摘要
建立双盘悬臂柔性转子同心型挤压油膜阻尼器（ＳＦＤ）系统关于其稳态圆响应的扰动方程，利用李亚普诺夫第一近似理论对系统的特征矩阵进行了稳定性分析。其结果是系统参数的变化对于不稳定区的分布有很大的影响；由于油膜力的非线性，系统存在多个稳态圆响应的情况——双稳态现象；在稳态圆响应失稳区内存在其他形式的稳定的稳态响应和非协调响应。
We analyze the stability characteristics of steady state circular response of rotor with two disks supported as shown in Fig.1, where the right hand support includes the centralizing SFD (squeeze film damper) feature. We analyze such characteristics with Lyapunov First Order Criterion. We obtain the eigen values of the characteristic matrix of the system′s perturbation equations of motion and we evaluate the rotor orbit with four step Runge Kutta integration method. Fig.2 shows that the unstable response regions are much influenced by parameters. When we select suitable parameters, we can obtain totally stable responses and comparatively smaller vibration amplitude as shown in Fig.2a. Fig.2b and 2c show that before reaching the response peaks, unstable responses appear; within the instability range, there are three circular responses, of which one is unstable and the two others are stable. Fig.3 shows that there exist also other kinds of steady state responses, non synchronous responses, and quasi periodic and chaotic responses.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1999年第2期192-197,共6页
Journal of Northwestern Polytechnical University
基金
航空发动机预研课题
关键词
稳态圆响应
转子
SFD
稳定性
双盘悬臂转子
squeeze film damper (SFD), stability, steady state circular response
