## Abstract

This paper concerns the control of flexural vibrations in smart beams subject to external and inertial forces. Exemplarily, a flexible beam with integrated piezoelectric actuators is considered. The equations of motion are derived within the framework of Bernoulli-Euler beam theory considering arbitrary large rigid-body motions with super-imposed small elastic deformations. From the equations of motion the shape control solution is derived, i.e. the necessary distribution of actuation strains is computed in order to completely compensate the flexible vibrations of the beam. This shape control solution represents a feed-forward control strategy. Additionally, a feedback control algorithm is implemented in order to compensate the remaining vibrations. Experimental results for an aluminium beam of rectangular cross-section with a number of 18 piezoelectric patches are presented, showing a significant reduction of the flexible vibrations with the help of the implemented control algorithm.

Original language | English |
---|---|

Title of host publication | Proceedings of the 10th International Conference on Computational Structures Technology, CST 2010 |

Publisher | Civil-Comp Press |

Volume | 93 |

ISBN (Print) | 9781905088386 |

Publication status | Published - 2010 |

Externally published | Yes |

Event | 10th International Conference on Computational Structures Technology, CST 2010 - Valencia, Spain Duration: 14 Sep 2010 → 17 Sep 2010 |

### Conference

Conference | 10th International Conference on Computational Structures Technology, CST 2010 |
---|---|

Country | Spain |

City | Valencia |

Period | 14.09.2010 → 17.09.2010 |

## Keywords

- Bernoulli-euler beam
- Piezoelectric patches
- Piezoelectric sensing and actuation
- Rigid-body motion
- Shape control
- Vibration control