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1

Dispresion Analysis in a Fluid-Filled and Immersed Transversely Isotropic Thermo-Electro-Elastic Hollow Cylinder

Selvamani R.

Mechanics and Mechanical Engineering

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2016

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Vol. 20, nr 3

209--231

EN

The dispersion analysis in a fluid filled and immersed thermo–electro elastic hollow cylinder composed of homogeneous, transversely isotropic material is studied within the frame work of linear theory of elasticity. The motions of the cylinder are formulated using the constitutive equations of a transversely isotropic piezo–thermo elastic material with a preferred material direction collinear with the longitudinal axis of the cylinder. The equations of motion of the internal and external fluids are formulated using the constitutive equations of an inviscid fluid. Displacement potentials are used to solve the equations of motion of the hollow cylinder and the fluids. The perfect–slip boundary condition is employed at the fluid–solid interface to find the frequency equation of the coupled system consisting of the cylinder, internal and external fluid. The non–dimensional frequencies obtained by the author are compared with the result of Paul and Raju [Paul, H. S., Raju, D. P, Asymptotic analysis of the modes of wave propagation in a piezoelectric solid cylinder. J. Acoust. Soc. Am. 71(2)( 1982) 255–263] which matches well and shows the exactness of the author’s method. The computed dimensionless frequency, phase velocity, attenuation, thermo mechanical coupling factor and specific loss are plotted in the form of dispersion curves for the material PZT-5A.

2

The influence of changing the distance between the conductors and screen on the total magnetic field of shielded three phase flat high current busduct

Kusiak D., Piątek Z., Szczegielniak T.

Poznan University of Technology Academic Journals. Electrical Engineering

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2011

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No. 65

25--32

EN

This paper shows how the shift of the axes of both conductors and screen influences the total magnetic field of the three-phase fiat shielded high-current busduct in the screen and its surroundings. Components of this field were expressed through modified Bessel's functions as a function r and Θ of cylindrical coordinates. This phenomenon has been described with the formulas relevant to the relative values of the field and the parameters allowing the frequency,conductivity, and the cross-section dimensions of conductors. Into account was taken skin and proximity effects, and that the magnetic field is a rotating elliptical field.

3

Pole elektromagnetyczne w rurowym wsadzie cylindrycznym

Piątek Z., Baron B.

Przegląd Elektrotechniczny

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2004

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R. 80, nr 9

875-880

PL

W pracy wyznaczono pole elektromagnetyczne w przewodzącym wsadzie rurowym umieszczonym w zewnętrznym podłużnym sinusoidalnie zmiennym polu magnetycznym poprzez rozwiązanie równania Bessela we współrzędnych walcowych. Na podstawie otrzymanych wzorów wykonano obliczenia i rysunki rozkładów modułów oraz przestrzenno - czasowych natężenia pola magnetycznego i elektrycznego. Otrzymane wzory opisujące pole elektromagnetyczne w rozważanym wsadzie mogą być wykorzystane do opisu zjawisk zachodzących w procesie nagrzewania wsadów rurowych (gęstości mocy, temperatury, parametrów zastępczych wzbudników, itp.). W zakończeniu porównano otrzymane rozwiązania z wzorami podanymi przez Wajnberga w monografii [12].

EN

In the paper we determine the electromagnetic field in a tubular conducting cylinder placed in external longitudinal sinusoidal magnetic field using the solution of Bessell equation in cylindrical co-ordinates. The resulting equations are the basis for calculation and graphs of module distributions and space-time distributions of the magnetic and electric field strength. The resulting equations describing the electromagnetic field in the considered conductor can be used to describe the phenomena taking place during the process of the tubular conductors heating (power density, temperature, replacement parameters of the inductors etc.). Finally we compare our solutions with the formulas given by Weinberg in the monograph [12].