Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zeshang Li, Lei Wang, Xinyu Geng, Weimin Chen, Bing Han
Summary: This paper proposes a robust topology optimization design strategy for mechanical metamaterials. By considering multiple properties and size uncertainty, utilizing a double-layer mesh technology to improve the efficiency of optimization, and designing and validating mechanical metamaterials with different properties and configurations, this research provides technical support and design references for the engineering application of mechanical metamaterials.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingye Tan, Danial Faghihi
Summary: This paper presents a scalable computational framework for optimal design in the presence of high-dimensional uncertainty, specifically for thermal insulation components. The framework incorporates risk aversion and regularization techniques to promote sparsity in the design parameters. By utilizing a second-order Taylor approximation and exploiting the low-rank structure of the preconditioned Hessian, the computational costs remain independent of the number of uncertain parameters.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mofdi El-Amrani, Anouar Obbadi, Mohammed Seaid, Driss Yakoubi
Summary: This article presents a numerical solution method for incompressible non-Newtonian fluids with a non-linear viscosity. The method splits the viscosity into two time steps and solves the convection term and incompressibility constraint separately. Rigorous error analysis and numerical examples demonstrate the reliability of this viscosity-splitting scheme.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Keigo Enomoto, Takato Ishida, Yuya Doi, Takashi Uneyama, Yuichi Masubuchi
Summary: We have developed a novel Moving Particle Simulation (MPS) method to accurately reproduce the motion of fibers in sheared liquids. By introducing the micropolar fluid model, we address the issue of fibers being aligned with the flow direction in conventional MPS simulations. Our method is capable of accurately reproducing the fiber motion predicted by Jeffery's theory.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2024)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Mathematics, Applied
Xing Wang, Si-Hua Chen, Hai-Yan Qi
Summary: This paper introduces a new class of delay differential variational inequalities and investigates their existence of solutions with boundary conditions. The numerical aspect of the problem is also studied and a numerical scheme is considered, along with a convergence analysis. An application is provided regarding dynamic Nash equilibrium with time delay, specifically focusing on the optimal allocation of distributed generations.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Xi Gao, Qingzhi Wang, Baozeng Fu, Xinru Zhang
Summary: In this work, aperiodic time-triggered intermittent control (ATIC) was proposed to investigate the exponential synchronization issue of chaotic Lur'e systems (CLSs). The flexibility and adaptability of ATIC in complex environments, due to its aperiodic sampling characteristic, greatly increased its applications. Through the establishment of a key lemma and the use of a mixed time-dependent Lyapunov functional (MTLF), an exponential stability theorem was provided for the deduced ATIC error system, leading to an exponential synchronization criterion with less conservativeness for CLSs via ATIC.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Ze Yuan, Zijia Peng, Zhenhai Liu, Stanislaw Migorski
Summary: This paper studies a nonlinear system involving a parabolic variational inequality, a history-dependent hemivariational inequality, and differential equation constraints in a Banach space. The unique solvability theorem is derived, and a penalized problem is constructed to obtain an approximating sequence for the nonlinear system. Moreover, the strong convergence of the sequence of approximate solution to the solution of the original system is proved when the penalty parameter converges to zero. Finally, these results are applied to a quasistatic elastic frictional contact problem with heat equation with memory and damage.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Jiaxin Yuan, Amar Shah, Channing Bentz, Maria Cameron
Summary: This study focuses on modeling various processes in nature using stochastic differential equations with small white noise. It investigates rare transitions in such systems through transition path theory and proposes a methodology to estimate transition rates and construct effective controllers through the computation of committor functions using neural networks.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Engineering, Multidisciplinary
Yong-Tong Zheng, Yijun Liu, Xiao-Wei Gao, Yang Yang, Hai-Feng Peng
Summary: Structures with holes are common in engineering applications. Analyzing stress concentration effects caused by holes using FEM or BEM is challenging and time-consuming. This paper proposes improved methods for simulating holes and cylinders, reducing the number of nodes while maintaining stress accuracy. Numerical examples demonstrate the accuracy and efficiency of the proposed methods.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kaixuan Chen, Xiaochun Xue, Yonggang Yu
Summary: This study proposes a sophisticated numerical framework to understand the thermal behavior of NEPE propellant during rapid pressure decay. The framework consists of a propellant pack generation module and a combustion model code. The simulation results show reasonable agreement with experimental data, validating the reliability and effectiveness of the proposed framework. The study reveals the heterogeneity of NEPE propellant combustion and significant changes in surface morphology during rapid depressurization and combustion.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Jiaqi Huang, Jikai Liu
Summary: This paper developed a strength constrained topology optimization method for hyperelastic structures with large deformation-induced frictionless contact and validated the proposed method with several benchmark examples.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Economics
David Lowing
Summary: This paper investigates the cost allocation problem in energy distribution and proposes cost allocation rules based on the distribution network and consumer demands. By comparing different principles, a family of mixed rules is introduced and analyzed in terms of solution concepts in multi-choice games.
JOURNAL OF MATHEMATICAL ECONOMICS
(2024)
Article
Engineering, Multidisciplinary
Conghua Wang, Jinchen Ji, Zhonghua Miao, Jin Zhou
Summary: This paper proposes a distributed formation tracking protocol for multi-robot systems with switching directed topologies based on the Udwadia-Kalaba approach. By converting formation tracking control requirements into a constraint force and applying a specific method for tracking, the effectiveness of the algorithm is validated through numerical simulations.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Mathematics, Applied
Wenjie Li, Guodong Li, Jinde Cao, Fei Xu
Summary: This study presents and examines a new diffusive SIRI epidemic model incorporating logistic source and a general incidence rate. Utilizing the construction of Lyapunov functions, the global asymptotic stability of equilibria and the relationship between the basic reproduction number and the local basic reproduction number are thoroughly examined. The persistence and extinction of the infective population are also discussed. Theoretical findings are validated through five illustrative examples.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
