Various aspects of the present invention relate to bearing assemblies configured to accommodate non-uniform loading and misalignment with an adjacent bearing assembly. In one aspect of the present invention, a bearing assembly is disclosed. The bearing assembly comprises a compliance ring including a plurality of beams. Each of the beams is circumferentially spaced apart from each other. The bearing assembly further comprises a plurality of bearing elements, with each of the bearing elements positioned adjacent to a corresponding beam of the plurality of beams. Each of the bearing elements deforms one of the corresponding beams when loaded. An additional aspect of the present invention is directed to a bearing assembly in which bearing elements thereof may be mounted to a support element without using a brazing process. Further aspects of the present invention are directed to a thrust-bearing apparatus, a radial-bearing apparatus, and a downhole motor that incorporates disclosed thrust-bearing and radial-bearing assemblies.