In this paper we present a novel method to efficiently solve gear contact simulations in a flexible multi-body environment. Semi-analytical contact approaches have been recently used in Finite Element (FE) simulations for describing the displacement field in the contact zone and eliminating the need for highly refined FE meshes. In the proposed method, we integrate a semi-analytic strategy with a Model Order Reduction (MOR) scheme, which allows us to decrease further the reduced order model complexity as well as the computational burden. We validate the method against state-of-the-art MOR techniques, for both static and dynamic gear contact problems. Finally the results show how the presented method is able to more efficiently capture quantitatively the transmission error in case of spur geared transmission for different torque levels.

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