Abstract
A receptance-based perturbative multi-harmonic balance (RPMHB) method has been developed recently [1]. The method can be applied to systems containing almost any type of non-linear element. It is computationally efficient, particularly when the number of the non-linear elements is small. This method has been successfully applied to calculate the periodic steady state response of localized non-linear systems. In this paper, the RPMHB method is generalized to calculate the aperiodic steady state response of systems containing localized non-linear elements. When the response is not periodic, the commonly used FFT algorithm is not applicable. To overcome this problem, a direct fit algorithm is suggested to calculate the coefficients of the frequency components. Numerical examples are presented to illustrate the features of this method.
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