A mathematical and an analytical procedure for calculating the induced surface eddy currents in a cylindrical shell due to an arbitrary moving concentric current loop is developed. The consideration involves both uniform and accelerated motions. The accelerated motion, has the form of a finite ramp function, by which the current loop moves with a constant acceleration during a given time interval to a certain velocity. The surface currents induced in the cylindrical shell are governed by a time-dependent linear differential equation, which is then solved by the method of Laplace transforms. A solution in the form of Fourier and convolution integrals is achieved. The analytical solution is demonstrated in a graphical form in which the induced surface currents for both uniform and accelerated motion are presented. The solution so obtained is then extended to an arbitrary motion. The force acting on the moving current loop is also calculated and the results are presented in analytical and graphical forms.
Sakaji, N. (2021). The Transient Motion of a Current Loop along a Conducting Cylindrical Shell.. MEJ- Mansoura Engineering Journal, 25(3), 21-35. doi: 10.21608/bfemu.2021.146683
MLA
Naser M. Sakaji. "The Transient Motion of a Current Loop along a Conducting Cylindrical Shell.". MEJ- Mansoura Engineering Journal, 25, 3, 2021, 21-35. doi: 10.21608/bfemu.2021.146683
HARVARD
Sakaji, N. (2021). 'The Transient Motion of a Current Loop along a Conducting Cylindrical Shell.', MEJ- Mansoura Engineering Journal, 25(3), pp. 21-35. doi: 10.21608/bfemu.2021.146683
VANCOUVER
Sakaji, N. The Transient Motion of a Current Loop along a Conducting Cylindrical Shell.. MEJ- Mansoura Engineering Journal, 2021; 25(3): 21-35. doi: 10.21608/bfemu.2021.146683
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