考虑稳态温度场的涡轮叶盘振动特性概率分析

推进技术 ›› 2017, Vol. 38 ›› Issue (12): 2805-2814.

考虑稳态温度场的涡轮叶盘振动特性概率分析

李蔓林¹,白广忱¹,王鹞伟¹,白斌²

北京航空航天大学能源与动力工程学院，北京 100191,北京航空航天大学能源与动力工程学院，北京 100191,北京航空航天大学能源与动力工程学院，北京 100191,北京工业大学非线性振动和机械结构强度北京市重点实验室，北京 100024

发布日期:2021-08-15
作者简介:李蔓林，女，硕士生，研究领域为结构振动研究及可靠性工程设计。
基金资助:
国家自然科学基金(51575024)。

Probabilistic Analysis of Vibration Characteristics of Turbine Bladed Disk Considering Steady-State Temperature Field

School of Energy and Power Engineering，Beihang University，Beijing 100191，China,School of Energy and Power Engineering，Beihang University，Beijing 100191，China,School of Energy and Power Engineering，Beihang University，Beijing 100191，China and The Key Laboratory of Nonlinear Vibration and Mechanical Structure Strength in Beijing，Beijing University of Technology，Beijing 100024，China

Published:2021-08-15

摘要/Abstract

摘要： 为了研究稳态温度场及离心载荷的随机变化对涡轮叶盘振动特性的影响，利用有限元方法对稳态温度场作用下的涡轮叶盘结构振动特性进行确定性分析。在此基础上，采用含交叉项的二次响应面方法对叶盘结构振动特性进行概率分析，得到稳态温度场下叶盘结构振动特性的概率分布特征，并给出温度场及离心载荷等随机变量对叶盘结构随机性振动的模态频率的影响规律。最后，根据共振考核状态及坎贝尔图，结合转速与频率的相关性提出叶盘随机性振动避共振方法，并在几个典型工况下对叶盘结构随机性振动进行了避共振分析。结果表明，随机参数3%的变化能够导致叶盘共振转速区拓宽50%以上，并造成多个共振转速区重叠现象。

关键词: 涡轮叶盘；稳态温度场；二次响应面法；概率分析；坎贝尔图；避共振分析

Abstract: In order to research the effects of random variation of steady-state temperature field and centrifugal load on vibration characteristics of turbine bladed disk， the certainty analysis of the vibration characteristics of a turbine bladed disk under the steady-state temperature field was conducted by FEM (Finite Element Method). Based on this， the probabilistic analysis of the vibration characteristics of the bladed disk was performed by adopting quadratic response surface method with cross terms. The probability distribution of the vibration characteristics of the bladed disk under steady-state temperature field was obtained and the influence of random variables such as temperature field and centrifugal load on the modal frequency of the random vibration of the bladed disk was presented. Finally， according to the reference state of resonance and Campbell chart， considering the correlation of speed and rotor vibration frequency， the theory of avoiding resonance analysis of the random vibration of the bladed disk was proposed， and the analysis was carried out under several typical operating conditions. The results show that random parameters of 3% variance will lead to over 50% extension of the resonance speed region of the bladed disk and the overlapping of multiple resonance speed regions.

Key words: Turbine bladed disk；Steady-state temperature field；Quadratic response surface method；Probabilistic analysis；Campbell chart；Avoiding resonance analysis

李蔓林,白广忱,王鹞伟,白斌. 考虑稳态温度场的涡轮叶盘振动特性概率分析[J]. 推进技术, 2017, 38(12): 2805-2814.

LI Man-lin¹,BAI Guang-chen¹,WANG Yao-wei¹,BAI Bin². Probabilistic Analysis of Vibration Characteristics of Turbine Bladed Disk Considering Steady-State Temperature Field[J]. Journal of Propulsion Technology, 2017, 38(12): 2805-2814.

参考文献

[1] 李其汉, 王延荣, 王建军. 航空发动机叶片高循环疲劳失效研究[J]. 航空发动机, 2003, 29(4): 16-18.
[2] Dan G, Rieger N. Probabilistic High Cycle Fatigue Life Prediction for Gas Turbine Engine Blade[R]. AIAA 99-1597.
[3] Cesare M A, Sues R H, Wu Y T. Probabilistic High Cycle Fatigue (HCF) of Jet Engine Blades[R]. AIAA 2001-1379.
[4] 马艳红, 张大义, 洪杰, 等. 气流激励下叶片的高周疲劳概率寿命预估[J]. 推进技术, 2009, 30(4): 462-467. (MA Yan-hong, ZHANG Da-yi, HONG Jie, et al. Prediction on High Cycle Life of Blades Using Probability Method[J]. Journal of Propulsion Technology, 2009, 30(4): 462-467.)
[5] 白斌, 白广忱, 童晓晨, 等. 整体叶盘结构失谐振动的国内外研究状况[J]. 航空动力学报, 2014, 29(1): 91-103.
[6] 王建军, 李其汉, 朱梓根. 失谐叶片-轮盘结构系统振动局部化问题的研究进展[J]. 力学进展, 2000, 30(4): 517-528.
[7] 王建军, 于长波, 姚建尧, 等. 失谐叶盘振动模态局部化定量描述方法[J]. 推进技术, 2009, 30(4): 457-461. (WANG Jian-jun, YU Chang-bo, YAO Jian-yao, et al. Vibratory Mode Localization Factors of Mistuned Bladed Disk Assemblies[J]. Journal of Propulsion Technology, 2009, 30(4): 457-461.)
[8] 于长波, 王建军, 李其汉. 失谐叶盘结构的概率响应局部化特征[J]. 航空动力学报, 2010, 25(9): 2006-2012.
[9] Herman Shen M H. Reliability Assessment of High Cycle Fatigue Design of Gas Turbine Blades Using the Probabilistic Goodman Diagram[J]. International Journal of Fatigue, 1999, 21(7): 699-708.
[10] 王红建, 贺尔铭, 赵志彬. 叶片随机失谐与叶盘结构共振特性分析[J]. 西北工业大学学报, 2011, 29(2): 189-193.
[11] Ge Yong-qing, An Li-qiang, Wang Zhang-qi. Resnonance Reliability Assessment of Turbine Blade with Parametric Uncertainty[J]. Key Engineering Materials, 2007, 353-358: 2636-2639.
[12] Brown A M, Dehaye M, Delessio S. ?Probabilistic Methods to Determine Resonance Risk and Damping for Rocket Turbine Blades[J]. Journal of Propulsion and Power, 2013, 29(6): 1367-1373.
[13] Zhang Meng, Lu Shan. A New Fuzzy Reliability Model to Avoid Resonance and Its Numerical Solutions[J]. Journal of Physical Sciences, 2013, 17(5): 59-68.
[14] 马利, 张恒喜, 续斌, 等. 航空发动机重要构件使用振动可靠性模糊评估[J]. 机械科学与技术, 2006, 25(11): 1365-1368.
[15] 赵洁. 机械可靠性分析的响应面法研究[D]. 西安:西北工业大学, 2006.
[16] 王桂华, 费成巍, 白广忱. 基于ERSM涡轮盘径向变形的非线性动态概率分析[J]. 推进技术, 2013, 34(4): 529-536. (WANG Gui-hua, FEI Cheng-wei, BAI Guang-chen. Nonlinear Dynamic Probabilitic Analysis of Turbine Disk Radial Deformation Based on ERSM[J].Journal of Propulsion Technology, 2013, 34(4): 529-536.)
[17] 吕震宙, 杨子政, 赵洁. 基于加权线性响应面法的神经网络可靠性分析方法[J]. 航空学报, 2006, 27(6): 1063-1067.
[18] 徐鹤山. 发动机叶片工程应用分析[M]. 北京:航空工业出版社, 2011.
[19] 龚建政, 钟芳明, 贺星, 等. 利用ANSYS和坎贝尔图对燃气轮机压气机转子模态及临界转速的分析计算[J]. 现代制造工程, 2012, (4): 73-77.
[20] 艾书民, 王克明, 缪辉, 等. 稳态温度场作用下涡轮叶片振动特性的研究[J]. 沈阳航空航天大学学报, 2011, 28(4): 17-21.
[21] 费成巍, 付黎, 柏树生, 等. 高压涡轮叶尖径向运行间隙非线性动态分析[J]. 航空发动机, 2013, 39(1): 38-42.(编辑:梅瑛)　　　　　　　　　　　　　*　收稿日期:2016-07-17；修订日期:2016-09-18。基金项目:国家自然科学基金(51575024)。作者简介:李蔓林,女,硕士生,研究领域为结构振动研究及可靠性工程设计。E-mail: limanlin@buaa.edu.cn