考虑参数不确定性的转子系统瞬态动平衡研究

针对含不确定性参数的转子系统,提出了一种基于区间数学、泰勒展开和摄动理论的转子瞬态响应区间分析法.该方法求解不确定性问题时无需不确定参数的具体概率分布,适用于一般性工程分析.利用转子瞬态响应信息对一弹性支承双盘转子进行瞬态动平衡.将不确定性引入动平衡过程,分析了不同不确定性水平下不确定性参数对瞬态动平衡效率的影响.研究结果表明,该方法能有效分析转子不确定性瞬态响应,随着不确定水平增大,转子动平衡效率大幅降低.

Transent dynamic balancing of rotor system with uncertainties

An interval analysis method of rotor transient response based on interval mathematics, Taylor expansions and perturbation theory is proposed to analyze the transient response of flexible rotors with uncertain parameters. As the specific probability distribution of uncertain parameters is not required, the interval analysis method is more suitable for practical use in comparison with traditional probability methods when dealing with the uncertain problems. Transient dynamic balancing method of flexible rotors based on transient response information was then introduced, and the simulation of a double-disc rotor with elastic supports was carried out. The influence of uncertainties on the balancing efficiency was analyzed by introducing uncertainties into the transient dynamic balancing process. The results show that the uncertainties can cause significant reduction in dynamic balancing efficiency and increasing of the residual vibration.