基于半互功率谱密度及响应面法的干气密封系统工作模态分析

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (19) : 208-217.

论文

刘蕴1，刘全兴2，殷鸣3，殷国富1、3

作者信息 +

Operational modal analysis of dry gas sealing system based on semi-cross power spectral density and response surface method

LIU Yun 1 LIU Quanxing 2 YIN Ming 3 YIN Guofu 1、3

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摘要

干气密封装置的动态特性会直接影响密封的可靠性，本文针对具有复杂结构的干气密封装置，实现对其工作模态的研究。基于多参考点最小二乘复频域法（PolyLSCF），分别采用互功率谱函数（Cross Power Spectra）和半互功率谱密度函数（Cross Half PSD）实现对装置系统的工况模态分析及识别，并通过数学指标：模态置信度（MAC）、平均相位偏差（MPD）、模态相位线性度（MPC）、模态复杂性（MOV）以及模态指示函数（MIF）对两个函数的模态结果进行验证，结果表明：采用半互功率谱密度函数的模态分析结果好于互功率谱函数，半互功率谱密度函数更适用于此类复杂结构系统的工作模态分析；不同操作条件下的模态结果表明：转速对于系统模态的影响大于介质压力。同时，本文建立了一种基于响应面方法的时变模态参数识别模型，以不同的操作条件（介质压力与转速）、方向和模态阶数为响应面变量，通过Box-Behnken试验设计选取合适的变量样本点，建立系统模态参数的完整二次多项式工作模态响应面模型并验证了其有效性，为实现时变模态的辨识提供了新的方法和技术支持。

Abstract

Dynamic characteristics of a dry gas seal device directly affect its seal reliability. Here, operational modes of a dry gas seal device with complex structure were studied. Based on the poly-reference least-squares complex frequency domain (PolyLSCFD) method, the operational modal analysis and identification of this system was performed using the cross power spectrum(CPS) andthe half-cross power spectral density (Half-CPSD). The modal analysis results were verified using mathematical indexes including the modal assurance criterion (MAC), the mode phase deviation (MPD), the mode phase collineation (MPC), the mode complexity (MOV) and themode indication function (MIF). The results showed that the modal analysis results with Half-CPSD are better than those with CPS, Half-CPSD is more suitable for the operational modal analysis of this type system; effects of rotating speed on the system’s modes are larger than those of medium pressure. At the same time, a model for time-varying modal parametric identification was established based on the response surface method. Taking operating conditions including medium pressure, rotating speed, rotating speed direction and modal order as response surface variables, appropriate variable sample points were selected using Box-Behnken test design. The complete quadratic polynomial operational modal response surface model for the system’s modal parameters was built and its effectiveness was verified. The results provided a new method and technical support for time-varying modal identification.

关键词

互功率谱函数

/ 半互功率谱密度函数 / 数学指标 / 模态验证 / 响应面模型 / 时变模态

Key words

Cross Power Spectra function / Cross Half PSD function / mathematical indicators / modals verification / response surface model / time-varying modal

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刘蕴1，刘全兴2，殷鸣3，殷国富1、3. 基于半互功率谱密度及响应面法的干气密封系统工作模态分析[J]. 振动与冲击, 2019, 38(19): 208-217

LIU Yun 1 LIU Quanxing 2 YIN Ming 3 YIN Guofu 1、3. Operational modal analysis of dry gas sealing system based on semi-cross power spectral density and response surface method[J]. Journal of Vibration and Shock, 2019, 38(19): 208-217

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