Study on chaotic vibration and high vibration intensity of a multi-level partial blocks excitation system

Abstract

A multi-level partial blocks excitation system was proposed to meet the special requirement of vibration equipment. The dynamic mechanical model was analyzed using Lagrange equations to obtain angular displacement equations of higher level partial block. The instantaneous vibration intensity and amplitude were also found. The simulation test was performed using MATLAB in order to obtain the motion curves, phase-trajectory and Poincare maps of higher level partial block. Due to the fact that the existence of the initial sensitivity, nonrepeatability and complexity of the phase trajectory, and flake points set and many discrete points in Poincare maps, the vibration system exhibited many characteristics of chaotic vibration. It was found that the chaotic excitation system with a strongly nonlinear and wide frequency band could achieve some special exciting vibration properties, such as intermittent high vibration intensity, transient super-high vibration intensity and large vibrating amplitude. Based on these analyses, the vibration mill was developed. The research showed that these measured vibration intensity $K-t$ and amplitude $A-t$ curves were consistent with theoretical analysis and the simulation of the motion curves, phase-trajectory and Poincare maps. In the field of vibration engineering, the special inertial properties are important to overcome work barriers and solve current technological bottlenecks.