Dynamic Behavior of FG-TPMS Plates on a Viscoelastic Foundation Subjected to Moving Loads Using Moving Element Method Ngoc Thuan Do, Kim Q. Tran, H. Nguyen-Xuan, Van Hai Luong International Journal of Structural Stability and Dynamics, 2026 Functionally Graded Triply Periodic Minimal Surface (FG-TPMS) structures are an advanced variation of TPMS with spatially varying mechanical properties. Known for their high strength-to-volume ratio, these structures offer lightweight yet robust structural solutions. This study investigates the dynamic characteristics of FG-TPMS structures under the influence of moving loads and supported by a viscoelastic foundation. To manage the challenges related to moving loads and the sensitivity of FG-TPMS plates to boundary conditions, the Moving Element Method (MEM) is employed. The influence of several parameters on the dynamic performance of FG-TPMS plates is studied, including porosity distribution, relative density, plate thickness, and load velocity. The findings highlight the superior strength-to-volume ratio of FG-TPMS plates compared to their isotropic counterparts, emphasizing their potential for practical applications in engineering and materials science. Detailed numerical analyses demonstrate how different porosity distributions and other factors influence the mechanical behavior of FG-TPMS plates, offering insights into optimizing their design for enhanced performance. This comprehensive investigation underscores the advantages of FG-TPMS structures, particularly in applications requiring high strength and lightweight materials, showcasing the efficacy of MEM in solving complex dynamic problems involving moving loads.
Dynamic behavior of FG-TPMS plates on a viscoelastic foundation subjected to moving loads using moving element method NT Do, KQ Tran, H Nguyen-Xuan, VH Luong International Journal of Structural Stability and Dynamics 26 (10), 2650071 , 2026 2026 Citations: 11
Explainable artificial intelligence in uncertainty quantification of functionally graded triply periodic minimal surface nanoplates via nonlocal moving Kriging meshfree method … LB Nguyen, KQ Tran Computers & Structures 326, 108217 , 2026 2026
LayGenID: Layout-Preserving Multi-Condition Diffusion Transformer with LoRA Fusion for Interior Design Generation DQ Nguyen, KQ Tran, H Nguyen-Xuan Expert Systems with Applications, 132352 , 2026 2026
Natural vibrations of variable-thickness truncated spherical shells with functionally graded bio-inspired anisotropic TPMS materials using 3D NURBS-based discretization method TV Duong, KD Nguyen, KQ Tran Materials and Emerging Technologies for Sustainability 1 (04), 2550016 , 2025 2025 Citations: 1
A stochastic multiscale asymptotic homogenization approach to 3D printed biodegradable resin TPMS bio-inspired structures TD Hoang, TH Ngo, KQ Tran, S Li, H Nguyen-Xuan Thin-Walled Structures 212, 113100 , 2025 2025 Citations: 16
A new thermoelastic model for agglomerated and randomly-oriented CNT-reinforced bio-inspired materials: Temperature-dependent free vibration analysis of FG-CNTR-TPMS plates KQ Tran, TV Duong, TD Hoang, MA Wahab, K Hackl, H Nguyen-Xuan Engineering Analysis with Boundary Elements 174, 106157 , 2025 2025 Citations: 18
Thermo-mechanical buckling analysis of bio-inspired RotTPMS plates via quasi-3D HSDT isogeometric analysis KQ Tran, TV Duong, H Nguyen, H Nguyen-Xuan Materials and Emerging Technologies for Sustainability 1 (01), 2550006 , 2025 2025 Citations: 14
A data-driven uncertainty quantification framework in probabilistic bio-inspired porous materials (Material-UQ): An investigation for RotTMPS plates DQ Nguyen, KQ Tran, TD Le, MA Wahab, H Nguyen-Xuan Computer Methods in Applied Mechanics and Engineering 435, 117603 , 2025 2025 Citations: 37
A size-dependent nonlinear analysis of perovskite solar panels with FG-CNTR-TPMS substrates NV Nguyen, KQ Tran, N Fantuzzi, H Nguyen-Xuan Composite Structures 351, 118548 , 2025 2025 Citations: 15
Nonlinear thermo-mechanical static stability analysis of FG-TPMS shallow spherical shells DT Dong, TQ Minh, BT Tu, KQ Tran, H Nguyen-Xuan Thin-Walled Structures 205, 112343 , 2024 2024 Citations: 23
An isogeometric analysis of solar panels with a bio-inspired substrate NV Nguyen, KQ Tran, DTT Do, CH Thai, KK Żur, H Nguyen-Xuan Engineering Analysis with Boundary Elements 166, 105854 , 2024 2024 Citations: 27
A refined quasi-3d isogeometric nonlinear model of functionally graded triply periodic minimal surface plates NV Nguyen, KQ Tran, H Nguyen-Xuan Engineering with Computers 40 (4), 2161-2181 , 2024 2024 Citations: 25
Design of 3D rotating triply periodic minimal surface (RotTPMS) lattice plates: Meanings of crystalline rotations and porosity KQ Tran, TD Le, NV Nguyen, H Nguyen-Xuan International Journal of Mechanical Sciences 270, 109090 , 2024 2024 Citations: 43
Nonlocal strain gradient-based isogeometric analysis of graphene platelets-reinforced functionally graded triply periodic minimal surface nanoplates NV Nguyen, KQ Tran, J Lee, H Nguyen-Xuan Applied Mathematics and Computation 466, 128461 , 2024 2024 Citations: 51
Three novel computational modeling frameworks of 3D-printed graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates KQ Tran, TD Hoang, J Lee, H Nguyen-Xuan Applied Mathematical Modelling 126, 667-697 , 2024 2024 Citations: 72
Modelling of functionally graded triply periodic minimal surface (FG-TPMS) plates H Nguyen-Xuan, KQ Tran, CH Thai, J Lee Composite Structures 315, 116981 , 2023 2023 Citations: 118
An isogeometric analysis of functionally graded triply periodic minimal surface microplates NV Nguyen, KQ Tran, P Phung-Van, J Lee, H Nguyen-Xuan Aerospace Science and Technology 137, 108270 , 2023 2023 Citations: 53
Machine learning for predicting mechanical behavior of concrete beams with 3D printed TPMS K Tran-Quoc, LB Nguyen, VH Luong, H Nguyen-Xuan Vietnam Journal of Mechanics 44 (4), 538-584 , 2022 2022 Citations: 8
MOST CITED SCHOLAR PUBLICATIONS
Modelling of functionally graded triply periodic minimal surface (FG-TPMS) plates H Nguyen-Xuan, KQ Tran, CH Thai, J Lee Composite Structures 315, 116981 , 2023 2023 Citations: 118
Three novel computational modeling frameworks of 3D-printed graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates KQ Tran, TD Hoang, J Lee, H Nguyen-Xuan Applied Mathematical Modelling 126, 667-697 , 2024 2024 Citations: 72
An isogeometric analysis of functionally graded triply periodic minimal surface microplates NV Nguyen, KQ Tran, P Phung-Van, J Lee, H Nguyen-Xuan Aerospace Science and Technology 137, 108270 , 2023 2023 Citations: 53
Nonlocal strain gradient-based isogeometric analysis of graphene platelets-reinforced functionally graded triply periodic minimal surface nanoplates NV Nguyen, KQ Tran, J Lee, H Nguyen-Xuan Applied Mathematics and Computation 466, 128461 , 2024 2024 Citations: 51
Design of 3D rotating triply periodic minimal surface (RotTPMS) lattice plates: Meanings of crystalline rotations and porosity KQ Tran, TD Le, NV Nguyen, H Nguyen-Xuan International Journal of Mechanical Sciences 270, 109090 , 2024 2024 Citations: 43
A data-driven uncertainty quantification framework in probabilistic bio-inspired porous materials (Material-UQ): An investigation for RotTMPS plates DQ Nguyen, KQ Tran, TD Le, MA Wahab, H Nguyen-Xuan Computer Methods in Applied Mechanics and Engineering 435, 117603 , 2025 2025 Citations: 37
An isogeometric analysis of solar panels with a bio-inspired substrate NV Nguyen, KQ Tran, DTT Do, CH Thai, KK Żur, H Nguyen-Xuan Engineering Analysis with Boundary Elements 166, 105854 , 2024 2024 Citations: 27
A refined quasi-3d isogeometric nonlinear model of functionally graded triply periodic minimal surface plates NV Nguyen, KQ Tran, H Nguyen-Xuan Engineering with Computers 40 (4), 2161-2181 , 2024 2024 Citations: 25
Nonlinear thermo-mechanical static stability analysis of FG-TPMS shallow spherical shells DT Dong, TQ Minh, BT Tu, KQ Tran, H Nguyen-Xuan Thin-Walled Structures 205, 112343 , 2024 2024 Citations: 23
A new thermoelastic model for agglomerated and randomly-oriented CNT-reinforced bio-inspired materials: Temperature-dependent free vibration analysis of FG-CNTR-TPMS plates KQ Tran, TV Duong, TD Hoang, MA Wahab, K Hackl, H Nguyen-Xuan Engineering Analysis with Boundary Elements 174, 106157 , 2025 2025 Citations: 18
A stochastic multiscale asymptotic homogenization approach to 3D printed biodegradable resin TPMS bio-inspired structures TD Hoang, TH Ngo, KQ Tran, S Li, H Nguyen-Xuan Thin-Walled Structures 212, 113100 , 2025 2025 Citations: 16
A size-dependent nonlinear analysis of perovskite solar panels with FG-CNTR-TPMS substrates NV Nguyen, KQ Tran, N Fantuzzi, H Nguyen-Xuan Composite Structures 351, 118548 , 2025 2025 Citations: 15
Thermo-mechanical buckling analysis of bio-inspired RotTPMS plates via quasi-3D HSDT isogeometric analysis KQ Tran, TV Duong, H Nguyen, H Nguyen-Xuan Materials and Emerging Technologies for Sustainability 1 (01), 2550006 , 2025 2025 Citations: 14
Dynamic behavior of FG-TPMS plates on a viscoelastic foundation subjected to moving loads using moving element method NT Do, KQ Tran, H Nguyen-Xuan, VH Luong International Journal of Structural Stability and Dynamics 26 (10), 2650071 , 2026 2026 Citations: 11
Machine learning for predicting mechanical behavior of concrete beams with 3D printed TPMS K Tran-Quoc, LB Nguyen, VH Luong, H Nguyen-Xuan Vietnam Journal of Mechanics 44 (4), 538-584 , 2022 2022 Citations: 8
Natural vibrations of variable-thickness truncated spherical shells with functionally graded bio-inspired anisotropic TPMS materials using 3D NURBS-based discretization method TV Duong, KD Nguyen, KQ Tran Materials and Emerging Technologies for Sustainability 1 (04), 2550016 , 2025 2025 Citations: 1
Explainable artificial intelligence in uncertainty quantification of functionally graded triply periodic minimal surface nanoplates via nonlocal moving Kriging meshfree method … LB Nguyen, KQ Tran Computers & Structures 326, 108217 , 2026 2026
LayGenID: Layout-Preserving Multi-Condition Diffusion Transformer with LoRA Fusion for Interior Design Generation DQ Nguyen, KQ Tran, H Nguyen-Xuan Expert Systems with Applications, 132352 , 2026 2026
