國立高雄大學圖資館 |

登入

回首頁

Magnetoelastic vibrations and stability of magnetically active plates and shells

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Magnetoelastic vibrations and stability of magnetically active plates and shellsby Gevorg Y. Baghdasaryan, Marine A. Mikilyan.
作者:	Baghdasaryan, Gevorg Y.
其他作者:	Mikilyan, Marine A.
出版者:	Cham :Springer Nature Switzerland :2024.
面頁冊數:	xiii, 273 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	MagnetostrictionMathematical models.
電子資源:	https://doi.org/10.1007/978-3-031-60307-5
ISBN:	9783031603075$q(electronic bk.)

Magnetoelastic vibrations and stability of magnetically active plates and shells
Baghdasaryan, Gevorg Y.

Magnetoelastic vibrations and stability of magnetically active plates and shells[electronic resource] /by Gevorg Y. Baghdasaryan, Marine A. Mikilyan. - Cham :Springer Nature Switzerland :2024. - xiii, 273 p. :ill., digital ;24 cm.

Basic equations and relations of magnetoelasticity of magnetically active deformable bodies -- Vibrations and stability of soft ferromagnetic plates in magnetic field -- Effects of magnetoelastic interactions in soft magnetic cylindrical shells -- Interaction of superconducting cylindrical shell with magnetic fields -- Issues of magnetoelastic interactions in spherical shells -- Effects of magnetoelastic interactions in magnetostrictive rectangular plates -- Vibrations and stability of magnetostrictive rectangular plates in a magnetic field -- Aeromagnetic-elastic interactions in dielectrical plate.

This book introduces the reader to methods of mathematical modeling and solving non-stationary (dynamic) problems of the theory of magnetoelasticity, as well as to give an idea of the wealth of physical effects caused by the interaction of electromagnetic and mechanical phenomena in magnetically active elastic thin bodies. The studies are mainly limited to a model of isotropic body under the assumption of small deformations. In the first chapter of the book, based on the basic connected nonlinear equations and relations of mechanics and quasi-static electrodynamics of continuum media, a system of equations of magnetoelasticity, surface conditions, and governing equations describing the behavior of disturbances in a magnetoactive medium interacting with an external magnetic field is obtained. On this basis, in Chapters 2 and 3, using the main equations and relations of magnetoelastic vibrations and stability of magnetically soft, thin plates and shells are obtained. By solving specific applied problems, a number of qualitative and quantitative results were identified, caused by the interaction of mechanical and magnetic phenomena in ferromagnetic thin bodies. An approximate formula is obtained to determine magnetohydrodynamic pressure on the oscillating surfaces of plate flowing by supersonic flow of perfectly conducting gas in the presence of magnetic field. This formula is the generalization of well-known formula obtained on the basis of the classical piston theory of gas dynamics in the case of magneto-gas-dynamic flow. On this basis, it became possible to solve complex problems of zero magnetoelasticity. In the 4th and 5th chapters magnetoelastic processes in superconducting thin shells located in stationary and non-stationary magnetic fields are studied. Two-dimensional equations and corresponding conditions are obtained, which characterize vibrations and stability of superconducting cylindrical and spherical shells under the influence of the given magnetic field. By solving specific problems, the possibility of loss of both static and dynamic stability of thin superconducting bodies under the influence of external magnetic field has been established. The sixth chapter is devoted to mathematical modeling and investigation of issues of dynamics of magnetostrictive plates in magnetic fields (stationary and non-stationary) of several orientations. To study the processes of magnetoelastic interaction in the plate under consideration with complex physical properties of its material, the main postulates of the classical theories and methods were used. The influence of plate in-homogeneity on the processes under consideration was also studied.

ISBN: 9783031603075$q(electronic bk.)

Standard No.: 10.1007/978-3-031-60307-5doiSubjects--Topical Terms:

969797
Magnetostriction
--Mathematical models.

LC Class. No.: QC754.2.M36 / B34 2024

Dewey Class. No.: 538.3

Magnetoelastic vibrations and stability of magnetically active plates and shells
LDR:04332nmm a2200325 a 4500 001 658581
003 DE-He213
005 20240626125342.0
006 m d
007 cr nn 008maaau
008 240923s2024 sz s 0 eng d
020 $a 9783031603075$q(electronic bk.)
020 $a 9783031603068$q(paper)
024 7 $a 10.1007/978-3-031-60307-5 $2 doi
035 $a 978-3-031-60307-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QC754.2.M36 $b B34 2024
072 7 $a PHD $2 bicssc
072 7 $a SCI065000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 538.3 $2 23
090 $a QC754.2.M36 $b B144 2024
100 1 $a Baghdasaryan, Gevorg Y. $3 969795
245 1 0 $a Magnetoelastic vibrations and stability of magnetically active plates and shells $h [electronic resource] / $c by Gevorg Y. Baghdasaryan, Marine A. Mikilyan.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xiii, 273 p. : $b ill., digital ; $c 24 cm.
505 0 $a Basic equations and relations of magnetoelasticity of magnetically active deformable bodies -- Vibrations and stability of soft ferromagnetic plates in magnetic field -- Effects of magnetoelastic interactions in soft magnetic cylindrical shells -- Interaction of superconducting cylindrical shell with magnetic fields -- Issues of magnetoelastic interactions in spherical shells -- Effects of magnetoelastic interactions in magnetostrictive rectangular plates -- Vibrations and stability of magnetostrictive rectangular plates in a magnetic field -- Aeromagnetic-elastic interactions in dielectrical plate.
520 $a This book introduces the reader to methods of mathematical modeling and solving non-stationary (dynamic) problems of the theory of magnetoelasticity, as well as to give an idea of the wealth of physical effects caused by the interaction of electromagnetic and mechanical phenomena in magnetically active elastic thin bodies. The studies are mainly limited to a model of isotropic body under the assumption of small deformations. In the first chapter of the book, based on the basic connected nonlinear equations and relations of mechanics and quasi-static electrodynamics of continuum media, a system of equations of magnetoelasticity, surface conditions, and governing equations describing the behavior of disturbances in a magnetoactive medium interacting with an external magnetic field is obtained. On this basis, in Chapters 2 and 3, using the main equations and relations of magnetoelastic vibrations and stability of magnetically soft, thin plates and shells are obtained. By solving specific applied problems, a number of qualitative and quantitative results were identified, caused by the interaction of mechanical and magnetic phenomena in ferromagnetic thin bodies. An approximate formula is obtained to determine magnetohydrodynamic pressure on the oscillating surfaces of plate flowing by supersonic flow of perfectly conducting gas in the presence of magnetic field. This formula is the generalization of well-known formula obtained on the basis of the classical piston theory of gas dynamics in the case of magneto-gas-dynamic flow. On this basis, it became possible to solve complex problems of zero magnetoelasticity. In the 4th and 5th chapters magnetoelastic processes in superconducting thin shells located in stationary and non-stationary magnetic fields are studied. Two-dimensional equations and corresponding conditions are obtained, which characterize vibrations and stability of superconducting cylindrical and spherical shells under the influence of the given magnetic field. By solving specific problems, the possibility of loss of both static and dynamic stability of thin superconducting bodies under the influence of external magnetic field has been established. The sixth chapter is devoted to mathematical modeling and investigation of issues of dynamics of magnetostrictive plates in magnetic fields (stationary and non-stationary) of several orientations. To study the processes of magnetoelastic interaction in the plate under consideration with complex physical properties of its material, the main postulates of the classical theories and methods were used. The influence of plate in-homogeneity on the processes under consideration was also studied.
650 0 $a Magnetostriction $x Mathematical models. $3 969797
650 1 4 $a Continuum Mechanics. $3 913390
650 2 4 $a Computational Materials Science. $3 924046
650 2 4 $a Magnetism. $3 203348
700 1 $a Mikilyan, Marine A. $3 969796
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-60307-5
950 $a Physics and Astronomy (SpringerNature-11651)