Titlebook: Nonlinear Stochastic Dynamic Engineering Systems; IUTAM Symposium Inns F. Ziegler,G. I. Schuëller Conference proceedings 1988 Springer-Verl

亲爱

Approximate Analysis of Limit Cycles in the Presence of Stochastic Excitationsf elastically supported bodies, friction-induced vibrations of wheel-rail-systems or the lateral movement of railway vehicles have to be looked upon as self-sustained oscillations which can show distinct stable limit cycles. Frequently an additional stochastic excitation has to be taken into account

Orchiectomy

阐明

Statistical Dynamics of Vibroimpact Systemsively reduce the equations of motion to such form, that impact-type nonlinearities are excluded or at least are found to be small. To these reduced equations with nonlinearities of a “common” type methods of Markov processes mày be applied for the cases of white-noise or sufficiently broadband rando

evaculate

Van der Pol’s Oscillator Under Combined Periodic and Random Excitationsclosure technique which leads to an equivalent linear system. The effect of the noise on the entrained oscillations and on the limit cycle behaviour is studied. It is found that for the response moments multiple steady states are possible. However, a stochastic stability analysis shows that only one

弯弯曲曲

烦扰

Coronation

遗产

Stochastically Perturbed Bifurcationsy those procedures are applied to study the effect of stochastic excitations on nonlinear systems which exhibit co-dimension one bifurcations. As an application the stochastic version of the Lorenz model is considered.

Jocose

LOPE

Random Loading by Large Displacement Chaotic Motionscess. The criterium proposed to distinguish between these two contrary models uses the return period of two crossings of a sufficiently large admissible stress. Numerical results are presented for the double pendulum, a system of two degrees of freedom only.