用位形空间中的直接摄动法求解弱阻尼陀螺特征值问题

The solution of eigenproblem of slightly damped gyro-systems by the direct perturbation method in configuration space

提出一种位形空间中的直接摄动法来求解弱阻尼陀螺特征值问题，所提出的方法允许被摄模态有重特征值．

n the perturbation methods.currently used for the solution of eigenproblem of slightly damped gyro-systems, the problem with N degrees of freedom in configuration space is always transformed first into a linear eigenproblem with 2N degrees of freedom in state space and then solved by the perturbation method based on the modal expansion technique. These methods can not be applied to the case where the unperturbed modes have repeated eigenvalues. In this paper a direct perturbation method in configuration space is proposed to solve the problem. This method can deal with the case where the unperturbed modes have repeated eigenvalues.