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An improved interval model updating method via adaptive Kriging models
《Applied Mathematics and Mechanics(English Edition)》2024年第3期497-514,共18页Sha WEI Yifeng CHEN Hu DING Liqun CHEN 
Project supported by the National Natural Science Foundation of China(Nos.12272211,12072181,12121002)。
Interval model updating(IMU)methods have been widely used in uncertain model updating due to their low requirements for sample data.However,the surrogate model in IMU methods mostly adopts the one-time construction me...
关键词：interval model updating(IMU) non-probabilistic uncertainty adaptive Kriging model surrogate model grey number 
用于具有多失效模式和带相关不确定性结构可靠性分析的基于有限数据的非概率凸多面体模型
《Acta Mechanica Sinica》2023年第2期167-182,共16页邱志平 唐海峻 祝博 
supported by the Defense Industrial Technology Development Program (Grant Nos.JCKY2018601B001,JCKY2019209C004,and JCKY2019205A006);the National Natural Science Foundation of China (Grant Nos.11432002,11772026,and 12002015);the Aeronautical Science Foundation of China (Grant No.20182951014);the Beijing Municipal Science and Technology Commission (Grant No.Z191100004619006).
本文提出了一种新的非概率可靠性模型,关注不确定性条件下结构可靠性评估,称为凸多面体可靠性模型.与现有的概率和非概率区间模型不同,凸多面体模型考虑用多维凸多面体描述不确定变量空间.与区间模型相比,凸多面体模型更紧凑,反映了基...
关键词：Non-probabilistic uncertainties Structural reliability analysis Convex polyhedron Multiple failure modes 
NO-ARBITRAGE SYMMETRIES
《Acta Mathematica Scientia》2022年第4期1373-1402,共30页Iván DEGANO Sebastián FERRANDO Alfredo GONZáLEZ 
supported in part by an NSERC grant;supported in part by the National University of Mar del Plata,Argentina EXA902/18。
The no-arbitrage property is widely accepted to be a centerpiece of modern financial mathematics and could be considered to be a financial law applicable to a large class of(idealized) markets.This paper addresses the...
关键词：No arbitrage symmetry convexity preserving maps non-probabilistic markets 
Review:Recent Developments in Dynamic Load Identification for Aerospace Vehicles Considering Multi⁃source Uncertainties被引量：8
《Transactions of Nanjing University of Aeronautics and Astronautics》2021年第2期271-287,共17页WANG Lei LIU Yaru XU Hanying 
supported by the National Nature Science Foundation of China(No.12072007);the Ningbo Nature Science Foundation(No.202003N4018);the Aeronautical Science Foundation of China (No. 20182951014);the Defense Industrial Technology Development Program(No.JCKY2019209C004)
The determination of the dynamic load is one of the indispensable technologies for structure design and health monitoring for aerospace vehicles.However,it is a significant challenge to measure the external excitation...
关键词：dynamic load identification concentrated dynamic load distributed dynamic load stochastic load probabilistic uncertainties non-probabilistic uncertainties 
A Bayesian Updating Method for Non-Probabilistic Reliability Assessment of Structures with Performance Test Data被引量：5
《Computer Modeling in Engineering & Sciences》2020年第11期777-800,共24页Jiaqi He Yangjun Luo 
This work was supported financially by the National Key R&D Program of China(2017YFB0203604);the National Natural Science Foundation of China(11972104,11772077);the Liaoning Revitalization Talents Program(XLYC1807187).
For structures that only the predicted bounds of uncertainties are available,this study proposes a Bayesianmethod to logically evaluate the nonprobabilistic reliability of structures based on multi-ellipsoid convex mo...
关键词：Convex model Bayesian method non-probabilistic reliability information fusion 
A Comprehensive Model for Structural Non-Probabilistic Reliability and the Key Algorithms被引量：2
《Computer Modeling in Engineering & Sciences》2020年第4期309-332,共24页Wencai Sun Zichun Yang 
funded by National Natural Science Foundation of China(No.51509254).
It is very difficult to know the exact boundaries of the variable domain for problems with small sample size,and the traditional convex set model is no longer applicable.In view of this,a novel reliability model was p...
关键词：Structural reliability NON-PROBABILISTIC fuzzy convex set robust reliability volume ratio-based reliability Monte Carlo Gauss-Legendre integral formula 
An Efficient Strategy for Non-probabilistic Reliability-Based Multi-material Topology Optimization with Evidence Theory被引量：2
《Acta Mechanica Solida Sinica》2019年第6期803-821,共19页Qinghai Zhao Hongxin Zhang Tiezhu Zhang Qingsong Hua Lin Yuan Wenyue Wang 
supported by the Natural Science Foundation of China(Grant No.51705268);Shandong Provincial Natural Science Foundation,China(Grant No.ZR2016EEB20);China Postdoctoral Science Foundation Funded Project(Grant No.2017M612191)。
It is essential to consider the effects of incomplete measurement,inaccurate information and inadequate cognition on structural topology optimization.For the multi-material structural topology optimization with non-pr...
关键词：Multi-material Topology optimization NON-PROBABILISTIC RELIABILITY Evidence theory 
Time Intervals of the Electron Transitions between the Energy States in the Hydrogen Atom Calculated in a Non-Probabilistic Way被引量：1
《Journal of Modern Physics》2019年第13期1522-1531,共10页Stanislaw Olszewski 
Definitions of the mechanical parameters entering the Bohr model of the hydrogen atom allowed us to calculate the time intervals connected with the electron transitions between the nearest-neighbouring energy levels i...
关键词：Spectrum of the Hydrogen Atom Time Intervals of the Electron Transitions 
Robust topology optimization of hinge-free compliant mechanisms with material uncertainties based on a non-probabilistic field model被引量：5
《Frontiers of Mechanical Engineering》2019年第2期201-212,共12页Junjie ZHAN Yangjun LUO 
the National Key R&D Program of China(Grant No.2017YFB0203604);the National Natural Science Foundation of China(Grant No.11472215).
This paper presents a new robust topology optimization framework for hinge-free compliant mechanisms with spatially varying material uncertainties,which are described using a non-probabilistic bounded field model.Boun...
关键词：compliant mechanisms ROBUST topology optimization HINGES uncertainty BOUNDED field 
Application of non-probabilistic reliability on aerostat capsule
《High Technology Letters》2018年第4期417-421,共5页Zhu Zengqing Liu Guoliang 
Supported by the National High Technology Research and Development Program of China(2015AA8098085E)
Aerostat capsule is small sample data,so designing reliability is very difficult to be obtained accurately by conventional probabilistic reliability method. Based on the interval non-probabilistic reliability theory,a...
关键词：NON-PROBABILISTIC AEROSTAT reliability INDEX CAPSULE 
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