Analysis of Discontinuous Dynamical Behaviors of a Friction-Induced Oscillator with an Elliptic Control Law

Jinjun Fan, Ping Liu, Tianyi Liu, Shan Xue and Zhaoxia Yang

Mathematical Problems in Engineering, 2018, vol. 2018, 1-33

Abstract:

This paper develops the passability conditions of flow to the discontinuous boundary and the sticking or sliding and grazing conditions to the separation boundary in the discontinuous dynamical system of a friction-induced oscillator with an elliptic control law and the friction force acting on the mass through the analysis of the corresponding vector fields and -functions. The periodic motions of such a discontinuous system are predicted analytically through the mapping structure. Finally, the numerical simulations are given to illustrate the analytical results of motion for a better understanding of physics of motion in the mass-spring-damper oscillator.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5301747

DOI: 10.1155/2018/5301747

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