DYNAMIC CHARACTERISTICS AND MODE LOCALIZATION OF ELASTICALLY CONSTRAINED AXIALLY MOVING STRINGS AND BEAMS
✍ Scribed by C.H. Riedel; C.A. Tan
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 440 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
The free vibration response of an axially moving string and Euler-Bernoulli beam supported by an intermediate elastic constraint is studied. The transfer function method is used to formulate the free response solution. For the beam, the elastic constraint can consist of either a transverse spring or both transverse and rotational springs. The effects of both speed and tension on mode localization are studied. A wave analysis is employed to further investigate the behaviour of the systems. Reflection and transmission coefficients are formulated to show the effects of the system parameters on the coupling of the subsystems. The addition of the constraint is shown to increase the critical speed of the beam for low values of tension. For the string, mode localization increases as speed increases. However, the behaviour of the beam is shown to change significantly depending on both the system parameters and type of constraint. The effects of tension and speed on the delocalization frequency of the weakly bi-coupled beam are also presented.