接近亏损系统模态灵敏度分析的有效算法

Efficient approach for modal sensitivity analysis for near defective systems

为求解振动系统特征问题的灵敏度分析,建立了快速计算状态向量导数的方法。该方法利用广义模态理论,将接近亏损系统的灵敏度分析转化为亏损系统的灵敏度分析问题来处理,并且在组合近似方法的基础上,引入松弛因子保证了系数矩阵的非奇异性,从而提供了接近亏损系统灵敏度分析的理论和方法。数值算例证明了算法的有效性。

For solving the sensitivity analysis of vibration systems,a rapid calculation of state vector sensitivity analysis derivatives was established.Based on the generalized modal theory,the sensitivity analysis of near defective systems could be transformed into one of the defective systems.A relaxation factor embedded in the combined approximations approach ensures the non-singularity of coefficient matrix.Moreover,the theory and method of near defective systems sensitivity analysis was given.The numerical example indicates the effectiveness of the algorithm.