This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Bendat J. Probability functions for random responses. NASA report contract NAS-5-4590, 1964. Available from: https://ntrs.nasa.gov/citations/19640008076Search in Google Scholar
Bendat J. Random data: Analysis and measurement procedures. John Wiley & Sons Inc., New York United States 2010Search in Google Scholar
Bendat J. Principles and Applications of Random Noise Theory. John Wiley, New York,1958Search in Google Scholar
Rice S. Mathematical analysis of random noise. Selected papers on noise and stochastic processes, Dover, New York, 1954Search in Google Scholar
Dirlik T. Application of computers to fatigue analysis, PhD Thesis, Warwick University, 1985. Available from: http://wrap.warwick.ac.uk/2949/Search in Google Scholar
CAEfatigue VIBRATION (CFV) User Guide & Verification Manual (Release 2020). CAEfatigue Limited, UK, Nov 2020.Search in Google Scholar
Lalanne C. Mechanical vibration and shock, Vol. 4, Hermes Penton Science, London, 2009Search in Google Scholar
Lalanne C. Mechanical vibration and shock analysis: Specification Development, 3rd edition, Vol. 5, Wiley, London, 2014Search in Google Scholar
Lalanne C. Mechanical vibration and shock analysis: Fatigue Damage, 3rd edition, Vol. 4, Wiley, London, 2014Search in Google Scholar
Steinberg D. Vibration analysis for electronic equipment (2nd edition). Jon Wiley & Sons, New York, 1988Search in Google Scholar
Halfpenny A, Kichim F. Rainflow cycle counting and acoustic fatigue analysis technique for random loading. 10th International Conference RASD, Southampton UK, 2010. Available from:Search in Google Scholar
http://www.vibrationdata.com/tutorials2/Paper_RASD2010_005_Halfpenny_Kihm.pdfSearch in Google Scholar
Halfpenny A. Rainflow Cycle Counting and Fatigue Analysis from PSD, Proceedings of the ASTELAB conference, France, 2007. Available from: https://core.ac.uk/download/pdf/42735102.pdfSearch in Google Scholar
Sweitzer K., Bishop N, Genberg V. Efficient computation of spectral moments for determination of random response statistics. International Conference on Noise and Vibration Engineering - ISMA, Leuven, BE, 2004. Available from: https://citeseerx.ist.psu.edu/docment?repid=rep1&type=pdf&doi=dd17f690eeac37cf88649cdf823507ca0ffd1f1cSearch in Google Scholar
Bishop N, Sherratt F. Finite Element Based Fatigue Calculation. NAFEMS Ltd., 2000, https://doi.org/10.59972/ta5h05jdSearch in Google Scholar
Bishop N. Methods for the rapid evaluation of fatigue damage on the Howden HWP330 wind turbine. Proceedings of 13th British Wind Energy Conference, Swansea, UK, p. 317-321, 1991Search in Google Scholar
Bishop N, Sweitzer K, Schlesinger D, Woodward A. Fatigue calculation for multi input random and deterministic loads in the frequency domain. UK NAFEMS Conference, Oxford IK, Accelerating the Future of CAE, 10-11 June 2014.Search in Google Scholar
Bishop N, Kerr S, Murthy P, Sweitzer K. Advances Relating to Fatigue Calculations for Combined Random and Deterministic Loads. SAE Technical Paper 2014-01-0725, 2014 https://doi.org/10.4271/2014-01-0725Search in Google Scholar
Bishop N, Murthy P, Sweitzer K. Advances Relating to Fatigue Calculation for Combined Random and Deterministic Loads. 13th International ASTM/ESIS Symposium on Fatigue and Fracture Mechanics (39th National Symposium on Fatigue and Fracture Mechanics), November 13-15, 2013, Jacksonville, FL https://doi.org/10.4271/2014-01-0725Search in Google Scholar
Bishop N, Murthy P, Sweitzer K., Kerr S. Time vs frequency domain analysis for large automotive systems. SAE Technical Paper 2015-01-0535, 2015. https://doi.org/10.4271/2015-01-0535Search in Google Scholar
Bishop N, Murthy P, Sweitzer K., Kerr S. Time vs frequency domain analysis for large automotive systems. SAE Technical Paper 2015-01-0535, 2015, doi: https://doi.org/10.4271/2015-01-0535Search in Google Scholar
Ferreira W, Meehan T, Cardoso V, Bishop N. A comparative study of automotive system fatigue models processed in the time and frequency domain. SAE Technical Paper 2016-01-0377, 2016, https://doi.org/10.4271/2016-01-0377Search in Google Scholar
Datta S, Bishop N, Sweitzer K, Atkins A. Simultaneous durability assessment and relative random analysis under base shake loading conditions. SAE Technical Paper 2017-01-0339, 2017Search in Google Scholar
MIL-STD-810H, Department of Defence Test Method Standard: Environmental Engineering Consideration and Laboratory Test, USA, 2019.Search in Google Scholar
Brown AM, McGhee DS. Statistical Evaluation and Improvement of Method for Combining Random and Harmonic Loads. Marshall Space Flight Centre, Alabama 35812, 2003. Available from: https://ntrs.nasa.gov/citations/20030017832Search in Google Scholar
Ptak M, Czmochowski J. Using computer techniques for vibration damage estimation under stochastic loading using the Monte Carlo Method for aerospace applications. Probabilistic Engineering Mechanics. 2023, vol. 72, p. 1-13. https://doi.org/10.1016/j.probengmech.2023.103452Search in Google Scholar
Ptak M, Czmochowski J. Using computer techniques for vibration damage estimation of aircraft structures under stochastic loading. W: Computer Aided Engineering. Nauka i przemysł / red. Tadeusz Smolnicki. Wrocław : Oficyna Wydawnicza Politechniki Wrocławskiej, 2022. p. 169-179. ISBN: 978-83-7493-223-3Search in Google Scholar
Metallic Materials Properties Development and Standardization (MMPDS-15), Battelle Memorial Institute, July 2020.Search in Google Scholar
Delprete C, Sesana R, Vercelli A. Multiaxial damage assessment and life estimation: application to an automotive exhaust manifold. Procedia Engineering Vol. 2, April 2010, p. 725-734. Available from: doi: 10.1016/j.proeng.2010.03.078Search in Google Scholar
Engin Z., Coker D. Comparison of Equivalent Stress Method with Critical Plane Approaches for Multiaxial High Cycle Fatigue Assessment. 2nd International Conference on Structural Integrity, ICSI 2017, 4-7 September 2017, Funchal, Madeira, Portugal. Procedia Structural Integrity Vol. 5 2017, p. 1229-1236. Available from: doi: 10.1016/j.prostr.2017.07.049Search in Google Scholar
Smolnicki M, Ptak M, Lesiuk G. Static failure load predictions in notched steel components using a combined experimental-numerical approach. International Journal of Structural Integrity. 2017, vol. 8, no. 6, p. 683-693. https://doi.org/10.1108/IJSI-05-2017-0032Search in Google Scholar
Wang JT. Relating Cohesive Zone Models to Linear Elastic Fracture Mechanics. NASA/TM-2010-216692, May 2010. Available from: https://ntrs.nasa.gov/api/citations/20100021117/downloads/20100021117.pdfSearch in Google Scholar
Kucharski P, Lesiuk G, Czapliński T, Fratczak R, Maciejewski Ł. Numerical Estimation of Stress Intensity Factors and Crack Propagation in Lug Connector with Existing Flaw. AIP Conference Proceedings. Fatigue Failure and Fracture Mechanics XXVI: Proceedings of the XXVI Polish National Conference on Fatigue Failure and Fracture Mechanics 17-20 May 2016 Fojutowo, Poland. https://doi.org/10.1063/1.4965949Search in Google Scholar
Miner A. Cumulative damage in fatigue. J Applied Mechanics, Vol. 67, 1945, pp A159-A164, 1945.Search in Google Scholar
Palmgren A. Die lebensdauer von kugellagern, zeitschrift des vereinesdeutscher ingenierure, Vol. 68, No. 14, 1924, pp. 339-341, 1924Search in Google Scholar
Ptak M, Czmochowski J. Analysis of the impact of dynamic loads on transmission shafts of a civil aircraft. Modelling in engineering 2020: applied mechanics, Springer 2021. p. 245-257. Available from: doi: 10.1007/978-3-030-68455-6_22Search in Google Scholar
Newland D. An introduction to random vibrations, spectral & wavelet analysis. Longman Inc., England 1995Search in Google Scholar
Langtangen H. Python Scripting for Computational Science, Third Edition, Simula Research Laboratory. Springer, Berlin, Heidelberg, 2009Search in Google Scholar
Matsuishi M, Endo T. Fatigue of metals subject to varying stress. Japan Society of Mechanical Engineers, Fukuoka, March 1968Search in Google Scholar
Downing S, Socie D. Simple Rainflow counting algorithms. International Journal of Fatigue, January 1982Search in Google Scholar
Watson P, Dabell B. Cycle counting and fatigue damage. Society of Environmental Engineers, September 1976Search in Google Scholar
Dowling NE.. Local Strain Approach to Fatigue. Comprehensive Structural Integrity, Vol 4, 2003 p. 77-94. Available from: https://www.researchgate.net/publication/309717379_Comprehensive_Structural_IntegritySearch in Google Scholar
Meggiolaro MA, Castro JTP. Statistical evaluation of strain-life fatigue crack initiation predictions. International Journal of Fatigue, Vol 26, Issue 5, May 2004, p. 463-476. Available from: doi:10.1016/j.ijfatigue.2003.10.003Search in Google Scholar
Lee YL, Hathaway R, Barkey M. Fatigue Testing and Analysis. Theory and Practice. Elsevier Butterworth Heinemann, 1st Edition July 29, 2004.Search in Google Scholar