双滚珠自动抑制转子主共振的机理(线性支承刚度)

Mechanism of automatic suppression of the primary resonant of rotor by double balls balancer(Linear support stiffness)

通过理论分析和数值计算,研究了在Jeffcott转子的回转体中加入双滚珠的转子系统的周期解及其稳定性.研究表明,转子系统在临界转速以下运行时,滚珠使转子的不平衡加剧,不平衡响应增大;而在临界转速以上运行时,滚珠能使转子自动达到平衡,不平衡响应稳定为零.另外,由于滚珠运动的影响,在转速刚过临界转速附近,由于不存在稳定的周期解,系统发生概周期运动.

Through the theoretic analysis and numerical calculation, the periodic solution and its stability of Jeffcott rotor equipped with automatic double balls balancer are studied and the following results are achieved： When the rotate speed of the rotor is below the critical speed of revolutions, the bails help intensify the tinbalance of the rotor and the unbalance response increases. On the other hand, the rotor can be balanced automatically by balls, and the unbalance response is zero. In addition, because of the influence of the balls, the periodic solution of the rotor is unstable when the rotate speed of the rotor is just above the critical speed of revolutions. So the quasi-Periodic Oscillation occurs in the system.