Orthogonal polynomials or wavelet analysis for mechanical system direct identification

Corinne Rouby (1, 2) , Didier Rémond (2) , Pierre Argoul (3)

1 navier umr 8205 - Laboratoire Navier
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 Dynamique des structures et identification

A unified formulation of a direct identification method for linear mechanical systems is proposed. Linear operators are applied to the set of motion differential equations, transforming it into an algebraic system. The cases of expansion on Chebyshev polynomials and of Cauchy continuous wavelet transform are studied with a focus on their similarities and differences in writing and performances. Both methods are illustrated and compared by applying them on numerical simulations of two different 3 degrees of freedom systems with non-proportional damping. The effect of additive white noise on signals is also investigated.

Keywords: Direct identification; Modal identification; Mechanical system; Linear behaviour; Chebyshev polynomials; Wavelet transform; Cauchy mother wavelet

Domains: Mechanical engineering [physics.class-ph]; Mechanical engineering [physics.class-ph]

Corinne Rouby, Didier Rémond, Pierre Argoul. Orthogonal polynomials or wavelet analysis for mechanical system direct identification. Annals of Solid and Structural Mechanics, 2010, 1 (1), pp.41-58. ⟨10.1007/s12356-009-0005-1⟩. ⟨hal-00485149⟩