Structural and Multidisciplinary Optimization

Article	Citations
Topology optimization of multi-scale structures: a review	283
A comprehensive review of digital twin — part 1: modeling and twinning enabling technologies	113
TOuNN: Topology Optimization using Neural Networks	107
Crashworthiness design and multi-objective optimization of a novel auxetic hierarchical honeycomb crash box	72
A comprehensive review of educational articles on structural and multidisciplinary optimization	69
On the use of artificial neural networks in topology optimisation	67
Evidence theory-based reliability optimization for cross-scale topological structures with global stress, local displacement, and micro-manufacturing constraints	66
Integrating deep learning into CAD/CAE system: generative design and evaluation of 3D conceptual wheel	61
PolyStress: a Matlab implementation for local stress-constrained topology optimization using the augmented Lagrangian method	54
Modeling, analysis, and optimization under uncertainties: a review	53
Subset simulation with adaptable intermediate failure probability for robust reliability analysis: an unsupervised learning-based approach	52
Topology optimization in concrete construction: a systematic review on numerical and experimental investigations	50
A comprehensive review of digital twin—part 2: roles of uncertainty quantification and optimization, a battery digital twin, and perspectives	47
Topology optimization with linearized buckling criteria in 250 lines of Matlab	47
Two-stage convolutional encoder-decoder network to improve the performance and reliability of deep learning models for topology optimization	43
Accelerating gradient-based topology optimization design with dual-model artificial neural networks	40
Design of one-dimensional acoustic metamaterials using machine learning and cell concatenation	40
Robust optimization design of a flying wing using adjoint and uncertainty-based aerodynamic optimization approach	40
An efficient and easy-to-extend Matlab code of the Moving Morphable Component (MMC) method for three-dimensional topology optimization	40
Multi-objective Bayesian topology optimization of a lattice-structured heat sink in natural convection	39
Reliability-based design optimization for RV reducer with experimental constraint	39
A general fidelity transformation framework for reliability-based design optimization with arbitrary precision	39
Multidisciplinary design optimization of underwater glider for improving endurance	37
Flexible-constrained time-variant hybrid reliability-based design optimization	37
Application of state-of-the-art multiobjective metaheuristic algorithms in reliability-based design optimization: a comparative study	37

Topology optimization of vibrating structures with frequency band constraints	37
Data-driven design exploration method using conditional variational autoencoder for airfoil design	36
Second-order reliability methods: a review and comparative study	36
Strength and mass optimisation of variable-stiffness composites in the polar parameters space	35
Stiffener layout optimization of shell structures with B-spline parameterization method	35
Crushing stress and vibration fatigue-life optimization of a battery-pack system	33
Crashworthiness analysis and optimization of standard and windowed multi-cell hexagonal tubes	32
A machine learning based optimization method towards removing undesired deformation of energy-absorbing structures	31
Multi-objective optimization of multi-directional functionally graded beams using an effective deep feedforward neural network-SMPSO algorithm	31
Digital Twin in smart manufacturing: remote control and virtual machining using VR and AR technologies	30
Surrogate modeling: tricks that endured the test of time and some recent developments	29
PolyDyna: a Matlab implementation for topology optimization of structures subjected to dynamic loads	29
An efficient 137-line MATLAB code for geometrically nonlinear topology optimization using bi-directional evolutionary structural optimization method	28
A surrogate model with data augmentation and deep transfer learning for temperature field prediction of heat source layout	28
Multi-objective optimization design of B-pillar and rocker sub-systems of battery electric vehicle	28
AuTO: a framework for Automatic differentiation in Topology Optimization	27
Achieving machining effectiveness for AISI 1015 structural steel through coated inserts and grey-fuzzy coupled Taguchi optimization approach	26
An adaptive PCE-HDMR metamodeling approach for high-dimensional problems	26
On benchmarking and good scientific practise in topology optimization	26
Multi-scale topology optimization for stiffness and de-homogenization using implicit geometry modeling	25
Topology optimization for the design of porous electrodes	25
IgaTop: an implementation of topology optimization for structures using IGA in MATLAB	24
Topology optimization of self-supporting infill structures	24
Lightweight design of variable-angle filament-wound cylinders combining Kriging-based metamodels with particle swarm optimization	24
Self-connected multi-domain topology optimization of structures with multiple dissimilar microstructures	24
Improving connectivity and accelerating multiscale topology optimization using deep neural network techniques	24
Multi-fidelity modeling with different input domain definitions using deep Gaussian processes	24
Design of adaptive structures through energy minimization: extension to tensegrity	23
Clustering-based concurrent topology optimization with macrostructure, components, and materials	23
Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review	23
An integrated multi-objective topology optimization method for automobile wheels made of lightweight materials	23
A multi-fidelity surrogate model based on moving least squares: fusing different fidelity data for engineering design	23
Explicit structural topology optimization using moving wide Bezier components with constrained ends	22
Multi-objective optimization of process parameters in stamping based on an improved RBM–BPNN network and MOPSO algorithm	22
A survey of machine learning techniques in structural and multidisciplinary optimization	22
Bayesian topology optimization for efficient design of origami folding structures	22
Multi-objective optimization on diffuser of multistage centrifugal pump base on ANN-GA	21
Springback optimization of deep drawing process based on FEM-ANN-PSO strategy	21
Optimization design of metamaterial vibration isolator with honeycomb structure based on multi-fidelity surrogate model	21
In silico biomechanical design of the metal frame of transcatheter aortic valves: multi-objective shape and cross-sectional size optimization	21
A deep reinforcement learning framework for life-cycle maintenance planning of regional deteriorating bridges using inspection data	21
Simultaneous isotropic and anisotropic multi-material topology optimization for conceptual-level design of aerospace components	21
Topology optimization of fluid flow by using Integer Linear Programming	20
Topology optimization and 3D printing of large deformation compliant mechanisms for straining biological tissues	20
LayOpt: an educational web-app for truss layout optimization	20
Toward multiphysics multiscale concurrent topology optimization for lightweight structures with high heat conductivity and high stiffness using MATLAB	20
Fully and semi-automated shape differentiation in NGSolve	19
Accelerated topology optimization design of 3D structures based on deep learning	19
An efficient semi-analytical extreme value method for time-variant reliability analysis	19
Hierarchical structure optimization with parameterized lattice and multiscale finite element method	19

Data-driven topology design using a deep generative model	19
An integrated multi-objective optimization method with application to train crashworthiness design	19
Topology optimization for additive manufacturing with self-supporting constraint	19
A reinforcement learning hyper-heuristic in multi-objective optimization with application to structural damage identification	18
Combined parameterization of material distribution and surface mesh for stiffener layout optimization of complex surfaces	18
Crashworthiness optimization of cylindrical negative Poisson’s ratio structures with inner liner tubes	18
Topological constraints in 2D structural topology optimization	18
Time-variant reliability analysis using moment-based equivalent Gaussian process and importance sampling	18
A novel p-harmonic descent approach applied to fluid dynamic shape optimization	18
Metamodel-based subset simulation adaptable to target computational capacities: the case for high-dimensional and rare event reliability analysis	18
A machine learning accelerated inverse design of underwater acoustic polyurethane coatings	18
Non-probabilistic uncertain inverse problem method considering correlations for structural parameter identification	18
Topology optimization of turbulent fluid flow via the TOBS method and a geometry trimming procedure	18
Design of stiffened panels for stress and buckling via topology optimization	18
Structural stability and artificial buckling modes in topology optimization	18
Topology optimization for fail-safe designs using moving morphable components as a representation of damage	17
Bi-directional evolutionary stress-based topology optimization of material nonlinear structures	17
Generative design of stiffened plates based on homogenization method	17
Preliminary design of an injection-molded recycled-carbon fiber–reinforced plastic/metal hybrid automotive structure via combined optimization techniques	17
High natural frequency gap topology optimization of bi-material elastic structures and band gap analysis	17
Using blade element momentum methods with gradient-based design optimization	17
Revisiting Bayesian optimization in the light of the COCO benchmark	17
Vibration-based damage detection of structures employing Bayesian data fusion coupled with TLBO optimization algorithm	17
Heat transfer analysis of an inclined longitudinal porous fin of trapezoidal, rectangular and dovetail profiles using cascade neural networks	17
An effective Kriging-based approximation for structural reliability analysis with random and interval variables	17
TopADD: a 2D/3D integrated topology optimization parallel-computing framework for arbitrary design domains	17
Design of graded porous bone-like structures via a multi-material topology optimization approach	17
Optimal Sensor Placement Considering Both Sensor Faults Under Uncertainty and Sensor Clustering for Vibration-Based Damage Detection	17
MATLAB implementations of velocity field level set method for topology optimization: an 80-line code for 2D and a 100-line code for 3D problems	17
Practical metamodel-assisted multi-objective design optimization for improved sustainability and buildability of wind turbine foundations	17
Robust optimization of engineering structures involving hybrid probabilistic and interval uncertainties	16
mfEGRA: Multifidelity efficient global reliability analysis through active learning for failure boundary location	16
Buckling-constrained topology optimization using feature-driven optimization method	16
Support vector machine-based importance sampling for rare event estimation	16
Isogeometric sizing and shape optimization of 3D beams and lattice structures at large deformations	16
Surface smoothing for topological optimized 3D models	16
Topology optimization of planar cooling channels using a three-layer thermofluid model in fully developed laminar flow problems	16
Crushing analysis and multiobjective crashworthiness optimization of combined shrinking circular tubes under impact loading	16
Energy absorption design for crash energy management passenger trains based on scaled model	16
Some considerations on multi-material topology optimization using ordered SIMP	16
A synergic topology optimization approach on distribution of cooling channels and diverse-intensity heat sources for liquid-cooled heat sink	16
An efficient method for shape and topology optimization of shell structures	16
Multi-stage deep neural network accelerated topology optimization	16
Adaptive multi-fidelity sparse polynomial chaos-Kriging metamodeling for global approximation of aerodynamic data	16
An enhanced finite step length method for structural reliability analysis and reliability-based design optimization	16
Multi-objective equilibrium optimizer slime mould algorithm and its application in solving engineering problems	16
An interface-enriched generalized finite element method for level set-based topology optimization	16
The difference-based equivalent static load method: an improvement of the ESL method’s nonlinear approximation quality	15
A bilayer optimization strategy of optimal sensor placement for parameter identification under uncertainty	15
Topology optimization of multiple-barrier synchronous reluctance motors with initial random hollow circles	15
Topological control for 2D minimum compliance topology optimization using SIMP method	15
An empirical study on stress-based fail-safe topology optimization and multiple load path design	15
A robust dynamic unified multi-material topology optimization method for functionally graded structures	15
Non-probabilistic reliability-based robust design of micro-scale topology optimization (NRRD-MTO) for structural vibro-acoustic problem under harmonic excitation and natural frequency constraints	15
Designing lightweight diesel engine alternator support bracket with topology optimization methodology	15
A box moments approach for the time-variant hybrid reliability assessment	15
Design of metamaterial mechanisms using robust topology optimization and variable linking scheme	15
Structural uncertainty analysis with the multiplicative dimensional reduction–based polynomial chaos expansion approach	15
A unified simultaneous shape and topology optimization method for multi-material laminated shell structures	15
On approaches for avoiding low-stiffness regions in variable thickness sheet and homogenization-based topology optimization	14
A novel hr-adaptive mesh refinement scheme for stress-constrained shape and topology optimization using level-set-based trimmed meshes	14
An efficient polynomial chaos-enhanced radial basis function approach for reliability-based design optimization	14
A multidisciplinary design optimization for conceptual design of hybrid-electric aircraft	14
Data-driven prognostics with low-fidelity physical information for digital twin: physics-informed neural network	14
Topology optimization of stiff structures under self-weight for given volume using a smooth Heaviside function	14
An adaptive RBF neural network–based multi-objective optimization method for lightweight and crashworthiness design of cab floor rails using fuzzy subtractive clustering algorithm	14
Multidisciplinary topology optimization incorporating process-structure-property-performance relationship of additive manufacturing	14
Compliance-based topology optimization of structural components subjected to thermo-mechanical loading	14
Reliability-based multi-objective optimization in tunneling alignment under uncertainty	14
A 172-line Matlab code for structural topology optimization in the body-fitted mesh	14
Topology Optimization of 3D-printed joints under crash loads using Evolutionary Algorithms	14
Multiscale thermal and thermo-structural optimization of three-dimensional lattice structures	14
Microstructural topology optimization for patch-based sandwich panel with desired in-plane thermal expansion and structural stiffness	14
Multi-material and strength-oriented microstructural topology optimization applied to discrete phase and functionally graded materials	13
Sensitivity analysis and optimization of a CO2 centrifugal compressor impeller with a vaneless diffuser	13
Overhang control in topology optimization: a comparison of continuous front propagation-based and discrete layer-by-layer overhang control	13
A component-based method for the optimization of stiffener layout on large cylindrical rib-stiffened shell structures	13
Design of cellular materials for multiscale topology optimization: application to patient-specific orthopedic devices	13
Simultaneous optimization approach for combined control–structural design versus the conventional sequential optimization method	13
A simple MATLAB draping code for fiber-reinforced composites with application to optimization of manufacturing process parameters	13

Local stress constraints in topology optimization of structures subjected to arbitrary dynamic loads: a stress aggregation-free approach	13
A multi-fidelity Bayesian optimization approach based on the expected further improvement	13
A methodology for design optimization of powertrain mounting systems involving hybrid interval-random uncertainties	13
Minimization of maximal von Mises stress in porous composite microstructures using shape and topology optimization	13
A multi-fidelity surrogate modeling method based on variance-weighted sum for the fusion of multiple non-hierarchical low-fidelity data	13
Data-driven geometry-based topology optimization	13
Robust adaptive topology optimization of porous infills under loading uncertainties	13
Bi-directional evolutionary structural optimization with buckling constraints	13
Natural laminar flow wing optimization using a discrete adjoint approach	12
Topology optimization of non-Fourier heat conduction problems considering global thermal dissipation energy minimization	12
Topology optimization with automated derivative computation for multidisciplinary design problems	12
Multiscale structural optimization with concurrent coupling between scales	12
Robust design optimization under dependent random variables by a generalized polynomial chaos expansion	12
Topology optimization using PETSc: a Python wrapper and extended functionality	12
An efficient Kriging-based framework for computationally demanding constrained structural optimization problems	12
Optimal sensor placement based on dynamic condensation using multi-objective optimization algorithm	12
Topology optimization of subsonic compressible flows	12
Topology optimization of an acoustic diode?	12
Multiscale design of functionally graded cellular structures for additive manufacturing using level-set descriptions	12
Fully adaptive isogeometric topology optimization using MMC based on truncated hierarchical B-splines	12
Updated weight method: an optimisation-based form-finding method of tensile membrane structures	12
On stress-constrained fail-safe structural optimization considering partial damage	12
Flow resistance optimization of link lever butterfly valve based on combined surrogate model	11
Multi-material gradient-free proportional topology optimization analysis for plates with variable thickness	11
A multi-scale discrete material optimization model for optimization of structural topology and material orientations to minimize dynamic compliance	11
Inverse uncertainty quantification for imprecise structure based on evidence theory and similar system analysis	11
Structure bionic design method oriented to integration of biological advantages	11
Matching of multiple aerodynamic parameters for railway train/tunnel systems to ensure critical airtightness performance of high-speed trains	11
Multiphysics design of programmable shape-memory alloy-based smart structures via topology optimization	11
A conservative multi-fidelity surrogate model-based robust optimization method for simulation-based optimization	11
Performance-based control co-design of building structures with controlled rocking steel braced frames via neural dynamic model	11
A well connected, locally-oriented and efficient multi-scale topology optimization (EMTO) strategy	11
Kriging-based reliability analysis considering predictive uncertainty reduction	11
aphBO-2GP-3B: a budgeted asynchronous parallel multi-acquisition functions for constrained Bayesian optimization on high-performing computing architecture	11
Hierarchical optimization of a novel vehicle door system under side impact based on integrated weighting method	11
A detailed introduction to density-based topology optimisation of fluid flow problems with implementation in MATLAB	11
Surrogate-based stochastic optimization of horizontal-axis wind turbine composite blades	11
A hierarchical kriging approach for multi-fidelity optimization of automotive crashworthiness problems	11
Homogenization in a simpler way: analysis and optimization of periodic unit cells with Cauchy–Born hypothesis	11
Optimal and adaptive lattice design considering process-induced material anisotropy and geometric inaccuracy for additive manufacturing	11
Topology optimization in quasi-static plasticity with hardening using a level-set method	11
A maximum-rectifier-function approach to stress-constrained topology optimization	11
Applications of multi-fidelity multi-output Kriging to engineering design optimization	11
Inverse design of planar morphing scissor structures with end constraints	10
Simultaneous optimization of stiffener layout of 3D box structure together with attached tuned mass dampers under harmonic excitations	10
Multi-objective topology optimization of pin-fin heat exchangers using spectral and finite-element methods	10
On preventing the dripping effect of overhang constraints in topology optimization for additive manufacturing	10
Multi-material topology optimization considering isotropic and anisotropic materials combination	10
Kriging-based optimization of functionally graded structures	10
Topology optimization with advanced CNN using mapped physics-based data	10
A hybrid MCDM-based optimization method for cutting-type energy-absorbing structures of subway vehicles	10
Multi-objective aerodynamic optimization of high-speed train heads based on the PDE parametric modeling	10
Parallel multi-fidelity expected improvement method for efficient global optimization	10
Controlling local overheating in topology optimization for additive manufacturing	10
On kernel functions for bi-fidelity Gaussian process regressions	10
A coupled adaptive radial-based importance sampling and single-loop Kriging surrogate model for time-dependent reliability analysis	10
A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties	10
Topology optimization of compliant mechanisms and structures subjected to design-dependent pressure loadings	10
Topology optimization of multiple-rocking concentrically braced frames subjected to earthquakes	10
Weight reduction design of multi-material vehicle components using level set-based topology optimization	10
SCGAN: stacking-based generative adversarial networks for multi-fidelity surrogate modeling	10
Length scale control for high-resolution three-dimensional level set–based topology optimization	10
Vibration-based damage detection in anisotropic laminated composite beams by a shear-deformable finite element and harmony search optimization	10
Multi-material optimization design for mesh reflector antennas considering space thermal effects	10
Topological derivative-based topology optimization of structures subject to self-weight loading	10
A multi-material topology optimization method based on the material-field series-expansion model	10
Structural optimization under dynamic reliability constraints utilizing probability density evolution method and metamodels in augmented input space	10
A general optimization strategy for composite sandwich structures	10
Reliability-based design optimization under dependent random variables by a generalized polynomial chaos expansion	10
Reducing the number of different members in truss layout optimization	10
Coupled topology and shape optimization using an embedding domain discretization method	10
Alternating optimization of design and stress for stress-constrained topology optimization	10
Phononic band gap optimization in truss-like cellular structures using smooth P-norm approximations	10
Topology and alignment optimization of additively manufactured, fiber-reinforced composites	10
Simultaneous optimization of topology and print orientation for transversely isotropic fatigue	10
Structural topology optimization using a level set method with finite difference updating scheme	10
Multi-objective uncertain optimization with an ellipsoid-based model of a centrally symmetrical square tube with diaphragms for subways	10
Concurrent topology optimization of multi-scale cooling channels with inlets and outlets	10
Maximizing the performance of pump inducers using CFD-based multi-objective optimization	10
Concurrent high-resolution topology optimization of structures and their supports for additive manufacturing	10
Geometric design of friction ring dampers in blisks using nonlinear modal analysis and Kriging surrogate model	10
Fireshape: a shape optimization toolbox for Firedrake	10
Remixing functionally graded structures: data-driven topology optimization with multiclass shape blending	10
Multi-scale topology optimization for minimizing structural compliance of cellular composites with connectable graded microstructures	9
A two-stage point selection strategy for probability density evolution method-based reliability analysis	9
Topology optimization guided by a geometrical pattern library	9
Concurrent shape optimization of a multiscale structure for controlling macrostructural stiffness	9
Finite periodic topology optimization with oriented unit-cells	9
Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator	9
CPU parallel-based adaptive parameterized level set method for large-scale structural topology optimization	9
Multi-objective seismic design of BRBs-reinforced concrete buildings using genetic algorithms	9
Seismic fragility analysis of deteriorated bridge structures employing a UAV inspection-based updated digital twin	9
Aerostructural topology optimization using high fidelity modeling	9
Multi-objective optimal sizing of energy dissipative steel cushions for longitudinal loading	9
Enabling large-scale multidisciplinary design optimization through adjoint sensitivity analysis	9