An analysis of functionally graded thin-walled beams using physics-informed neural networks

被引:4
作者
Trinh, Duy T. N. [1 ]
Luong, Khang A. [1 ]
Lee, Jaehong [1 ]
机构
[1] Sejong Univ, Deep Learning Architectural Res Ctr, 209 Neungdong Ro, Seoul 05006, South Korea
基金
新加坡国家研究基金会;
关键词
Thin-walled structures; Physics-informed neural networks; Functionally graded materials;
D O I
10.1016/j.engstruct.2023.117290
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In this paper, a physics-informed neural network (PINN) analytical modeling of functionally graded thin-walled beams is proposed with respect to doubly-symmetric I-and channel-sections. In this regard, the energy-based PINN approach is applied to determine the vertical displacements and angles of twist of the beams.Unidirectional along with contour direction and bi-directional material distributions in axial and through-thickness directions are utilized to validate the effectiveness of the proposed approach. Several numerical examples are studied, showing good agreements with closed-form solutions.
引用
收藏
页数:14
相关论文
共 32 条
[1]   On the approximation of functions by tanh neural networks [J].
De Ryck, Tim ;
Lanthaler, Samuel ;
Mishra, Siddhartha .
NEURAL NETWORKS, 2021, 143 :732-750
[2]   Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach [J].
Do, Dieu T. T. ;
Nguyen-Xuan, H. ;
Lee, Jaehong .
APPLIED MATHEMATICAL MODELLING, 2020, 87 (87) :501-533
[3]   Forecasting Damage Mechanics By Deep Learning [J].
Duyen Le Hien Nguyen ;
Dieu Thi Thanh Do ;
Lee, Jaehong ;
Rabczuk, Timon ;
Hung Nguyen-Xuan .
CMC-COMPUTERS MATERIALS & CONTINUA, 2019, 61 (03) :951-977
[4]   Application of deep learning method in web crippling strength prediction of cold-formed stainless steel channel sections under end-two-flange loading [J].
Fang, Zhiyuan ;
Roy, Krishanu ;
Ma, Quincy ;
Uzzaman, Asraf ;
Lim, James B. P. .
STRUCTURES, 2021, 33 :2903-2942
[5]   Static analyses of FGM beams by various theories and finite elements [J].
Filippi, M. ;
Carrera, E. ;
Zenkour, A. M. .
COMPOSITES PART B-ENGINEERING, 2015, 72 :1-9
[6]   Free vibration analysis of a rotating single edge cracked axially functionally graded beam for flap-wise and chord-wise modes [J].
Guler, Serkan .
ENGINEERING STRUCTURES, 2021, 242
[7]   Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories [J].
Huu-Tai Thai ;
Vo, Thuc P. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2012, 62 (01) :57-66
[8]   Q-Learning-based parameter control in differential evolution for structural optimization [J].
Huynh, Thanh N. ;
Do, Dieu T. T. ;
Lee, Jaehong .
APPLIED SOFT COMPUTING, 2021, 107
[9]   A Physics-Informed Neural Network-based Topology Optimization (PINNTO) framework for structural optimization [J].
Jeong, Hyogu ;
Bai, Jinshuai ;
Batuwatta-Gamage, C. P. ;
Rathnayaka, Charith ;
Zhou, Ying ;
Gu, YuanTong .
ENGINEERING STRUCTURES, 2023, 278
[10]   Physics-informed machine learning [J].
Karniadakis, George Em ;
Kevrekidis, Ioannis G. ;
Lu, Lu ;
Perdikaris, Paris ;
Wang, Sifan ;
Yang, Liu .
NATURE REVIEWS PHYSICS, 2021, 3 (06) :422-440