根据反射镜架系统中运动学支撑连接的物理接触形式，采用相应的位移协调方式来模拟其连接，建立了一个镜架结构的有限元模型，并分析了该镜架系统的模态及结构在地脉动载荷下的微振动分析。得到前三阶模态固有频率的最大误差小于5%，各测点的位移响应均方根的计算值与试验值吻合较好，多数点位移均方根误差控制在30%以内，且各支撑连接部位的传递特性的计算结果与试验结果比较一致，验证了所采用的运动学支撑连接的建模方法的可行性。

The paper presents the consistent displacement method to model the kinematic interface joints according to their contact form in reflector systems. The finite element(FE) model of a reflector system is built subjected to the assuming, the modal analysis and the micro-vibration calculations are done on the FE model. The most error of computing first three order intrinsic frequencies is less 5%. The displacement root mean square(RMS) responses are consistent with results of tests, the displacement RMS errors about a great number of points are less 30%. Moreover, the transfer characteristics of four kinematic interface locals are consistent with results of the test. These results show that the method of modeling results the kinematic interface joints is feasible.