论文:2018,Vol:36,Issue(2):308-314
引用本文:
何冰冰, 任兴民, 何尚文, 秦卫阳, 马引钢. 考虑分离和重新接触的涡轮自带冠叶片振动特性分析[J]. 西北工业大学学报
He Bingbing, Ren Xingmin, He Shangwen, Qin Weiyang, Ma Yingang. Vibration Characteristics Analysis of Integrally Shrouded Turbine Blade Considering Separation and Reattachment[J]. Northwestern polytechnical university

考虑分离和重新接触的涡轮自带冠叶片振动特性分析
何冰冰1, 任兴民1, 何尚文2, 秦卫阳1, 马引钢1
1. 西北工业大学 力学与土木建筑学院, 陕西 西安 710072;
2. 郑州大学 力学与工程科学学院, 河南 郑州 450001
摘要:
研究了涡轮自带冠叶片在考虑叶冠间不同接触情况下的非线性振动响应。建立了考虑相邻叶冠间的分离和重新接触以及离心刚化效应的涡轮自带冠叶片的弹簧质量模型,并推导了其动力学方程。碰撞力采用更符合实际的线性弹簧和非线性弹簧的组合来进行建模,摩擦力则采用依赖速度的指数型摩擦模型。仿真结果表明,涡轮自带冠叶片可以表现出非常复杂的非线性现象,并且可以出现周期1、周期2、周期3、周期4和混沌运动。间隙不对称会使自带冠叶片的运动更加复杂。
关键词:    自带冠叶片    分离    重新接触    非线性弹簧    分岔   
Vibration Characteristics Analysis of Integrally Shrouded Turbine Blade Considering Separation and Reattachment
He Bingbing1, Ren Xingmin1, He Shangwen2, Qin Weiyang1, Ma Yingang1
1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, China;
2. School of Mechanics & Engineering Science, Zhengzhou University, Zhengzhou 450001, China
Abstract:
The nonlinear forced vibration responses of integrally shrouded turbine blade considering different contact state are investigated in this paper. A lumped mass model of integrally shrouded turbine blade considering separation and reattachment of adjacent shrouds and centrifugal stiffening effects is established and its dynamic equation is deduced. Collision force is approximated by linear and cubic springs together which is more realistic, and friction force is approximated by an exponential-type velocity-dependent model. Numerical results indicate that integrally shrouded turbine blade displays very complex nonlinear phenomena and it can experience periodic 1, periodic 2, periodic 3, periodic 4 and chaotic vibration. Gap asymmetry leads to more complicated motions of the shrouded blade.
Key words:    integrally shrouded blade    separation    reattachment    nonlinear spring    bifurcation   
收稿日期: 2017-05-20     修回日期:
DOI:
基金项目: 国家自然科学基金(51405452)与西北工业大学研究生创意创新种子基金(z2017121)资助
通讯作者: 何尚文(1983-),郑州大学讲师,主要从事涡轮叶片干摩擦阻尼器研究。邮箱:hsw2013@zzu.edu.cn     Email:hsw2013@zzu.edu.cn
作者简介: 何冰冰(1989-),女,西北工业大学博士研究生,主要从事涡轮叶片干摩擦阻尼器研究。
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参考文献:
[1] 南国防, 任兴民, 杨永锋, 等. 考虑非线性恢复力的叶冠系统非线性特性分析[J]. 机械科学与技术, 2010, 29(6):817-821 Nan Guofang, Ren Xingmin, Yang Yongfeng, et al. Nonlinear Characteristic Analysis of the Shrouded Blade of a Turbine Considering Its Nonlinear Resilience[J]. Mechanical Science & Technology for Aerospace Engineering, 2010, 29(6):817-821(in Chinese)
[2] 单颖春, 朱梓根. 复杂接触运动下非线性摩擦力的求解[J]. 润滑与密封, 2006, 24(3):73-77 Shan Yingchun, Zhu Zigen. The Solution of Nonlinear Friction Forces when Friction Interfaces Constrained to Complex Contact Motions[J]. Lubrication Engineering, 2006, 24(3):73-77(in Chinese)
[3] Ding Q, Chen Y. Analyzing Resonant Response of a System with Dry Friction Damper Using an Analytical Method[J]. Journal of Vibration and Control, 2008, 14(8):1111-1123
[4] 武新华, 李卫军. 自带冠叶片冠间接触碰撞减振研究[J]. 汽轮机技术, 2005, 47(1):41-44 Wu Xinhua, Li Weijun. Research on Damping of Contract or Impaction of Blades' Tips[J]. Turbine Technology, 2005, 47(1):41-44(in Chinese)
[5] Liu Y, Shangguan B, Xu Z. A Friction Contact Stiffness Model of Fractal Geometry in Forced Response Analysis of a Shrouded Blade[J]. Nonlinear Dynamics, 2012, 70(3):2247-2257
[6] 漆文凯, 高德平. 带摩擦阻尼装置系统振动响应分析方法研究[J]. 航空动力学报, 2006, 21(1):161-167 Qi Wenkai, Gao Deping. Study of Vibration Response Analysis Method for the Dry Friction Damping Systems[J]. Journal of Aerospace Power, 2006, 21(1):161-167(in Chinese)
[7] Chu S, Cao D, Sun S, et al. Impact Vibration Characteristics of a Shrouded Blade with Asymmetric Gaps under Wake Flow Excitations[J]. Nonlinear Dynamics, 2013, 72(3):539-554
[8] Li Z, Huajiang O, Guan Z. Nonlinear Friction-Induced Vibration of a Slider-Belt System[J]. Journal of Vibrationanlo and Acoustics, 2016, 138(4):041006
[9] Won Hi, Chung J. Stick-Slip Vibration of an Oscillator with Damping. Nonlinear Dynamics, 2016, 86(1):1-11
[10] Ma H, Xie F, Nai H, et al. Vibration Characteristics Analysis of Rotating Shrouded Blades with Impacts[J]. Journal of Sound and Vibration, 2016, 378:92-108