Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation
An approximate analytical technique for assessing the reliability of a softening Duffing oscillator subject to evolutionary stochastic excitation is developed. Specifically, relying on a stochastic averaging treatment of the problem, the oscillator time-dependent survival probability is determined in a computationally efficient manner. In comparison with previous techniques that neglect the potential unbounded response behavior of the oscillator when the stiffness element acquires negative values, the technique developed in this paper readily takes this aspect into account by introducing a special form for the oscillator nonstationary response amplitude probability density function (PDF). A significant advantage of the technique relates to the fact that it can readily handle cases of stochastic excitations that exhibit variability in both the intensity and the frequency content. Numerical examples include a softening Duffing oscillator under evolutionary earthquake excitation and a softening Duffing oscillator with nonlinear damping modeling the nonlinear ship roll motion in beam seas. Comparisons with pertinent Monte Carlo simulation data demonstrate the efficiency of the technique.
Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation
An approximate analytical technique for assessing the reliability of a softening Duffing oscillator subject to evolutionary stochastic excitation is developed. Specifically, relying on a stochastic averaging treatment of the problem, the oscillator time-dependent survival probability is determined in a computationally efficient manner. In comparison with previous techniques that neglect the potential unbounded response behavior of the oscillator when the stiffness element acquires negative values, the technique developed in this paper readily takes this aspect into account by introducing a special form for the oscillator nonstationary response amplitude probability density function (PDF). A significant advantage of the technique relates to the fact that it can readily handle cases of stochastic excitations that exhibit variability in both the intensity and the frequency content. Numerical examples include a softening Duffing oscillator under evolutionary earthquake excitation and a softening Duffing oscillator with nonlinear damping modeling the nonlinear ship roll motion in beam seas. Comparisons with pertinent Monte Carlo simulation data demonstrate the efficiency of the technique.
Softening Duffing Oscillator Reliability Assessment Subject to Evolutionary Stochastic Excitation
Kougioumtzoglou, Ioannis A. (Autor:in) / Zhang, Yuanjin (Autor:in) / Beer, Michael (Autor:in)
09.06.2015
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations
| British Library Conference Proceedings | 2005
Vibration statistics of the Duffing oscillator
| Elsevier | 1985
| British Library Online Contents | 2001
Stability and Bifurcation of Duffing-Van Der Pol Oscillator Under Wide-Band Random Excitation
| British Library Conference Proceedings | 2000
Stability Analysis of a Parametric Duffing Oscillator
| ASCE | 2020