为研究耐压球壳的可靠性计算问题,提出基于自适应Kriging的耐压球壳可靠性计算方法。该方法主要包括在开展试验设计的基础上,基于有限元方法获得样本点对应的承载能力,使用自适应Kriging方法结合ERF学习函数构建结构失效方程,并在此基础上开展可靠性计算。耐压球壳计算结果表明,10个验证样本点计算结果偏差均小于0.5‰,该方法具有较高精度和计算效率。基于计算结果提出在开展自适应方法建立Kriging模型过程中,学习函数的收敛指标应随着计算方法的精度进行适当地调整的结论。研究结果可为无失效方程结构的可靠性计算提供参考。
In order to study the reliability calculation of pressure shell, a reliability calculation method of pressure shell based on adaptive Kriging is proposed in this paper. This method mainly includes: obtaining the corresponding bearing capacity of the sample points based on the finite element method on the basis of experiment design, using adaptive Kriging and ERF learning function to construct the structural failure equation, and carrying out reliability calculation on the basis of failure equation.The calculation results of a spheriacal pressure shell show that the deviation of calculation results of 10 verification sample pointes is less than 0.5‰, it is also pinted that the method has high accuracy and calculation efficiency. Based on the calculation results, it is proposed that the convergence index of learning function should be appropriately adjusted with the accuracy of the calculation method in the process of developing adaptive methods to establish Kriging model. This research can provide reference for structural reliability calculation without failure equation.
2024,46(6): 20-25 收稿日期:2023-03-07
DOI:10.3404/j.issn.1672-7649.2024.06.004
分类号:U663.2
基金项目:国家重点研发计划资助项目(2021YFC2802003)
作者简介:冯士超(1992-),男,硕士,工程师,研究方向为结构可靠性评估与设计
参考文献:
[1] 胡震, 曹俊. 载人深潜技术的发展与应用[J]. 中国工程科学, 2019, 21(6): 87-94.
HU Zhen, CAO Jun. Development and application of manned deep diving technology[J]. Strategic Study of CAE, 2019, 21(6): 87-94.
[2] 任玉刚, 刘保华, 丁忠军, 等. 载人潜水器发展现状及趋势[J]. 海洋技术学报, 2018, 37(2): 114-121.
REN Yugang, LIU Baohua, DING Zhongjun, et al. Research on the current status and development trend of manned submersibles[J]. Journal of Ocean Technology, 2018, 37(2): 114-121.
[3] 雷家峰, 马英杰, 杨锐, 等. 全海深载人潜水器载人球壳的选材及制造技术[J]. 工程研究-跨学科视野中的工程, 2016, 8(2): 179-184.
LEI Jiafeng, MA Yingjie, YANG Rui, et al. Material and fabrication of personnel hull for full ocean depth submeisible[J]. Journal of Engineering Studies, 2016, 8(2): 179-184.
[4] 李文跃, 王帅, 刘涛. 等. 大深度载人潜水器耐压壳结构研究现状及最新进展[J]. 中国造船, 2016, 57(1): 210-221.
LI Wenyue, WANG Shuai, LIU Tao, et al. Current status and process on pressure hull structure of manned deep submersible[J]. Shipbuilding of China, 2016, 57(1): 210-221.
[5] 周勇. 不完整壳体的屈曲及其可靠性分析[D]. 哈尔滨: 哈尔滨工程大学, 2007.
[6] 张磊, 胡震. 基于克里金模型的潜水器耐压舱结构优化[J]. 船舶力学, 2020, 24(1): 108-117.
ZHANG Lei, HU Zhen. Structural optimization of submersible spherical pressure hull based on Kriging model[J]. Journal of Ship Mechanics, 2020, 24(1): 108-117.
[7] 石佳睿, 唐文勇. 载人深潜器钛合金耐压球壳极限强度可靠性分析[J]. 船海工程, 2014, 43(2): 114-118.
SHI Jiarui, TANG Wenyong. Ultimate strength reliability analysis of titanium alloy spherical pressure shell in HOV[J]. Ship & Ocean Engineering, 2014, 43(2): 114-118.
[8] ALEXANDER I J F, ANDY J K. Recent advances in surrogate-based optimization[J]. Progress in Aerospace Sciences, 2009, 45: 50-79.
[9] KRIGE D G. A statistical approach to some basic mine valuations on the witwatersrand[J]. Journal of the Chemical, Metallurgical and Mining Engineering Society of South Africa, 1951, 52(6): 119-139.
[10] SACKS J, WELCH W J, MITCHELL T J, et al. Design and analysis of computer experiments[J]. AStA Advances in Statistical Andlysis, 1989, 4(4): 409-423.
[11] YANG X F, LIU Y S, ZHANG Y S, et al. Probability and convex set hybrid reliability analysis based on active learning Kriging model[J]. Applied Mathematical Modelling, 2015, 39: 3954-3971.
[12] HUANG X, CHEN J, ZHU H. Assessing small failure probabilities by AK–SS: An active learning method combining kriging and subset simulation[J]. Structural Safety, 2016, 59: 86-95.
[13] ECHARD B, GAYTON N, LEMAIRE M. AK-MCS: an active learning reliability method combining Kriging and Monte Carlo simulation[J]. Structural Safety, 2011, 33(2): 145-154.
[14] PAN B B. An overview of buckling and ultimate strength of spherical pressure hull under external pressure[J]. Marine Sreuctures, 2010, 23: 277-240.