Reliability Calculation Method of Pressure Resistant Spherical Shell Based on Importance Sampling Method
Received:May 18, 2023  Revised:June 27, 2023
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DOI:10.7643/issn.1672-9242.2023.09.005
KeyWord:pressure resistant spherical shell  adaptive Kriging  importance sampling method, minimal failure probability  important direction  without failure equation
        
AuthorInstitution
FENG Shi-chao China Ship Scientific Research Center, Jiangsu Wuxi , China;Taihu Laboratory of Deepsea Technological Science, Jiangsu Wuxi , China;State Key Laboratory of Deep-sea Manned Vehicles, Jiangsu Wuxi , China
WAN Zheng-quan China Ship Scientific Research Center, Jiangsu Wuxi , China;Taihu Laboratory of Deepsea Technological Science, Jiangsu Wuxi , China;State Key Laboratory of Deep-sea Manned Vehicles, Jiangsu Wuxi , China
LI Yan-qing China Ship Scientific Research Center, Jiangsu Wuxi , China;Taihu Laboratory of Deepsea Technological Science, Jiangsu Wuxi , China;State Key Laboratory of Deep-sea Manned Vehicles, Jiangsu Wuxi , China
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Abstract:
      The work aims to solve the reliability calculation problem of pressure resistant spherical shells with minimal failure probability. Based on adaptive Kriging, a reliability calculation method of pressure resistant spherical shells was proposed in combination with the importance sampling method. This method mainly included obtaining important direction based on the building Kriging model of high failure probability, computing design points of the model of low failure probability, building a Kriging model of low failure probability centered on the design point, and using this model to carry out reliability calculation with the importance sampling method. The failure probability of two examples was calculated with the importance sampling method proposed in this paper and the Monte Carlo method. The calculation results showed that the method proposed in this paper had high calculation accuracy and efficiency. The method was also used to calculate the failure probability of a pressure resistant spherical shell under working load, and the failure probability was 4.094×10–96. The research can provide reference for reliability calculation of extremely low failure probability without failure equation.
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