Bifurcation analysis for a modified Jeffcott rotor with bearing clearances
Bifurcation analysis for a modified Jeffcott rotor with bearing clearances
复制标题
DOI：
10.1007/bf01858295
复制
发表时间：
1990-05
影响因子：
5.6
通讯作者：
Y. B. Kim;S. Noah
中科院分区：
文献类型：
--
作者：
Y. B. Kim;S. Noah
开发了 HB（谐波平衡）/AFT（交替频率/时间）技术，以获得具有轴承间隙的水平 Jeffcott 转子的同步和次同步旋转运动。该方法利用显式雅可比形式进行迭代过程，保证所有参数值的收敛。该方法被证明为分析二维非线性转子问题构成了稳健且精确的数值方案。使用关于周期运动的摄动方程获得稳态运动的稳定性分析。相关 Monodromy 矩阵的 Floquet 乘数是使用新的离散 HB/AFT 方法确定的。获得了翻转分叉边界，这有助于检测系统参数变化时可能的转子混沌（不规则）运动。由于转子模型中不稳定的交叉耦合刚度系数的增加，二次 Hopf 分岔也导致了准周期运动的发生。
A HB (Harmonic Balance)/AFT (Alternating Frequency/Time) technique is developed to obtain synchronous and subsynchronous whirling motions of a horizontal Jeffcott rotor with bearing clearances. The method utilizes an explicit Jacobian form for the iterative process which guarantees convergence at all parameter values. The method is shown to constitute a robust and accurate numerical scheme for the analysis of two dimensional nonlinear rotor problems. The stability analysis of the steady-state motions is obtained using perturbed equations about the periodic motions. The Floquet multipliers of the associated Monodromy matrix are determined using a new discrete HB/AFT method. Flip bifurcation boundaries were obtained which facilitated detection of possible rotor chaotic (irregular) motion as parameters of the system are changed. Quasi-periodic motion is also shown to occur as a result of a secondary Hopf bifurcation due to increase of the destabilizing cross-coupling stiffness coefficients in the rotor model.