Journal ArticleDOI
Response of a non-linearly damped oscillator to combined periodic parametric and random external excitation
TLDR
In this article, an analytical solution using the Fokker-Planck-Kolmogorov equation was obtained for the problem of response of a non-linearly damped oscillator to combined periodic parametric and random external excitation.Abstract:
An analytical solution, using the Fokker-Planck-Kolmogorov equation, is obtained for the problem of response of a non-linearly damped oscillator to combined periodic parametric and random external excitation. The solution yields first-order probability densities of amplitude and phase. These expressions are employed to distinguish between oscillations excited by external and parametric periodic forces in the presence of additional broadband random external excitation. Through decoupling of fast and slow motions an approximate expression is obtained for expected value of time to phase “switch”.read more
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Journal ArticleDOI
Stochastic averaging: An approximate method of solving random vibration problems
J.B. Roberts,Pol D. Spanos +1 more
TL;DR: In this article, the results obtained by applying the method of stochastic averaging to random vibration problems are discussed and applied to a variety of problems involving the response of lightly damped systems to broad-band random excitations.
Journal ArticleDOI
Parametric, external and self-excitation of a tower under turbulent wind flow
Angelo Luongo,Daniele Zulli +1 more
TL;DR: In this article, the analysis of a self-excited tower under turbulent wind flow is carried out, where the structure is considered as a one dof nonlinear system, and the implications of this modeling are deeply discussed.
Journal ArticleDOI
Response analysis of Van der Pol oscillator subjected to harmonic and random excitations
TL;DR: In this paper, the response of the Van der Pol oscillator subjected to combined harmonic and random excitations is investigated by a technique combining two excellent methods, namely the stochastic averaging method and the equivalent linearization method.
Journal ArticleDOI
Interaction of fundamental parametric resonances with subharmonic resonances of order one-half
TL;DR: In this paper, conditions for the quenching or enhancement of a parametric resonance by the addition of a subharmonic resonance of order one-half were derived for a single-degree-of-freedom system with quadratic and cubic nonlinearities.
Journal ArticleDOI
Periodic Response of a Duffing Oscillator Under Combined Harmonic and Random Excitations
Hai-Tao Zhu,Siu-Siu Guo +1 more
TL;DR: In this article, the authors present a solution procedure to investigate the periodic response of a Duffing oscillator under combined harmonic and random excitations, which consists of an implicit harmonic balance method and a Gaussian closure method.
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