呼吸式裂纹梁的振动疲劳裂纹扩展耦合分析

摘要/Abstract

摘要：

为提高结构振动疲劳分析的精度，提出一种呼吸式裂纹梁的振动疲劳裂纹扩展耦合分析方法。分析过程中，采用双线性弹簧描述呼吸式裂纹，广义的Forman方程模拟疲劳裂纹扩展;运用Galerkin法把裂纹梁简化为单自由度系统，振动分析与疲劳裂纹扩展计算交替进行，并考虑了振动疲劳裂纹扩展耦合行为。结果表明，对于含裂纹结构的振动疲劳裂纹扩展，采用呼吸式裂纹可以更客观地描述振动过程和裂纹扩展现象;激励频率和阻尼效应对疲劳寿命具有重要影响，尤其对共振疲劳裂纹扩展而言，阻尼效应特别明显。

关键词:

振动疲劳, 呼吸式裂纹, 裂纹扩展, 耦合分析

Abstract:

A method for coupling analysis of vibration fatigue crack propagation was proposed to improve the analysis precision of fatigue crack growth for breathing cracked beams. Double linear spring was used to depict breathing crack and the modified Forman equation was employed to simulate crack propagation. And cracked beam was simplied to single degree of freedom system through Galerkin method and the coupling relation between vibration and fatigue crack growth was considered through vibration analysis instead of crack propagation estimation cycle by cycle. Results indicate that breathing crack can depict the vibration course and the phenomenon of fatigue crack growth objectively, excitation frequency and damping has important influence on the fatigue life, especially obvious on resonance fatigue.

Key words:

vibration fatigue, breathing crack, crack propagation, coupling analysis

中图分类号:

V216.3
V224

刘文光, 陈国平.

呼吸式裂纹梁的振动疲劳裂纹扩展耦合分析

[J]. 中国机械工程, 2010, 21(23): 2798-2802.

LIU Wen-Guang, CHEN Guo-Beng.

Coupling Analysis of Vibration Fatigue Crack Growth for Breathing Cracked Beam

[J]. China Mechanical Engineering, 2010, 21(23): 2798-2802.

参考文献

[1]Papadopoulos C A, Dimarogonas A D. Coupled Longi- tudinal and Bending Vibrations of a Cracked Shaft[J].Journal of Vibration, Acoustics, Stress and Reliability in Design, 1988, 110(1):1-8.
[2]Chondros T G, Dimarogonas A D, Yao J. A Con- tinuous Cracked Beam Vibration Theory[J]. Jour- nal of Sound and Vibration, 1998, 215(1):17-34.
[3]Chondros T G, Dimarogonas A D,Yao J. Vibration of a Beam with a Breathing Crack[J]. Journal of Sound and Vibration, 2001, 239(1):57-67.
[4]AbrahamO N L, Brandon J A. The Modeling of the Opening and Closure of a Crack [J]. Journal of Sound and Vibration, 1995, 117(3),370-377.
[5]Cheng S M, Wu X J, Wallace W. Vibration Re- sponse of a Beam with a Breathing Crack[J]. Jour- nal of Sound and Vibration, 1999, 225(1) :201-208.
[6]杜彦卫[1],胡超[2],李凤明[2],黄文虎[2].含横向裂纹转子的动力稳定性研究[J].中国机械工程,2003,14(18):1587-1590.
[7]杨海燕,杨秉玉.疲劳裂纹叶片振动的非线性特性研究[J].西北工业大学学报,1999,17(2):198-204.
[8]Shlh Y S, Chen J J. Analysis of Fatigue Crack Growth on a Cracked Shaft[J]. International Jour- nal of Fatigue, 1997, 19(6) :477-485.
[9]Dentsoras A J, Kouvaritakis E P. Effects of Vibra- tion Frequency on Fatigue Crack Propagation of a Polymer at Resonance [J]. Engineering Fracture Mechanics, 1995, 50(4) :467-473.
[10]Dentsoras A J, Dimarogonas A D. Resonance Con- trolled Fatigue Crack Propagation in a Beam under Longitudinal Vibrations[J]. International Journal of Fracture, 1983, 23 : 15-22.
[11]王明珠[1],姚卫星[1],孙伟[1].结构随机振动疲劳寿命估算的样本法[J].中国机械工程,2008,19(8):972-975.
[12]姚起杭[1],姚军[2].工程结构的振动疲劳问题[J].应用力学学报,2006,23(1):12-15.
[13]Tada H,Paris P C, Irwin G R. The Stress Analy- sis of Cracks Handbook[M]. Hellertown, Penn- sylvania; Del Research Corporation, 1973.
[14]Newman J C. A Crack Opening Stress Equation for Fatigue Crack Growth[J]. International Jour- nal of Fracture, 1984, 24:131-135.

[1]	吴英龙, 宣海军, 单晓明, 付汝龙. 离心轮内部疲劳裂纹扩展及其无损定量表征[J]. 中国机械工程, 2021, 32(06): 658-665.
[2]	陈景强1;马廉洁1,2;孟博1;周云光2. 氟金云母表面形成机理及表面粗糙度理论模型[J]. 中国机械工程, 2020, 31(24): 2918-2923.
[3]	方修洋;黄伟;王俊国. 温度对动车组车轮钢服役次生疲劳裂纹起裂扩展特性影响[J]. 中国机械工程, 2020, 31(03): 261-266.
[4]	高红俐;朱楷勇;龚澳;姜伟. 高频谐振疲劳机载荷测量误差建模分析及试验夹具优化设计[J]. 中国机械工程, 2019, 30(22): 2675-2682.
[5]	郑捷1;刘洋1,2;童明波1. 腐蚀环境对飞机梁结构连接件疲劳寿命和裂纹扩展的影响[J]. 中国机械工程, 2019, 30(17): 2129-2134.
[6]	郭帅;赵相吉;何成刚;刘启跃;郭俊;王文健. 水介质下打磨磨痕对钢轨疲劳损伤的影响[J]. 中国机械工程, 2019, 30(08): 889-895.
[7]	王磊1,2;单勇峰1;任俊刚3;回丽1,2;周松2. 搅拌摩擦修复2A12铝合金的疲劳性能和裂纹扩展行为[J]. 中国机械工程, 2017, 28(13): 1628-1632.
[8]	李文凯, 崔海涛, 温卫东, 苏旭明, C C Engler-Pinto Jr. 环境湿度对铸铝合金超声疲劳裂纹扩展速率的影响研究[J]. 中国机械工程, 2016, 27(17): 2396-2401.
[9]	高红俐, 郑欢斌, 姜, 伟, 齐子诚, . 基于图像处理的疲劳裂纹扩展长度在线测量方法[J]. 中国机械工程, 2016, 27(07): 917-924.
[10]	高红俐, 刘辉, 郑欢斌, 刘欢. 谐振式疲劳裂纹扩展试验振动系统质点质量的软测量方法[J]. 中国机械工程, 2016, 27(05): 627-634.
[11]	许宁, 王峰会, 罗金恒, 陆勇俊. X80管线钢焊接接头TEM观察下的断裂行为对比[J]. 中国机械工程, 2016, 27(03): 403-407.
[12]	刘学平, 庞祖富, 向东. 废旧塑封芯片分层裂纹仿真[J]. 中国机械工程, 2015, 26(2): 143-146.
[13]	赵子铭, 栾伟玲, 尹少峰, 涂善东. 基于发光量子点的金属裂纹实时监测方法[J]. 中国机械工程, 2015, 26(17): 2374-2377.
[14]	吕斌1,2;丁振宇1,2;高增梁1,2. 不同应力比下U75V轨道钢疲劳裂纹扩展行为研究[J]. 中国机械工程, 2014, 25(24): 3373-3377.
[15]	孙林根, 蔡志鹏, 潘际銮, 刘霞, 许晓进, 丁玉明. 核电汽轮机转子焊缝金属原奥氏体尺寸对疲劳裂纹稳定扩展区和近门槛区临界点的影响规律研究[J]. 中国机械工程, 2014, 25(24): 3378-3384.