A substructured version of the variational theory of complex rays dedicated to the calculation of assemblies with dissipative joints in the medium-frequency range

Olivier Dorival , Philippe Rouch (1) , Olivier Allix (1)

1 LMT - Laboratoire de Mécanique et Technologie

This paper focuses on efficient techniques for the analysis of complex structures in the medium- frequency range taking into account elaborate joint behavior. The accurate prediction of the am- plitude of the response in this frequency range requires sophisticated interface models. Indeed, experiments on generic assemblies clearly showed that joint stiffness and damping must be taken into account. We deal with these problems through the use of a dedicated approach, the Varia- tional Theory of Complex Rays (VTCR). This method can be viewed as a means of expressing the power balance at the different boundaries between substructures (hence the importance of interface modeling) using two-scale shape functions which verify the dynamic equation and the constitutive relation, which leads to very low computational costs. Despite the fact that the classical VTCR formulation is entirely dedicated to such calculations, it has shortcomings. Here, we introduce an original substructured version of the VTCR which enables the equations of the joints to be sep- arated from those of the substructures in order to improve the flexibility of the behavior at the interfaces.

Mots clés: Damping; Modelling; Structural analysis; Vibration; Medium frequencies; Joint model

Domaines: Mécanique [physics]

Olivier Dorival, Philippe Rouch, Olivier Allix. A substructured version of the variational theory of complex rays dedicated to the calculation of assemblies with dissipative joints in the medium-frequency range. Engineering Computations, 2006, 23 (7-8), pp.729-748. ⟨10.1108/02644400610689875⟩. ⟨hal-01023404⟩