Modeling, analysis, and optimization under uncertainties: a review

E Acar, G Bayrak, Y Jung, I Lee, P Ramu… - Structural and …, 2021 - Springer
Abstract Design optimization of structural and multidisciplinary systems under uncertainty
has been an active area of research due to its evident advantages over deterministic design …

Time-dependent reliability-based optimization for structural-topological configuration design under convex-bounded uncertain modeling

L Wang, Y Liu, M Li - Reliability Engineering & System Safety, 2022 - Elsevier
In this work, a novel convexity-oriented time-dependent reliability-based topology
optimization (CTRBTO) framework is investigated with overall consideration of universal …

Non-probabilistic reliability-based topology optimization (NRBTO) scheme for continuum structures based on the strength constraint parameterized level set method …

L Wang, Y Liu, Z Li, J Hu, B Han - Thin-Walled Structures, 2023 - Elsevier
In this paper, a study on non-probabilistic reliability-based topology optimization (NRBTO)
scheme for continuum structures based on the parameterized level set method (PLSM) is …

A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers

L Wang, J Liu, C Yang, D Wu - Applied Mathematical Modelling, 2021 - Elsevier
PID control is widely used in vibration control systems. However, there are various
uncertainties present in practical engineering, and the PID parameters obtained from a …

Structural reliability analysis using non-probabilistic convex model

C Jiang, RG Bi, GY Lu, X Han - Computer Methods in Applied Mechanics …, 2013 - Elsevier
By using the convex model approach, the bounds of the uncertain parameters are only
required rather than their precise probability distributions, based on which it can be made …

A novel interval dynamic topology optimization methodology of piezoelectric structures under reliable active control

W Zhao, L Wang - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
In this paper, considering the influence of uncertainties in piezoelectric intelligent structures
with active vibration control law, a robust topology optimization method to reduce the …

A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties

L Wang, D Liu, Y Yang, X Wang, Z Qiu - Computer Methods in Applied …, 2017 - Elsevier
A new non-probabilistic reliability-based topology optimization (NRBTO) method for detailed
design of continuum structures is proposed in this paper, in which the unknown but bounded …

Hybrid active learning method for non-probabilistic reliability analysis with multi-super-ellipsoidal model

L Hong, H Li, J Fu, J Li, K Peng - Reliability Engineering & System Safety, 2022 - Elsevier
Non-probabilistic reliability analysis is of great importance in both reliability measure and
reliability based design, the efficiency and precision of non-probabilistic reliability analysis …

[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 …

Reliability estimation of fatigue crack growth prediction via limited measured data

L Wang, X Wang, H Su, G Lin - International Journal of Mechanical …, 2017 - Elsevier
In view of limited uncertainty information, a time-dependent reliability estimation procedure
that combines the determined crack growth model with interval mathematics is presented as …