Abstract
The paper focuses on the reflection characteristics of elastic beams having a periodically varying cross-sectional area. Assuming a weak sinusoidal variation of the beam cross-section along its axis, perturbation methods are employed to determine flexural resonance conditions and analyze the resonant destructive interaction of flexural waves with the periodic beam. This interaction is represented in the form of coupled-wave equations, which are solved analytically, together with relevant boundary conditions, at the ends of the periodic section of the beam. The reflection coefficient is then calculated for beams having different types of periodicity. This study is intended to provide guidelines to control passively the flexural vibration in beams.
| Original language | English |
|---|---|
| Pages (from-to) | 453-461 |
| Number of pages | 9 |
| Journal | Journal of Sound and Vibration |
| Volume | 199 |
| Issue number | 3 |
| DOIs | |
| State | Published - 23 Jan 1997 |
| Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering