CNCS Center for Nonlinear and Complex Systems
   Search Help Login pdf version printable version

Publications [#53862] of Lawrence N. Virgin

Papers Published

  1. Nichols, J.M. and Virgin, L.N., System identification through chaotic interrogation, Mech. Syst. Signal Process. (UK), vol. 17 no. 4 (2003), pp. 871 - 81 [1471]
    (last updated on 2007/03/23)

    We introduce a method by which the coefficient of viscous damping for a linear ndof system may be estimated. The technique utilises the unique properties of chaos by driving the system with the output of a nonlinear oscillator. By tuning the Lyapunov exponents of the driving signal to the eigenvalues of the linear structure, the dimension of the output is effectively controlled. Estimates of the complete Lyapunov spectrum may then be used to extract the real part of the dominant eigenvalue, and hence the damping, for the system. Results are presented for a 2-dof spring-mass-damper driven with the output of the chaotic Lorenz oscillator. The effects of additive noise are also considered

    chaos;damping;eigenvalues and eigenfunctions;identification;interference (signal);linear systems;Lyapunov methods;oscillators;spectral analysis;