Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

Volume 46, 2019 Volume 45, 2018 Volume 44, 2017 Volume 43, 2016 Volume 42, 2015 Volume 41, 2014 Volume 40, 2013 Volume 39, 2012 Volume 38, 2011 Volume 37, 2010 Volume 36, 2009 Volume 35, 2008 Volume 34, 2007 Volume 33, 2006 Volume 32, 2005 Volume 31, 2004 Volume 30, 2003 Volume 29, 2002 Volume 28, 2001 Volume 27, 2000 Volume 26, 1999 Volume 25, 1998 Volume 24, 1997 Volume 23, 1996 Volume 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v26.i5-6.130
pages 732-741

Extension of the Method of Cross Sections to the Problem of Wave Propagation in an Elastic Layer with Smoothly Varying Parameters

B. V. Galanenko
Kiev Polytechnic Institute, Kiev, Ukraine


The method of cross sections, usually employed in investigating liquid acoustic waveguides, is extended to the two-dimensional problem of wave motion of an elastic isotropic layer whose material and shape parameters change smoothly in the direction of wave propagation. The cross section operator, specified on a set four-dimensional vector-valued functions, whose components are the horizontal and vertical displacements, the component of the rotor and the divergence, is defined. Orthogonality equations for the operator's eigenfunctions are obtained and the equations of coupled modes are derived. The eigenvalues of a waveguide in the form of an elastic wedge are investigated.

Articles with similar content:

Control of Oscillations of Duffing Oscillator with Dual-Frequency Excitation
Journal of Automation and Information Sciences, Vol.36, 2004, issue 12
Natalya M. Zavrazhina, Tatyana V. Zavrazhina
Modeling a Non-Symmetrical Vertical Vibrator of Finite Thickness upon Axially Symmetric Excitation
Telecommunications and Radio Engineering, Vol.61, 2004, issue 1
V. N. Kochin
Excitation of Cylindrical Volumes with Impedance Butt-End Boundaries Using Longitudinal Currents
Telecommunications and Radio Engineering, Vol.58, 2002, issue 1&2
Yu. M. Penkin
Transmission of Sound through the Junction of a Plane and an Wedge-Shaped Waveguide
International Journal of Fluid Mechanics Research, Vol.26, 1999, issue 5-6
V. T. Matsypura
Modeling a Periodic Array of Radiators on a Cylindrical Surface
Telecommunications and Radio Engineering, Vol.60, 2003, issue 7-9
A. Ye. Svezhentsev