Several mechanical devices, including the components of internal combustion reciprocating thermal engines, use circular elastic systems to filter the vibration of the rotating components, like in the case of dual mass flywheels. Yet, the major modifications to the stiffnesses of these systems, which give them a non-linear behavior, make the prediction of their response during dynamic analysis, a challenge. This problem could also occur with component like belt along the pulley, circular bearing in this housing.
The models developed in this paper are built from Coulomb friction analysis. Analytical relationships describe the different phases of the behavior. These models make it possible to represent the behavior of these systems without studying fine models of them with a solid-body dynamic software.
The approaches presented below can be used for predicting the overall stiffness of elastic circular system behavior, and can also predict the hysteresis of a strain cycle, whether it is of low or high amplitude. Two examples of use are given to show the good correlation between theoretical behavior and experimental measurement.