Abstract
In this paper, characteristics of the repelling force acting between the same poles of the cylindrical rare-earth magnets are presented. The analysis is made theoretically under the assumption that the magnets are homogeneous and magnetized uniformly along the axial direction. From the numerical calculation it becomes clear that the repelling force has nonlinear characteristics as follows:
(1) The repelling force is proportional to the product of the following two quantities; the square of the magnetization strength and the characteristic function determined by the shape and the volume as well as the center distance of the magnets.
(2) Within the limited range of the vibration amplitude, the repelling force may be assumed to be inversely proportional to the nth power of the center distance between the two magnets.
(3) The nonlinearity of the repelling force depends upon both the characteristic exponent decided by the shape of the magnets and the falling amount of the free magnet due to the gravity.
(4) The results of the experiment show the good coincidence with those of the numerical calculation.
