机械研究与应用
機械研究與應用
궤계연구여응용
Mechanical Research & Application
2015年
5期
11-13
,共3页
筛分机%Poincaré映射%分岔%混沌
篩分機%Poincaré映射%分岔%混沌
사분궤%Poincaré영사%분차%혼돈
screening machine%Poincaré map%bifurcation%chaos
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。
用半解析法推導齣瞭一類直線篩分機繫統的全響應及Poincaré映射在不動點處的線性化矩陣。基于Poincaré映射法和Floquet理論對繫統的Flip分岔、環麵倍化分岔進行瞭分析；用四階變步長龍格-庫塔法編程倣真瞭繫統的運動規律。研究該繫統有利于提高篩分機的篩分效率。
용반해석법추도출료일류직선사분궤계통적전향응급Poincaré영사재불동점처적선성화구진。기우Poincaré영사법화Floquet이론대계통적Flip분차、배면배화분차진행료분석；용사계변보장룡격-고탑법편정방진료계통적운동규률。연구해계통유리우제고사분궤적사분효솔。
In this paper, the mathematical expression of full response and linearization matrix of the Poincaré 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.
