TY - JOUR
T1 - N-dimensional Harmonic Balance Method extended to non-explicit nonlinearities
AU - Legrand, Mathias
AU - Roques, Sébastien
AU - Pierre, Christophe
AU - Peseux, Bernard
AU - Cartraud, Patrice
PY - 2006
Y1 - 2006
N2 - The harmonic balance method is widely used for the analysis of strongly nonlinear problems under periodic excitation. The concept of hypertime allows for the generalization of the usual formulation to multi-tone excitations. In this article, the method is applied to a system involving a nonlinearity which cannot be explicitly expressed in the multi-frequency domain in terms of harmonic coefficients. The direct and inverse Discrete Fast Fourier Transforms are then necessary to alternate between time and frequency domains in order to take into account this nonlinearity. The results show the efficiency and the precision of the method.
AB - The harmonic balance method is widely used for the analysis of strongly nonlinear problems under periodic excitation. The concept of hypertime allows for the generalization of the usual formulation to multi-tone excitations. In this article, the method is applied to a system involving a nonlinearity which cannot be explicitly expressed in the multi-frequency domain in terms of harmonic coefficients. The direct and inverse Discrete Fast Fourier Transforms are then necessary to alternate between time and frequency domains in order to take into account this nonlinearity. The results show the efficiency and the precision of the method.
KW - Harmonic balance method
KW - Hypertime domain
KW - Unilateral contact
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U2 - 10.3166/remn.15.269-280
DO - 10.3166/remn.15.269-280
M3 - Article
AN - SCOPUS:84881126607
SN - 2642-2085
VL - 15
SP - 269
EP - 280
JO - European Journal of Computational Mechanics
JF - European Journal of Computational Mechanics
IS - 1-3
ER -