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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 393, Pages 211–223 (Mi znsl4625)

This article is cited in 2 papers

Propagation of normal waves in porous rod with opened pores on boundaries

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: Propagation of normal waves in porous cylindrical rod with opened pores on boundaries is investigated. For this medium the dispersion equation is derived. At low-frequency this equation has one root which is velocity of a normal wave. While in the case of porous rod with closed pores there are two low-frequency waves. At high-frequency the dispersion equation can have in specific parameters one root. With such velocity the Rayleigh wave propagates along free boundary of porous medium with opened pores. The indicated root can be absent. In this case the Rayleigh wave is absent.

Key words and phrases: porous rod, opened pores, unique rod wave, the Rayleigh wave can be absen.

UDC: 550.24

Received: 08.06.2011


 English version:
Journal of Mathematical Sciences (New York), 2012, 185:4, 630–637

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© Steklov Math. Inst. of RAS, 2024