[HTML][HTML] Past, current and future trends and challenges in non-deterministic fracture mechanics: A review

Y Feng, D Wu, MG Stewart, W Gao - Computer Methods in Applied …, 2023 - Elsevier
Structural systems are consistently encountering the variabilities in material properties,
undesirable defects and loading environments, which may potentially shorten their designed …

Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances

D Moens, M Hanss - Finite Elements in Analysis and Design, 2011 - Elsevier
The objective of this paper is to give a general overview of recent research activities on non-
probabilistic finite element analysis and its application for the representation of parametric …

[КНИГА][B] Introduction to interval analysis

RE Moore, RB Kearfott, MJ Cloud - 2009 - SIAM
This book is intended primarily for those not yet familiar with methods for computing with
intervals of real numbers and what can be done with these methods. Using a pair [a, b] of …

[PDF][PDF] Interval analysis I

RE Moore, CT Yang - … Document LMSD-285875, Lockheed Missiles and …, 1959 - nsc.ru
This book is intended primarily for those not yet familiar with methods for computing with
intervals of real numbers and what can be done with these methods. Using a pair [a, b] of …

[КНИГА][B] Advanced numerical and semi-analytical methods for differential equations

S Chakraverty, N Mahato, P Karunakar, TD Rao - 2019 - books.google.com
Examines numerical and semi-analytical methods for differential equations that can be used
for solving practical ODEs and PDEs This student-friendly book deals with various …

Probabilistic interval analysis for structures with uncertainty

W Gao, C Song, F Tin-Loi - Structural Safety, 2010 - Elsevier
A hybrid probabilistic and interval method for engineering problems described by a mixture
of random and interval variables is presented. Random interval arithmetic for carrying out …

Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method

W Gao, D Wu, C Song, F Tin-Loi, X Li - Finite Elements in Analysis and …, 2011 - Elsevier
This paper presents a mixed perturbation Monte-Carlo method for static and reliability
analysis of structural systems with a mixture of random and interval parameters/loadings …

[HTML][HTML] Discussions on non-probabilistic convex modelling for uncertain problems

BY Ni, C Jiang, ZL Huang - Applied Mathematical Modelling, 2018 - Elsevier
Non-probabilistic convex model utilizes a convex set to quantify the uncertainty domain of
uncertain-but-bounded parameters, which is very effective for structural uncertainty analysis …

Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis

D Moens, D Vandepitte - Archives of Computational Methods in …, 2006 - Springer
There is a growing awareness of the impact of non-deterministic model properties on the
numerical simulation of physical phenomena. These non-deterministic aspects are of great …

Natural frequency analysis of gear system with interval shaft misalignment in multidimensions

Y Hu, Q Du, S **e - Journal of Sound and Vibration, 2024 - Elsevier
Due to the existing tolerances, the shaft misalignment of gear system is inevitably uncertain
and shows interval property, which will cause the natural frequency to fluctuate in an interval …