Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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

ABSTRACT

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:

The Reflection Principle in Two-Dimensional Boundary-Value Problems for the Helmholtz Equation
International Journal of Fluid Mechanics Research, Vol.26, 1999, issue 5-6
Ye. V. Lobova, Victor T. Grinchenko, A. M. Gomilko
RADIATION OF COMPLEX ELECTRIC AND MAGNETIC DIPOLES IN THE PRESENCE OF A PERFECTLY CONDUCTING DISK
Telecommunications and Radio Engineering, Vol.72, 2013, issue 10
Alexander I. Nosich, M. V. Balaban
Diffraction of H10-Wave by Stepped Rectangular Waveguide Coupling with Impedance Slot Iris
Telecommunications and Radio Engineering, Vol.63, 2005, issue 7-12
V. A. Katrich, M. V. Nesterenko, Yu. M. Penkin
Whispering-Gallery Modes in a Hemispherical Dielectric Cavity Resonator Placed on a Plane Substrate with Nonperfect Conductivity
Telecommunications and Radio Engineering, Vol.67, 2008, issue 1
Yu. F. Filippov
Radiation Characteristics of a Slot Antenna in a Hemispherical Bulge above a Perfectly Conducting Screen
Telecommunications and Radio Engineering, Vol.61, 2004, issue 2-6
R. I. Klimovich, Yu. M. Penkin