Methodology for Modeling Nonlinear Thermomechanical Response With Wear at High-Speed Interactions: Application to a Pin–Disk Configuration

Abstract

An aircraft engine is a complex structure for which some components can come into contact at high speed. Modelling this behaviour is very complex, multiple physics must be considered. State-of-the-art methodologies usually account for permanent contact and thermal modelling. In this paper, a new approach is proposed and embeds various phenomena. Moreau-Jean algorithm is employed to compute the transient response of the system. Moreover, the full non linear coupling between the dynamics and the heating process is taken into account through both a semi-analytical formulation and the finite-element method. At the contact interface, heat flux is generated by dry rubbing and flows into both interacting bodies. The heat flux partition is evaluated with a coefficient that depends on the material properties of the solids in contact. The proposed method also accounts for adhesive wear through an energetic approach. This methodology is applied to an academic, yet realistic, disk connected to a rotor shaft, free to move axially and to rotate around its revolution axis. Gyroscopic effects and variation of the rotation velocity are included leading to a full non linear mechanical behaviour. The disk undergoes aerodynamic load moving it to contact with a clamped free pin. The rotor shaft and the pin are modelled as 1D elastic bodies while the rotor disk is assumed to be rigid. Through this example, the developed strategy shows its potential to compute the complete transient highly non linear response of the breaking phenomenon, in an acceptable time simulation.