滑动轴承－转子系统 Riccati-Newmark 加速度传递矩阵法

摘要

In order to eliminate the numerical instability of transfer matrix method and to build a transfer matrix of nonlinear elements(bearings),the Riccati transfer matrix method was extended to the transient analysis of nonlinear rotor-bearing systems.In the method,the transfer matrix was obtained with the aid of the Newmark acceleration formulation,the deflections and velocities at the stations containing nonlinear element (bearings)were predicted by Taylor series,and then the deflections,velocities and accelerations at all stations were solved by using the Riccati transfer matrix method combined with the Newmark acceleration formulation integration according to the boundary conditions.An example of single disc rotor system was presented and the results were compared with those by a transient analysis considering linear perturbation and linear oil film force to verify the effectiveness of the proposed method.%为克服传递矩阵法数值不稳定及非线性瞬态响应分析中滑动轴承矩阵建立困难问题，提出 Riccati-New-mark 加速度传递矩阵法。借助 Newmark 加速度法建立传递矩阵，采用 Taylor 级数预估滑动轴承轴心下一时刻位移、速度建立滑动轴承矩阵；据边界条件用 Riccati 传递矩阵法求滑动轴承－转子系统非线性瞬态响应，提高数值稳定性。以单圆盘转子系统为例，与传统轴颈下一时刻位移、速度近似线性扰动处理的瞬态响应对比分析，验证此方法的有效性；讨论不同转速下线性、非线性油膜力的瞬态轨迹。