Structural and Multidisciplinary Optimization

Article	Citations
Topology optimization of multi-scale structures: a review	220
A new generation 99 line Matlab code for compliance topology optimization and its extension to 3D	124
TOuNN: Topology Optimization using Neural Networks	91
A comprehensive review of digital twin — part 1: modeling and twinning enabling technologies	77
A review on feature-mapping methods for structural optimization	73
Evidence theory-based reliability optimization for cross-scale topological structures with global stress, local displacement, and micro-manufacturing constraints	62
A comprehensive review of educational articles on structural and multidisciplinary optimization	56
Crashworthiness design and multi-objective optimization of a novel auxetic hierarchical honeycomb crash box	54
On the use of artificial neural networks in topology optimisation	52
Topology optimization with local stress constraints: a stress aggregation-free approach	48
Subset simulation with adaptable intermediate failure probability for robust reliability analysis: an unsupervised learning-based approach	47
Integrating deep learning into CAD/CAE system: generative design and evaluation of 3D conceptual wheel	47
An efficient multi-objective optimization method based on the adaptive approximation model of the radial basis function	46
The heat source layout optimization using deep learning surrogate modeling	45
PolyStress: a Matlab implementation for local stress-constrained topology optimization using the augmented Lagrangian method	45
Topology optimization of a cable-driven soft robotic gripper	44
Structural topology optimization with smoothly varying fiber orientations	42
Two-stage convolutional encoder-decoder network to improve the performance and reliability of deep learning models for topology optimization	42
Three-dimensional topology optimization of thermal-fluid-structural problems for cooling system design	42
Modeling, analysis, and optimization under uncertainties: a review	40
A generalized hierarchical co-Kriging model for multi-fidelity data fusion	39
Topology optimization in concrete construction: a systematic review on numerical and experimental investigations	38
A general fidelity transformation framework for reliability-based design optimization with arbitrary precision	37
An active-learning method based on multi-fidelity Kriging model for structural reliability analysis	37
Accelerating gradient-based topology optimization design with dual-model artificial neural networks	36

Topology optimization with linearized buckling criteria in 250 lines of Matlab	36
Design of one-dimensional acoustic metamaterials using machine learning and cell concatenation	35
Efficient adaptive Kriging-based reliability analysis combining new learning function and error-based stopping criterion	35
A comprehensive review of digital twin—part 2: roles of uncertainty quantification and optimization, a battery digital twin, and perspectives	34
Variable-fidelity probability of improvement method for efficient global optimization of expensive black-box problems	34
Reliability-based design optimization for RV reducer with experimental constraint	34
First-order reliability method based on Harris Hawks Optimization for high-dimensional reliability analysis	34
Flexible-constrained time-variant hybrid reliability-based design optimization	34
An efficient and easy-to-extend Matlab code of the Moving Morphable Component (MMC) method for three-dimensional topology optimization	32
Structural reliability analysis via dimension reduction, adaptive sampling, and Monte Carlo simulation	32
Multi-objective Bayesian topology optimization of a lattice-structured heat sink in natural convection	32
Data-driven design exploration method using conditional variational autoencoder for airfoil design	32
Topology optimization of vibrating structures with frequency band constraints	32
Second-order reliability methods: a review and comparative study	32
Topology optimization of binary structures under design-dependent fluid-structure interaction loads	31
A 101-line MATLAB code for topology optimization using binary variables and integer programming	31
Multidisciplinary design optimization of underwater glider for improving endurance	31
Structural optimization considering dynamic reliability constraints via probability density evolution method and change of probability measure	31
Crushing stress and vibration fatigue-life optimization of a battery-pack system	30
An ANSYS APDL code for topology optimization of structures with multi-constraints using the BESO method with dynamic evolution rate (DER-BESO)	30
Strength and mass optimisation of variable-stiffness composites in the polar parameters space	30
Multi-objective constrained Bayesian optimization for structural design	30
Crashworthiness analysis and optimization of standard and windowed multi-cell hexagonal tubes	30
An adaptive polynomial chaos expansion for high-dimensional reliability analysis	29
An improved multi-objective topology optimization model based on SIMP method for continuum structures including self-weight	28
Application of state-of-the-art multiobjective metaheuristic algorithms in reliability-based design optimization: a comparative study	28
Stiffener layout optimization of shell structures with B-spline parameterization method	27
Topology optimization under uncertainty using a stochastic gradient-based approach	26
Effect of normalization techniques in multi-criteria decision making methods for the design of ship internal layout from a Pareto optimal set	26
Data-driven modelling and optimization of stiffeners on undevelopable curved surfaces	26
Topology optimization of periodic barriers for surface waves	26
Surrogate modeling: tricks that endured the test of time and some recent developments	25
AuTO: a framework for Automatic differentiation in Topology Optimization	25
PolyDyna: a Matlab implementation for topology optimization of structures subjected to dynamic loads	25
Singularity aware de-homogenization for high-resolution topology optimized structures	25
Efficient time-variant reliability analysis through approximating the most probable point trajectory	24
Multi-objective optimization of multi-directional functionally graded beams using an effective deep feedforward neural network-SMPSO algorithm	24
Achieving machining effectiveness for AISI 1015 structural steel through coated inserts and grey-fuzzy coupled Taguchi optimization approach	24
Inverse design of microchannel fluid flow networks using Turing pattern dehomogenization	24
Continuous density-based topology optimization of cracked structures using peridynamics	24
Controlling the maximum first principal stress in topology optimization	24
An efficient 137-line MATLAB code for geometrically nonlinear topology optimization using bi-directional evolutionary structural optimization method	23
A systematic approach for multi-objective lightweight and stiffness optimization of a car body	23
An adaptive PCE-HDMR metamodeling approach for high-dimensional problems	23
Multi-grid reduced-order topology optimization	23
An 89-line code for geometrically nonlinear topology optimization written in FreeFEM	23
Multi-objective optimization design of B-pillar and rocker sub-systems of battery electric vehicle	23
A machine learning based optimization method towards removing undesired deformation of energy-absorbing structures	22
Digital Twin in smart manufacturing: remote control and virtual machining using VR and AR technologies	22
Multi-fidelity modeling with different input domain definitions using deep Gaussian processes	22

A multi-fidelity surrogate model based on moving least squares: fusing different fidelity data for engineering design	22
Self-connected multi-domain topology optimization of structures with multiple dissimilar microstructures	22
IgaTop: an implementation of topology optimization for structures using IGA in MATLAB	21
A novel active learning reliability method combining adaptive Kriging and spherical decomposition-MCS (AK-SDMCS) for small failure probabilities	21
A surrogate model with data augmentation and deep transfer learning for temperature field prediction of heat source layout	21
Design of adaptive structures through energy minimization: extension to tensegrity	21
A model validation framework based on parameter calibration under aleatory and epistemic uncertainty	21
Explicit structural topology optimization using moving wide Bezier components with constrained ends	20
Improving connectivity and accelerating multiscale topology optimization using deep neural network techniques	20
Multidisciplinary design optimization for hybrid electric vehicles: component sizing and multi-fidelity frontal crashworthiness	20
Bayesian topology optimization for efficient design of origami folding structures	20
Multi-objective optimization of process parameters in stamping based on an improved RBM–BPNN network and MOPSO algorithm	20
Topology optimization of fluid flow by using Integer Linear Programming	20
Lightweight design of variable-angle filament-wound cylinders combining Kriging-based metamodels with particle swarm optimization	20
An integrated multi-objective topology optimization method for automobile wheels made of lightweight materials	20
Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review	20
An integrated multi-objective optimization method with application to train crashworthiness design	19
Topology design of two-fluid heat exchange	19
Time-variant reliability analysis via approximation of the first-crossing PDF	19
Topology optimization and 3D printing of large deformation compliant mechanisms for straining biological tissues	19
Topology optimization with nozzle size restrictions for material extrusion-type additive manufacturing	19
Clustering-based concurrent topology optimization with macrostructure, components, and materials	19
2D topology optimization MATLAB codes for piezoelectric actuators and energy harvesters	19
Multi-scale topology optimization for stiffness and de-homogenization using implicit geometry modeling	19
A multi-fidelity RBF surrogate-based optimization framework for computationally expensive multi-modal problems with application to capacity planning of manufacturing systems	19
Eigenfrequency constrained topology optimization of finite strain hyperelastic structures	19
Additive manufacturing scanning paths optimization using shape optimization tools	19
Lightweight optimization of passenger car seat frame based on grey relational analysis and optimized coefficient of variation	18
Adaptive level set topology optimization using hierarchical B-splines	18
Simultaneous isotropic and anisotropic multi-material topology optimization for conceptual-level design of aerospace components	18
Springback optimization of deep drawing process based on FEM-ANN-PSO strategy	18
A deep reinforcement learning framework for life-cycle maintenance planning of regional deteriorating bridges using inspection data	18
Topology optimization of self-supporting infill structures	18
Discrete variable topology optimization for compliant mechanism design via Sequential Approximate Integer Programming with Trust Region (SAIP-TR)	18
Three-dimensional adaptive mesh refinement in stress-constrained topology optimization	18
Development of an efficient global optimization method based on adaptive infilling for structure optimization	18
A novel p-harmonic descent approach applied to fluid dynamic shape optimization	18
Genetic algorithm-based inverse design of elastic gridshells	18
On benchmarking and good scientific practise in topology optimization	17
Data-driven topology design using a deep generative model	17
Topological-derivative-based design of stiff fiber-reinforced structures with optimally oriented continuous fibers	17
Efficient reliability-based robust design optimization of structures under extreme wind in dual response surface framework	17
Accelerated topology optimization design of 3D structures based on deep learning	17
Fully and semi-automated shape differentiation in NGSolve	17
Optimizing rail profiles to improve metro vehicle-rail dynamic performance considering worn wheel profiles and curved tracks	17
Metamodel-based subset simulation adaptable to target computational capacities: the case for high-dimensional and rare event reliability analysis	17
Optimization design of metamaterial vibration isolator with honeycomb structure based on multi-fidelity surrogate model	16
Multi-objective optimization on diffuser of multistage centrifugal pump base on ANN-GA	16
Multi-objective cross-sectional shape and size optimization of S-rail using hybrid multi-criteria decision-making method	16
New blending constraints and a stack-recovery strategy for the multi-scale design of composite laminates	16
Topology optimization of turbulent fluid flow via the TOBS method and a geometry trimming procedure	16
Generative design of stiffened plates based on homogenization method	16
An effective Kriging-based approximation for structural reliability analysis with random and interval variables	16
Robust optimization design of a flying wing using adjoint and uncertainty-based aerodynamic optimization approach	16
An efficient semi-analytical extreme value method for time-variant reliability analysis	16
Hierarchical structure optimization with parameterized lattice and multiscale finite element method	16
Optimal Sensor Placement Considering Both Sensor Faults Under Uncertainty and Sensor Clustering for Vibration-Based Damage Detection	16
Preliminary design of an injection-molded recycled-carbon fiber–reinforced plastic/metal hybrid automotive structure via combined optimization techniques	16
Novel implementation of extrusion constraint in topology optimization by Helmholtz-type anisotropic filter	16
Nature-inspired optimization of tubular joints for metal 3D printing	16
An interface-enriched generalized finite element method for level set-based topology optimization	16
Using blade element momentum methods with gradient-based design optimization	16
A general global-local modelling framework for the deterministic optimisation of composite structures	16
Topological constraints in 2D structural topology optimization	15
Non-probabilistic uncertain inverse problem method considering correlations for structural parameter identification	15
Design of graded porous bone-like structures via a multi-material topology optimization approach	15
Topology optimization of multiple-barrier synchronous reluctance motors with initial random hollow circles	15
LayOpt: an educational web-app for truss layout optimization	15
Design optimization of variable stiffness composites by using multi-fidelity surrogate models	15
The difference-based equivalent static load method: an improvement of the ESL method’s nonlinear approximation quality	15
Time-variant reliability analysis using moment-based equivalent Gaussian process and importance sampling	15
An active learning Kriging-assisted method for reliability-based design optimization under distributional probability-box model	15
Support vector machine-based importance sampling for rare event estimation	15
Crashworthiness optimization of cylindrical negative Poisson’s ratio structures with inner liner tubes	15
In silico biomechanical design of the metal frame of transcatheter aortic valves: multi-objective shape and cross-sectional size optimization	15
Topology optimization of planar cooling channels using a three-layer thermofluid model in fully developed laminar flow problems	15
Compositional kernel learning using tree-based genetic programming for Gaussian process regression	15
Heat transfer analysis of an inclined longitudinal porous fin of trapezoidal, rectangular and dovetail profiles using cascade neural networks	15
Toward multiphysics multiscale concurrent topology optimization for lightweight structures with high heat conductivity and high stiffness using MATLAB	15
Intelligent initial point selection for MPP search in reliability-based design optimization	15

Structural stability and artificial buckling modes in topology optimization	15
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	14
Isogeometric sizing and shape optimization of 3D beams and lattice structures at large deformations	14
A unified simultaneous shape and topology optimization method for multi-material laminated shell structures	14
Topology optimization for fail-safe designs using moving morphable components as a representation of damage	14
Model-based, multi-material topology optimization taking into account cost and manufacturability	14
Energy absorption design for crash energy management passenger trains based on scaled model	14
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	14
Multi-objective global optimum design of collaborative robots	14
An empirical study on stress-based fail-safe topology optimization and multiple load path design	14
Design space exploration and optimization using self-organizing maps	14
Revisiting Bayesian optimization in the light of the COCO benchmark	14
Design of metamaterial mechanisms using robust topology optimization and variable linking scheme	14
Topology optimization for additive manufacturing with self-supporting constraint	14
Topology optimization of stiff structures under self-weight for given volume using a smooth Heaviside function	14
Probabilistic optimisation of mono-stringer composite stiffened panels in post-buckling regime	14
Topology optimization for the design of porous electrodes	14
Vibration-based damage detection of structures employing Bayesian data fusion coupled with TLBO optimization algorithm	14
A novel hr-adaptive mesh refinement scheme for stress-constrained shape and topology optimization using level-set-based trimmed meshes	13
An efficient and robust adaptive Kriging for structural reliability analysis	13
Adaptive multi-fidelity sparse polynomial chaos-Kriging metamodeling for global approximation of aerodynamic data	13
High natural frequency gap topology optimization of bi-material elastic structures and band gap analysis	13
Topology optimization for designing periodic microstructures based on finite strain viscoplasticity	13
Design of cellular materials for multiscale topology optimization: application to patient-specific orthopedic devices	13
A box moments approach for the time-variant hybrid reliability assessment	13
Robust optimization of engineering structures involving hybrid probabilistic and interval uncertainties	13
Multi-stage deep neural network accelerated topology optimization	13
A survey of machine learning techniques in structural and multidisciplinary optimization	13
Reliability-based multi-objective optimization in tunneling alignment under uncertainty	13
Robust adaptive topology optimization of porous infills under loading uncertainties	13
A machine learning accelerated inverse design of underwater acoustic polyurethane coatings	13
Crushing analysis and multiobjective crashworthiness optimization of combined shrinking circular tubes under impact loading	13
An efficient polynomial chaos-enhanced radial basis function approach for reliability-based design optimization	13
An enhanced finite step length method for structural reliability analysis and reliability-based design optimization	13
Data-driven geometry-based topology optimization	13
An efficient method for shape and topology optimization of shell structures	13
Parametric optimization for morphing structures design: application to morphing wings adapting to changing flight conditions	12
Efficient hybrid topology and shape optimization combining implicit and explicit design representations	12
Towards an efficient global multidisciplinary design optimization algorithm	12
A robust dynamic unified multi-material topology optimization method for functionally graded structures	12
Topology Optimization of 3D-printed joints under crash loads using Evolutionary Algorithms	12
A multidisciplinary design optimization for conceptual design of hybrid-electric aircraft	12
Probability-damage approach for fail-safe design optimization (PDFSO)	12
On speeding up an asymptotic-analysis-based homogenisation scheme for designing gradient porous structured materials using a zoning strategy	12
Practical metamodel-assisted multi-objective design optimization for improved sustainability and buildability of wind turbine foundations	12
A methodology for design optimization of powertrain mounting systems involving hybrid interval-random uncertainties	12
A synergic topology optimization approach on distribution of cooling channels and diverse-intensity heat sources for liquid-cooled heat sink	12
Multidisciplinary multi-objective design optimization of an active morphing wing section	12
Study on the influence of key design parameters on lubrication characteristics of a novel gear system applying Taguchi method	12
Multidisciplinary topology optimization incorporating process-structure-property-performance relationship of additive manufacturing	12
Sensitivity analysis and optimization of a CO2 centrifugal compressor impeller with a vaneless diffuser	12
Design of stiffened panels for stress and buckling via topology optimization	12
Design optimization of real-size steel frames using monitored convergence curve	12
Structural uncertainty analysis with the multiplicative dimensional reduction–based polynomial chaos expansion approach	12
Topological control for 2D minimum compliance topology optimization using SIMP method	12
Direct lagrange multiplier updates in topology optimization revisited	12
A probability feasible region enhanced important boundary sampling method for reliability-based design optimization	12
mfEGRA: Multifidelity efficient global reliability analysis through active learning for failure boundary location	12
Aerodynamic-driven topology optimization of compliant airfoils	12
Combined parameterization of material distribution and surface mesh for stiffener layout optimization of complex surfaces	12
Concurrent optimization of the internal flow channel, inlets, and outlets in forced convection heat sinks	12
Optimisation of polymer spur gear pairs with experimental validation	12
Topology optimization of structures under design-dependent pressure loads by a boundary identification-load evolution (BILE) model	12
Local stress constraints in topology optimization of structures subjected to arbitrary dynamic loads: a stress aggregation-free approach	11
Structural design and optimization of a novel shimmy damper for nose landing gears	11
A multi-fidelity Bayesian optimization approach based on the expected further improvement	11
Simultaneous optimization approach for combined control–structural design versus the conventional sequential optimization method	11
A hierarchical kriging approach for multi-fidelity optimization of automotive crashworthiness problems	11
Truss geometry and topology optimization with global stability constraints	11
Data-driven prognostics with low-fidelity physical information for digital twin: physics-informed neural network	11
Kriging-based reliability analysis considering predictive uncertainty reduction	11
An efficient algorithm for time-dependent failure credibility by combining adaptive single-loop Kriging model with fuzzy simulation	11
Topology optimization for harmonic vibration problems using a density-weighted norm objective function	11
Overhang control in topology optimization: a comparison of continuous front propagation-based and discrete layer-by-layer overhang control	11
Multi-objective equilibrium optimizer slime mould algorithm and its application in solving engineering problems	11
Uncertainty quantification and global sensitivity analysis for progressive failure of fiber-reinforced composites	11
An adaptive RBF neural network–based multi-objective optimization method for lightweight and crashworthiness design of cab floor rails using fuzzy subtractive clustering algorithm	11
A reinforcement learning hyper-heuristic in multi-objective optimization with application to structural damage identification	11
Design for additive manufacturing: 3D simultaneous topology and build orientation optimization	11
Topology optimization of subsonic compressible flows	11
Optimization of beam profiles for improved piezoelectric energy harvesting efficiency	11
Lightweight design of a bolt-flange sealing structure based on topology optimization	11
A component-based method for the optimization of stiffener layout on large cylindrical rib-stiffened shell structures	11
On approaches for avoiding low-stiffness regions in variable thickness sheet and homogenization-based topology optimization	11
Surface smoothing for topological optimized 3D models	11
Topology optimization of 2D in-plane single mass MEMS gyroscopes	11
Bi-directional evolutionary stress-based topology optimization of material nonlinear structures	11
On stress-constrained fail-safe structural optimization considering partial damage	11
Optimal sensor placement based on dynamic condensation using multi-objective optimization algorithm	11
Multiscale structural optimization with concurrent coupling between scales	11
Natural laminar flow wing optimization using a discrete adjoint approach	11
Some considerations on multi-material topology optimization using ordered SIMP	10
Maximizing the performance of pump inducers using CFD-based multi-objective optimization	10
A multi-fidelity surrogate modeling method based on variance-weighted sum for the fusion of multiple non-hierarchical low-fidelity data	10
Multi-objective uncertain optimization with an ellipsoid-based model of a centrally symmetrical square tube with diaphragms for subways	10