Abstract
This paper deals with damage detection and vibration control of a smart structure. A finite element model of a cracked beam is established. This model is applied to a cantilever beam and the natural frequencies are determined for a different crack length and locations. This study proposes a method for the crack identification when the vibration of the beam is suppressed by using active control. Once cracks are present in structures, the control performance becomes worse. This is because both eigenvalue and eigenvector of the beam vary. So, in this study we design the gain-scheduled controller considering both the crack length and the location. To obtain the linear parameter-varying (LPV) model for controller design, its Frobenius norm is measured. The efficiencies of our crack identification method and the gain-scheduled controller design are verified by simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 1574-1582 |
| Number of pages | 9 |
| Journal | Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |
| Volume | 71 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2005 May |
| Externally published | Yes |
Keywords
- Damage Detection
- Gain Scheduling
- LMI
- Robust Control
- Vibration Control
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering