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运动相位对薄平板断面气动自激力影响的数值模拟

Numerical simulation of the effects of motion phase angle on the aerodynamic self-excited forces of a thin plate section

  • 摘要: 为研究运动相位对气动自激力的影响,以计算流体动力学模拟为手段,通过改变振幅和运动相位差研究了薄平板断面气动自激力的非线性特性。结果表明:小振幅下,气动自激力与运动相位无关,符合流线型断面的经典气动力理论;随着运动振幅的增加,自激力的非线性特性体现在两个方面。其一是出现新的高阶分量,但振幅不变的情况下相位的变化不会产生新的自激力高阶分量;其二是相位变化会改变各阶自激力幅值,对各阶自激力幅值的占比有较大影响。小振幅情况下,运动相位对颤振导数几乎没有影响;随着振幅增大,颤振导数 A_1^*\mathrm、A_2^*\mathrm、A_4^*、H_4^* 参数对相位变化较为敏感,而 A_3^*\mathrm、H_1^*\mathrm、H_2^*\mathrm、H_3^* _^ 则对相位变化不敏感。这一特性表明,对于进入大振幅状态的流线型断面,由于气动自激力对自由度耦合相位的依赖性,传统的颤振导数气动力描述方式失效。

     

    Abstract: In order to investigate the effects of motion phase angle on the aerodynamic self-excited forces, in the report, the computational fluid dynamics simulation was performed, the motion amplitudes and phase angles were changed, the nonlinear aerodynamic self-excited force properties of a thin plate section were investigated. The results indicated that in the cases of small motion amplitudes, the self-excited aerodynamic loads were irrelevant to motion phase angles, which is in agreement with the classic aerodynamic theory of streamlined sections. With the increase of the amplitude, the nonlinear properties of the self-excited forces displayed in two aspects. First, the new high-order load components arose, however, when the motion amplitude remained stable, the motion phase angle changes did not bring the new higher order component of self-excitation force; the change of the phase angle resulted in the change of the self-excited force components, and which affected the proportion of each order component of self-excitation force significantly. In the cases of small motion amplitudes, the effects of motion phase angle on the flutter derivatives were negligible. With the increase of the amplitude, the flutter derivatives A_1^* , A_2^* , A_4^* , and H_4^* become sensitive to phase angles, while A_3^* , H_1^* , H_2^* , and H_3^* remain insensitive. These properties suggested that because of the dependence of the self-excited aerodynamic loads on the motion phase angle, for the streamlined section experiencing large motion states, the traditional flutter derivative aerodynamic description become invalid.

     

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