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References from A data-driven surrogate model and its test validation for mechanical response analysis of air-supported membrane structures. Local targets link to admitted publications; unresolved targets remain external evidence.
Physics-informed deep operator networks with stiffness-based loss functions for structural response prediction
10.1016/j.engappai.2025.110097 · 2025 · External reference
Application of the POD method to nonlinear dynamic analysis of reinforced concrete frame structures subjected to earthquakes
10.1016/j.engstruct.2022.114854 · 2022 · External reference
The proper orthogonal decomposition in the analysis of turbulent flows
10.1146/annurev.fl.25.010193.002543 · 1993 · External reference
A numerical method to optimize the design of a space inflatable membrane reflector
10.1016/j.actaastro.2011.12.009 · 2012 · External reference
Deep neural operators can predict the real-time response of floating offshore structures under irregular waves
10.1016/j.compstruc.2023.107228 · 2024 · External reference
Unresolved reference
2015 · External reference
An introduction to the proper orthogonal decomposition
2000 · External reference
Interference effects on the wind loads and wind-induced responses of parallel-arranged rectangular-planed air-supported membrane structures
10.1016/j.tws.2024.111572 · 2024 · External reference
A new artificial neural network-based response surface method for structural reliability analysis
10.1016/j.probengmech.2007.10.003 · 2008 · External reference
Optimized gore/seam cable actuated shape control of gossamer membrane reflectors
10.2514/1.25109 · 2007 · External reference
Prediction of wind loads on high-rise building using a BP neural network combined with POD
10.1016/j.jweia.2017.07.021 · 2017 · External reference
A hybrid reduced-order model for dynamic analysis of self-deployable shell-membrane structures
10.1016/j.tws.2025.113730 · 2025 · External reference
DynNet: physics-based neural architecture design for nonlinear structural response modeling and prediction
2021 · External reference
Evaluation on effects of air inflow on indoor environment in an air-supported membrane coal-shed building
10.1016/j.enbuild.2024.115244 · 2025 · External reference
Neural network-based prediction of wind-induced responses in large-span air-supported membrane structures
10.1016/j.tws.2024.112892 · 2025 · External reference
Real-time internal pressure prediction in air-supported membrane structures using a modified ideal gas law and neural networks
10.1016/j.engappai.2025.112748 · 2025 · External reference
Nonlinear finite element model updating and fourier neural operator for digital twin of reinforced concrete containment vessel under seismic excitations
10.1016/j.engstruct.2024.119234 · 2025 · External reference
Unresolved reference
External reference
Minimal surfaces for finding forms of structural membranes
10.1016/0045-7949(88)90303-3 · 1988 · External reference
Theory and finite element formulation of rubberlike membrane shells using principal stretches
10.1002/nme.1620350511 · 1992 · External reference
Unresolved reference
1972 · External reference
Sequential deep operator networks (s-deeponet) for predicting full-field solutions under time-dependent loads
10.1016/j.engappai.2023.107258 · 2024 · External reference
Influence of different cable-membrane connection models on wind-induced responses of an air supported membrane structure with orthogonal cable net
10.1016/j.tws.2022.109840 · 2022 · External reference
Safety and serviceability of membrane buildings: a critical review on architectural, material and structural performance
10.1016/j.engstruct.2020.110292 · 2020 · External reference
Structural properties of air-supported structures
10.1177/026635118700200401 · 1987 · External reference
Physics-informed neural networks for the form-finding of tensile membranes by solving the Euler-Lagrange equation of minimal surfaces
10.1016/j.tws.2022.110309 · 2023 · External reference
Form-finding of tensile membrane structures with strut and anchorage supports using physics-informed machine learning
10.1016/j.engstruct.2023.117093 · 2024 · External reference
Physics-informed extreme learning machine for rapid form-finding of frame-supported lightweight tensile membrane structures
10.1016/j.mechrescom.2025.104419 · 2025 · External reference
The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
10.1007/s11071-005-2803-2 · 2005 · External reference
Unresolved reference
2012 · External reference
Nonlinear force density method for the form-finding of minimal surface membrane structures
10.1016/j.cnsns.2013.10.023 · 2014 · External reference
Stable minimal surfaces in form-finding of lightweight tension structures
10.1177/026635119300800301 · 1993 · External reference
Numerical analysis of fluid-structure interaction in open and closed saddle‐shaped membrane structures: a new framework based on vortex dynamics
10.1002/fld.70059 · 2026 · External reference
Study on fluid-structure interaction of closed-type saddle membrane structure based on PIV technology
10.1016/j.engstruct.2025.121776 · 2026 · External reference
How to understand 'Structural Morphology'
2016 · External reference
Investigation on multi-mode coupling effects in wind-structure interaction of tension membrane structures using fully-coupled numerical simulation
10.1016/j.tws.2025.112993 · 2025 · External reference
Experimental and simulation analysis of the initial shape of a large-span air-supported membrane structure
10.1016/j.tws.2022.109491 · 2022 · External reference
Unresolved reference
2020 · External reference
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
10.1038/s42256-021-00302-5 · 2021 · External reference
Finite element method-enhanced neural network for forward and inverse problems: Meethal et al
10.1186/s40323-023-00243-1 · 2023 · External reference
A POD-based methodology for structural finite element model updating
2022 · External reference
Finite strains and displacements of elastic membranes by the finite element method
10.1016/0020-7683(67)90002-9 · 1967 · External reference
Seismic response prediction method for building structures using convolutional neural network
10.1002/stc.2519 · 2020 · External reference
Dynamic relaxation
1966 · External reference
The natural force density method for the shape finding of taut structures
10.1016/j.cma.2008.05.017 · 2008 · External reference
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
10.1016/j.jcp.2018.10.045 · 2019 · External reference
A review on artificial neural networks for structural analysis
10.1007/s42417-024-01749-7 · 2025 · External reference
Emerging artificial intelligence methods in structural engineering
10.1016/j.engstruct.2018.05.084 · 2018 · External reference
An artificial neural network framework for reduced order modeling of transient flows
10.1016/j.cnsns.2019.04.025 · 2019 · External reference
The force density method for form finding and computation of general networks
10.1016/0045-7825(74)90045-0 · 1974 · External reference
Dynamic relaxation study and experimental verification of dielectric-elastomer minimum-energy structures
10.1063/1.4826884 · 2013 · External reference
Fourier neural operator surrogate for automated stress conversion-based structural health monitoring of complex marine infrastructure
10.1016/j.autcon.2026.106836 · 2026 · External reference
Form finding and analysis of inflatable dams using dynamic relaxation
2015 · External reference
Prediction of wind load distribution for air-supported structures using neural networks
10.1139/l95-053 · 1995 · External reference
Unresolved reference
1998 · External reference
Analysis on aeroelastic stability of rectangular-planed air-supported membrane structures
10.1016/j.tws.2023.111416 · 2024 · External reference
POD–ANN as digital twins for surge line thermal stratification
10.1016/j.nucengdes.2024.113487 · 2024 · External reference
Recursive DeepONet for surrogate modelling of nonlinear dynamics and its application in real-time hybrid simulation
10.1016/j.engstruct.2025.120621 · 2025 · External reference
A newly developed integrated framework for the multi-objective optimization of air-supported membrane structures
2026 · External reference
Cable-membrane stiffness ratio effects on the load-bearing mechanism of air-supported membrane structures under internal pressure
10.1016/j.engstruct.2026.123060 · 2026 · External reference
A hybrid method based on proper orthogonal decomposition and deep neural networks for flow and heat field reconstruction
10.1016/j.eswa.2024.123137 · 2024 · External reference
Numerical analysis of fluid-structure interaction in open and closed saddle‐shaped membrane structures: a new framework based on vortex dynamics
10.1002/fld.70059 · ExternalCitation · doi-reference
Theory and finite element formulation of rubberlike membrane shells using principal stretches
10.1002/nme.1620350511 · ExternalCitation · doi-reference
Seismic response prediction method for building structures using convolutional neural network
10.1002/stc.2519 · ExternalCitation · doi-reference
The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
10.1007/s11071-005-2803-2 · ExternalCitation · doi-reference
A review on artificial neural networks for structural analysis
10.1007/s42417-024-01749-7 · ExternalCitation · doi-reference
Finite strains and displacements of elastic membranes by the finite element method
10.1016/0020-7683(67)90002-9 · ExternalCitation · doi-reference
The force density method for form finding and computation of general networks
10.1016/0045-7825(74)90045-0 · ExternalCitation · doi-reference
Minimal surfaces for finding forms of structural membranes
10.1016/0045-7949(88)90303-3 · ExternalCitation · doi-reference
A numerical method to optimize the design of a space inflatable membrane reflector
10.1016/j.actaastro.2011.12.009 · ExternalCitation · doi-reference
Fourier neural operator surrogate for automated stress conversion-based structural health monitoring of complex marine infrastructure
10.1016/j.autcon.2026.106836 · ExternalCitation · doi-reference
The natural force density method for the shape finding of taut structures
10.1016/j.cma.2008.05.017 · ExternalCitation · doi-reference
Nonlinear force density method for the form-finding of minimal surface membrane structures
10.1016/j.cnsns.2013.10.023 · ExternalCitation · doi-reference
An artificial neural network framework for reduced order modeling of transient flows
10.1016/j.cnsns.2019.04.025 · ExternalCitation · doi-reference
Deep neural operators can predict the real-time response of floating offshore structures under irregular waves
10.1016/j.compstruc.2023.107228 · ExternalCitation · doi-reference
Evaluation on effects of air inflow on indoor environment in an air-supported membrane coal-shed building
10.1016/j.enbuild.2024.115244 · ExternalCitation · doi-reference
Sequential deep operator networks (s-deeponet) for predicting full-field solutions under time-dependent loads
10.1016/j.engappai.2023.107258 · ExternalCitation · doi-reference
Physics-informed deep operator networks with stiffness-based loss functions for structural response prediction
10.1016/j.engappai.2025.110097 · ExternalCitation · doi-reference
Real-time internal pressure prediction in air-supported membrane structures using a modified ideal gas law and neural networks
10.1016/j.engappai.2025.112748 · ExternalCitation · doi-reference
Emerging artificial intelligence methods in structural engineering
10.1016/j.engstruct.2018.05.084 · ExternalCitation · doi-reference
Safety and serviceability of membrane buildings: a critical review on architectural, material and structural performance
10.1016/j.engstruct.2020.110292 · ExternalCitation · doi-reference
Application of the POD method to nonlinear dynamic analysis of reinforced concrete frame structures subjected to earthquakes
10.1016/j.engstruct.2022.114854 · ExternalCitation · doi-reference
Form-finding of tensile membrane structures with strut and anchorage supports using physics-informed machine learning
10.1016/j.engstruct.2023.117093 · ExternalCitation · doi-reference
Nonlinear finite element model updating and fourier neural operator for digital twin of reinforced concrete containment vessel under seismic excitations
10.1016/j.engstruct.2024.119234 · ExternalCitation · doi-reference
Recursive DeepONet for surrogate modelling of nonlinear dynamics and its application in real-time hybrid simulation
10.1016/j.engstruct.2025.120621 · ExternalCitation · doi-reference
Study on fluid-structure interaction of closed-type saddle membrane structure based on PIV technology
10.1016/j.engstruct.2025.121776 · ExternalCitation · doi-reference
Cable-membrane stiffness ratio effects on the load-bearing mechanism of air-supported membrane structures under internal pressure
10.1016/j.engstruct.2026.123060 · ExternalCitation · doi-reference
A hybrid method based on proper orthogonal decomposition and deep neural networks for flow and heat field reconstruction
10.1016/j.eswa.2024.123137 · ExternalCitation · doi-reference
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
10.1016/j.jcp.2018.10.045 · ExternalCitation · doi-reference
Prediction of wind loads on high-rise building using a BP neural network combined with POD
10.1016/j.jweia.2017.07.021 · ExternalCitation · doi-reference
Physics-informed extreme learning machine for rapid form-finding of frame-supported lightweight tensile membrane structures
10.1016/j.mechrescom.2025.104419 · ExternalCitation · doi-reference
POD–ANN as digital twins for surge line thermal stratification
10.1016/j.nucengdes.2024.113487 · ExternalCitation · doi-reference
A new artificial neural network-based response surface method for structural reliability analysis
10.1016/j.probengmech.2007.10.003 · ExternalCitation · doi-reference
Experimental and simulation analysis of the initial shape of a large-span air-supported membrane structure
10.1016/j.tws.2022.109491 · ExternalCitation · doi-reference
Influence of different cable-membrane connection models on wind-induced responses of an air supported membrane structure with orthogonal cable net
10.1016/j.tws.2022.109840 · ExternalCitation · doi-reference
Physics-informed neural networks for the form-finding of tensile membranes by solving the Euler-Lagrange equation of minimal surfaces
10.1016/j.tws.2022.110309 · ExternalCitation · doi-reference
Analysis on aeroelastic stability of rectangular-planed air-supported membrane structures
10.1016/j.tws.2023.111416 · ExternalCitation · doi-reference
Interference effects on the wind loads and wind-induced responses of parallel-arranged rectangular-planed air-supported membrane structures
10.1016/j.tws.2024.111572 · ExternalCitation · doi-reference
Neural network-based prediction of wind-induced responses in large-span air-supported membrane structures
10.1016/j.tws.2024.112892 · ExternalCitation · doi-reference
Investigation on multi-mode coupling effects in wind-structure interaction of tension membrane structures using fully-coupled numerical simulation
10.1016/j.tws.2025.112993 · ExternalCitation · doi-reference
A hybrid reduced-order model for dynamic analysis of self-deployable shell-membrane structures
10.1016/j.tws.2025.113730 · ExternalCitation · doi-reference
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
10.1038/s42256-021-00302-5 · ExternalCitation · doi-reference
Dynamic relaxation study and experimental verification of dielectric-elastomer minimum-energy structures
10.1063/1.4826884 · ExternalCitation · doi-reference
Prediction of wind load distribution for air-supported structures using neural networks
10.1139/l95-053 · ExternalCitation · doi-reference
The proper orthogonal decomposition in the analysis of turbulent flows
10.1146/annurev.fl.25.010193.002543 · ExternalCitation · doi-reference
Structural properties of air-supported structures
10.1177/026635118700200401 · ExternalCitation · doi-reference
Stable minimal surfaces in form-finding of lightweight tension structures
10.1177/026635119300800301 · ExternalCitation · doi-reference
Finite element method-enhanced neural network for forward and inverse problems: Meethal et al
10.1186/s40323-023-00243-1 · ExternalCitation · doi-reference
Optimized gore/seam cable actuated shape control of gossamer membrane reflectors
10.2514/1.25109 · ExternalCitation · doi-reference
