Higher-order approximate steady-state solutions for strongly nonlinear systems by the improved incremental harmonic balance method

The spreading residue harmonic balance study on the vibration frequencies of tapered beams

(2016) Zhongjin Guo et al.   APPLIED MATHEMATICAL MODELLING

Dynamical analysis of fractional-order nonlinear oscillator by incremental harmonic balance method

(2016) Yong-Jun Shen et al.   NONLINEAR DYNAMICS

Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators

(2014) Peijun Ju et al.   APPLIED MATHEMATICAL MODELLING

An improved piecewise variational iteration method for solving strongly nonlinear oscillators

(2014) M. Heydari et al.   COMPUTATIONAL & APPLIED MATHEMATICS

An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials

(2014) Zaid Odibat et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

RESONANCE RESPONSE OF A SIMPLY SUPPORTED ROTOR-MAGNETIC BEARING SYSTEM BY HARMONIC BALANCE

(2012) A. Y. T. LEUNG et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Residue harmonic balance approach to limit cycles of non-linear jerk equations

(2011) A.Y.T. Leung et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Global Error Minimization method for solving strongly nonlinear oscillator differential equations

(2010) Yadollah Farzaneh et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

High order harmonic balance formulation of free and encapsulated microbubbles

(2010) Marie-Christine Pauzin et al.   JOURNAL OF SOUND AND VIBRATION

An optimal homotopy-analysis approach for strongly nonlinear differential equations

(2009) Shijun Liao   Communications in Nonlinear Science and Numerical Simulation

High dimensional harmonic balance dealiasing techniques for a Duffing oscillator

(2009) A. LaBryer et al.   JOURNAL OF SOUND AND VIBRATION

Dynamics of a strongly nonlinear vibration absorber coupled to a harmonically excited two-degree-of-freedom system

(2008) Y. Starosvetsky et al.   JOURNAL OF SOUND AND VIBRATION

Newton–harmonic balancing approach for accurate solutions to nonlinear cubic–quintic Duffing oscillators

(2007) S.K. Lai et al.   APPLIED MATHEMATICAL MODELLING