含多通道不同流向旋转输流管动力学特性分析

张博; 王毅琛; 蔡承宇; 丁虎; 陈立群

doi:10.21656/1000-0887.440359

含多通道不同流向旋转输流管动力学特性分析

doi: 10.21656/1000-0887.440359

张博^1,,
王毅琛¹,
蔡承宇¹,
丁虎²,
陈立群^2, ,

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

我刊编委陈立群来稿

基金项目:

国家自然科学基金 11702033

国家自然科学基金 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

详细信息

作者简介:
张博(1989—)，男，副教授，博士，硕士生导师(E-mail: zhang_bo@chd.edu.cn)

通讯作者:
陈立群(1963—)，男，教授，博士，博士生导师(通讯作者. E-mail: lqchen@shu.edu.cn)

中图分类号: O32
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- 文章访问数: 71
- HTML全文浏览量: 19
- PDF下载量: 18
- 被引次数: 0
出版历程
- 收稿日期: 2023-12-19
- 修回日期: 2024-05-11
- 刊出日期: 2025-04-01

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

1.
School of Sciences, Chang'an University, Xi'an 710064, P.R.China
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China

Contributed by CHEN Liqun, M.AMM Editorial Board

摘要

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.
- 旋转输流管 /
- 假设模态法 /
- 失稳临界流速 /
- 模态转迁 /
- 稳定性
Abstract: 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.
- rotating flow tube /
- assumed mode method /
- critical velocity of instability /
- mode transition /
- stability
edited-by

edited-by
注释:

1) 我刊编委陈立群来稿

HTML全文

图 1 含三条通道旋转输流管模型

Figure 1. The model for the rotating pipe conveying fluid with 3 channels

下载: 全尺寸图片幻灯片

图 2 单通道模型下流速对前三阶固有频率的影响(Ω=0)

Figure 2. Effects of the flow velocity on the 1st 3 natural frequencies in a single channel model (Ω=0)

下载: 全尺寸图片幻灯片

图 3 单通道模型下转速对特征轨迹的影响

Figure 3. Influences of the rotational speed on characteristic trajectories with the single-channel model

下载: 全尺寸图片幻灯片

图 4 不同单位长度流体质量下，屈曲临界流速随转速的变化规律

Figure 4. Influences of the rotational speed on the critical buckling velocity of the single channel pipe

下载: 全尺寸图片幻灯片

图 5 不同单位长度流体质量下，颤振临界流速随转速的变化规律

Figure 5. Effects of the rotational speed on the critical flutter velocity of the single channel pipe

下载: 全尺寸图片幻灯片

图 6 流速对前三阶固有频率的影响(Ω=4)

Figure 6. The influences of the flow velocity on the 1st 3 natural frequencies (Ω=4)

下载: 全尺寸图片幻灯片

图 7 不同流速下，系统第二、三阶振型

Figure 7. The 2nd and 3rd order modal shapes of the system at different flow rates

下载: 全尺寸图片幻灯片

图 8 三通道模型下中间管道流体质量对前三阶特征轨迹的影响

Figure 8. Influences of the fluid mass in the intermediate pipeline on the 1st 3 order characteristic trajectories

下载: 全尺寸图片幻灯片

图 9 三通道模型下转速对前三阶特征轨迹的影响

Figure 9. Influences of rotational speed on the 1st 3 order characteristic trajectories in three-channel model

下载: 全尺寸图片幻灯片

表 1 系统前三阶固有频率的本文计算值与有限元软件对比(ρ_f=0)

Table 1. The calculated values of the 1st 3 natural frequencies of the system compared with the finite element software (ρ_f=0)

parameter	Ω=0			Ω=3
parameter	1st mode	2nd mode	3rd mode	1st mode	2nd mode	3rd mode
ω(present paper)	3.71	23.23	65.05	4.73	25.05	67.04
ω(COMSOL)	3.70	22.78	62.14	4.73	24.64	64.22
error /%	0.27	1.94	4.47	0	1.64	4.21

parameter	Ω=5			Ω=8
parameter	1st mode	2nd mode	3rd mode	1st mode	2nd mode	3rd mode
ω(present paper)	6.08	27.98	70.41	8.38	34.03	77.93
ω(COMSOL)	6.10	27.63	67.75	8.53	33.84	75.64
error /%	-0.33	1.25	3.78	-1.79	0.56	2.94

下载: 导出CSV

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