TRAVELING WAVE DYNAMICS IN A TRANSLATING STRING COUPLED TO STATIONARY CONSTRAINTS: ENERGY TRANSFER AND MODE LOCALIZATION
✍ Scribed by S.-Y. Lee; C.D. Mote; Jr.
- Book ID
- 102607811
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 302 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
Energy transfer and mode localization in a translating string, coupled to a stationary spring-mass-damper system, are analyzed using traveling waves. The string tension and the non-conservative centrifugal force at the constraint lead to energy transfer between the translating continuum and the stationary constraint. By calculating energy contained in a harmonic wave before and after interacting with the constraint, energy transferred at the constraint is quantified in terms of constraint parameters. At an undamped constraint, energy is transmitted when a downstream (forward) wave impinges on the constraint. At a damped constraint, energy dissipated by damping, as well as energy flux by the tension and centrifugal force, contribute to the energy variation at the coupling point. When the damping coefficient of the damped constraint equals twice the impedance of the string, vibration energy is maximally dissipated. Asymmetry caused by the constraint localizes vibration modes into a downstream or upstream region. The degree of localization in each vibration mode is described in terms of the reflection coefficient and the constraint location. The effect of the constraint parameters on the mode localization and veering of natural frequency loci are also examined.