Non-smooth dynamics and stability of mechanical systems featuring a freeplay non-linearity

Abstract This paper concerns modelling and time-domain simulation of the dynamics of systems featuring a freeplay non-linearity. The topic of stability is also addressed. We propose to develop a reduced order model based on mode synthesis where the DOF that might have contact are separated from the regular substructures. This formulation allows for a direct application of Moreau's theory for non-smooth dynamics of contact problems. The methodologies developed are applied to a fluid-structure coupled system as given by an aircraft wing with freeplay in the control surface connection.