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Communication Dans Un Congrès Année : 2014

Vibrations of an Axial Bar Experiencing Periodic Unilateral Contact Using the Wavelet Balance Method

Résumé

Efficiently predicting the vibratory responses of flexible structures which experience unilateral contact is becoming of high engineering importance. An example of such a system is a rotor blade within a turbine engine; small operating clearances and varying loading conditions often result in contact between the blade and the casing. The method of weighted residuals is a effective approach to simulating such behaviour as it can efficiently enforce time-periodic solutions of lightly damped, flexible structures experiencing unilateral contact. The Harmonic Balance Method (HBM) based on Fourier expansion of the sought solution is a common formulation, though it is hypothesized wavelet bases that can sparsely define nonsmooth solutions may be superior. This is investigated herein using an axially vibrating rod with unilateral contact conditions. A distributional formulation in time is introduced allowing periodic, square-integrable 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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hal-01403614 , version 1 (02-12-2016)

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Simon Jones, Mathias Legrand. Vibrations of an Axial Bar Experiencing Periodic Unilateral Contact Using the Wavelet Balance Method. 26th Conference on Mechanical Vibration and Noise, ASME, Aug 2014, Buffalo, United States. ⟨10.1115/DETC2014-34725⟩. ⟨hal-01403614⟩

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