Stability and steady-state response analysis of a single rub-impact rotor system

Stability and steady-state response analysis of a single rub-impact rotor system
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单个碰摩转子系统的稳定性和稳态响应分析

DOI:
10.1007/s00419-014-0906-2
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发表时间:
2015
影响因子:
2.8
通讯作者:
Yang Liu
Yang Liu
中科院分区:
工程技术4区
文献类型:
--
作者:
Xingyu Tai;Yang Liu

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采用考虑陀螺效应的单转子碰摩集中质量模型,研究了碰摩转子系统的稳定性和稳态响应。转子和定子之间的接触采用简单的库仑摩擦和分段线性弹簧模型描述。采用谐波平衡法与伪弧长延拓相结合的算法计算非线性系统的稳态振动响应。同时,利用Hill方法对系统的稳定性进行了分析。研究了以差距大小、定子刚度和不平衡量为控制参数时系统的非线性动力学特性。结果表明,差距的大小决定了碰摩发生的位置,较小的间隙可以提高系统的稳定性。随着定子刚度的增加,转子系统会出现非定常运动。此外,不平衡直接影响振动振幅,随着不平衡的增加,振动振幅变大。
Using a lumped mass model of a single rub-impact rotor system considering the gyroscopic effect, the stability and steady-state response of the rotor system are investigated in this paper. The contact between the rotor and the stator is described by the simple Coulomb friction and piecewise linear spring models. An algorithm combining harmonic balance method with pseudo arc-length continuation is adopted to calculate the steady-state vibration response of a nonlinear system. Meanwhile, Hill’s method is used to analyze the stability of the system. The nonlinear dynamic characteristics of the system are investigated when the gap size, stator stiffness and unbalance are regarded as the control parameters. The results show that the gap size determines the location of the rub-impact; besides, the smaller gap can improve the stability of the system. The unsteady motion can be found as the stator stiffness increases. Moreover, the unbalance directly affects vibration amplitude, which becomes greater with the increasing imbalance.
DOI: 10.1016/j.mechmachtheory.2006.03.007
发表时间: 2007-03
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