单谐波风速下薄平板自激力模型研究

Self-excited force model of a thin flat plate under the single harmonic wind speed

  • 摘要: 为分析单谐波风速对典型断面自激力的影响机理,以薄平板为研究对象,基于强迫振动法计算了单谐波风速下薄平板的自激力,并结合幅度调制原理建立了单谐波风速下薄平板的自激力修正模型。在此基础上,通过识别不同单谐波风速下薄平板的颤振导数,采用强迫振动法和自由振动法对自激力修正模型及其颤振导数取值策略的适用性进行了检验。研究结果表明,在单谐波风速下,薄平板的自激力幅值呈现时变性,提出的自激力修正模型成功解释了自激力频谱中出现的交叉叠加频率与交叉相减频率现象。基于自激力修正模型并结合相应的颤振导数所得出的自激力计算值与其模拟值在时频上均非常吻合。气动阻尼项 \textA_\text2^\mathrm* 绝对值和 \textH_\text2^\mathrm* 均随着单谐波脉动风速幅值的增大而增大,气动刚度项 \textH_\text4^\mathrm* 随着单谐波脉动风速幅值的增大而减小。在薄平板自由振动中,基于自激力修正模型所计算的自激力仍然具有较高的精度,进一步验证了所提自激力修正模型及其颤振导数取值策略的准确性与可靠性。

     

    Abstract: To analyze the impact mechanism of single harmonic wind speed on self-excited forces of a typical cross-section, a thin flat plate was taken as the research object. The self-excited forces of the thin flat plate under the single harmonic wind speed were calculated using the forced vibration method. Additionally, a self-excited force correction model for the thin flat plate under the single harmonic wind speed was established based on the principle of amplitude modulation. On this basis, by identifying the flutter derivatives of the thin flat plate under different single harmonic wind speeds, the applicability of the self-excited force correction model and the strategy for determining the flutter derivative values was tested using both the forced vibration method and free vibration method. The research results show that under the single harmonic wind speed, the amplitudes of the self-excited forces of the thin plate exhibit time-varying characteristics. The phenomenon of cross-superposition and cross-difference frequencies observed in the self-excited force spectrum is successfully explained by the proposed self-excited force correction model. The calculated self-excited forces based on the self-excited force correction model and its flutter derivative values are in good agreement with the simulated values both in terms of time and frequency. The aerodynamic damping terms, the absolute values of \textA_\text2^\mathrm* and \textH_\text2^\mathrm* , both increase with the amplitude of the single harmonic fluctuating wind speed increases, while the aerodynamic stiffness term, \textH_\text4^\mathrm* , decreases as the amplitude of the single harmonic fluctuating wind speed increases. In the free vibration of the thin flat plate, the self-excited force calculated using the correction model still shows high accuracy, further confirming the accuracy and reliability of the proposed self-excited force correction model and the strategy for determining the flutter derivatives.

     

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