A computationally efficient methodology to predict the nonlinear response of bladed disks with dry friction ring dampers is proposed. Friction is one of the common ways to add damping. Designing frictional interfaces for bladed disks systems is an important means adopted to dissipate vibration energy. Placement of dry friction dampers between blades or under the blades is a widely used technique. One of the recently emerging technologies uses ring dampers. These are ring-like substructures constrained to move inside a groove at or under the root of the blades. Such rings are in contact with the disk due to centrifugal forces, and they create nonlinear dissipation by rubbing against the disk.