带支反力矩的轴承数学模型

转子系统的动态性能,很大程度上依赖于轴承参数.在原轴承8参数数学模型的基础上提出了一个改进的模型,该模型考虑了轴颈处转角的变化导致的力的分布不均性,将其不均的力向轴承中心简化,得到一简化的力和一力矩,并推出了该力和该力矩的数学式.文中给出了一个算例,比较了在两种轴承的数学模型下,运用有限元素法计算出的转子系统临界转速.结果表明,当轴承刚度较大时,两种模型的结果之间存在较大的差异.因此,在转子系统的动力学设计过程中,有必要采用改进轴承数学模型,这对于提高转子系统动力学设计的精度具有理论意义.

Mathematical Model of Bearing with Bending Moment

The rotor's dynamic performances largely depend on bearing's parameters.On the base of former eight-parameter model,an improved model is advanced which calculates the ununiformity force due to the tiny obliquity of rotor axis.By simplification to the center of bearing,a force and a moment are educed.An example is given to compare the results of two models by calculating the rotors critical speed through the FEM(Finite Element Method).The results indicate that an obvious error will be brought about if the rigidity of bearing were much larger.Therefore,it is necessarily to introduce the improved model to the rotor's dynamic design,which has a significant meaning to increase the precision of calculation in rotor's system design.