Non-planar non-linear free transverse vibrations of a constant-tension string are investigated. Solutions for various whirling-type motions are found, including precessing elliptical whirling of an approximate sine arc and exact solutions for circular whirling involving elliptic integrals and embrac
Spatially localized free vibrations for a non-linear string model
β Scribed by Eduard Feireisl
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 494 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0170-4214
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β¦ Synopsis
Abstract
We prove the existence of infinitely many nonβzero timeβperiodic solutions (breathers) to the dispersive wave equation of the form magnified image which are localized in the spatial variable, that is magnified image
The main tool employed is the concentration compactness principle of P. L. Lions.
π SIMILAR VOLUMES
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In this paper, the non-linear free vibration of a string with large amplitude is considered. The initial tension, lateral vibration amplitude, cross-section diameter and the modulus of elasticity of the string have main e!ects on its natural frequencies. Increasing the lateral vibration amplitude ma
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