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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2014

Forced vibrations of a turbine blade undergoing regularized unilateral contact conditions through the wavelet balance method

Résumé

The method of weighted residuals can efficiently enforce time-periodic solutions of flexible structures experiencing unilateral contact. The Harmonic Balance Method (HBM) based on Fourier expansion of the sought solution is a common formulation, though wavelet bases that can sparsely define nonsmooth solutions may be superior. This hypothesis is investigated using an axially vibrating rod with unilateral contact conditions. A distributional formulation in time is introduced allowing $L^2(S^1)^N$ trial functions to approximate the second-order equations. The mixed wavelet Petrov-Galerkin solutions are found to yield consistent or better results than HBM, with similar convergence rates and seemingly more accurate contact force prediction.

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Dates et versions

hal-00806545 , version 1 (01-04-2013)
hal-00806545 , version 2 (30-06-2016)

Licence

Paternité - Pas d'utilisation commerciale

Identifiants

Citer

Simon Jones, Mathias Legrand. Forced vibrations of a turbine blade undergoing regularized unilateral contact conditions through the wavelet balance method. International Journal for Numerical Methods in Engineering, 2014, 101 (5), pp.351-374. ⟨10.1002/nme.4807⟩. ⟨hal-00806545v2⟩

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