An annular resilient body of fiber composite material for vibration-insulating support of drive assemblies includes at least one wound body having a circumferential direction and a loading direction. The at least one wound body includes a plurality of wound concentric layers formed of synthetic resin impregnated fibers extending in the circumferential direction and transverse to the load direction, and at least one layer of fibers extending at an angle relative to the concentric layers. Force-inducing fastening elements are disposed on two opposite sides of the at least one wound body. The fastening elements are formed of metal brackets at least partly encompassing the at least one wound body and elastic rubber layers bracing the metal brackets against the at least one wound body.