Reduced Order Modeling for Dynamic Response of Bolted Joints Subjected to Multi-harmonic Loading

Abstract

Dynamic analysis of structures with large number of joints is computationally intensive due to non-linear nature and large degrees-of-freedom of the problem. This paper demonstrates that reduced order models provide a good approximation that is computationally much more efficient. Dynamic analysis of bolted lap joints under multiharmonic shear loading has been carried out using both detailed, non-linear, finite element models and reduced-order models. Micro-slip in bolted joints and the resulting energy dissipation is modeled using the Columb friction model. The models are subjected to both harmonic and multi-harmonic excitation, with frequencies above and below the natural frequency of the system. Reduced-order models are obtained by applying Proper Orthogonal Decomposition to the results of full solution. The reduced models are able to calculate both the slip and the energy dissipated without significant loss of accuracy.