Transverse Crack Detection for a Rotating Shaft with Variable Cross-section Based on Propagation Characteristics of the Elastic Waves

doi:10.3901/JME.2020.10.042

Abstract

Abstract: The transverse crack has different crack modes due to the external loads of the rotating shaft, the influence of crack mode should be considered when using propagation characteristics of the elastic wave to detect transverse crack. The local flexibility coefficients of the crack are deduced for different crack modes, and then the transfer matrix with different crack modes is established. An experimental rig for studying the transverse crack is built, the crack mode of which is analyzed theoretically, and the influence of crack depths on the propagation characteristics of elastic waves in the rotating shaft is analyzed qualitatively. The experimental results verify the result of the theoretical analysis of the crack mode, and the crack depth mainly affects the band width and center frequency of the stop band of the elastic waves. The conclusions can provide a reference for the selection of the crack mode of crack in the rotating shaft with variable section and also a method for the detection of an transverse crack.

Key words: propagation characteristic, crack modes, elastic waves, rotating shaft, variable cross-section

CLC Number:

TH17
TH113

WEI Yimin, LIU Qi, CHEN Wenhua, YANG Shixi. Transverse Crack Detection for a Rotating Shaft with Variable Cross-section Based on Propagation Characteristics of the Elastic Waves[J]. Journal of Mechanical Engineering, 2020, 56(10): 42-49.

References

[1] 杨世锡,尚小林,柳亦兵,等. 大型旋转机械状态监测与故障诊断研究进展[J]. 振动.测试与诊断,2015,35(1):1-11. YANG Shixi,SHANG Xiaolin,LIU Yibing,et al. A research progress about the online monitoring and fault diagnosis for large rotating machinery[J]. Journal of Vibration,Measurement & Diagnosis,2015,35(1):1-11.
[2] BOVSUNOVSKY A P. Efficiency analysis of vibration-based crack diagnostics in rotating shafts[J]. Engineering Fracture Mechanics,2017,173(1):118-129.
[3] 焦敬品,孟祥吉,吕洪涛,等. 基于赫兹接触的板中微裂纹非线性兰姆波检测方法研究[J]. 机械工程学报,2017,53(12):1-11. JIAO Jingpin,MENG Xiangji,LÜ Hongtao,et al. Nonlinear Lamb wave second harmonic technique for micro-crack detection in plates based on theory of Hertz stress[J]. Journal of Mechanical Engineering,2017,53(12):1-11.
[4] LEE J W,LEE J Y. A transfer matrix method capable of determining the exact solutions of a twisted Bernoulli-Euler beam with multiple edge cracks[J]. Applied Mathematical Modelling,2017,41(2):474-493.
[5] STAWIARSKI A,BARSKI M,PAJĄK P. Fatigue crack detection and identification by the elastic wave propagation method[J]. Mechanical Systems and Signal Processing,2016,89(1):119-130.
[6] WEI Y,ZHAO Z,CHEN W,et al. Influence of axial loads to propagation characteristics of the elastic wave in a non-uniform shaft[J]. Chinese Journal of Mechanical Engineering,2019,32(70):1-13.
[7] TADA H,PARIS P C,IRWIN G R. The stress analysis of cracks handbook[M]. Pennsylvania:Del Research Cor-poration,2000.
[8] SABOORI B,AYATOLLAHI M R,TORABI A R,et al. Mixed mode I/III brittle fracture in round-tip V-notches[J]. Theoretical and Applied Fracture Mechanics,2016,83(1):135-151.
[9] 郭智刚,陶海峰. 模拟裂纹的弯曲弹簧模型比较[J]. 上海应用技术学院学报,2015,15(4):362-366. GUO Zhigang,TAO Haifeng. The comparison of rotational spring model of crack simulation[J]. Journal of Shanghai Institute of Technology,2015,15(4):362-366.
[10] ISIDORO J,MARTINS R F. Calculation of stress intensity factors K_I,K_II and K_III of cracked components submitted to flexural and torsional loads[J]. Procedia Engineering,2016,160(1):131-136.
[11] 孙嘉琳,杨骁. 基于等效弹簧模型的裂纹Euler-Bernoulli梁弯曲变形分析[J]. 力学季刊,2015,36(4):703-712. SUN Jialin,YANG Xiao. Bending deformation analysis of the Euler-Bernoulli beam with effect of switching crack gap[J]. Chinese Quarterly of Mechanics,2015,36(4):703-712.
[12] BARAD K H,SHARMA D S,VYAS V. Crack detection in cantilever beam by frequency based method[J]. Procedia Engineering,2013,51(1):770-775.
[13] BEHZAD M,GHADAMI A,MAGHSOODI A,et al. Vibration based algorithm for crack detection in cantilever beam containing two different types of cracks[J]. Journal of Sound and Vibration,2013,332(24):6312-6320.
[14] 魏义敏,杨世锡,甘春标. 变截面阶梯杆中的纵波传播特性实验[J]. 浙江大学学报,2015,49(6):1146-1153. WEI Yimin,YANG Shixi,GAN Chunbiao. Experiment for propagation characteristics of longitudinal wave in multi-step rod with variable cross-section[J]. Journal of Zhejiang University,2015,49(6):1146-1153.
[15] GAN C,WEI Y,YANG S. Longitudinal wave propagation in a rod with variable cross-section[J]. Journal of Sound and Vibration,2014,333(2):434-445.
[16] 魏义敏. 变截面杆与转轴中弹性波的运动方程及其传播特性[D]. 杭州:浙江大学,2014. WEI Yimin. Equations of motion and propagation characteristics of elastic waves propagating in rods and rotating shafts with variable cross-section[D]. Hangzhou:Zhejiang University,2014.
[17] 李群,欧卓成,陈宜亨. 高等断裂力学[M]. 北京:科学出版社,2017. LI Qun,OU Zhuocheng,CHEN Yiheng. Higher fracture mechanics[M]. Beijing:Science Press,2017.
[18] GAYEN D,CHAKRABORTY D. Variation of local flexibility coefficients of functionally graded cracked shaft[J]. Procedia Engineering,2016,144(5):1443-1450.