考虑油膜不确定性的滑动轴承&mdash;转子系统不平衡量识别

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (18) : 214-221.

论文

考虑油膜不确定性的滑动轴承—转子系统不平衡量识别

毛文贵1,2 李建华1 刘桂萍2 刘杰2

作者信息 +

Unbalance parameters identification for a sliding bearing-rotor system considering the uncertain parameters

MAO Wengui 1, 2 LI Jianhua 1 LIU Guiping 2 Li Jie2

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文章历史 +

摘要

本文针对滑动轴承—转子系统不平衡量识别过程中滑动轴承油膜特性系数的不确定性，提出了考虑油膜不确定性的转子系统不平衡量的识别方法。此方法首先考虑滑动轴承油膜特性系数为不确定因素，基于区间数学理论和一阶泰勒级数展开式的区间法将具有不确定性结构的不平衡量识别问题转化为两类确定性结构的不平衡量识别问题；其次对于确定性结构的不平衡量识别问题根据滑动轴承—转子系统运行时不平衡量是以不平衡力的形式作用于主轴上，提出将不平衡力在时域内用一系列的脉冲函数来表示，利用滑动轴承—转子系统的瞬态响应分析方法来构建正问题，结合正则化方法处理不平衡量识别中的病态问题，获得转子系统不平衡量的上边界和下边界。最后通过一转子实验台检验了不平衡量识别方法的有效性和鲁棒性。

Abstract

The bearing dynamic parameters is uncertain in the sliding bearing-rotor system. An unbalance parameters identification method considering the uncertain parameters is presented to identify the unbalance parameters of a sliding bearing-rotor system. In this method, firstly, considering the uncertain parameters in the sliding bearing conditions, an unbalance parameters identification method containing uncertain parameters (bearing dynamic parameters) can be transformed into two deterministic inverse problems through interval mathematics and the interval analysis method. Then, in the unbalance parameters identiﬁcation problem of the sliding bearing-rotor system, the unbalance forces are expressed as the functions of time according that unbalance parameters acting on the sliding bearing-rotor system is the form of unbalanced force, and the forward model is established through the discretized convolution integral of unbalance forces and the corresponding transient response functions of the sliding bearing-rotor system. A regularization method is adopted to deal with the ill-posedness arising from the deconvolution and noisy responses, the upper and lower bounds of the unbalance parameters can be easily obtained through interval expanding operation. Finally, the efficiency and robustness of the proposed method are verified by a test rig.

导出引用

毛文贵1,2 李建华1 刘桂萍2 刘杰2. 考虑油膜不确定性的滑动轴承—转子系统不平衡量识别[J]. 振动与冲击, 2016, 35(18): 214-221

MAO Wengui 1, 2 LI Jianhua 1 LIU Guiping 2 Li Jie2. Unbalance parameters identification for a sliding bearing-rotor system considering the uncertain parameters[J]. Journal of Vibration and Shock, 2016, 35(18): 214-221

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