含多通道不同流向旋转输流管动力学特性分析  

Analysis on Dynamic Characteristics of Rotating Flow Tubes With Multi-Channel and Different Flow Directions

作　　者：张博 王毅琛 蔡承宇 丁虎[2] 陈立群[2] ZHANG Bo;WANG Yichen;CAI Chengyu;DING Hu;CHEN Liqun(School of Sciences,Chang’an University,Xi’an 710064,P.R.China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China)

机构地区：[1]长安大学理学院,西安710064 [2]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《应用数学和力学》2025年第4期438-450,共13页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11702033,11872159);陕西省自然科学基金(2022JQ-019);上海市教委创新项目(2017-01-07-00-09-E00019);长安大学中央高校基本科研业务费专项资金(300102123201)。

摘　　要：涡轮叶片是燃气轮机输出动力的关键部件,为了叶片在高温环境下可以正常工作,需要在内部设置冷却管通道.叶片在内部流体和自身旋转的共同作用下,有着复杂的动力学行为.将叶片简化为多通道不同流向的旋转输流管的开放模型,使用能量法推导动力学方程,并进行复模态分析.通过算例研究,揭示了流向、流速和转速对系统稳定性和模态转迁的影响.Turbine blades were the key components for gas turbine power output.To work normally in high temperature environment,cooling tube channels need be set inside the blades.The blade has complex dynamic behaviors under the joint action of internal fluid and its own rotation.The blade was simplified into a rotating pipe conveying fluid tube with multi-channel and different flow directions.The kinetic equation was derived with the energy method and the complex modal analysis was carried out.The effects of the flow direction,the velocity and the rotating speed on the stability and modal transition phenomena of the system were revealed with numerical examples.

关 键 词：旋转输流管 假设模态法 失稳临界流速 模态转迁 稳定性 

分 类 号：O32[理学—一般力学与力学基础]