柔性转子─支承系统瞬态响应分析的模态叠加─Riccati传递矩阵法

利用模态叠加概念和Ｎｅｗｍａｒｋβ差分公式，采用加速度型状态变量，导出了非线性柔性转子一支承系统中分布质量轴段的场传递矩阵，然后用Ｒｉｃｃａｔｉ传递矩阵法稳定空间边界值问题，提出了分析柔性转子一支承系统瞬态响应的模态叠加一Ｒｉｃｃａｔｉ传递矩阵法。此法未对非线性元件作线性化近似处理，所以对弱、强非线性系统均适用，此法的传递矩阵维数低、稳定性好、计算精度和效率较高、易程序化，尤其适合于分析含强非线性元件大型柔性转于一支承系统的瞬态响应。

Mode Superposition-Ricaati Transfer Matrix Method for Transient Analysis of Flexible Rotor-Bearing Systems

A mode superposition-Riccati transfer matrix method is proPO8ed for solving the transient reponses of flexible rotor-bearing systems with strong nonlinear elements in this paper,in which the field transfer matrix of a distributed mass shaft segment is obtained with the idea of mace superPOsition and the Newmark 5 formulation,and the Riccati transfer matrix method is adopted to stabilize the boundary value problem of nonlinear systems.In this investigation,the real nonlinear elements are considered,not linearized,and the advantages of the Riccati transfer matrix method are retained and improved.So this method is specially applicable to analyzing the transient response of large scale rotor-beaing systems with strong nonlinear elements.Results obtained from two examples show that this method is effective.