Abstract
Stability in transverse parametric vibration of axially accelerating viscoelastic beams is investigated. The governing equation is derived from the viscoelastic constitution relation used material derivative, not simple the partial time derivative. The method of multiple scales is applied directly to the governing without discretization to determine the instability boundary due to parametric resonance. Results are compared to previous work in which the partial time derivative was used in the viscoelastic constitutive relation. Numerical simulations show the effects of the two viscoelastic constitutive relations on the instability boundaries.
| Original language | English |
|---|---|
| Pages (from-to) | 884-887 |
| Number of pages | 4 |
| Journal | Jixie Qiangdu/Journal of Mechanical Strength |
| Volume | 30 |
| Issue number | 6 |
| State | Published - Dec 2008 |
| Externally published | Yes |
Keywords
- Axially moving beam
- Material derivative
- Parametric resonance
- Stability
- The method of multiple scales
- Viscoelasticity
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