Abstract
A novel experimental rig capable of generating a versatile dynamic loading has been designed and tested to overcome the shortcomings of conventional fatigue testing machines such as the difficulty in providing zero crossing aperiodic loading. The main principle of this new design is based on two, single degree of freedom based excited oscillators, where inertial forces act on a specially designed specimen. By changing the natural frequency of the oscillator, the extent of the preloads and pattern of the excitation signal on the shaker, the rig provides a new and robust means of fatigue testing, particularly for aperiodic loading.
Similar content being viewed by others
References
Abrahim, O.N.L. and Brandon, J.A., ‘A piecewise linear approach for the modelling of a breathing crack’, in: 12th International Seminar On Modal Analysis, Leuven, Belgium, 1992, pp. 417-431.
British Standard, ‘Method for determination of KIC, critical CTOD and critical J values of metallic materials’, in: Fracture Mechanics Toughness Tests, British Standard BS7448, Part 1, 1991.
Chati, M.R. and Mukherjee, S., ‘Model analysis of a cracked beam’, J. Sound Vib. 207(2) (1997) 249-270.
Chondros, T.G., Dimarogonas, A.D. and Yao, J., ‘Longitudinal vibration of a bar with a breathing crack’, Eng. Fract. Mech. 61 (1998a) 503-518.
Chondros, T.G., Dimarogonas, A.D. and Yao, J., ‘Longitudinal vibration of a continuous cracked bar’, Eng. Fract. Mech. 61 (1998b) 593-606.
Chondros, T.G., Dimarogonas, A.D. and Yao, J., ‘A continuous cracked beam vibration theory’, J. Sound Vib. 215(1) (1998c) 17-34.
Christides, S. and Barr, A.D.S., ‘One-dimensional theory of cracked Bernoulli-Euler beams’. Int. J. Mech. Sci. 26 (1984) 639-648.
Chu, Y.C. and Shen, M.-H.H., ‘Analysis of forced bilinear oscillators and the application to cracked beam dynamics’, AIAA J. 30(10) (1992) 2512-2519.
Collins, K.R., Plaut, R.H. and Wauer, J., ‘Free and forced longitudinal vibrations of a cantilever bar with a crack’, J. Vib. Acoust. 114 (1992) 171-177.
Dentsoras, A.J. and Dimarogonas, A.D., ‘Resonance controlled fatigue crack propagation’, Eng. Fract. Mech. 17(4) (1983a) 381-386.
Dentsoras, A.J. and Dimarogonas, A.D., ‘Resonance controlled fatigue crack propagation in a beam under longitudinal vibrations’, Int. J. Fracture 23 (1983b) 15-22.
Dentsoras, A.J. and Dimarogonas, A.D., ‘Resonance controlled fatigue crack propagation in cylindrical shafts under combined loading’, in: ASME Winter Annual Meeting, Boston, 1983c.
Dentsoras, A.J. and Dimarogonas, A.D., ‘Fatigue crack propagation in resonating structures’, Eng. Fract. Mech. 34(3) (1989) 721-728.
Dimarogonas, A.D. and Papadopoulos, C.A., ‘Vibration of cracked shafts in bending’, J. Sound Vib. 91(4) (1983) 583-593.
Emans, J., Dynamics of Controllable Piecewise Linear Oscillator, Meng Thesis, University of Aberdeen, Scotland, 1999, pp. 245-260.
Fernández-Sáez, J., Rubio, L. and Navarro, C., ‘Approximate calculation of the fundamental frequency for bending vibrations of cracked beams’, J. Sound Vib. 225(2) (1999) 345-352.
Francis, S.T., Ivan, E.M. and Rolland, T.H., Mechanical Vibrations: Theory and Applications, Prentice Hall, Englewood Cliffs, New Jersey, 1978, pp. 78-80.
Friswell, M.L. and Penny, J., ‘A simple nonlinear model of a cracked beam’, in: Proc. 10th International Modal Analysis Conference, 1, San Diego, USA, 1992, pp. 516-521.
Frost, N.E., Marsh, K.J. and Pook, L.P., Metal Fatigue, Oxford University Press, London, 1974, pp. 245-260.
Gudmundson, P., ‘The dynamic behavior of slender structures with cross-sectional cracks’, J. Mech. Phys. Solids 31(4) (1983) 329-345.
Ibrahim, A., Ismail, F. and Martin, H.R., ‘Modelling of the dynamics of a continuous beam including nonlinear fatigue crack’, J. Modal Anal. 2 (1987) 76-82.
Irwin, G.R., ‘Analysis of stresses and strains near the end of a crack traversing a plate’, J. Appl. Mech.-T. ASME 24 (1957) 361-364.
Kirmsher, P.G., ‘The effect of discontinuities on the natural frequency of beams’, P. Am. Soc. Test. Mater. 44 (1944) 897-904.
Liebowitz, H., Vanderveldt, H. and Harris, D.W., ‘Carrying capacity of notched column’, Int. J. Solids Struct. 3 (1967) 489-500.
Paris, P.C., Gomez, M.P. and Anderson, W.E., ‘A rational theory of fatigue’, Trend Eng. 13(1) (1961) 9-14.
Petroski, H.J., ‘Simple static and dynamic models for the cracked elastic beam’, Int. J. Fracture 17(4) (1981) R71-R76.
Rizos, P.F., Aspragathos, N. and Dimarogonas, A.D., ‘Identification of crack location and magnitude in a cantilever beam from the vibration modes’, J. Sound Vib. 138(3) (1990) 381-388.
Shen, M.-H.H. and Chu, Y.C., ‘Vibrations of beams with a fatigue crack’ Computers and Structures 45(1) (1992) 379-393.
Shen, M.-H.H. and Pierre, C., ‘Free vibrations of beams with a single-edge crack’, J. Sound Vib. 170(2) (1994) 237-259.
Sih, G.C., ‘Strain energy density factor applied to mixed mode problems’, Eng. Fract. Mech. 10 (1974) 305-321.
Tada, H., Paris, P.C. and Irwin, G.R., The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, Pennsylvania, 1973.
Thomson, W.J., ‘Vibration of slender bars with discontinuities in stiffness’, J. Appl. Mech.-T. ASME 71 (1949) 203-207.
Warburton, G.B., ‘Letter to the Editor’, Int. J. Mech. Sci. 29 (1987) 443-446.
Wiercigroch, M. and de Kraker, B. (eds), Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities, World Scientific, London, New York, Singapore, 2000.
Yuen, M.F., ‘A numerical study of the eigenparameters of a damaged cantilever’, J. Sound Vib. 103 (1985) 301-310.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Foong, CH., Wiercigroch, M. & Deans, W.F. An Experimental Rig to Investigate Fatigue Crack Growth Under Dynamic Loading. Meccanica 38, 19–31 (2003). https://doi.org/10.1023/A:1022063116312
Issue Date:
DOI: https://doi.org/10.1023/A:1022063116312