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

Abstract : 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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Communication dans un congrès
26th Conference on Mechanical Vibration and Noise, Aug 2014, Buffalo, United States. 8 (DETC2014-34725), ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. <10.1115/DETC2014-34725>
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Dernière modification le : mardi 6 décembre 2016 - 09:39:57
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Distributed under a Creative Commons Paternité 4.0 International License

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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, Aug 2014, Buffalo, United States. 8 (DETC2014-34725), ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. <10.1115/DETC2014-34725>. <hal-01403614>

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