基于HB-AFT方法的不对中转子系统超谐共振分析  

Superharmonic Resonance Analysis of Misaligned Rotor System Based on HB-AFT Method

作　　者：李洪亮[1] 侯磊[1] 徐梅鹏 陈予恕[1] LI Hongliang;HOU Lei;XU Meipeng;CHEN Yushu(School of Astronautics, Harbin Institute of Technology, Harbin 150001)

机构地区：[1]哈尔滨工业大学航天学院

出　　处：《机械工程学报》2019年第13期80-86,共7页Journal of Mechanical Engineering

基　　金：国家重点基础研究发展计划(2015CB057400);国家自然科学基金(11602070);中国博士后科学基金(2018T110282)资助项目

摘　　要：考虑球轴承的非线性支承力和联轴器不对中的影响,建立含套齿联轴器的偏盘转子系统动力学模型,研究系统在转子不平衡激励和联轴器不对中激励共同作用下的非线性响应特性。针对具有分段和分数指数强非线性特性的动力学方程,采用谐波平衡法-时频域转换技术(HB-AFT)求得系统的周期解,并与数值积分结果进行对比,证明HB-AFT方法的有效性。结合弧长延拓方法和Floquet理论分析转子系统的超谐波共振特性,在低速区发现若干超谐波共振区域,其中以第三次超谐波共振较为明显。在高速区发现二次超谐波共振,共振曲线具有明显的硬弹簧特征且上翘,共振峰值较大,容易发生剧烈的振动突跳行为,给转子系统造成冲击和损害。探讨轴承间隙、轴承阻尼、不对中和外加载力(定常载荷)对超谐波共振曲线的影响规律,为控制策略的制定提供了一定的参考依据。A dynamics model of biased-disk and nonlinear-ball-bearing rotor system is established with tooth coupling misalignment. On account of strong piecewise nonlinearity and fractional exponents in the dynamic equations, the periodic solution of the system is obtained by harmonic balance method with alternating frequency/time domain technique (HB-AFT), which is validated by the classics numerical integration method. Combined with arc-length continuations method and Floquet theory, the superharmonic resonance characteristics of the rotor system are analyzed. Several superharmonic resonance regions are found in the low speed region and the second superharmonic resonance is found in the high speed area, where resonance peak is large that could causing catastrophic impact and damage to the rotor system. The influence of bearing clearance, bearing damping, coupling-misalignment and external loading force (steady load) on the superharmonic resonance curve is discussed, which provides a consultation for the system optimization of control strategies.

关 键 词：联轴器不对中 非线性支承 HB-AFT方法 超谐共振 

分 类 号：V231[航空宇航科学与技术—航空宇航推进理论与工程]