摘 要：将保辛的时间有限元方法应用于陀螺系统，扩展时间有限元方法的应用领域。同时导出陀螺系统时间有限元方法的形函数矩阵、时间单元刚度阵列式和非齐次外力的表达式。该方法既继承了有限元保辛的优良特性，又大大提高了数值计算精度，具有非常明显的优越性。算例给出本文方法、四阶Runge-Kutta方法与Newmark方法的比较结果，进一步表明本方法的优越性。

Abstract: Based on the variational principle, time domain finite element method of gyroscopic systems is presented. The corresponding trial function matrix, element stiffness matrix and inhomogeneous force are given. The method inherits the property of symplectic conservation and enhances computational accuracy. The example comparing the numerical results obtained from three different methods: time domain FEM, 4th order Runge-Kutta method and Newmark method demonstrates the advantages of time domain FEM.