This page enables you to calculate the vibrational eigenmodes of a free homogeneous isotropic sphere. Two other pages can be used for multilayer spheres and matrix-embedded multilayer spheres.
Disclaimer: use at your own risk.
The results section is updated each time a parameter is modified.
The displacement corresponding to the vibration is also displayed
<canvas> element for m=0.
Only the displacement of the points of the sphere in the x=0 plane are
represented. The displacement for the other points are obtained by
rotation around the vertical (z) axis.
The equilibrium position is represented by a filled circle.
For the spheroidal modes, the displacements are inside the plan of the
For the torsional modes, the displacement are perpendicular to the
figure. They are represented by arcs starting at the equilibrium
position and terminated by a disk at the displaced position. The colors
for the points moving before or behind the x=0 plan are different. The length
of the lines and the diameter of the disks are proportional to the