The transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem

P. F. Hou; H. J. Ding; A. Y T Leung

doi:10.1016/j.jsv.2005.05.022

The transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem

P. F. Hou, H. J. Ding, A. Y T Leung

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

33 Citations (Scopus)

Abstract

By virtue of the introduction of new dependent variable and the separation of variables technique, the transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder are transformed to two Volterra integral equations of the second kind of about two functions with respect to time. These integral equations can be solved successfully by means of the interpolation method. Then, the complete solutions of displacements, stresses, electric potential, electric displacements, magnetic potential and magnetic inductions are obtained. The present method is suitable for a magneto-electro-elastic hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric mechanical and electromagnetic loads. Numerical results are finally presented. © 2005 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	19-47
Journal	Journal of Sound and Vibration
Volume	291
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jsv.2005.05.022
Publication status	Published - 21 Mar 2006

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title = "The transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem",

abstract = "By virtue of the introduction of new dependent variable and the separation of variables technique, the transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder are transformed to two Volterra integral equations of the second kind of about two functions with respect to time. These integral equations can be solved successfully by means of the interpolation method. Then, the complete solutions of displacements, stresses, electric potential, electric displacements, magnetic potential and magnetic inductions are obtained. The present method is suitable for a magneto-electro-elastic hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric mechanical and electromagnetic loads. Numerical results are finally presented. {\textcopyright} 2005 Elsevier Ltd. All rights reserved.",

author = "Hou, {P. F.} and Ding, {H. J.} and Leung, {A. Y T}",

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TY - JOUR

T1 - The transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem

AU - Hou, P. F.

AU - Ding, H. J.

AU - Leung, A. Y T

PY - 2006/3/21

Y1 - 2006/3/21

N2 - By virtue of the introduction of new dependent variable and the separation of variables technique, the transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder are transformed to two Volterra integral equations of the second kind of about two functions with respect to time. These integral equations can be solved successfully by means of the interpolation method. Then, the complete solutions of displacements, stresses, electric potential, electric displacements, magnetic potential and magnetic inductions are obtained. The present method is suitable for a magneto-electro-elastic hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric mechanical and electromagnetic loads. Numerical results are finally presented. © 2005 Elsevier Ltd. All rights reserved.

AB - By virtue of the introduction of new dependent variable and the separation of variables technique, the transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder are transformed to two Volterra integral equations of the second kind of about two functions with respect to time. These integral equations can be solved successfully by means of the interpolation method. Then, the complete solutions of displacements, stresses, electric potential, electric displacements, magnetic potential and magnetic inductions are obtained. The present method is suitable for a magneto-electro-elastic hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric mechanical and electromagnetic loads. Numerical results are finally presented. © 2005 Elsevier Ltd. All rights reserved.

UR - http://www.scopus.com/inward/record.url?scp=30344450834&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-30344450834&origin=recordpage

U2 - 10.1016/j.jsv.2005.05.022

DO - 10.1016/j.jsv.2005.05.022

M3 - RGC 21 - Publication in refereed journal

SN - 0022-460X

VL - 291

SP - 19

EP - 47

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1-2

ER -

The transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem

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