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Effect of crack surface contact forces on vibration fatigue characteristics of beam structure

  • Zhaojun Li
  • Yujiang WangEmail author
  • Tinghao Li
  • Xiang Ma
  • Jianhua Ji
Technical Paper
  • 25 Downloads

Abstract

The vibration fatigue characteristics of a beam structure with breathing cracked links are studied, with the consideration of the contact forces at the breathing crack surfaces. First, a dynamic model of the breathing cracked beam element was formulated using the finite element method (FEM) and the theory of fracture mechanics. Subsequently, the coupled dynamic equation of a beam structure with breathing cracked links was established by FEM based on the dynamic model of the breathing cracked beam element. Then, the law of opening and closing of the breathing crack in the beam element was analyzed and the expressions for contact forces at the crack surfaces were derived using FEM. The sensitivity of the breathing crack surfaces to structural parameters and crack parameters was analyzed, by which the influence of contact forces on the structural parameters and crack parameters was revealed. Finally, the dynamic stress characteristics of the beam structure with breathing cracked links were analyzed. The vibration fatigue characteristics were described by the Paris fatigue crack growth curve model, by which the effect of the contact forces at the breathing crack surfaces on the vibration fatigue life of a beam structure with breathing cracked links was studied. Some concluding remarks based on an example have also been given.

Keywords

Beam structure Breathing crack Contact force Sensitivity Vibration fatigue 

Notes

Acknowledgements

The research was supported by National Natural Science Foundation of China under Grants (Nos. 51465001, 51065002), Guangxi Key Laboratory of Automobile Components and Vehicle Technology open Projects (No. 2015KFYB02). The supports are gratefully acknowledged.

Compliance with ethical standards

Conflict of interest

The authors have no conflict of interest to report.

References

  1. 1.
    Gomez-Mancilla JC, Palacios-Pineda LM, Na MC et al (2017) Fast algorithm estimating the Jeffcott cracked rotor dynamics and stiffness variation including chaotic behavior. Adv Vib Eng 5(6):606–614Google Scholar
  2. 2.
    Liu WG, Chen GP (2011) Coupling analysis for vibration and fatigue of a cracked cantilever beam. J Vib Shock 30(5):140–144MathSciNetGoogle Scholar
  3. 3.
    Shen MHH, Pierre C (1994) Free vibrations of beams with a single-edge crack. J Sound Vib 170(2):237–259CrossRefGoogle Scholar
  4. 4.
    Ismail F, Ibrahim A, Martin HR (1990) Identification of fatigue cracks from vibration testing. J Sound Vib 140(2):305–317CrossRefGoogle Scholar
  5. 5.
    Rivola A, White PR (1998) Bispectral analysis of the bilinear oscillator with application to the detection of fatigue cracks. J Sound Vib 216(5):889–910CrossRefGoogle Scholar
  6. 6.
    Andreaus U, Baragatti P (1998) Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response. J Sound Vib 330(4):721–742CrossRefGoogle Scholar
  7. 7.
    Dentsoras AJ, Kouvaritakis EP, Kouvaritakis EP (1995) Effects of vibration frequency on fatigue crack propagation of a polymer at resonance. Eng Fract Mech 50(4):467–473CrossRefGoogle Scholar
  8. 8.
    Liu WG, Chen GP (2012) Vibration fatigue crack growth considering crack surface friction damping. J Vib Shock 31(5):42–45+72Google Scholar
  9. 9.
    Yijiang MA, Chen G (2017) Analysis of mode and vibration fatigue life of beam with multiple cracks. J Vib Meas Diagn 37(2):307–313Google Scholar
  10. 10.
    Ma YJ, Chen GP (2016) Modal analysis of a rectangular variable cross-section beam with multiple cracks under different temperatures. J Vibroeng 18(5):3078–3088Google Scholar
  11. 11.
    Wei C, Wang JJ (2014) Coupling analysis of vibration and crack propagation for a cracked beam at resonant state. J Propuls Technol 35(10):1404–1411Google Scholar
  12. 12.
    Nakhaei AM, Dardel M, Ghasemi MH (2018) Modeling and frequency analysis of beam with breathing crack. Arch Appl Mech 88:1–16CrossRefGoogle Scholar
  13. 13.
    Maocheng W (2003) Finite element method. Tsinghua University Press, BeijingGoogle Scholar
  14. 14.
    Li Z, Long H, Liu Y et al (2014) Dynamics equation of cracked beam based on finite element displacement mode. China Mech Eng 12:1563–1566Google Scholar
  15. 15.
    Saito A, Castanier MP, Pierre C et al (2009) Efficient nonlinear vibration analysis of the forced response of rotating cracked blades. J Comput Nonlinear Dyn 4(1):53–63Google Scholar
  16. 16.
    Cui WC (2002) On consistent determination of structural capacity statistics for reliability analysis. J Ship Mech 6:37–51Google Scholar
  17. 17.
    Paris PC (1963) A critical analysis crack propagation laws. Trans ASME 85(4):528–533CrossRefGoogle Scholar
  18. 18.
    Tianyou F (1978) Fracture mechanics foundation. Jiangsu Science and Technology Press, NanjingGoogle Scholar
  19. 19.
    Foong CH, Wiercigroch M, Deans WF (2006) Novel dynamic fatigue-testing device: design and measurements. Meas Sci Technol 17(8):2218CrossRefGoogle Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  • Zhaojun Li
    • 1
  • Yujiang Wang
    • 1
    • 2
    Email author
  • Tinghao Li
    • 1
  • Xiang Ma
    • 1
  • Jianhua Ji
    • 1
  1. 1.College of Mechanical EngineeringGuangxi UniversityNanningPeople’s Republic of China
  2. 2.Guangxi Key Laboratory of Automobile Components and Vehicle TechnologyGuangxi University of Science and TechnologyLiuzhouPeople’s Republic of China

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