Three-dimensional map for a piecewise-linear capsule system with bidirectional drifts

PHYSICA D-NONLINEAR PHENOMENA

卷:399

Article

Guo, Bingyong¹  Liu, Yang¹ 

[1] Univ Exeter, Coll Engn Math & Phys Sci, North Pk Rd, Exeter EX4 4QF, Devon, England

关键词: Vibro-impact;    Non-smooth dynamical system;    Bifurcation;    Dry friction;    Discrete mapping;   

DOI  :  10.1016/j.physd.2019.04.008

来源: Elsevier

【 摘 要 】

A three-dimensional map is studied in this paper to provide a fundamental understanding for the vibro-impact capsule system, which is a non-autonomous two degrees-of-freedom non-smooth dynamical system consisting of soft impact and dry friction with forward and backward drifts. By using the map, one can investigate the global and local dynamics of the system and construct all possible local mappings for a wide range of parameter variation. An example study by varying the amplitude of external excitation of the system is presented. Our results show that the proposed map can effectively explain the occurrence of the boundary-intersection crossing and the sliding bifurcations observed in the system. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free