Title :
Parametrically excited horizontal and rolling motion of a levitated body above a high-Tc superconductor
Author :
Sugiura, Toshihiko ; Aoyagi, Takaaki ; Ura, Hiroki ; Yoshizawa, Masatsugu
Author_Institution :
Dept. of Mech. Eng., Keio Univ., Yokohama, Japan
fDate :
6/1/2003 12:00:00 AM
Abstract :
This research deals with a kind of parametric excitation of a permanent magnet freely levitated above a high-Tc superconductor excited in the vertical direction. We find the magnet has two vibration modes of linearly coupled horizontal translation and roll motion. These two modes are coupled nonlinearly with the vertical motion by the magnetic force and torque. Through nonlinear analysis and numerical simulation, this research discusses parametric resonance of each mode caused by vertical excitation at the frequency in the neighborhood of twice the natural frequency of that mode. Analytical and numerical results show qualitative agreement with experimental ones.
Keywords :
high-temperature superconductors; magnetic forces; magnetic levitation; numerical analysis; permanent magnets; torque; vibrations; HTS; high-Tc superconductor; levitated magnet; magnetic force; magnetic torque; nonlinear analysis; numerical simulation; parametric resonance; parametrically excited horizontal motion; parametrically excited rolling motion; permanent magnet; vibration modes; Couplings; Frequency; Magnetic analysis; Magnetic forces; Magnetic levitation; Magnetic resonance; Numerical simulation; Permanent magnets; Superconducting magnets; Torque;
Journal_Title :
Applied Superconductivity, IEEE Transactions on
DOI :
10.1109/TASC.2003.813057