Stress–strain state of flexible ring plates of variable stiffness in a magnetic field

Impact Factor: ISRA (India) = 4.971 ISI (Dubai, UAE) = 0.829 GIF (Australia) = 0.564 JIF = 1.500 SIS (USA) = 0.912 РИНЦ (Russia) = 0.126 ESJI (KZ) = 8.716 SJIF (Morocco) = 5.667 ICV (Poland) = 6.630 PIF (India) = 1.940 IBI (India) = 4.260 OAJI (USA) = 0.350 Philadelphia, USA 205 QR -Issue QR -ArticleAbstract: A nonlinear two-dimensional model of magnetoelasticity of a current-carrying cylindrical shell is constructed in the paper with account for anisotropy of conductive properties. It is assumed that the main directions of the anisotropy of shell material properties coincide with the directions of the corresponding coordinate axes, and it is believed that an anisotropic body is linear with respect to magnetic and electrical properties. A coupled system of nonlinear differential equations is obtained that describes the stress-strain state of flexible current-carrying cylindrical shells with anisotropy of conductive properties, under unsteady-state power and electromagnetic loads; a boundary-value problem is formulated.

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“…The system of equations (12) should be completed with initial conditions, boundary conditions, and conditions at infinity [1,3].…”

Section: Magnetoelastic Equationsmentioning

confidence: 99%

“…According to the results of [8][9][10][11][12][13][14][15][16][17], and considering the geometry of the shell, a complete system of equations in a curvilinear orthogonal coordinate system is derived; it allows mathematical description of a nonlinear two-dimensional model of…”

Section: Nonlinear Model Of Magneto-elasticity Of the Current-carmentioning

confidence: 99%

Nonlinear Vibrations of a Current-Carrying Anisotropic Cylindrical Shell in a Magnetic Field.

Indiaminov¹,

Kholjigitov²,

Narkulov³

2020

Theoretical & Applied Science

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“…In the mechanics of conjugate fields, an important place is occupied by the study of a continuous medium motion taking into account electromagnetic effects. Analysis of electromagnetic processes is possible only on the basis of a system of electrodynamic equations, together with material relationships.In recent decades, considerable attention in special literature has been devoted to the study of strain processes in electrically conductive bodies placed in an external constant magnetic field under the influence of force, thermal, and electromagnetic loads [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Magnetoelastic Vibrations of a Rod in a Magnetic Field.

Indiaminov¹,

Narkulov²,

Zarpullaev³

2020

Theoretical & Applied Science

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“…Expanding upon the studies [15][16][17], the present paper analyzes the effect of the tangential components of magnetic-flux density on the stress state of a current-carrying flexible circular cylinder with variable stiffness. According to the…”

mentioning

confidence: 99%

Effect of the tangential components of magnetic-flux density on the stress state of a flexible circular cylinder with variable stiffness

2011

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The effect of the tangential components of magnetic-flux density on the stress state of a circular cylindrical shell of variable stiffness is studied following a geometrically nonlinear problem statement. The cylindrical shell is subject to extraneous electric current and nonstationary mechanical loading Keywords: flexible circular cylindrical shell, magnetic field, magnetoelasticity Introduction. The interaction between mechanical and electromagnetic fields is intensively studied in solid mechanics. The physics behind this interaction is detailed in a number of courses on classical electrodynamics and solid state physics [4, 5, 7, 8, etc.]. Magnetic fields in metal members generate electrodynamic volume forces that may cause large strains at certain field parameters. A rigorous analysis of electromagnetic interaction involves solving the equations of motion and the equations of electrodynamics for an element (internal problem) and the equations of electrodynamics for vacuum (external problem). The general problem can be simplified in special cases, including the case where it is sufficient to solve the internal problem only.Among these classes of problems are problems for thin-walled current-carrying plates and shells in a strong external magnetic field. In nonlinear magnetoelasticity, it is of considerable interest to determine the stress-strain state of current-carrying plates and shells in variable electromagnetic fields.Expanding upon the studies [15][16][17], the present paper analyzes the effect of the tangential components of magnetic-flux density on the stress state of a current-carrying flexible circular cylinder with variable stiffness. According to the

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Stress–strain state of flexible ring plates of variable stiffness in a magnetic field

Cited by 20 publications

References 5 publications

Nonlinear Vibrations of a Current-Carrying Anisotropic Cylindrical Shell in a Magnetic Field.

Nonlinear Vibrations of a Current-Carrying Anisotropic Cylindrical Shell in a Magnetic Field.

Mathematical Modeling of Magnetoelastic Vibrations of a Rod in a Magnetic Field.

Effect of the tangential components of magnetic-flux density on the stress state of a flexible circular cylinder with variable stiffness

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