A receptance harmonic balance technique for the computation of the vibration of a whole aero-engine model with nonlinear bearings
A receptance harmonic balance technique for the computation of the vibration of a whole aero-engine model with nonlinear bearings
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DOI：
10.1016/j.jsv.2009.01.039
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发表时间：
2009-07
影响因子：
4.7
通讯作者：
P. Bonello;P. M. Hai
中科院分区：
文献类型：
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作者：
P. Bonello;P. M. Hai
当前用于快速计算具有非线性轴承的不平衡转子动力系统的稳态周期性振动的频域技术并不适合航空发动机组件等实际发动机结构。在本文中，设计了一种全发动机接收谐波平衡方法（RHBM），该方法首次允许对这种结构进行频域分析。该方法利用一次性特征值分析获得的非旋转条件下结构线性部分的感受函数来建立旋转非线性组件的方程。求解的未知数是非线性轴承处相对位移的傅立叶系数加上一些额外的未知数。后面的这些未知数使得能够在仅具有一个线性点支撑或根本没有线性点支撑的超静定转子存在的情况下解决该问题。对实际尺寸的代表性双转子发动机进行的模拟测试显示，与最近开发的脉冲接收方法 (IRM) 获得的时间推进结果具有良好的相关性。事实证明，当与 IRM 等时间推进求解器结合使用时，RHBM 是一种非常强大的工具，可以极大地促进对现实发动机结构进行迄今为止高度受限的非线性动态分析。
Current frequency-domain techniques for the rapid computation of the steady-state periodic vibration of unbalanced rotordynamic systems with nonlinear bearings are not suitable for realistic engine structures like aero-engine assemblies. In this paper, a whole-engine receptance harmonic balance method (RHBM) is devised that, for the first time, allows the frequency domain analysis of such a structure. The method uses the receptance functions of the linear part of the structure under non-rotational conditions, obtained from a one-off eigenvalue analysis, to set up the equations for the rotating nonlinear assembly. The unknowns solved for are the Fourier coefficients of the relative displacements at the nonlinear bearings plus a few extra unknowns. These latter unknowns enable solution of the problem in the presence of statically indeterminate rotors that have just one linear point support or none at all. Simulation tests on a realistically sized representative twin-spool engine showed excellent correlation with time-marching results obtained from the recently developed impulsive receptance method (IRM). It is demonstrated that, when used in conjunction with a time-marching solver like the IRM, the RHBM is a very powerful tool that should greatly facilitate the hitherto highly restricted nonlinear dynamic analysis of realistic engine structures.