The Design of Current Carrying Mechanisms Operating in a Magnetic Field

1978 ◽  
Vol 100 (3) ◽  
pp. 574-582
Author(s):  
W. S. Reed ◽  
W. D. Smith
Keyword(s):  
Magnetic Field ◽  
Numerical Model ◽  
Angular Velocity ◽  
Experimental Work ◽  
Equations Of Motion ◽  
Constant Angular Velocity ◽  
Constant Voltage ◽  
Constant Torque ◽  
Parametric Studies ◽  
Velocity Input

Extensions to earlier work presented on the electrodynamics of a planar mechanism moving in a magnetic field are considered in this paper. The effects of damping and self-fields are added to the equations of motion. These equations are then integrated numerically for an example design having a constant torque input, a constant angular velocity input, and a constant voltage input. The results of numerous parametric studies are then presented as a basis for design of these devices. Finally the results of experimental work are presented in order to verify the numerical model.

Geomagnetic dynamos

1958 ◽  
Vol 250 (986) ◽  
pp. 543-583 ◽  
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Equations Of Motion ◽  
Conducting Fluid ◽  
Earth’S Magnetic Field ◽  
Dynamo Theory ◽  
Dynamo Action ◽  
Earth’S Core ◽  
Earth's Core ◽  
Earth's Magnetic Field

The ‘dynamo theory’ ascribes the origin of the earth’s magnetic field to the dynamo action of motions in the conducting fluid of the earth’s core. This paper supports the theory by proving rigorously that it is possible to postulate a pattern of motions in a sphere filled with conducting fluid in such a way that the arrangement acts as a dynamo producing a magnetic field extending outside the conductor. The equations of motion of the fluid are ignored. The proof is given for a model consisting of two eddies in the earth’s core, and does no more than demonstrate that motions in a sphere filled with conducting fluid can act as a steady dynamo. It is certainly not suggested that the motions in the earth’s core are so simple. There is nothing pathological about the relative orientations of the angular velocity vectors of the two eddies which lead to dynamo action; in fact about half of the possible relative orientations work.

Aeroelastic analysis of a sandwich panel with partially treated magneto-rheological fluid core

2018 ◽  
Vol 30 (1) ◽  
pp. 140-154 ◽  
Author(s):  
Mojtaba Asgari ◽  
Mohammad Rayyat Rokn-Abadi ◽  
Masood Yousefi ◽  
Hassan Haddadpour
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Sandwich Panel ◽  
Equations Of Motion ◽  
Element Formulation ◽  
Aerodynamic Pressure ◽  
The Core ◽  
Fluid Core ◽  
Parametric Studies ◽  
Magneto Rheological

This study considers the aeroelastic instability of a partially treated magneto-rheological fluid sandwich panel in supersonic airflow. The linear first-order piston theory is used for modeling the aerodynamic pressure. Using classical Hamilton’s principle along with the finite element method, the equations of motion are derived. The critical value of the non-dimensional aerodynamic pressure is obtained by traditional p-method scheme. The validity of the finite element formulation is examined through comparison with those obtained from the assumed mode formulation and the available results in the literature. Various parametric studies including the effects of applied magnetic field, core and constraining layer thicknesses are examined for several configurations of the core at simply-supported and clamped–clamped boundary conditions. The results show that the critical non-dimensional aerodynamic pressure of the sandwich panel is influenced not only by the magnetic field strength, core and constraining layer thicknesses but also strongly by the configuration of the core.

scholarly journals ON MAGNETIC FIELDS IN ROTATING NUCLEAR MATTER CORES OF STELLAR DIMENSIONS

2012 ◽  
Vol 12 ◽  
pp. 58-67 ◽  
Author(s):  
KUANTAY BOSHKAYEV ◽  
MICHAEL ROTONDO ◽  
REMO RUFFINI
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Charge Distribution ◽  
Constant Angular Velocity ◽  
Classical Electrodynamics ◽  
Neutral System ◽  
Nuclear Density ◽  
Axis Of Symmetry ◽  
A Charge ◽  
The Magnetic Field

We consider a degenerate globally neutral system of stellar dimensions consisting of Nn neutrons, Np protons and Ne electrons in beta equilibrium. Such a system at nuclear density having mass numbers A ≈ 1057 can exhibit a charge distribution different from zero. We present the analysis in the framework of classical electrodynamics to investigate the magnetic field induced by this charge distribution when the system is allowed to rotate as a whole rigid body with constant angular velocity around the axis of symmetry.

The Effect of Rotation and Inhomogeneity on the Transient Magneto-Thermoviscoelastic Stresses in an Anisotropic Solid

2012 ◽  
Vol 79 (5) ◽  
Author(s):  
Mohamed Abdelsabour Fahmy
Keyword(s):  
Magnetic Field ◽  
Boundary Element Method ◽  
Angular Velocity ◽  
Boundary Element ◽  
Constant Angular Velocity ◽  
Anisotropic Solid ◽  
Fundamental Equations ◽  
Element Method

The main objective of this paper is to study the transient magneto-thermoviscoelastic stresses in a nonhomogeneous anisotropic solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about it with a constant angular velocity. The system of fundamental equations is solved by means of a dual-reciprocity boundary element method (DRBEM). The results indicate that the effects of inhomogeneity and rotation are very pronounced.

The flow due to a rotating disc

1934 ◽  
Vol 30 (3) ◽  
pp. 365-375 ◽  
Author(s):  
W. G. Cochran
Keyword(s):  
Angular Velocity ◽  
Viscous Fluid ◽  
Equations Of Motion ◽  
Steady Motion ◽  
Constant Angular Velocity ◽  
Incompressible Viscous Fluid ◽  
Polar Coordinates ◽  
Rotating Disc ◽  
Cylindrical Polar Coordinates ◽  
Image Position

1. The steady motion of an incompressible viscous fluid, due to an infinite rotating plane lamina, has been considered by Kármán. If r, θ, z are cylindrical polar coordinates, the plane lamina is taken to be z = 0; it is rotating with constant angular velocity ω about the axis r = 0. We consider the motion of the fluid on the side of the plane for which z is positive; the fluid is infinite in extent and z = 0 is the only boundary. If u, v, w are the components of the velocity of the fluid in the directions of r, θ and z increasing, respectively, and p is the pressure, then Kármán shows that the equations of motion and continuity are satisfied by taking

Mathematical modeling of Couette flow in anomalous thermoviscous liquid

2011 ◽  
Vol 8 (1) ◽  
pp. 143-152
Author(s):  
S.F. Khizbullina
Keyword(s):  
Mathematical Modeling ◽  
Angular Velocity ◽  
Numerical Experiment ◽  
Temperature Dependence ◽  
Steady Flow ◽  
Couette Flow ◽  
Outer Cylinder ◽  
Flow Regimes ◽  
Constant Angular Velocity ◽  
Coaxial Cylinders

The steady flow of anomalous thermoviscous liquid between the coaxial cylinders is considered. The inner cylinder rotates at a constant angular velocity while the outer cylinder is at rest. On the basis of numerical experiment various flow regimes depending on the parameter of viscosity temperature dependence are found.

OBSERVATION OF THE TRANSVERSE STERN–GERLACH EFFECT IN NEUTRAL POTASSIUM

1967 ◽  
Vol 45 (4) ◽  
pp. 1481-1495 ◽  
Author(s):  
Myer Bloom ◽  
Eric Enga ◽  
Hin Lew
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Reference Frame ◽  
Inhomogeneous Magnetic Field ◽  
Time Dependent ◽  
Effective Magnetic Field ◽  
Classical Analysis ◽  
At Resonance ◽  
Rotating Reference Frame

A successful transverse Stern–Gerlach experiment has been performed, using a beam of neutral potassium atoms and an inhomogeneous time-dependent magnetic field of the form[Formula: see text]A classical analysis of the Stern–Gerlach experiment is given for a rotating inhomogeneous magnetic field. In general, when space quantization is achieved, the spins are quantized along the effective magnetic field in the reference frame rotating with angular velocity ω about the z axis. For ω = 0, the direction of quantization is the z axis (conventional Stern–Gerlach experiment), while at resonance (ω = −γH0) the direction of quantization is the x axis in the rotating reference frame (transverse Stern–Gerlach experiment). The experiment, which was performed at 7.2 Mc, is described in detail.

The Anchor-Last Deployment Problem for Inextensible Mooring Lines

1975 ◽  
Vol 97 (3) ◽  
pp. 1046-1052 ◽  
Author(s):  
Robert C. Rupe ◽  
Robert W. Thresher
Keyword(s):  
Numerical Model ◽  
Equations Of Motion ◽  
Simultaneous Equations ◽  
Mooring Line ◽  
Integration Scheme ◽  
Lumped Mass ◽  
Mooring Lines ◽  
Concentrated Masses ◽  
Predictor Corrector ◽  
Lagrange’S Method

A lumped mass numerical model was developed which predicts the dynamic response of an inextensible mooring line during anchor-last deployment. The mooring line was modeled as a series of concentrated masses connected by massless inextensible links. A set of angles was used for displacement coordinates, and Lagrange’s Method was used to derive the equations of motion. The resulting formulation exhibited inertia coupling, which, for the predictor-corrector integration scheme used, required the solution of a set of linear simultaneous equations to determine the acceleration of each lumped mass. For the selected cases studied the results show that the maximum tension in the cable during deployment will not exceed twice the weight of the cable and anchor in water.

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