Frequency-domain distortion analysis is very important for designing the analog integrated circuits. We propose here a new method based on the Spice-oriented harmonic balance method, where the Fourier transformations of the resistive circuits driven by a periodic input are carried out by the Fourier transfer circuit model. The circuit is composed of the analog behavior models(ABM) of Spice, whi...

In this paper, an analytical technique has been developed based on a modified harmonic balance method to determine higher-order approximate periodic solutions for a nonlinear oscillator with discontinuity for which the elastic force term, is an anti-symmetric and quadratic term. Usually, a set of nonlinear algebraic equations is solved with this method. However, analytical solutions of these al...

The method of harmonic balance (HB) is a spectrally accurate used to obtain periodic steady state solutions dynamical systems subjected perturbations. We adapt HB solve for the stress response Giesekus model under large amplitude oscillatory shear (LAOS) deformation. transforms system differential equations set nonlinear algebraic in Fourier coefficients. Convergence studies find that differenc...

This article assesses two Harmonic Balance Method-based numerical Lagrangian strategies for the characterization of periodic response a mechanical system subject to unilateral contact constraints. The model used evaluation is an academic rod facing obstacle that firstly considered as equivalent stiffness (flexible) and then rigid obstacle. Nonlinear frequency curves are obtained through arc-len...

| In this paper, we present a new implementation of the harmonic balance method which extends its applicability to circuits 2-3 orders of magnitude larger than was previously practical. The results reported here extend our previous work 1] which only considered large circuits operating in a mildly nonlinear regime. The new implementation is based on quadratically convergent Newton methods and i...