Abstract:□Mass unbalance of flexible shaft is distributed arbitrarily and spacially along rotor axis, so distributed unbalance and lumped unbalance should be considered and represented respectively for mass unbalance simulation of real rotor system. Take into account the random nature of these two unbalances in flexible shaft, they are represented in terms of random fields and random variables. The stochastic analysis of unbalance response of rotor system with random mass unbalances are performed using spectral stochastic finite element method by intrusive way. Numerical results illustrated that the presented stochastic representation methods of distributed and lumped mass unblances are suitable to simulate the random nature of mass unbalance. Results show that the variations of unblance response are largely effected by the randomness of unbalance, for example, (1) the standard devitations of displacement amplitudes near the resonance frequencies become larger; (2) the effects of resonance frequences at the lower frequency band to the coefficient of variation of displacement amplitudes are less, but the effects increase with the higher resonance frequency order; (3) the change curve of the standard deviation of displacement phase angle is similar to that of coefficient of variation of displacement amplitudes.
周生通1,李鸿光2,张龙1,周新建1. 基于嵌入式谱随机有限元法的转子系统随机不平衡响应特性分析[J]. 振动与冲击, 2016, 35(19): 45-49.
ZHOU Sheng-tong1, LI Hong-guang2, ZHANG Long1, ZHOU Xin-Jian1. Stochastic Unbalance Response Analysis of Rotor System Based on Intrusive Spectral Stochastic Finite Element Method. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(19): 45-49.
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