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| 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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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.
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Received: 29 May 2026
Published: 16 October 2026
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| Fund: 国家重点研发计划资助项目(2023YFC2809900). |
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Corresponding Authors:
Zheng CHEN
E-mail: 12434081@zju.edu.cn;zheng_chen@zju.edu.cn
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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
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
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