Abstract
Vibration and stability are investigated for an axially moving beam constrained by a pinned end and a fixed end. A scheme is proposed to derive natural frequencies and modal functions of a beam under the given boundary conditions and moving axially at a constant speed. When the axial speed varies harmonically about a constant mean one, the method of multiple scales is applied to the axially moving beam to determine the instability boundary due to parametric resonance. Numerical simulations show the effects of related parameters on the natural frequencies and the instability boundaries.
| Original language | English |
|---|---|
| Pages (from-to) | 654-657 |
| Number of pages | 4 |
| Journal | Jixie Qiangdu/Journal of Mechanical Strength |
| Volume | 28 |
| Issue number | 5 |
| State | Published - Oct 2006 |
| Externally published | Yes |
Keywords
- Axially moving beam
- Modal function
- Natural frequency
- Stability
- The method of multiple scales
- Transverse vibration
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