基于SGHT的航天器微振动信号处理方法  

Spacecraft Micro-vibration Signal Processing Method Based on Symplectic Geometry Hilbert Transform

作　　者：陈继喆 章海鹰[1,2,4] CHEN Jizhe;ZHANG Haiying(National Astronomical Observatories/Nanjing Institute of Astronomical Optics&Technology,Chinese Academy of Sciences Nanjing,210042,China;CAS Key Laboratory of Astronomical Optics&Technology,Nanjing Institute of Astronomical Optics&Technology Nanjing,210042,China;University of Chinese Academy of Sciences Beijing,100049,China;School of Astronomy and Space Science,University of Chinese Academy of Sciences Beijing,100049,China)

机构地区：[1]中国科学院国家天文台南京天文光学技术研究所,南京210042 [2]中国科学院天文光学技术重点实验室(南京天文光学技术研究所),南京210042 [3]中国科学院大学,北京100049 [4]中国科学院大学天文与空间科学学院,北京100049

出　　处：《振动．测试与诊断》2023年第6期1073-1080,1240,1241,共10页Journal of Vibration,Measurement & Diagnosis

基　　金：中国科学院战略性先导科技专项资助项目(XDA15320102)。

摘　　要：针对现有常用航天器微振动信号处理方法的不足,以辛几何模态分解方法(Symplectic geometry mode decomposition,简称SGMD)为基础,结合希尔伯特谱分析(Hilbert spectrum analysis,简称HSA),提出辛几何-希尔伯特转换(Symplectic geometry Hilbert transform,简称SGHT)方法。首先,根据输入信号,采用辛矩阵相似变换求解Hamilton矩阵的特征值,利用其对应特征向量重构单分量信号;其次,通过计算归一化互信息,将相似的分量合并为辛几何分量(Symplectic geometry component,简称SGC),用输入信号与计算得到的SGC分量相减,得到新的输入信号进行下一轮迭代,直至满足终止条件;最后,进行希尔伯特转换,并输出结果。通过微振动信号模型的仿真验证,与目前常用的微振动信号处理方法相比,在非平稳的复杂微振动信号下,SGHT方法表现出较好的分解性能和处理能力。使用该方法处理先进天基太阳天文台(advanced space-based solar observatory,简称ASO-S)卫星/全日面矢量磁像仪(full-disk vector magneto graph,简称FMG)载荷的地面微振动试验信号,可以识别出多个SGC分量,计算的角位移估计包络在0.015"以内,其结果对载荷研制具有实际工程意义。Symplectic geometry Hilbert transform(SGHT)is proposed to improve current methods for space-craft micro-vibration signal process.This proposed method is based on symplectic geometry mode decomposi-tion(SGMD)and Hilbert spectrum analysis(HSA).Firstly,the eigenvalues of Hamilton matrix are solved by symplectic geometry similarity transformation and the single component signal can be reconstructed by corre-sponding eigenvectors.Then,by calculating normalized mutual information,similar components are merged into Symplectic geometry component(SGC)and the input signal is subtracted from the calculated SGC compo-nent to obtain a new input signal for the next round of iteration until the termination condition is satisfied.Fi-nally,Hilbert transform is performed on each SGC to calculate the Hilbert marginal spectrum.The simulation results show that,the proposed SGHT method has better decomposition performance and processing ability un-der the non-stationary complex micro-vibration signal,compared with the common micro-vibration signal pro-cessing methods.Using SGHT method to process the advanced space-based solar observatory(ASO-S)/full-disk vector magneto graph(FMG)ground micro-vibration test signals,SGC components can be identified and the estimated angular displacement envelope is less than 0.015",showing practical engineering significance for satellite and payload development.

关 键 词：航天器 微振动 辛几何 希尔伯特 边际谱 

分 类 号：TH113.1[机械工程—机械设计及理论]