中文摘要：

应用多体系统传递矩阵法，推导了激光陀螺捷联惯导减振系统各元件的传递方程和传递矩阵，建立了相应的多体系统动力学模型，获得了系统总传递方程、总传递矩阵和响应的功率谱密度。分别应用文中方法和通常振动分析方法，获得了随机输入条件下激光陀螺捷联惯导减振系统动态响应的功率谱密度，仿真结果对比表明了文中方法的有效性。文中方法无需建立系统总体动力学方程，计算速度快、建模灵活，为激光陀螺捷联惯导系统减振设计提供了新的技术手段。

英文摘要：

The dynamic model of multibody system was developed for the damping system of strapdown inertial navigation. The transfer equations and transfer matrices of the damping system were derived, and the overall transfer equation, the overall transfer matrix and the power spectrum density of the system response were obtained by Transfer Matrix Method of multibody system. The general method for vibration analysis and the proposed method were respectively used to obtain the dynamic responses of the damping system with random input. The feasibility and effectiveness of this method was verified by the simulation results. The method had numerous advantages of modeling flexibility and higher computational speed without developing global dynamics equations. Compared with other dynamic methods, the method was more beneficial to analysis for laser gyro strapdown inertial navigation system, and a new method has been provided for designing the damping system of strapdown inertial navigation.