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2020 | OriginalPaper | Chapter

Unsteady Axisymmetric Electro-Magneto-Elastic Oscillations of a Continuous Cylinder Under the External Displacement Field

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Abstract

In the present work is considered an axisymmetric time-dependent waves of an infinite cylindrical body. The body material is taken to be isotropic and electro magneto elastic. Piezoelectric effects are not taken into account. The deformation process is described by a system of equation with respect to radial and angular components of deformation of the body points in cylindrical coordinate system. In additional, it takes into account the effect of current density, surface charges, electric and magnetic fields. All parameters and ratios are reduced to dimensionless form. To solve the problem, are used the Fourier transformation of angles and the Laplace transformation of time. Then, the resulting expressions expansion in series in terms of a small parameter. The small parameter characterizes the relationship between mechanic and electro-magnetic fields. To move into the space of the originals using the inverse Laplace transformation via residue theorem.

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Metadata
Title
Unsteady Axisymmetric Electro-Magneto-Elastic Oscillations of a Continuous Cylinder Under the External Displacement Field
Authors
Vladimir Vestyak
Vasily Scherbakov
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47883-4_24

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