vector form. Boundary feedback controllers are then designed to ensure that the beams are practically K8-exponentially stable at the equilibrium. The control design, well-posedness, and stability analysis are based on two Lyapunov-type theorems developed for a class of evolution systems in Hilbert space. Numerical simulations on a slender beam immersed in sea water are included to illustrate the effectiveness of the proposed control design. |
| first_indexed | 2025-11-14T06:14:42Z |
| format | Journal Article |
| id | curtin-20.500.11937-7107 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:14:42Z |
| publishDate | 2017 |
| publisher | Elsevier Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-71072017-09-13T15:37:43Z Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space Do, Khac Duc Equations of motion of extensible and shearable slender beams with large translational and rotational motions under external loads in three-dimensional space are first derived in a vector form. Boundary feedback controllers are then designed to ensure that the beams are practically K8-exponentially stable at the equilibrium. The control design, well-posedness, and stability analysis are based on two Lyapunov-type theorems developed for a class of evolution systems in Hilbert space. Numerical simulations on a slender beam immersed in sea water are included to illustrate the effectiveness of the proposed control design. 2017 Journal Article http://hdl.handle.net/20.500.11937/7107 10.1016/j.jsv.2016.10.044 Elsevier Ltd restricted |
| spellingShingle | Do, Khac Duc Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space |
| title | Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space |
| title_full | Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space |
| title_fullStr | Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space |
| title_full_unstemmed | Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space |
| title_short | Modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space |
| title_sort | modeling and boundary control of translational and rotational motions of nonlinear slender beams in three-dimensional space |
| url | http://hdl.handle.net/20.500.11937/7107 |