Bearing Displacements due to Stiffness
Consider a shaft with two bearing fixtures applied on cylindrical faces
with stiffness: KR(radial) and KA (axial). Two loads are applied:
Fv
(vertical), and Fa
(axial) as shown.
The average Y -displacement of the bearings is: dy
= Fv / (2 KR)
The average Z- displacement of the bearings is: dz
= Fa
/ (2 Ka)
NOTE: If you define
bearing connectors by modeling the housing faces, the above equations
represent average relative displacements of the shaft with respect to
the housing.