On Parametric Instability Boundaries of Axially Moving Beams with Internal Resonance
| Autor: | Xiao-Dong Yang, You-Qi Tang, Yuan-Xun Zhang |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Tension (physics) Mechanical Engineering Computational Mechanics 02 engineering and technology Mechanics 01 natural sciences Instability 020303 mechanical engineering & transports Modal 0203 mechanical engineering Zigzag Mechanics of Materials 0103 physical sciences Internal resonance Parametric oscillator Axial symmetry 010301 acoustics Parametric statistics |
| Zdroj: | Acta Mechanica Solida Sinica. 31:470-483 |
| ISSN: | 1860-2134 0894-9166 |
| Popis: | In this paper, the instability boundaries of an axially moving viscoelastic beam due to parametric resonance are revisited for the internal resonance case. The relation between the time-dependent tension and the time-dependent axial speed is constructed, which provides a new model in the study of axially moving material with pulsation parameters. The instability boundaries caused by the combination of parametric and internal resonances are studied using the method of multiple time scales. Some strange instability boundaries are detected when the internal resonance is considered. The phenomenon of local zigzag boundary contour is explained from the viewpoint of modal interactions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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