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浙江大学学报(工学版)  2026, Vol. 60 Issue (11): 2319-2328    DOI: 10.3785/j.issn.1008-973X.2026.11.001
机械工程     
基于子空间频域加权与参数优化的水下电液作动器模态识别
苏伟鸿1(),陈嘉骏1,刘子皓1,帅永齐1,刘佳佳1,聂勇2,梅德庆1,陈正1,*()
1. 浙江大学 海洋精准感知技术全国重点实验室,浙江 杭州 310058
2. 浙江大学 流体动力基础件与机电系统全国重点实验室,浙江 杭州 310058
Modal identification for underwater electro-hydraulic actuators based on subspace frequency-domain weighting and parameter optimization
Weihong SU1(),Jiajun CHEN1,Zihao LIU1,Yongqi SHUAI1,Jiajia LIU1,Yong NIE2,Deqing MEI1,Zheng CHEN1,*()
1. State Key Laboratory of Ocean Sensing, Zhejiang University, Hangzhou 310058, China
2. State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310058, China
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摘要:

水下电液作动器(EHA)的结构高度集成且模态分布密集,传统模态识别方法难以准确提取主导模态. 为此,提出基于子空间频域加权与参数优化的模态识别方法. 构建基于频率响应函数(FRF)的频域子空间模型,结合H1型估计器与频域加权策略筛选FRF数据以削弱测点差异. 采用非线性优化方法修正模型参数,提高模态辨识稳定性. 以某型水下EHA为对象开展实验模态分析,辨识模型与实测数据平均拟合精度为89.30%. 充油与无油状态下的模态对比表明,内部充油会导致水下EHA低阶固有频率向低频偏移,平均阻尼比提高28.24%. 陆上与水下振动测试表明,振动频谱峰值与结构固有频率吻合良好,其中第3~6阶模态对振动响应贡献较为显著,且水下环境对结构振动具有一定抑制作用. 所提方法能够有效提取复杂结构的主导模态,为水下EHA动力学分析与减振优化提供参考.

关键词: 水下电液作动器;  子空间辨识;  频域加权;  参数优化;  频率响应函数(FRF);  主导模态    
Abstract:

Due to the highly integrated configuration of underwater electro-hydraulic actuators (EHAs), their modal frequencies are densely distributed, making the dominant modes difficult to identify accurately using traditional approaches. To address this issue, a modal identification method integrating weighted frequency-domain subspace identification with parameter optimization was proposed. First, a frequency-domain subspace model was developed based on the frequency response functions (FRFs). To alleviate inconsistencies among different measurement locations, the FRF data were preprocessed using the H1 estimator combined with a frequency-domain weighting strategy. Subsequently, nonlinear parameter optimization was introduced to further improve identification stability. Experimental modal analyses were conducted on an underwater EHA prototype. The optimized model achieved an average fitting accuracy of 89.30% relative to the measured data. Comparisons of the identified modes under oil-filled and oil-free conditions showed that internal oil filling shifted the low-order natural frequencies of the underwater EHA to lower values, while the average damping ratio increased by 28.24%. Both land-based and underwater vibration experiments revealed that the peak frequencies in the vibration spectra generally corresponded to the identified natural frequencies. Among the extracted modes, the third- to sixth-order modes made the most significant contribution to the vibration response. In addition, the underwater environment exhibited a vibration suppression effect. Overall, the proposed approach effectively extracts dominant modes from complex underwater EHA structures and provides useful support for subsequent dynamic analysis and vibration suppression design.

Key words: underwater electro-hydraulic actuator    subspace identification    frequency-domain weighting    parameter optimization    frequency response function (FRF)    dominant mode
收稿日期: 2026-05-29 出版日期: 2026-10-16
CLC:  TB 123  
基金资助: 国家重点研发计划资助项目(2023YFC2809900).
通讯作者: 陈正     E-mail: 12434081@zju.edu.cn;zheng_chen@zju.edu.cn
作者简介: 苏伟鸿(1996—),男,博士生,从事海洋装备振动噪声控制研究. orcid.org/0009-0002-7976-9359. E-mail:12434081@zju.edu.cn
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引用本文:

苏伟鸿,陈嘉骏,刘子皓,帅永齐,刘佳佳,聂勇,梅德庆,陈正. 基于子空间频域加权与参数优化的水下电液作动器模态识别[J]. 浙江大学学报(工学版), 2026, 60(11): 2319-2328.

Weihong SU,Jiajun CHEN,Zihao LIU,Yongqi SHUAI,Jiajia LIU,Yong NIE,Deqing MEI,Zheng CHEN. Modal identification for underwater electro-hydraulic actuators based on subspace frequency-domain weighting and parameter optimization. Journal of ZheJiang University (Engineering Science), 2026, 60(11): 2319-2328.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.11.001    或    https://www.zjujournals.com/eng/CN/Y2026/V60/I11/2319

图 1  水下电液作动器系统结构示意图
图 2  多输出频率响应函数仿真模型
图 3  不同模态参数识别方法的识别结果对比
图 4  Levenberg-Marquardt参数优化过程的频率与阻尼比误差收敛曲线
图 5  水下电液作动器激励点布置示意图
图 6  水下电液作动器实验模态测试平台
设备参数数值
冲击力锤锤头材质不锈钢
量程/N5 000
振动加速度
传感器
量程/(m·s?2)±500
频率响应/Hz0.5~7 000.0
分辨率/(m·s?2)0.005
安装谐振频率/Hz>25 000
表 1  水下电液作动器实验模态测试设备参数
图 7  水下电液作动器整机振动测试平台
图 8  激励点1~4号的频率响应函数与相干系数
激励点编号R/%激励点编号R/%
183.531394.35
287.271491.85
386.221593.98
488.041694.65
588.221791.13
679.011886.28
783.251987.78
888.312089.69
988.722192.64
1091.432292.41
1191.232394.77
1285.442492.97
表 2  模态模型与实测频率响应函数数据的拟合精度
图 9  水下电液作动器模态稳态图
nf/Hzζ
1181.730.045
2247.860.016
3675.980.109
41 031.180.117
51 347.080.035
61 746.760.043
72 311.000.053
82 492.690.038
92 645.900.021
102 887.980.021
113 135.460.034
123 491.170.021
133 778.520.023
143 952.410.036
154 323.860.043
164 606.810.031
174 832.920.028
表 3  充油状态水下电液作动器固有频率与阻尼比
nf/Hzζ
1314.160.032
21 027.580.067
31 246.540.171
41 754.140.030
52 042.090.084
62 270.230.024
72 533.340.010
82 848.990.018
92 975.460.016
103 241.020.024
113 395.830.019
123 592.870.004
133 674.010.043
143 880.560.020
154 105.900.019
164 202.280.016
174 427.390.026
184 566.580.012
194 715.250.008
204 967.350.012
表 4  无油状态水下电液作动器固有频率与阻尼比
图 10  振动测试频谱图
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