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Diffraction of plane waves by an infinitely long elastic rod floating on the surface of a liquid

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Abstract

The interaction of plane waves coming from infinity with an infinitely long elastic rod floating on the surface of a liquid is considered. The liquid is assumed to be ideal and have infinite depth. It is assumed that the rod cannot become separated from the liquid. The parameters of the waves that pass through the rod and are reflected from it are determined, and the force factors in the transverse sections of the rod are found.

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Literature cited

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    S. S. Voit, “Waves on the surface of a liquid produced by a moving periodic system of pressures,” Prikl Mat. Mekh.,21, No. 1 (1957).

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    A. P. Filippov, Oscillations of Mechanical Systems [in Russian], Naukova Dumka, Kiev (1965).

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    V. F. Vityuk and S. R. Klad'ko, “Effect of a periodic system of pressures on a floating plate of finite thickness,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1978).

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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 62–67, September–October, 1980.

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Kudryavtsev, E.P. Diffraction of plane waves by an infinitely long elastic rod floating on the surface of a liquid. Fluid Dyn 15, 683–687 (1980). https://doi.org/10.1007/BF01089640

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Keywords

  • Plane Wave
  • Transverse Section
  • Force Factor
  • Infinite Depth