Modeling and experimental study of hydraulic damping isolator for satellite micro-vibration isolating
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摘要:
卫星微振动隔振器建模是进一步整星振动仿真、优化和控制的基础。针对五参数分数阶导数模型无法描述液体阻尼式卫星隔振器幅变特性的缺点,根据试验数据,分别对各位移振幅激励下的隔振器的动特性曲线进行参数识别,根据参数识别结果,对五参数分数阶导数模型进行幅值相关性修正,引入幅变因子。由仿真结果与试验结果的对比可知,引入了幅变因子的分数阶导数模型可以很好地预测隔振器的幅变特性。在提出的改进型分数阶导数模型的基础上,进行了模型参数影响分析。所提出的建模方法可为微振动隔振器的设计和分析提供参考。
Abstract:The modeling of satellite micro-vibration isolators is the basis for further simulation, optimization and control of system vibration. Because the model of five-parameter fractional derivative cannot describe amplitude variable performance of the damping satellite vibration isolator, according to the experimental data, parameter identification of dynamic characteristic curves of isolator under different displacement amplitude excitation was conducted. According to the parameter identification result, the amplitude correlation correction were conducted to five-parameter fractional derivative model, and the amplitude variable factor was introduced. From the comparison between the simulation results and the experimental results, it can be seen that the modified fractional derivative model with amplitude variable factor can well predict the amplitude variable characteristics of the vibration isolator with hydraulic damping. Based on the proposed fractional derivative model, the influence of main model parameters was analyzed. The proposed modeling method can provide reference for the design and analysis of micro-vibration isolators.
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表 1 不同幅值激励下的动特性模型参数识别结果
Table 1. Model parameter identification results of dynamic characteristic under different amplitude excitation
幅值/mm k1/(N·mm-1) α β τ/s 0.1 120.127 0.918 0.900 0.026 1 0.2 116.651 0.927 0.902 0.034 6 0.4 103.674 1.092 1.049 0.044 4 0.6 97.369 1.094 1.046 0.057 3 0.8 94.464 1.141 1.091 0.060 6 1.0 93.918 1.132 1.085 0.063 9 表 2 参数识别结果的二次多项式拟合
Table 2. Second-order polynomial fitting of identified parameters
参数 二次项系数 一次项系数 常数 相关系数 k1 42.341 -76.807 128.456 0.996 α -0.426 0.721 0.835 0.968 β -0.348 0.603 0.829 0.962 τ -0.041 0.087 0.018 0.997 -
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