A substructured Trefftz method for updating joint models in the medium-frequency range

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

1 LMT - Laboratoire de Mécanique et Technologie

The response of a structure to medium-frequency vibrations is highly dependent on several phenomena. One of these, the behavior of joints between substructures, is essential because it controls the distribution of the power injected into the structure and governs most of the dissipative effects. This paper introduces a new method for the identification of joint parameters from experimental vibration data, inspired by previous works on finite element model updating using the error in the constitutive relation. Since such numerical techniques are not suitable for the medium-frequency range, in which the finite element mesh must be refined, our work uses the numerical framework of the variational theory of complex rays, which is a Trefftz approach entirely dedicated to the calculation of medium-frequency vibrations at very low cost. The main scope of this paper is the presentation of the formulation and its validation against actual and numerically-simulated experimental results.

Mots clés: Updating methods; medium frequencies; Joint model; VTCR; damping; inverse problem; vibrations

Domaines: Mécanique [physics]

Olivier Dorival, Rouch Philippe, Olivier Allix. A substructured Trefftz method for updating joint models in the medium-frequency range. Computational Mechanics, 2008, 42 (3), pp.381-394. ⟨10.1007/s00466-008-0248-4⟩. ⟨hal-01018928⟩