Excitation of Spatially Developed Lamb Waves by a System of Body and Surface Loads (Part 1)

Principle and method for designing electroacoustic transducers operating in the mode of elastic wave excitation in isotropic solid bodies are discussed. Relations that completely define the entire set of eigenfunctions (normal waves) are derived by solving a homogeneous boundary-value problem of dyn...

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Bibliographic Details
Published in:International applied mechanics 2019-11, Vol.55 (6), p.660-680
Main Authors: Petrishchev, O. N., Romanyuk, M. I.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Boundary value problems
Classical Mechanics
Eigenvectors
Elastic waves
Elasticity
Electroacoustic transducers
Lamb waves
Mathematical analysis
Physics
Physics and Astronomy
Ultrasonic waves
Wave excitation
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Summary:Principle and method for designing electroacoustic transducers operating in the mode of elastic wave excitation in isotropic solid bodies are discussed. Relations that completely define the entire set of eigenfunctions (normal waves) are derived by solving a homogeneous boundary-value problem of dynamic elasticity. The basic solutions of the boundary-value problem of dynamic elasticity are considered assuming that the source of spatially developed Lamb waves is not axially symmetric. The complex roots of the dispersion equation for symmetric and antisymmetric Lamb waves are quantitatively estimated.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-019-00990-y