三自由度直线筛分机系统的动力学分析  

Dynamics Analysis of Three-Degree-of-Freedom Shaker Screening System

作　　者：白亮亮[1] 沙世名 

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《机械研究与应用》2015年第5期11-13,共3页Mechanical Research & Application

摘　　要：用半解析法推导出了一类直线筛分机系统的全响应及Poincaré映射在不动点处的线性化矩阵。基于Poincaré映射法和Floquet理论对系统的Flip分岔、环面倍化分岔进行了分析;用四阶变步长龙格-库塔法编程仿真了系统的运动规律。研究该系统有利于提高筛分机的筛分效率。In this paper, the mathematical expression of full response and linearization matrix of the Poincar＆#233; mapping at the fixed point are deduced by using the semi-analytical method. Based on the Poincare mapping method and the Floquet theory, flip bifurcation and torus doubling bifurcation are analyzed. The law of motion is simulated by the forth order variable step Runge-Kutta method. It is helpful to improve the sieving efficiency of the screening machine by studying this system.

关 键 词：筛分机 POINCARÉ映射 分岔 混沌 

分 类 号：TH113.1[机械工程—机械设计及理论]