压电网络对叶盘结构气动阻尼的影响

首先通过引入气动影响系数,建立了振动相关气动力与系统振动位移成比例的线性模型。基于此导出了叶盘结构气弹耦合的线性振动方程。接着在叶盘结构中引入压电网络,建立了流 机 电耦合动力学方程；并采用集总参数等效模型研究了压电网络对叶盘结构气动阻尼的影响,对流 机 电耦合系统的特征值问题进行求解,获得了可作为系统气弹稳定性判据的模态气动阻尼比。研究表明,压电网络可以有效改善叶盘结构主要振动形式——节径型振动的气弹稳定性；通过对压电网络中电学参数进行优化设计,可以在较宽范围内提高叶盘结构的颤振边界；压电网络对弯曲振动模态气动阻尼的改善效果优于弯扭耦合振动模态。 

Influence of piezoelectric network on aerodynamic damping of bladed disk structure

Firstly, by introducing the aerodynamic influence coefficient, a linear relation between aerodynamic force and the vibrating displacement was established. Based on this relation, a linear vibration equation of aero elastic coupling of bladed disk structure was deduced. Then, the piezoelectric network was introduced into the bladed disk structure, and the fluid mechanic electro coupling dynamic equation was established. The lumped parameter equivalent model was adopted to study the influence of the piezoelectric network on the aerodynamic damping of the bladed disk, and the eigenvalue problem of the fluid mechanic electro coupling system was solved. The aerodynamic damping ratio of the system was obtained as the criterion of the aero elastic stability of the system. The results show that the piezoelectric network can effectively improve the aero elastic stability of the bladed disk vibrating in nodal diameter modes, which are main vibrating modes of the bladed disk; the electrical parameters of the piezoelectric network can be optimized to extend the flutter boundary in a large frequency domain of the bladed disk; the aerodynamic damping of the bending vibration of the blade is better than that of the coupled bending and torsional vibration.