考虑盘片耦合的缘板阻尼器减振性能分析方法

叶盘结构趋于轻薄，盘片耦合振动不能忽略。本文旨在揭示缘板阻尼器对叶盘不同节径模态减振性能的影响规律。建立了考虑缘板转动的叶盘-缘板阻尼器集中参数模型，采用结合解析雅可比矩阵的多阶谐波平衡法求解稳态响应，利用非线性周期减缩技术，在不损失精度的情况下使计算效率提高至少3倍以上。研究结果表明，针对叶片主导的一阶弯曲模态，缘板阻尼器总体上对节径数越高的模态阻尼效果越好，但在盘片耦合区阻尼效果显著下降，约为25%至50%；此外，忽略缘板的转动效应可能导致对阻尼器减振效果高估约70%至100%。

Vibration Reduction Performance of Underplatform Dampers Considering Blade-Disk Coupling

The bladed disk tends to be lighter and thinner, and the blade-disk coupling vibration can not be ignored. The purpose of this paper is to reveal the influence of different nodal diameter modes on damping effect generated by underplatform dampers (UPDs). A lumped parameter model of bladed disk-UPDs system is established. The steady state response is calculated by the multi-harmonic balance method with analytical Jacobian matrix. The calculation efficiency is increased by at least 3 times without loss of accuracy by using nonlinear cyclic reduction technology. Results show that damping effect with higher nodal diameter index for the first flexural mode dominated by blades in general, however the damping effect is significantly decreased by 25% to 50% on the blade-disk coupling mode. In addition, ignoring the rotation effect of the underplatform may lead to overestimation of the damping effect by about 70% to 100%.