Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review

C Jiang, J Zheng, X Han - Structural and Multidisciplinary Optimization, 2018 - Springer
Traditional structural uncertainty analysis is mainly based on probability models and
requires the establishment of accurate parametric probability distribution functions using …

Length scale and manufacturability in density-based topology optimization

BS Lazarov, F Wang, O Sigmund - Archive of Applied Mechanics, 2016 - Springer
Since its original introduction in structural design, density-based topology optimization has
been applied to a number of other fields such as microelectromechanical systems …

Robust topology optimization accounting for spatially varying manufacturing errors

M Schevenels, BS Lazarov, O Sigmund - Computer Methods in Applied …, 2011 - Elsevier
This paper presents a robust approach for the design of macro-, micro-, or nano-structures
by means of topology optimization, accounting for spatially varying manufacturing errors …

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 …

Level set based robust shape and topology optimization under random field uncertainties

S Chen, W Chen, S Lee - Structural and Multidisciplinary Optimization, 2010 - Springer
A robust shape and topology optimization (RSTO) approach with consideration of random
field uncertainty in loading and material properties is developed in this work. The proposed …

Level-set topology optimization for mechanical metamaterials under hybrid uncertainties

J Wu, Z Luo, H Li, N Zhang - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
This paper proposes a level set-based robust topology optimization (RTO) method for
computational design of metamaterials under hybrid uncertainties, eg auxetics with negative …

Robust topology optimization of phononic crystals with random field uncertainty

X Zhang, J He, A Takezawa… - International Journal for …, 2018 - Wiley Online Library
The uncertain spatial variation of material properties can remarkably affect the band gap
characteristics of phononic crystals (PnCs). It is necessary to consider this issue when …

Introducing loading uncertainty in topology optimization

PD Dunning, HA Kim, G Mullineux - AIAA journal, 2011 - arc.aiaa.org
THE world is full of uncertainties and structures need to be designed and optimized to be
robust and reliable when operating in an uncertain environment. The traditional engineering …

Robust topology optimization of thermoelastic metamaterials considering hybrid uncertainties of material property

H Li, H Li, M **ao, Y Zhang, J Fu, L Gao - Composite Structures, 2020 - Elsevier
Metamaterials with extreme thermoelastic properties (ie thermal expansion and stress) offer
significant value in applications that require maintaining thermal geometric stability, eg …

Topology optimization with geometric uncertainties by perturbation techniques

BS Lazarov, M Schevenels… - International Journal for …, 2012 - Wiley Online Library
The aim of this paper was to present a topology optimization methodology for obtaining
robust designs insensitive to small uncertainties in the geometry. The variations are …