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Thin rod elastic oscillations resonance interaction mathematic modeling with shear flow «Small water»

Thin rod elastic oscillations resonance interaction mathematic modeling with shear flow «Small water»

Abstract

Показано, что резонансное взаимодействие тонкого стержня со сдвиговым течением «мелкой воды» приводит к развитию ветровой неустойчивости. Получены дисперсионное уравнение и инкремент неустойчивости. С уменьшением «скорости звука» происходит уменьшение диапазона длин волн, в котором существует неустойчивость. Приведены численные оценки частоты и инкремента волн изгиба для различных параметров течения.This is a research of the resonance interaction of a thin rod with shear flow «small water» section which brings to development of wind instability. The dispersion equation and increment of instability is given here. Wave band with instability is being diminished by diminution of acoustic speed. The authors also present the numeric evaluations of frequency and increment of flexural waves for different parameters of flow.

Keywords

ВЕТРОВАЯ НЕУСТОЙЧИВОСТЬ, НЕУСТОЙЧИВОСТЬ КЕЛЬВИНА ГЕЛЬМГОЛЬЦА, ИНКРЕМЕНТ, ДИСПЕРСИОННОЕ УРАВНЕНИЕ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average