影响系数法平衡中的病态方程研究

动平衡技术是用于消除转子不平衡故障的最为重要的手段,影响系数法则是动平衡技术中的一项重要方法,但是在实际操作中影响系数法可能受到病态方程的影响而降低平衡效率。针对可能出现的病态方程问题,建立了单跨转子模型,采用转子振动的模态理论分析了影响系数法中出现病态方程的机理,并在此基础上进行了实验研究。研究结果表明,影响系数法可用于柔性转子动平衡,但是转子在特定转速和配重面可能受到病态方程的影响,而选择合理的平衡转速和平衡配重面是避免病态方程的主要途径。

A Study of Ill-conditioned Equations Involved in a Dynamic Balancing Process When Influence Coefficient Method is Used

Dynamic balancing technology provides the most important means for the elimination of unbalance faults of rotors while influence coefficient method(ICM) represents a major approach in dynamic balancing techniques.However,in practical operations the balancing efficiency may be lowered due to the influence of ill-conditioned equations.To cope with the problem of possible emergence of ill-conditioned equations,a single-span rotor model was established and by using rotor vibration mode theory the mechanism governing the appearance in the ICM of ill-conditioned equations analyzed.On this basis,an experimental study was conducted.The research results show that the ICM can be used for the dynamic balancing of flexible rotors.However,the rotors may be influenced by the ill-conditioned equations at a special rotating speed and a special counterweight plane while the selection of a rational balancing speed and balanced counterweight plane constitutes a main measure for avoiding the ill-conditioned equations.