短索基于修正有效振动长度的实时索力识别
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1.广西科技大学;2.柳州欧维姆机械股份有限公司;3.同济大学

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U448.27

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国家自然科学基金(12202110);广西自然科学基金项目(2025GXNSFAA069539);广西重点研发计划(2021AB22064)。


Real-time cable tension identification for short cables based on corrected effective vibration length
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    摘要:

    基于有效振动长度(Effective Vibration Length, EVL)的频率法能有效规避短索复杂的边界效应,精确识别短索索力。现有基于EVL的实时索力识别方法,假设EVL在索力变化时保持不变,通过识别的实时频率可得到实时索力,但EVL不变的假设缺乏充分的讨论和分析。为此,本文构建了一个具有复杂边界条件的短索有限元数值模型,探讨不同索力状态下的EVL变化规律,发现索力的大幅变化可能会导致EVL显著波动,从而影响实时识别索力的精度。为提高短索实时索力识别精度,本文结合若干工况的索力- EVL值,通过样条函数插值并对EVL进行修正。在索力变化幅度为平均索力的±60%时,通过理论实时频率识别实时索力,未修正EVL时的识别索力相对误差范围为-0.98%~-9.57%,修正EVL后的识别绝对误差范围为-2.34%~-5.08%,理论识别精度和稳定性得到提高。为提取实时频率,本文对比了四种时频分析方法,发现同步压缩变换(SST)识别频率的分辨率最佳,精度最好;短时傅里叶变换、连续小波变换和希尔伯特黄变换等三种方法的时频分辨率低,实时频率识别精度欠佳。在SST获取实时频率的基础上,经过对有效振动长度(EVL)的修正,所得实时索力的绝对误差相较于未修正前降低了50%,验证了该方法的有效性和准确性。

    Abstract:

    The frequency-based method relying on the Effective Vibration Length (EVL) can effectively circumvent the complex boundary effects of short cables and accurately identify their tension forces. Existing real-time cable tension identification methods based on EVL assume that EVL remains constant as cable tension varies, and thus the real-time tension can be determined by identified frequencies. However, the assumption of constant EVL lacks sufficient discussion and analysis. To address this, this paper constructs a finite element numerical model of a short cable with complex boundary conditions to explore the variation patterns of EVL under different tension states. It is found that significant changes in cable tension may lead to notable fluctuations in EVL, thereby affecting the accuracy of real-time tension identification. To improve the accuracy of real-time tension identification for short cables, this paper combines tension-EVL values from several working conditions and corrects EVL through spline function interpolation. When the tension varies by ±60% of the average tension (1.356 kN to 4.096 kN), theoretical real-time frequencies are used to identify real-time tensions. The absolute error range of identified tensions without EVL correction is -0.025×103 kN to -0.245×103 kN, while the absolute error range after EVL correction is -0.06×103 kN to -0.13×103 kN, demonstrating improved theoretical identification accuracy and stability. To extract real-time frequencies, this paper compares four time-frequency analysis methods and finds that Synchrosqueezing Transform (SST) offers the best frequency resolution and accuracy. Short-Time Fourier Transform, Continuous Wavelet Transform, and Hilbert-Huang Transform exhibit low time-frequency resolution and poor real-time frequency identification accuracy. Based on SST-acquired real-time frequencies and with EVL correction, the absolute error of the obtained real-time tensions is reduced by 50% compared to that without correction, validating the effectiveness and accuracy of the proposed method.

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  • 收稿日期:2025-01-21
  • 最后修改日期:2025-03-29
  • 录用日期:2025-04-01
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