用于颤振分析的影响系数法研究（英文）  

Investigation of Influence Coefficient Method for Flutter Analysis

作　　者：刘伟 黄秀全 王丁喜 刘若阳 Wei Liu;Xiu-quan Huang;Ding-xi Wang;Ruo-yang Liu

机构地区：[1]School of Power and Energy, Northwestern Polytechnical University [2]Shaanxi Key Laboratory of Internal Aerodynamics in Aero-engines, Northwestern Polytechnical University [3]Aero Engine Academy of China

出　　处：《风机技术》2019年第1期54-62,I0009,共10页Chinese Journal of Turbomachinery

基　　金：China's 111 project[B17037];China natural science foundation[51790512]

摘　　要：影响系数法长期以来被用于数值和实验方面的颤振分析研究。在实验研究中,实验装置通常采用3-11个叶片的线性或环形叶栅,并在上下两端放置挡板。实验中仅驱动中间叶片振动,在各叶片表面产生非定常压力,测量各叶片表面的非定常压力并采用影响系数法可以得到以行波模式振动时叶片表面的非定常压力。而我们在数值模拟中使用影响系数法时,不需要在上下两端放置挡板,通过采用周期性边界条件就可以保证流场的周期性。有些学者指出,当叶栅中的叶片数至少为9甚至11个时,结果不会随着叶片数的增加而改变。本文采用了谐波平衡法进行非定常流场计算,研究了叶片数目,马赫数以及振动叶片的位置对影响系数法结果的影响。得出结论,对于本文所研究的叶栅,要得到足够精确地结果,在周期性边界条件下需要至少7个叶片,在挡板边界条件下需要至少13个叶片。振动叶片最合适的位置是在叶栅中部。Influence coefficient method has long been used for both numerical and experimental flutter investigation. In an experimental investigation, quite often a linear cascade or an annular cascade sector with 3~11 blades is used with tail boards at the upper and lower ends. The middle blade only is driven to vibrate and the generated unsteady pressure on all the blades are measured to construct the unsteady pressure for a traveling wave vibration mode using the influence coefficient method. When using the influence coefficient method in a numerical analysis, there is no need to use the tail boards, and periodic boundary condition can be applied to ensure the flow periodicity. Some point out that 9 or even 11 blades are necessary to obtain results which are independent of the number of blades being used. This article investigates the effects of blade count, Mach number and position of the vibrating blade on analysis results by using the harmonic balance method for unsteady flow field analysis. It is concluded that 7 blades with a periodic boundary condition and 13 blades with a tail board boundary condition are sufficient to get accurate results for the cascade under investigation. It is also revealed that the vibrating blade is best placed at the middle position.

关 键 词：Influence Coefficient METHOD FLUTTER Linear CASCADE TRAVELLING Wave METHOD 

分 类 号：TH113.1[机械工程—机械设计及理论]