The compute model of shafts of the machines is built by adopting concentrated mass method . taking into account the different support conditions of the shafts that workshop is considered as rigidity or elasticity ; the natural characteristic and unbalanced response of the shafts are computed by integrating with high stable riccati transfer matrix method 采用集总质量法对机组轴系建立了计算模型,并结合稳定性良好的riccati传递矩阵法,分别考虑机组轴系的支撑基础(厂房)为刚性、弹性两种情况,计算了机组轴系的自振特性、轴系的不平衡响应。