CAJ | 학술논문

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。
위극복전체구진법수치불은정급비선성순태향응분석중활동축승구진건립곤난문제，제출 Riccati-New-mark 가속도전체구진법。차조 Newmark 가속도법건립전체구진，채용 Taylor 급수예고활동축승축심하일시각위이、속도건립활동축승구진；거변계조건용 Riccati 전체구진법구활동축승－전자계통비선성순태향응，제고수치은정성。이단원반전자계통위례，여전통축경하일시각위이、속도근사선성우동처리적순태향응대비분석，험증차방법적유효성；토론불동전속하선성、비선성유막력적순태궤적。
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.