Zipu Yan1,2, Honghua Dai1,2,*, Qisi Wang1,2, Satya N. Atluri3
CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.2, pp. 1419-1459, 2023, DOI:10.32604/cmes.2023.028198
Abstract The harmonic balance (HB) method is one of the most commonly used methods for solving periodic solutions of
both weakly and strongly nonlinear dynamical systems. However, it is confined to low-order approximations due
to complex symbolic operations. Many variants have been developed to improve the HB method, among which the
time domain HB-like methods are regarded as crucial improvements because of their fast computation and simple
derivation. So far, there are two problems remaining to be addressed. i) A dozen of different versions of HB-like
methods, in frequency domain or time domain or in hybrid, have been developed; unfortunately, misclassification… More >
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