Based on the perturbation riccati transfer matrix method , the calculating program are developed . the program can be used to the perturbation analysis and the sensitivity analysis of the real and complex , the single and repeated eigenvalues and eigenvectors for lateral vibration of rod and beam structures , especially suitable to the perturbation analysis and the sensitivity analysis of eigenvalues and eigenvectors for rotordynamic systems ; 2 . the perturbation riccati transfer matrix method was applied to identify the parameters of the rotor for a boiler supply pump , and the accurate dynamic model of the rotor was archived 该程序可以对杆、梁结构横向弯曲振动的实数、复数的孤立和重频特征值问题进行摄动分析和灵敏度分析，特别是适合于转子动力学系统特征值和特征向量问题的摄动分析和灵敏度分析； 2 、用摄动riccati传递矩阵方法解决了某电站锅炉给水泵转子的参数识别及动力模型修改的问题，并给出了该种型号的给水泵转子的更准确的力学模型，为进一步的转子动力学分析与设计奠定了可靠基础； 3 、给出了摄动理论在相关领域如随机特征值分析、随机振动响应分析、可靠性分析、灵敏度分析、优化设计以及参数识别中的应用公式。
Second , we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability . we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger , that is to say , they benefit the occurance of symmetric instability . third , we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane . non - hydrostatic balance and filiter model 第二，讨论了环境位温与热成风因子对中尺度对称不稳定的影响。运用解析的方法求出了扰动流函数的表达式和对称不稳定的判据，发现环境参考位温随高度的变化与热成风因子使得对称不稳定临界理查逊数及扰动的临界半波长都变大，这有利于对称不稳定的发生。第三，采用f平面、非静力平衡、滤声波模式，讨论了中尺度垂直环流非线性摄动分析及演变方程。
