考虑弹性支承的旋转凸肩叶片动力学特性分析

利用解析方法对考虑弹性支承的凸肩叶片进行动力学建模，在解析模型中考虑叶片的旋转效应、安装角、扭转角以及凸肩位置处截面变化的影响.利用ANSYS软件建立了相对应的有限元模型，验证了所建立的解析模型的有效性.通过所建立的解析模型和有限元模型，分析了叶根处支承刚度和凸肩位置对叶片动力学特性的影响.研究结果表明:随着叶根处支承刚度的增加，叶片的固有频率升高，但支承刚度增加到一定程度后，支承刚度的增加不再引起固有频率的升高;随着凸肩位置至叶尖距离的增加，叶片的第1阶和第3阶固有频率有升高的趋势，而第2阶固有频率则会随之降低.此外，采用解析方法能够明显提高计算效率.

Analysis of Dynamic Characteristics of the Rotating Shrouded Blade Considering Elastic Support

An analytical model of the shrouded blade considering elastic support is established， in which the influence of the blade’s rotational effect， setting angle， twist angle and variable cross-section are taken into consideration. ANSYS software is used to establish a corresponding finite element model to verify the effectiveness of the established analytical model. The influence of the support stiffness and shoulder position on the dynamic characteristics of the blade is analyzed through the established analytical model and finite element model. The results indicate that as the support stiffness increases， the natural frequency of the shrouded blade increases. However， after the support stiffness increases to a certain extent， the increase of the support stiffness will no longer cause the increase of the natural frequency. In addition， as the distance from the shoulder position to the blade tip increases， the first-order and third-order natural frequency of the shrouded blade tends to increase. In contrast， the second-order natural frequency will decrease. In addition， analytical methods can significantly improve the computational efficiency.