RAHNEJAT, H. and GOHAR, J., 1985. The vibrations of radial ball bearings. ARCHIVE: Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science 1983-1988 (vols 197-202), 199 (C3), pp. 181-193
This paper presents a theoretical analysis of the vibration response of a rotating rigid shaft supported by two radial deep‐groove lubricated ball bearings. The bearings and their oil films are approximated to a set of non‐linear elastic springs and dampers rotating relative to the shaft when it is subjected to a rotating unbalance or inner race surface waviness. Under gravity load, the shaft's initial vibration is damped down to a limit cycle operating at a quasi‐simple harmonic frequency of small amplitude. Rotating unbalance and surface features introduce further significant frequencies which influence the output response.