Mathematics – Classical Analysis and ODEs
Scientific paper
2008-11-14
Mathematics
Classical Analysis and ODEs
16 pages, 2 figures, Submitted to proceedings of STAB08 which will be published by Journal of Applied Mathematics and Mechanic
Scientific paper
We prove asymptotic stability of periodic oscillations in two-bodies vibrating screen model under assumption that the frequencies w1 and w2 of the generating system (without obstacle and periodic driving) satisfy the assumption w1:w2=1:2. We also assume that the frequency of the external periodic driving equals to w1. These settings correspond to nonlinear resonance which is a well known phenomenon in industrial implementation of the vibrating screen. The justification is performed over nonsmooth analog of the second Bogolyubov's theorem proposed by the author in his previous papers. It is rigorously proven that the periodic oscillations obtained have two frequencies, in contrast with the case when the obtacle is absent.
No associations
LandOfFree
Asymptotic stability of oscillations of two-bodies vibrating screen with one-sided obstacle without clearances does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Asymptotic stability of oscillations of two-bodies vibrating screen with one-sided obstacle without clearances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic stability of oscillations of two-bodies vibrating screen with one-sided obstacle without clearances will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-39088