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基于內(nèi)積運算與迭代算法的密集模態(tài)阻尼識別
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國家自然科學基金資助項目(50875114);江蘇省動力機械清潔能源與應(yīng)用重點實驗室開放基金資助項目(QK09008)


Damping Identification for Closely Spaced Modes Based on Inner Product Calculation and Iterative Algorithm
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    摘要:

    密集模態(tài)存在模態(tài)干涉,導致阻尼識別困難,,提出內(nèi)積運算與迭代算法相結(jié)合診斷阻尼比,。首先,,運用頻譜細化的傅里葉變換(FFT-FT),,得頻譜峰值最大對應(yīng)的共振頻率,;然后,,構(gòu)造指數(shù)函數(shù),,與響應(yīng)信號作內(nèi)積運算,根據(jù)柯西—施瓦茨不等式定理,,當內(nèi)積模取得極大值時,,可優(yōu)化搜索到衰減系數(shù),得出幅值及相位,。由此獲得某一模態(tài)信號的估計,從總響應(yīng)信號中減去估計信號,。重復上述診斷步驟,,形成迭代,消除模態(tài)干涉,。通過算例和試驗驗證了該方法的有效性,,識別結(jié)果準確。

    Abstract:

    Damping estimation is difficult as a result of modal interference existing in closely spaced modes, a combinational method of inner product calculation and iterative algorithm was presented. Firstly, resonant frequency of the topmost spectral peak was counted by the application of FFT-FT. Secondly, inner product was conducted between response signal and the constructed exponential function. According to the theorem of Cauchy-Schwarz inequality, the attenuation coefficient was achieved by calculating the maximum of the inner product module, meanwhile, the amplitude and phase of the corresponding modal signal were obtained. One modal signal could be estimated from the above calculations. Thirdly, the estimated signal was subtracted from the overall response signal, and then estimated the next modal signal. In this way, an iteration process was formed by repeating the above diagnosing procedures, which could solve the modal interference. Both simulation calculation and experiment were conducted to validate the method.

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趙曉丹,張中業(yè),駱英.基于內(nèi)積運算與迭代算法的密集模態(tài)阻尼識別[J].農(nóng)業(yè)機械學報,2011,42(4):206-210. Zhao Xiaodan, Zhang Zhongye, Luo Ying. Damping Identification for Closely Spaced Modes Based on Inner Product Calculation and Iterative Algorithm[J]. Transactions of the Chinese Society for Agricultural Machinery,2011,42(4):206-210.

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