A survey of structural and multidisciplinary continuum topology optimization: post 2000

JD Deaton, RV Grandhi - Structural and Multidisciplinary Optimization, 2014 - Springer
Topology optimization is the process of determining the optimal layout of material and
connectivity inside a design domain. This paper surveys topology optimization of continuum …

Accelerating large-scale topology optimization: state-of-the-art and challenges

S Mukherjee, D Lu, B Raghavan, P Breitkopf… - … Methods in Engineering, 2021 - Springer
Large-scale structural topology optimization has always suffered from prohibitively high
computational costs that have till date hindered its widespread use in industrial design. The …

Topology optimization in aircraft and aerospace structures design

JH Zhu, WH Zhang, L Xia - Archives of computational methods in …, 2016 - Springer
Topology optimization has become an effective tool for least-weight and performance
design, especially in aeronautics and aerospace engineering. The purpose of this paper is …

Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction

J Barnett, C Farhat - Journal of Computational Physics, 2022 - Elsevier
A quadratic approximation manifold is presented for performing nonlinear, projection-based,
model order reduction (PMOR). It constitutes a departure from the traditional affine subspace …

Reduced-order methods for dynamic problems in topology optimization: A comparative study

Q Li, O Sigmund, JS Jensen, N Aage - Computer Methods in Applied …, 2021 - Elsevier
The dynamics of engineering structures are of great importance for topology optimization
problems in both academia and industry. However, for design problems where broadband …

Maximizing natural frequencies of inhomogeneous cellular structures by Kriging-assisted multiscale topology optimization

Y Zhang, L Gao, M Xiao - Computers & Structures, 2020 - Elsevier
This paper proposes a Kriging-assisted multiscale topology optimization method for
maximizing natural frequencies of inhomogeneous cellular structures, where spatially …

Multiscale topology optimization for minimizing frequency responses of cellular composites with connectable graded microstructures

Y Zhang, M Xiao, L Gao, J Gao, H Li - Mechanical Systems and Signal …, 2020 - Elsevier
This paper develops an efficient multiscale topology optimization method for minimizing the
frequency response of cellular composites over a given frequency interval, which consist of …

Topology optimization: a review for structural designs under vibration problems

S Zargham, TA Ward, R Ramli, IA Badruddin - Structural and …, 2016 - Springer
This article provides a comprehensive review of structural optimization employing topology
methods for structures under vibration problems. Topology optimization allows creative and …

A comparative study of dynamic analysis methods for structural topology optimization under harmonic force excitations

H Liu, W Zhang, T Gao - Structural and Multidisciplinary Optimization, 2015 - Springer
This work is focused on the topology optimization related to harmonic responses for large-
scale problems. A comparative study is made among mode displacement method (MDM) …

Concurrent topology optimization for minimizing frequency responses of two-level hierarchical structures

WM Vicente, ZH Zuo, R Pavanello, TKL Calixto… - Computer Methods in …, 2016 - Elsevier
This paper presents a concurrent topology optimization methodology for minimizing the
frequency responses of multiscale systems composed of macro and micro phases. Although …