Electromagnetic Fields Theory of Electrical Machines Part II: Uniqueness Theorem for Time-Varying Electromagnetic Fields in Hysteretic Media

2005 ◽  
Vol 42 (2) ◽  
pp. 203-208 ◽  
Author(s):  
Saurabh Kr. Mukerji ◽  
Sandeep Kr. Goel ◽  
Sunil Bhooshan ◽  
Kartik Prasad Basu
Keyword(s):  
Boundary Conditions ◽  
Uniqueness Theorem ◽  
Unique Solution ◽  
Electromagnetic Fields ◽  
Bachelor's Degree ◽  
Electrical Machines ◽  
Time Varying ◽  
Initial Condition ◽  
Free Media ◽  
The Uniqueness Theorem

Conditions resulting in a unique solution of Maxwell's equations are investigated. For this purpose, time-varying electromagnetic fields in media exhibiting a linearized form of hysteresis are considered. The treatment is an extension of the uniqueness theorem for electromagnetic fields in hysteresis-free media. The major conclusions are that there is no initial condition for fields in lossy regions, however, boundary conditions must be satisfied for all values of time. The treatment presented may be useful to students preparing for a masters degree or final year bachelor's degree.

Influence of Axial Excitations and of Boundary Conditions on the Parametric Instability of a Beam

1995 ◽  
Author(s):  
Régis Dufour ◽  
Alain Berlioz ◽  
Thomas Streule
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Ritz Method ◽  
Parametric Instability ◽  
Experimental Tests ◽  
Time Varying ◽  
Periodic Force ◽  
Modal Reduction ◽  
Time Varying Parameter ◽  
The Stability

Abstract In this paper the stability of the lateral dynamic behavior of a pinned-pinned, clamped-pinned and clamped-clamped beam under axial periodic force or torque is studied. The time-varying parameter equations are derived using the Rayleigh-Ritz method. The stability analysis of the solution is based on Floquet’s theory and investigated in detail. The Rayleigh-Ritz results are compared to those of a finite element modal reduction. It shows that the lateral instabilities of the beam depend on the forcing frequency, the type of excitation and the boundary conditions. Several experimental tests enable the validation of the numerical results.

scholarly journals The uniqueness theorem for entanglement measures

2002 ◽  
Vol 43 (9) ◽  
pp. 4252-4272 ◽  
Author(s):  
Matthew J. Donald ◽  
Michał Horodecki ◽  
Oliver Rudolph
Keyword(s):  
Uniqueness Theorem ◽  
Entanglement Measures ◽  
The Uniqueness Theorem

A generalization of Levinson’s uniqueness theorem to the case of general boundary conditions

2014 ◽  
Vol 90 (3) ◽  
pp. 715-718
Author(s):  
V. A. Sadovnichii ◽  
Ya. T. Sultanaev ◽  
A. M. Akhtyamov
Keyword(s):  
Boundary Conditions ◽  
Uniqueness Theorem ◽  
General Boundary ◽  
General Boundary Conditions
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