Stochastic P-bifurcation analysis of a novel type of unilateral vibro-impact vibration system

Jiamin Qian and Lincong Chen

Chaos, Solitons & Fractals, 2021, vol. 149, issue C

Abstract: This work investigated the stochastic P-bifurcation (SPB) of a new class of unilateral impact vibration (VI) system under random parametric excitations, in which the elastoplastic stage of impact process is described by the restitution coefficient dependent with velocity model. By dint of the transformation of non-smooth, a new system without impact could be transformed from the original VI system. Subsequently, the stationary probability density functions (PDFs) of new system could be calculated by the associated equivalent nonlinear system. And then the critical parameters condition of SPB could be derived by means of the catastrophe theory. In the course of the study, it is verified that the new parameters induce the bifurcation of the system, which can be used to accurately measure the bifurcation behavior of the system quantitatively. And the system will tend to be stable under the precondition of enhancing the noise intensity. In addition, the validation of analytical results is examined by relative figures.

Keywords: Vibro-impact system; Velocity-dependent restitution coefficient; Equivalent nonlinear system; Stochastic bifurcation (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921004665
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:149:y:2021:i:c:s0960077921004665

DOI: 10.1016/j.chaos.2021.111112

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().