Analytical Equations to Rotational Balancing
Single Plane Balancing Unbalanced mass could come in the form of machine elements such as discs that have their centre of mass not coinciding with the geometric centre. Unbalance in such a machine element could quickly be noticed by it being mounted on a rigid shaft that is in turn mounted on a pair of low friction bearings and rotated in a given direction. If a mark given to the disc settles at the same location in successive rotations then there is unbalance. The magnitude and location of this unbalance could then be determined by running the rotor at a constant speed and measuring either of the reactions at the bearings. Such an arrangement is as shown figure1 below;