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 …

Abstract In this paper, Harmonic Balance based methods, namely Incremental Harmonic
Balance Method and the method of Harmonic Balance with Alternating Frequency and Time …

This article presents a Harmonic Balance Method-based numerical strategy to provide a
qualitative numerical characterization of a compressor blade's dynamics when structural …

The objective of this study is to incorporate the proper generalized decomposition (PGD) into
the harmonic balance method (HBM) for an efficient numerical continuation of nonlinear …

In the Part 1 of two companion papers, a deployable composite cabin (DCC) for space
habitats was introduced and its folding behaviour was comprehensively studied. This Part 2 …

This work proposes a novel efficient method to track the evolution of amplitude extrema
featured by frequency responses of nonlinear systems using the harmonic balance method …

The literature about the asymptotic numerical method (ANM) is reviewed in this paper as
well as its application to hyperelasticity and elastoplasticity. ANM is a generic continuation …

Harmonic balance method (HBM) incorporated with arc-length continuation and Floquet-Hill
formulation now becomes an essential and strong tool for computing periodic solution …

We herein propose an algorithm for tracking smooth bifurcations of nonlinear systems with
interdependent parameters. The approach is based on a complex formulation of the well …

This paper reports dynamical effects in one-dimensional locally resonant piezoelectric
metastructures leveraged by nonlinear electrical attachments featuring either combined …