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采用基于计算流体力学(CFD)方法的降阶气动力模型并耦合结构运动方程,实现了存在外激励载荷时失谐叶栅受迫振动响应的快速分析。针对典型的跨声速叶栅,通过求解其位移响应幅值较系统地研究了失谐方式、失谐强度和叶片质量比对失谐叶栅受迫振动响应幅值的影响。研究表明文中刚度失谐形式可以改善叶栅振动的稳定性,同时导致系统受迫振动响应局部化程度的增加,并且受迫响应的最大振幅放大因子随失谐强度增加或者质量比降低存在先增大后减小的一个峰值,不同失谐形式则对这个峰值的大小有着明显的影响。由于该方法可高效地分析失谐叶栅受迫振动各参数对模态局部化的影响,在工程上有一定的应用价值。
A reduced aerodynamic model based on Computational Fluid Dynamics (CFD) method and coupled structural equation of motion were used to realize the fast analysis of the forced vibration response of the detuned cascade in the presence of external excitation loads. For a typical transonic cascade, the effect of detuning mode, detuning strength and blade mass ratio on the amplitude of forced vibration response of a detuned cascade is investigated systematically by solving the displacement response amplitude. The results show that the form of stiffness mismatch in the paper can improve the stability of the cascade vibration and lead to the increase of localization of the forced vibration response of the system, and the maximum amplitude amplification factor of the forced response increases first with the increase of the detuning strength or the mass ratio After a large decrease in the peak, the different forms of detuning on the size of this peak has a significant impact. Since this method can effectively analyze the influence of the parameters of the forced vibration of the detuned cascade on the modal localization, it has a certain application value in engineering.