Advertisement

Vibration Fatigue Analysis of a Cantilever Beam Using Different Fatigue Theories

  • Yusuf Eldoǧan
  • Ender CigerogluEmail author
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

In this study, vibration fatigue analysis of a cantilever beam is performed using an in-house numerical code. Finite element model (FEM) of the cantilever beam verified by tests is used for the analysis. Several vibration fatigue theories are used to obtain fatigue life of the cantilever beam for white noise random input and the results obtained are compared with each other. Fatigue life calculations are repeated for different damping ratios and the effect of damping ratio is studied. Moreover, using strain data obtained from cantilever beam experiments, fatigue life of the beam is determined by utilizing time domain (Rainflow counting method) and frequency domain methods, which are compared with each other. In addition to this, fatigue tests are performed on cantilever beam specimens and fatigue life results obtained experimentally are compared with that of in-house numerical code. It is observed that the accuracy of the damping ratio is very important for accurate determination of fatigue life. Furthermore, for the case considered, it is observed that the fatigue life result obtained from Dirlik method is considerably similar to that of Rainflow counting method.

Keywords

Vibration fatigue theories Rainflow counting Dirlik method Probability density function Frequency domain fatigue theories 

References

  1. 1.
    Bishop NWM, Sherratt F (2005) Finite element based fatigue calculations. NAFEMS, Bernau am Chiemsee, GermanyGoogle Scholar
  2. 2.
    Bishop N Fatigue (2000) Analysis of a missile shaker table mounting bracket. Time Los Angeles, USA, 10pGoogle Scholar
  3. 3.
    Aykan M (2005) Vibration fatigue analysis of equipments used. M.Sc. Thesis, Middle East Technical University, AnkaraGoogle Scholar
  4. 4.
    Rice SO (1954) Mathematical analysis of random noise. In: Wax N (ed) Selected papers on noise and stochastic processes. Dover, New YorkGoogle Scholar
  5. 5.
    Bendat JS (1964) Probability functions for random responses. NASA report on contract NAS-4590Google Scholar
  6. 6.
    Wirching PH, Light MC (1980) Fatigue under wide band random loading. J Struct Div 1593–1607. ASCEGoogle Scholar
  7. 7.
    Tunna JM (1986) Fatigue life prediction for Gaussian random loads at the design stage. Fatigue Fract Eng Mater Struct 9(3):169–184Google Scholar
  8. 8.
    Kam JCP, Dover WD (1988) Fast fatigue assessment procedure for offshore structures under random stress history. Proc Inst Civ Eng 85:689–700Google Scholar
  9. 9.
    Chaudhury GK, Dover WD (1985) Fatigue analysis of offshore platforms subject to sea wave loadings. Int J Fatigue 1(1):13–19Google Scholar
  10. 10.
    Steinberg DS (2000) Vibration analysis for electronic equipment, 3rd edn. Wiley, New YorkGoogle Scholar
  11. 11.
    Dirlik T (1985) Application of computers in fatigue analysis. University of WarwickGoogle Scholar
  12. 12.
    Eldogan Y, Cigeroglu E (2012) Vibration fatigue analysis of a cantilever beam exposed to random loading. In: The 15th international conference on machine design and production, Pamukkale, Denizli, TurkeyGoogle Scholar
  13. 13.
    ASTM Designation E 1049-85 (1997) Standard practices for cycle counting in fatigue analysis 1. Read 85:1–10. ReapprovedGoogle Scholar

Copyright information

© The Society for Experimental Mechanics 2014

Authors and Affiliations

  1. 1.Middle East Technical UniversityAnkaraTurkey
  2. 2.ASELSAN MGEO Inc.AnkaraTurkey

Personalised recommendations