融合柔性基础传递函数的转子系统建模方法及验证

doi:10.7527/S1000-6893.2023.29250

Abstract

Abstract:

Modern high-end turbomachines， such as aviation engines and rocket turbo pumps， have extremely high demands for performance. The flexible support structure of these machines results in significant coupling of vibration characteristics between the rotor and flexible foundation， making it necessary to include the flexible support structure in the overall dynamic analysis. However， the modeling process of high accuracy flexible support structures needs to take considerable time， and the simplified support model cannot represent the dynamic characteristics of real support structures. Therefore， a simulation method for rotor system dynamic modeling integrated with flexible foundation transfer functions is proposed. The measured transfer functions of the flexible foundation are fitted by the state subspace method to obtain a low-dimensional mathematical model with time-domain and frequency-domain representation. The flexible foundation model is coupled to the rotor finite element model through the support force model to form a hybrid rotor dynamic model based on physical transfer functions. At the same time， a model transformation strategy for flexible foundations from steady-state to transient is proposed， and a fast transient numerical integration method with linear-nonlinear （explicit-implicit） node separation is used to solve the problem. Based on the proposed model and computational method， numerical simulations of steady-state and transient dynamics of the flexible foundation-rotor system are conducted， as well as vibration testing experiments with the sweep frequency excitation at a stable speed and unbalance excitation during shut-down. The results show that the measured vibration characteristics of the flexible foundation can be effectively coupled in the overall dynamic analysis， and the transient dynamic response predicted by the rotor dynamic model， considering the flexible foundation characteristics， is more consistent with the experimental results. The proposed method provides an effective approach for modeling and simulating the overall system with complex flexible foundations.

Key words: rotordynamics, flexible foundation, transient simulation, transfer function, fast transient numerical integration

CLC Number:

TK472

Shuai LI, Qihang LI, Can CHEN, Zhifa FANG, Weimin WANG. Modeling method and verification for rotor systems integrated with transfer functions of flexible foundation[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(3): 229250-229250.

Figures/Tables 12

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References 24

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节点位置	刚度/（MN·m^-1）
节点位置	k_xx	k_xy	k_yx	k_yy
轴承节点10	23.9	7.8	-7.1	28.1
轴承节点59	24.6	10.2	-8.9	24.5
节点位置	阻尼/（N·s·mm^-1）
节点位置	c_xx	c_xy	c_yx	c_yy
轴承节点10	28.9	-7.2	11.2	24.2
轴承节点59	36.2	2.9	8.8	36

峰值名称	特性	稳态	瞬态	差值/%
转子一阶	频率/Hz	77.90	77.71	0.24
转子一阶	柔度幅值/（m·N^-1）	3.46×10^-7	3.43×10^-7	0.92
柔基一阶	频率/Hz	64.70	64.46	0.37
柔基一阶	柔度幅值/（m·N^-1）	1.24×10^-7	1.25×10^-7	0.48
柔基二阶	频率/Hz	118.90	118.02	0.74
柔基二阶	柔度幅值/（m·N^-1）	3.47×10^-8	3.50×10^-8	0.89

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Modeling method and verification for rotor systems integrated with transfer functions of flexible foundation

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