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

Abstract : 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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International Journal for Numerical Methods in Engineering, Wiley, 2014, 101 (5), pp.351-374. <10.1002/nme.4807>
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Soumis le : jeudi 30 juin 2016 - 16:26:57
Dernière modification le : mercredi 7 décembre 2016 - 17:51:35
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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, Wiley, 2014, 101 (5), pp.351-374. <10.1002/nme.4807>. <hal-00806545v2>

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