摘要
从理论上分析了考虑粘性阻尼作用时弹性支承上的双盘转子以匀角加速度转动的非稳定性振动特性,得出了非稳定振动的运动微分方程及其精确解和近似表达式,计算了当临界速度比和加速度参数为各种不同值时的精确解和近似表达式结果。发现振动现象在一定条件下,可以按照某一特征量之值分为3类,并提出了计算转轴经过第一临界速度时,这3种振动对靠近第二临界速度的非稳定振动的影响的公式。
The nonstationary vibration of two discs rotor on elastic bearings under the condi- tion of uniform acceleration rate is analyzed theoretically taking account of the damping force.The exact solution and its approximate expressions of the nonstationary vibration are derived and their calculated results with respect to various values of the critical speed ration and the acceleration parameter are shown.The vibrational phenomena may be classified into three cases according to a characteristic value under some conditions.A formula is developed to determine the influence of the three cases of vibration on the nonstationary vibration near the second critical speed when the rotor shaft passages through the first critical speed.
关键词
非稳定性振动
临界速度比
偏心率
nonstationary vibration
critical speed ration
acceleration parameter
modal eccentricity
