Nonlinear dynamics of a vibratory cone crusher with hysteretic force and clearances

Issue title: 2nd International Conference on Vibro-Impact Systems (ICoVIS), Sanya, China, 6–9 January, 2010

Article type: Research Article

Authors: Jiang, Jing | Han, Qing-Kai | Li, Chao-Feng | Yao, Hong-Liang | Liu, Shu-Ying

Affiliations: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, P.R. China

Note: [] orresponding author. Tel.: + 86 135 040 73797; E-mail: qhan@mail.neu.edu.cn

Abstract: Based on the analysis on crushing process and hysteresis of material layers, a hysteretic model with symmetrical clearances is presented. The mechanical model of two-degree of freedom with bilinear hysteresis and its dynamical equations of system are proposed. In order to further investigate the dynamic characteristics of the novel vibratory cone crusher, the system is also simplified into a dynamical system of single degree of freedom with a bilinear hysteretic component together with clearances. According to some nonlinear dynamic analysis tools such as bifurcation diagram, Lyapunov exponents, Poincare section, etc., different motion patterns of the system are discussed, including periodic, periodic doubling, chaos and other characteristics. These theoretical results will provide readers with deep understanding on the regular and complex dynamical behaviors of the vibratory cone crusher due to the hysteresis with clearances.

Keywords: Vibratory cone crusher, bilinear hysteretic model with clearances, nonlinear vibration, chaos

DOI: 10.3233/SAV-2010-0568

Journal: Shock and Vibration, vol. 18, no. 1-2, pp. 3-12, 2011