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中国物理学会期刊

稳态损耗因子的衰减法识别研究

CSTR: 32037.14.aps.64.184301

Estimation of steady loss factor with decay rate method

CSTR: 32037.14.aps.64.184301
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  • 根据稳态损耗因子的定义, 推导了含多阶模态的频带稳态损耗因子公式, 得到结论: 稳态损耗因子不一定介于各阶模态损耗因子之间, 而是与各阶模态对振动响应的贡献程度有关. 提出了过程损耗因子的概念, 并给出了利用频带内各模态固有频率、损耗因子和振幅计算过程损耗因子的方法. 当时间趋于无穷时, 过程损耗因子趋于只由最小模态损耗因子贡献的稳态损耗因子. 传统衰减法测试稳态损耗因子在频带内仅有单个模态或模态密集的情况下精度较高, 但对于含有多阶模态且模态不密集的中频带, 采用传统衰减法准确获取稳态损耗因子存在困难. 根据过程损耗因子的特点, 提出了利用时域衰减曲线逐步分离频带内不同衰减特性分量及其响应幅度从而获取稳态损耗因子的方法. 仿真和实验均表明: 提出的利用时域衰减数据获取稳态损耗因子的方法具有很高精度, 可以弥补传统衰减法在中频段损耗因子实验确定中的不足.

     

    Steady loss factor is derived according to its definition, and a conclusion is obtained that steady loss factor is not always among modal loss factors but related to contributions of each modal response to vibration response. To obtain the conclusions about the range of steady loss factor, four cases are discussed according to positions of the two natural frequencies related to the central frequency. 1) Both natural frequencies are lower than the central frequency. 2) Both natural frequencies are higher than the central frequency. 3) One natural frequency, whose modal loss factor is smaller, is higher than the central frequency and the other natural frequency is lower than the central frequency. 4) One natural frequency, whose modal loss factor is larger, is higher than the central frequency and the other natural frequency is lower than the central frequency. Steady loss factor ranges between modal loss factors only if the frequency, whose value of multiplying modal loss factor is largest, is lower than central frequency of frequency band and at the same time, the frequency, whose value of multiplying modal loss factor is the smallest, is higher than the central frequency. Process loss factor which is a time-dependent function is proposed for the description of loss factor of decay process. Meanwhile, the way to calculate process loss factor with modal frequency, loss factor and amplitude is presented. Process loss factor tends to steady loss factor contributed by the mode with smallest loss factor over time. The accuracy is good enough for traditional decay rate method to estimate steady loss factor when there is only one mode or lots of modes in the frequency band. It is difficult for traditional decay rate method to be used to evaluate steady loss factor in the mid-frequency band where frequency density is not enough. A new method is proposed to estimate steady loss factor through separating the smallest modal loss factor components in the frequency band with time decay curve step by step according to the different decay characteristics. Simulation and experimental results indicate that the proposed method can cover the shortage of traditional decay rate method of estimating the steady loss factor in mid-frequency band.

     

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