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Double Gamma distribution model for the probability density of rainflow-range of broadband random vibration stress
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Jie WANG, Huai-hai CHEN, Rong-hui ZHENG
Journal of Vibration Engineering | 2024, 37(12) : 2124 - 2131
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Journal of Vibration Engineering | 2024, 37(12): 2124-2131
Double Gamma distribution model for the probability density of rainflow-range of broadband random vibration stress
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Jie WANG, Huai-hai CHEN, Rong-hui ZHENG
Affiliations
  • State Key Laboratory of Mechanics and Control for Aerospace Structures，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China
Published: 2024-12-28 doi: 10.16385/j.cnki.issn.1004-4523.2024.12.014
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A double Gamma distribution model to determine the probability density function （PDF） of the time domain rainflow-range corresponding to the broadband random stress power spectral density （PSD） is proposed，and a neural network method is used to implement the parameter prediction of the model. A series of stress PSDs are given，and the corresponding stress time histories are generated using the time-domain randomization method. The number of rainflow-range is counted for the stress time histories using the rainflow counting method，and the stress rainflow-range probability density values are calculated. Based on the calculation results of each stress PSD mentioned above，the proposed stress rainflow-range probability density double Gamma distribution model is parametrically fitted to obtain a set of corresponding model parameters. The results of the double Gamma distribution model are compared with the Dirlik method and fatigue life prediction is carried out，and the results show that the proposed double Gamma distribution model is more accurate for determining the broadband random stress rainflow-range PDF.

random vibration  /  fatigue life  /  stress probability density  /  rainflow-range  /  neural network
Jie WANG, Huai-hai CHEN, Rong-hui ZHENG. Double Gamma distribution model for the probability density of rainflow-range of broadband random vibration stress[J]. Journal of Vibration Engineering, 2024 , 37 (12) : 2124 -2131 . DOI: 10.16385/j.cnki.issn.1004-4523.2024.12.014
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Year 2024 volume 37 Issue 12
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2024.12.014
  • Receive Date：2022-11-20
  • Online Date：2026-02-12
  • Published：2024-12-28
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  • Received：2022-11-20
  • Revised：2023-03-01
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    State Key Laboratory of Mechanics and Control for Aerospace Structures，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
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Genus		 种数
Number of
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Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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