A generator assembly includes a rotor carrying a magnetic element, a bearing assembly supporting the rotor for rotation about a rotation axis, a bearing support structure extending circumferentially about the bearing assembly and configured for fixation to a housing, and a sleeve member. The sleeve member is arranged radially between the bearing assembly and the bearing support structure to limit a clearance defined radially between the bearing assembly and the bearing support structure. Integrated drive generators and methods of making generator assemblies are also described.