导出了转子－支承系统的基本微分方程井运用Ｇａｌｅｒｋｉｎ法对一种新的高精度转子单元进行了推导。采用该单元对几个算例进行了计算并与试验结果及其它文献的相应结果进行了比较。计算结果表明，该单元具有良好的精度。 Derived the basic differential equations of the rotor-support system and deduced a new high-precision rotor unit by Galerkin method. A few examples were calculated using this element and compared with the test results and the corresponding results from other literature. The calculation results show that the unit has good accuracy.