Polarization of the longitudinal Pochhammer-Chree waves

• Autorzy: Ilyashenko A. V. , Kuznetsov S. V.
• Języki publikacji: EN

Abstrakty

EN

The exact solutions of the linear Pochhammer-Chree equation for propagating harmonicwaves in a cylindrical rod, are analyzed. Spectral analysis of the matrix dispersionequation for longitudinal axially symmetric modes is performed. Analytical expressionsfor displacement fields are obtained. Variation of wave polarization on the free surfacedue to variation of Poisson's ratio and circular frequency is analyzed. It is observed thatat the phase speed coinciding with the bulk shear wave speed all the components of thedisplacement eld vanish, meaning that no longitudinal axisymmetric Pochhammer-Chree wave can propagate at this phase speed.

Słowa kluczowe

EN

Pochhammer-Chree waves; polarization; dispersion; spectral analysis

PL

fale Pochhammera-Chree; polaryzacja; dyspersja; analiza spektralna

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 4
• Strony: 1329--1336
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Ilyashenko A. V.

• Moscow State University of Civil Engineering, 26 Yaroslavscoe sh., Moscow, 117526, Russia

autor

Kuznetsov S. V.

• Institute for Problems in Mechanics, 101 Prosp. Verndskogo, Moscow, 129526, Russia

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).