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- Title
Forced vibrations of a turbine blade undergoing regularized unilateral contact conditions through the wavelet balance method.
- Authors
Jones, S.; Legrand, M.
- Abstract
SUMMARY 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, although wavelet bases that can sparsely define nonsmooth solutions may be superior. This hypothesis is investigated using a full three-dimensional blade with unilateral contact conditions on a set of Nc discrete contact points located at its tip. The unilateral contact conditions are first regularized, and a distributional formulation in time is introduced, allowing
- Subjects
TURBINES; WAVELETS (Mathematics); HARMONIC analysis (Mathematics); FOURIER analysis; MATRICES (Mathematics)
- Publication
International Journal for Numerical Methods in Engineering, 2015, Vol 101, Issue 5, p351
- ISSN
0029-5981
- Publication type
Article
- DOI
10.1002/nme.4807