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为了探究弹性杆振动筛筛杆运动对筛分效果的影响,利用Poincarè映射研究了碰撞过程中筛杆周期运动的稳定性.结果表明,筛杆随着振动筛工作频率ω的变化向混沌运动的演化过程为概周期运动→环面倍化→锁相→混沌.以弹性杆振动筛的常用振幅4 mm,筛杆的常用间隙8 mm为例,当工作频率ω<55 rad/s只发生单面碰撞,当55 rad/s<ω<55.9 rad/s时,筛杆呈现稳定的概周期运动;当55.9 rad/s<ω<56.14 rad/s时,筛杆运动的Poincarè映射投影图,是一个吸引不变环;当56.14 rad/s<ω<56.2 rad/s,筛杆运动的Poincarè映射投影图是环面倍化;当56.2 rad/s<ω<56.4 rad/s,筛杆运动的Poincarè映射投影图是锁相;当ω>56.4 rad/s,筛杆呈现混沌运动.
In order to investigate the influence of the rod-shaker movement on the screening effect, Poincarè mapping was used to study the stability of the periodic movement of the sieve rod during the collision process. The results show that with the change of the operating frequency ω of the shaker to chaos The evolution process is almost periodic motion → torus → lockup → chaos.Using the common amplitude of elastic rod shale shaker as 4 mm and the common gap of sieve rod as an example, when the working frequency ω <55 rad / s occurs only Plane collision, the screen rod exhibits a stable almost periodic motion at 55 rad / s <ω <55.9 rad / s; the Poincarè projection projection of the screen rod motion at 55.9 rad / s <ω <56.14 rad / s is A attracting invariant ring; the Poincarè mapping projection of the screen rod motion is toroidal multiplication when 56.14 rad / s <ω <56.2 rad / s; when 56.2 rad / s <ω <56.4 rad / s, The Poincarè mapping projection is phase-locked; when ω> 56.4 rad / s, the sieve rod presents a chaotic motion.