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Wave motion in preloaded media. Analytical continuation of dispersion diagramстатья
- Авторы: Korolkov A.I., Shanin A.V.
- Сборник: INTER-NOISE and NOISE-CON Congress and Conference Proceedings
- Том: 8
- Год издания: 2020
- Издательство: Kjo
- Местоположение издательства: Seoul, Korea (South)
- Первая страница: 5125
- Последняя страница: 5132
- Аннотация: The simplest example of a preloaded media is an elastic cord anchored to a solid base by elastic elements. Wave motion in such a media are described by the Scalar Klein-Gordon equation. We analyse this equation using the concept of analytical continuation of dispersion diagram.Particularly, it is shown that the dispersion diagram is topologically equivalent to a tubeanalytically embedded in two-dimensional complex space. The corresponding Fourier integralis studied on this tube using the Cauchy’s theorem. The basic properties of the scalarKlein-Gordon equation are established.
- Добавил в систему: Корольков Андрей Игоревич