Coupling Analysis of Vibration and Fatigue Crack Propagation for a Breathing Cracked Beam

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The coupling effect of vibration and fatigue crack propagation for a cracked cantilever beam is studied in this paper. The dynamic characteristics and fracture mechanics parameters are calculated by using 2D 8-nodes elements in FEM code. The nonlinear dynamic behavior of breathing crack is described by a frictionless contact FEM model. Linear fracture mechanics theory is used to calculate the stress intensity factor. At resonant state, coupling effect is significant between vibration and crack propagation. The response of beam under harmonic excitation is extremely sensitive to the structure natural frequency decrease which is caused by crack length growth. An approach of sweeping crack length analysis is proposed in resonant response evaluation of cracked beam. Two numerical tests are calculated to investigate coupling effects at resonant state: crack arrest problem and crack unstable propagation problem.

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338-343

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April 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Chondros T. G., Dimarogonas A. D., Yao J.: A continuous cracked beam vibration theory [J]. Journal of Sound and Vibration, 215(1): 17-24 (1998).

DOI: 10.1006/jsvi.1998.1640

Google Scholar

[2] Chondros T. G., Dimarogonas A. D., Yao J.: Vibration of a beam with a breathing crack [J]. Journal of Sound and Vibration, 239(1): 57-67 (2001).

DOI: 10.1006/jsvi.2000.3156

Google Scholar

[3] Cheng S M, Wu X J, Wallace W: Vibrational response of a beam with a breathing crack [J] . Journal of Sound and Vibration, 225(1): 201-208 (1999).

DOI: 10.1006/jsvi.1999.2275

Google Scholar

[4] Zhong Z. Y.: Coupling Analysis of vibration and fatigue crack growth of a four-bar mechanism. Chung Yuan Christian University, Master thesis. (2002).

Google Scholar

[5] Chen S. Z.: Coupling Analysis of vibration and fatigue crack growth for a crank-slider Mechanism. Chung Yuan Christian University, Master thesis. (2003).

Google Scholar

[6] Andreaus U, Casini P, Vestroni F: Non-linear dynamics of a cracked cantilever beam under harmonic excitation. International Journal of Non-Linear Mechanics, Vol. 42(3): 566-575 (2007).

DOI: 10.1016/j.ijnonlinmec.2006.08.007

Google Scholar

[7] Hu J S, Feng X, Zhou J: Study on the nonlinear dynamic response of a beam with a breathing crack. Journal of Vibration and Shock (in Chinese), 28 (1): 76-80, 87 (2009).

Google Scholar

[8] Liu W G, Chen G P: Coupling analysis of vibration fatigue crack growth for breathing cracked beam, China Mechanical Engineering (in Chinese), 21(23): 2798-2802 (2010).

Google Scholar

[9] Chu Y C, Shen M H H. Analysis of forced bilinear oscillators and the application to cracked beam dynamics [J]. AIAA Journal. 1992, Vol. 30 (10): 2512-2519.

DOI: 10.2514/3.11254

Google Scholar

[10] Henshell RD, Shaw KG. Crack tip finite elements are unnecessary. International Journal for Numerical Methods in Engineering, Vol. 9: 495-507 (1975).

DOI: 10.1002/nme.1620090302

Google Scholar

[11] Barsoum RS. On the use of isoparametric finite elements in linear fracture mechanics. International Journal for Numerical Methods in Engineering, Vol. 10: 25-37. (1976).

DOI: 10.1002/nme.1620100103

Google Scholar

[12] Ma D L, Common ferrous metal materials fracture mechanics parameters handbook [M]. Weapon Industry Press. (1994). (in Chinese).

Google Scholar