Papers Published

  1. L. Liu and J. P. Thomas and E. H. Dowell and P. Attar and K. C. Hall, A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator, Journal Of Computational Physics, vol. 215 no. 1 (June, 2006), pp. 298 -- 320 .
    (last updated on 2009/08/04)

    The present study focuses on a novel harmonic balance formulation, which is much easier to implement than the standard/classical harmonic balance method for complex nonlinear mathematical models and algorithms. Both harmonic balance approaches are applied to Duffing's oscillator to demonstrate the advantages and disadvantages of the two approaches. A fundamental understanding of the difference between these two methods is achieved, and the properties of each method are analyzed in detail. (c) 2005 Elsevier Inc. All rights reserved.