Li, Z. and Ince, A.
(2019)
*A unified frequency domain fatigue damage modeling approach for random-on-random spectrum.*
International Journal of Fatigue
.
ISSN 01421123
(In Press)

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Official URL: http://dx.doi.org/10.1016/j.ijfatigue.2019.02.032

## Abstract

Current frequency domain damage models only deal with stationary random loadings (stationary Power Spectral Density), but many machine components, such as jet engines, rotating machines, and tracked vehicles are subjected to evolutionary i.e. time-dependent PSD conditions under real service loadings. An innovative fatigue damage modeling approach is proposed to predict fatigue damage of structures under complex evolutionary PSD loading conditions where the topology of PSD function changes with time. This new approach is based on a novel modeling framework that the evolutionary PSD response of a structure can be decomposed into a finite number of discrete PSD functions. Each PSD function can be split into narrow frequency bands so that each of narrowbands can be associated with Rayleigh distribution of stress cycles. Fatigue damage can then be predicted by summing up damages for each individual band and each discrete PSD function on the basis of a damage accumulation rule. The proposed modeling approach is numerically and experimentally validated by a finite element method and experiments. The proposed modeling approach provides a more efficient and accurate modeling technique for fatigue damage assessment of engineering structural components under very complex random loadings.

Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Mechanical, Industrial and Aerospace Engineering |
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Item Type: | Article |

Refereed: | Yes |

Authors: | Li, Z. and Ince, A. |

Journal or Publication: | International Journal of Fatigue |

Date: | 23 February 2019 |

Digital Object Identifier (DOI): | 10.1016/j.ijfatigue.2019.02.032 |

Keywords: | Fatigue failure; accelerated test; power spectral density; frequency domain; random loading |

ID Code: | 985041 |

Deposited By: | Monique Lane |

Deposited On: | 01 Mar 2019 21:01 |

Last Modified: | 22 Feb 2021 02:00 |

## References:

J. Hoksbergen Defining the Global Error of a Multi-Axis Vibration Test Sound and Vibration, 48 (9) (2014), pp. 8-13Habtour, E., Connon, W.S., Pohland, M.F, Stanton, S.C., Paulus, M., and Dasgupta, A., Review of response and damage of linear and nonlinear systems under multiaxial vibration, Shock and Vibration, Article ID 294271, 21 pages, 2014.

A. Steinwolf Shaker random testing with low kurtosis: Review of the methods and application for sigma limiting Shock and Vibration, 17 (3) (2010), pp. 219-231

A. Rotem Accelerated fatigue testing method International Journal of Fatigue, 3 (4) (1981), pp. 211-215

G. Allegri, X. Zhang On the inverse power laws for accelerated random fatigue testing International Journal of Fatigue, 30 (6) (2008), pp. 967-977

S. Özsoy, M. Celik, F.S. Kadıoğlu An accelerated life test approach for aerospace structural components Engineering failure analysis, 15 (7) (2008), pp. 946-957

D. Shires On the time compression (test acceleration) of broadband random vibration tests Packaging Technology and Science, 24 (2) (2011), pp. 75-87

K. Xu Development of vibration loading profiles for accelerated durability tests of ground vehicles PhD thesis University of Manitoba (2011)

Y. Eldoǧan, E. Cigeroglu Vibration fatigue analysis of a cantilever beam using different fatigue theories Topics in Modal Analysis, 7 (2014), pp. 471-478

P. Wolfsteiner, S. Sedlmair Deriving gaussian fatigue test spectra from measured non gaussian service spectra Procedia Engineering, 101 (2015), pp. 543-551

L.D. Lutes, C.E. Larsen An improved spectral method for variable amplitude fatigue prediction J Struct Div., ASCE, 116 (1990), pp. 1149-1164

P.H. Wirsching, M.C. Light Fatigue under wide band random stresses

J Struct Div., ASCE, 106 (ST7) (1980), pp. 1593-1607

C. Braccesi, F. Cianetti, G. Lori, D. Pioli Fatigue behaviour analysis of mechanical components subject to random bimodal stress process frequency domain approach Int J Fatigue, 27 (4) (2005), pp. 335-345

L.D. Lutes, S. Sarkani Random vibrations: analysis of structural and mechanical systems Butterworth-Heinemann (2004)

J.W. Miles On structural fatigue under random loading J Aeronaut Soc., 21 (1965), pp. 753-762

J. Bendat Probability functions for random responses

NASA report (1964)

T. Dirlik Application of computers in fatigue analysis, Doctoral dissertation University of Warwick (1985)

M. Light, P. Wirsching Fatigue under wide band random loading

J Struct (1980), pp. 1593-1607

W. Dover, J. Kam Fast fatigue assessment procedure for offshore structures under random stress history Proc. Instn. Civ. Engrs, 2 (85) (1988), pp. 689-700

A. Palmgren Die lebensdauer von kugellagern VDI-Zeitschrift, 68 (1924), pp. 339-341

M.A. Miner Cumulative damage in fatigue J Appl Mech, 12 (1945), pp. 159-164

Z. Ghao, T. Moan Frequency-domain fatigue analysis of wide-band stationary gaussian processes using a trimodal spectral formulation

Int J Fatigue, 30 (10–11) (2008), pp. 1944-1955

W. Zhao, M.J. Baker On the probability density function of rainflow stress range for stationary gaussian processes Int J Fatigue, 14 (2) (1992), pp. 121-135

R. Tovo Cycle distribution and fatigue damage under broad-band random loading Int J Fatigue, 24 (11) (2002), pp. 1137-1147

D. Benasciutti, R. Tovo Fatigue life assessment in non-Gaussian random loadings International journal of fatigue, 28 (7) (2006), pp. 733-746

C. Braccesi, L. Cianetti, Tomassini Random fatigue. A new frequency domain criterion for the damage evaluation of mechanical components International Journal of Fatigue, 70 (2015), pp. 417-427

NATO/PFP UNCLASSIFIED, “AECTP 400 (Edition 3) – MECHANICAL ENVIRONMENTAL TESTS”, 2006.

P.L. Gatti Applied Structural and Mechanical Vibrations: Theory and Methods CRC Press (2014)

S.H. Crandall, D.M. William Random vibration in mechanical systems

Academic Press (2014)

A. Ince A mean stress correction model for tensile and compressive mean stress fatigue loadings Fatigue and Fracture of Engineering Materials and Structures, 40 (6) (2017), pp. 939-948

A. Ince A generalized mean stress correction model based on distortional strain energy” International Journal of Fatigue, 104 (2017), pp. 273-282

A. Ince A novel technique for multiaxial fatigue modelling of ground vehicle notched components International Journal of Vehicle Design, 67 (2015), pp. 294-313

A. Ince, D. Bang Deviatoric Neuber method for stress and strain analysis at notches under multiaxial loadings International Journal of Fatigue, 102 (2017), pp. 229-240

A. Ince, G. Glinka A generalized damage parameter for multiaxial fatigue life prediction under proportional and non-proportional loadings International Journal of Fatigue, 62 (2014), pp. 34-41

L. Capponi, M. Cesnik, J. Slavic, F. Cianetti, M. Boltezar A mean stress correction model for tensile and compressive mean stress fatigue loadings International Journal of Fatigue, 104 (2017), pp. 221-230

F. Kihma, N.S. Fergusonb, J. Antonic Fatigue life from kurtosis controlled excitations Procedia Engineerin, 133 (2015), pp. 698-713

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