The paper deals with the reduced modal modelling of turbine wheels by the modal synthesis method at torsional running wave excitation and aeroelastic self-excitation. A new model of self-excitation is introduced into the former reduced model of the wheel and first results of numerical simulations are presented. As to the dry-friction damping by inter-blade tie-boss and shroud contacts, a new edge contact is being implemented. Kinematics of the contact model is presented herein. The reconstructed model with a new self-excitation and dry-friction contact model will allow studying effects of dry-friction damping on suppression of self-excited torsional vibration of the wheel.