摘要
将传递函数法应用于大展弦比机翼的阵风响应分析。首先,基于二元机翼的运动方程和准定常片条理论建立机翼的阵风响应微分方程,对其进行Laplace变换,并转换为状态空间方程形式。然后,运用传递函数方法,获得机翼响应在频域的解析解,通过Laplace数值逆变换求得机翼在时域内的响应。通过与已有文献结果对比,验证了本文方法的正确性。最后,采用该方法求解了"1-cos"型阵风和连续大气湍流作用下的机翼响应,并对结果进行了分析讨论。
The semi-analytical and semi-numerical transfer function method is applied to study the highaspect-ratio wing gust response. First, the wing gust response equations are established by combining the beam bend vibration model and the steady aerodynamic model, which are transformed by the Laplace transformation into the state-space form. Then, the analytical solution in the frequency domain is obtained by using the transfer function method. The transient response of the wing in the time domain is obtained by the numerical inversion of the Laplace transforms. By comparing with the results in the existing literature, the method is validated. Finally, the response of the wing for the One-Minus-Cosine gust and the continuous atmospheric turbulence is solved and analyzed.
引文
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