In this page, we show the results for the 4x4 configuration. Apart from the magnitude, the behavior of the forces and toques are almost the same as the 1x1 case, and we are able to achieve soft vibrations in all six degrees of freedom.
Model and Specification
Vertical Direction
The force and the corresponding rigidity in the z-direction are shown by the following two figures:
Horizontal Direction
The force and the corresponding rigidity in the y-direction are shown by the following two figures:
The specifications for each magnet are identical to the 1x1 case. The Comsol and m-files for producing the above results are:
Torque of tilt
The torque in the horizontal direction as a function of the tilt angle is shown by the figure below:
The corresponding rigidity of the tile is the following:
Toque of rotation
The torque and its rigidity in the axial direction as a function of the rotation angle is shown by the following figure:
The Comsol and m-files for producing the above results are: