Stability of a Non-Linear Damped Second-Order System with Randomly Fluctuating Restoring Coefficient

J.J.H. Brouwers

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

    8 Citaten (Scopus)


    In connection with questions concerning possible unstable motion of certain types of marine structures, the non-stationary response of a homogeneous second-order system with randomly fluctuating restoring coefficient and with combined linear and non-linear power-law damping has been studied. New solutions, both in the time-domain and in terms of probability distributions, have been derived for non-stationary response initiated by some disturbance at time zero. The solutions hold asymptotically in the limit of small damping and small random restoring, and have been obtained using stochastic averaging techniques and a Fokker-Planck-Kolmogorov equation.
    The solutions have been used to assess the asymptotic behaviour of time-domain realisations of response, of probability distributions of response, and of statistical moments of response as time approaches infinity. It is found that, depending on magnitude and non-linearity of the damping force, response can decrease to zero, can tend to a stationary state of random finite-amplitude response, or can grow unboundedly as time increases.
    Originele taal-2Engels
    Pagina's (van-tot)1-13
    TijdschriftInternational Journal of Non-Linear Mechanics
    Nummer van het tijdschrift1
    StatusGepubliceerd - 1986


    Duik in de onderzoeksthema's van 'Stability of a Non-Linear Damped Second-Order System with Randomly Fluctuating Restoring Coefficient'. Samen vormen ze een unieke vingerafdruk.

    Citeer dit