Development of an analytical model of an elastic ring with protrusions as a multi-support beam

The article is devoted to the assessment of the static stiffness of an elastic ring in hydrodynamic dampers, which are often used in the supports of aircraft gas turbine engines (GTE) to reduce rotor vibration. The paper presents an original method for assessing this characteristic. An elastic damper ring is modeled by a set of straight beams connected by hinges. To calculate the real reactive force arising from contact along the protrusions of the elastic rings, the transfer moment method is used. Stiffness is defined as the vector sum of the forces arising in all working areas. The practical significance of the work is that the developed method can be used for analytical evaluation of the rigidity of the engine support taking into account the influence of the friction coefficient.