Applied Mathematical Modelling最新文献_第2页

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-16 DOI: 10.1016/j.apm.2025.116148

Xingyuan Chen , Tianxiang Zhan , Guohui Zhou , Yong Deng

{"title":"Variance of belief information","authors":"Xingyuan Chen , Tianxiang Zhan , Guohui Zhou , Yong Deng","doi":"10.1016/j.apm.2025.116148","DOIUrl":"10.1016/j.apm.2025.116148","url":null,"abstract":"<div><div>In alignment with the law of large numbers, the Gaussian distribution is a prevalent occurrence characterized by its expectation and variance. The expectation denotes the mean state of the system, whereas the variance encapsulates the system's degree of fluctuation. Information entropy represents the expectation of information content, with Deng entropy extending this concept to the distribution of mass. As a pivotal attribute of complex systems, the variance of the associated information remains an unresolved issue. This paper introduces the concept of belief information variance, addressing a void within the mass function framework. It delves into the mathematical attributes of this proposed variance, including non-negativity, translation invariance, and homogeneity. Utilizing the principle of entropy increase, the paper investigates the temporal dynamics of variance by traversing the mass space, uncovering two types of dynamic orbits on complex surfaces. Moreover, classification experiments on real-world datasets demonstrate that incorporating the variance improves classification accuracy of evidential decision making methods. The introduction of the variance offers a theoretical foundation for exploring the volatility of belief information.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"146 ","pages":"Article 116148"},"PeriodicalIF":4.4,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143870477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A bi-level programming model for optimizing location, capacity, and pricing decisions of origin warehouses in an agricultural supply chain 农业供应链中原产地仓库位置、容量和价格决策优化的双层规划模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-12 DOI: 10.1016/j.apm.2025.116145

Yiwen Gao , Xifu Wang , Kai Yang , Junchi Ma , Lijun Jiang , Qin Luo

{"title":"A bi-level programming model for optimizing location, capacity, and pricing decisions of origin warehouses in an agricultural supply chain","authors":"Yiwen Gao , Xifu Wang , Kai Yang , Junchi Ma , Lijun Jiang , Qin Luo","doi":"10.1016/j.apm.2025.116145","DOIUrl":"10.1016/j.apm.2025.116145","url":null,"abstract":"<div><div>As new infrastructures for the \"first mile\" in an agricultural supply chain, origin warehouses are highly valued and supported for reducing the loss of agricultural products. With this regard, we develop a bi-level programming model for optimizing the construction and operation of agricultural product origin warehouses. Specifically, the upper-level supply chain enterprise makes decisions regarding the location, capacity, and pricing of the origin warehouses, while the lower-level planters focus on determining the sales allocation plan of agricultural products to various origin warehouses to maximize their profits. To deal with the computational complexity of proposed model, we first divide the original problem into three subproblems related to the location, operation of origin warehouse and sales allocation plan of planters. Subsequently, we develop a hybrid adaptive large neighborhood search algorithm combined with the heuristic rule-based mechanism and the gurobi solver. Taking the Shilin area of Yunnan, China as a case study, we demonstrate the effectiveness of the proposed model and algorithm. The numerical results indicate that the construction of origin warehouses follows a \"1 + <em>N</em>\" layout strategy, featuring one larger core warehouse and N smaller warehouses, thereby balancing both logistics efficiency and cost. In addition, these origin warehouses attract higher quality agricultural products by adopting tiered pricing and premium-for-quality strategies, which benefit both the agricultural supply chain company and the planters.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116145"},"PeriodicalIF":4.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Scattering of Rayleigh wave by inclined surface open cracks: Numerical simulations based on reciprocity theorem and verification using finite element method 倾斜表面开口裂缝对瑞利波的散射：基于互易定理的数值模拟和有限元法验证

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-12 DOI: 10.1016/j.apm.2025.116147

Shuzeng Zhang, Yuzan Liu, Lei Wang, Fengling Wang

{"title":"Scattering of Rayleigh wave by inclined surface open cracks: Numerical simulations based on reciprocity theorem and verification using finite element method","authors":"Shuzeng Zhang, Yuzan Liu, Lei Wang, Fengling Wang","doi":"10.1016/j.apm.2025.116147","DOIUrl":"10.1016/j.apm.2025.116147","url":null,"abstract":"<div><div>Surface cracks typically exhibit a range of characteristics, including varying depths and inclined angles. Investigating the interaction between ultrasonic surface waves and these cracks is crucial for the non-destructive evaluation of their properties. In this work, the amplitudes of Rayleigh waves scattered in the far field by inclined surface open cracks with depths exceeding the wavelength are investigated in a two-dimensional plane. An integral equation, derived from the reciprocity theorem, is formulated for the scattered Rayleigh waves, which is equivalent to the radiated fields from forces and tractions generated by the incident waves at the surface of the crack. Within this integral equation framework, the crack opening displacements caused by the incident Rayleigh waves are determined by solving singular integral equations based on Chebyshev's theorem. An oblique coordinate system is introduced to obtain solutions for the scattered Rayleigh waves generated by inclined cracks. Numerical solutions for the scattered Rayleigh waves are provided, employing reflection and transmission coefficients to investigate the influence of crack length, inclined angle, and depth on wave scattering. It is found that the transmission coefficients of Rayleigh waves exhibit high sensitivity to crack depth, whereas the reflection coefficients depend on both the crack depth and its inclined angle. The finite element method has been used to validate the simulation results obtained from the proposed theory. This theory can further enhance the quantitative assessment of surface cracks.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116147"},"PeriodicalIF":4.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modelling and nonlinear analysis of frictional jointed beams with inerter-based dynamic vibration absorber 基于互耦动力减振器的摩擦节理梁建模与非线性分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-12 DOI: 10.1016/j.apm.2025.116143

Baiyang Shi , Wei Dai , Chendi Zhu , Ruobing Li , Quanmin Zhu , Jian Yang

{"title":"Modelling and nonlinear analysis of frictional jointed beams with inerter-based dynamic vibration absorber","authors":"Baiyang Shi , Wei Dai , Chendi Zhu , Ruobing Li , Quanmin Zhu , Jian Yang","doi":"10.1016/j.apm.2025.116143","DOIUrl":"10.1016/j.apm.2025.116143","url":null,"abstract":"<div><div>This study investigates the effectiveness of an inerter-based dynamic vibration absorber (IDVA) in suppressing vibrations in a nonlinearly jointed beam structure. The governing partial differential equations are derived and discretized using the finite element method, followed by transformation into ordinary differential equations via the Galerkin method. To efficiently compute the steady-state dynamic response and vibration power flow variables, the harmonic balance method with an alternating frequency–time (HB-AFT) scheme is employed. The results demonstrate that the proposed grounded IDVA design achieves superior vibration reduction and energy absorption compared to other designs. The nonlinear frictional joint exhibits distinct behaviour depending on the limit friction force: at smaller limit friction forces, the joint behaves as a frictional damper, resulting in lower response peaks and potential stick-slip motion at the beam tips; at larger limit friction forces, the joint acts as a stiffener, inducing full-stick behaviour and increasing the natural frequency. Additionally, the stiffness nonlinearity primarily influences the system response near the third and fifth resonant peaks, whereas the inertance value significantly affects the first resonant peak. The power dissipation characteristics vary with excitation frequency, with the IDVA dissipating the majority of energy between the first and second resonant frequencies. A design suggestion is to position the IDVA away from the fixed boundary to minimize both the dynamic response and the kinetic energy of the system.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116143"},"PeriodicalIF":4.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143851909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

General and fundamental solutions for isotropic thermo-chemo-elasticity with multi-species diffusion in a steady state 稳定状态下具有多物种扩散的各向同性热-热弹性的一般和基本解法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-11 DOI: 10.1016/j.apm.2025.116134

Guanlin Lv , Weidong Li , Xin Zhang , Haidong Fan , Qingyuan Wang , Peidong Li

{"title":"General and fundamental solutions for isotropic thermo-chemo-elasticity with multi-species diffusion in a steady state","authors":"Guanlin Lv , Weidong Li , Xin Zhang , Haidong Fan , Qingyuan Wang , Peidong Li","doi":"10.1016/j.apm.2025.116134","DOIUrl":"10.1016/j.apm.2025.116134","url":null,"abstract":"<div><div>In this paper, a 3D steady-state general solution for isotropic thermo-chemo-elastic media with multi-species diffusion is derived by introducing two displacement functions and utilizing the rigorous operator theory together with generalized Almansi's theorem. Based on the derived general solution, fundamental solutions for the problems of intact half-infinite, infinite, and bi-material bodies subjected to point loading are obtained by the potential theory method. The fundamental solution to a penny-shaped crack problem is also derived on basis of the general solution and by using the generalized potential theory. Several numerical calculations for specific thermo-chemo-elastic materials are carried out to verify the present analytical solutions and to analyze the 3D distributions of field variables. Furthermore, the transformation relationships among these fundamental solutions are discussed. The present general and fundamental solutions can be served as a basis for deriving analytical or numerical solutions to various boundary value problems in the context of thermo-chemo-elasticity.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116134"},"PeriodicalIF":4.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis 用于高精度宽带振动声学响应分析的动态刚度分析公式

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-11 DOI: 10.1016/j.apm.2025.116128

Xueyi Zhao , Xiang Liu , Xinying Wang

{"title":"An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis","authors":"Xueyi Zhao , Xiang Liu , Xinying Wang","doi":"10.1016/j.apm.2025.116128","DOIUrl":"10.1016/j.apm.2025.116128","url":null,"abstract":"<div><div>An analytical modelling technique is presented that integrates the dynamic stiffness method (DSM) with spectral DSM (SDSM) for broadband 2D vibro-acoustic response analysis. The method employs DSM to model beams with exact solutions specifically designed for general acoustic or distributed force excitations. Meanwhile, acoustic cavities are modelled using SDSM, where boundary conditions are described by the rapidly converging modified Fourier series. The vibro-acoustic coupling at beam-cavity interfaces is enforced via the normal velocity continuity condition, resulting in an explicitly formulated coupling matrix with concise analytical expressions. This ensures a more direct, accurate, and efficient representation of the structural-acoustic coupling effect. Both beam and acoustic cavity elements are assembled directly to model complex vibro-acoustic systems, without requiring extra element discretization in either the structural or acoustic domains. As a result, the method requires very few degrees of freedom (DoFs) while maintaining high accuracy in predicting broadband vibro-acoustic behaviour. Notably, the proposed approach achieves comparable accuracy to the finite element package COMSOL while using only 0.06% of the DoFs and 0.2% of the computational time. These advantages highlight the method's potential as a benchmark tool for various vibro-acoustic problems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116128"},"PeriodicalIF":4.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143855436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An evolutionary features-based neural grey system model and its application 基于进化特征的神经灰色系统模型及其应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-11 DOI: 10.1016/j.apm.2025.116126

Xin Ma , Yiwu Hao , Wanpeng Li

{"title":"An evolutionary features-based neural grey system model and its application","authors":"Xin Ma , Yiwu Hao , Wanpeng Li","doi":"10.1016/j.apm.2025.116126","DOIUrl":"10.1016/j.apm.2025.116126","url":null,"abstract":"<div><div>Effectively addressing nonlinear small-sample data has been a critical focus in time-series research. Due to their “black-box” nature and strong reliance on data scale, traditional machine learning models often struggle with such datasets, prompting many studies to adopt neural grey models. However, existing neural grey models frequently suffer from overfitting and limited predictive accuracy. To address these issues, this study integrates the random vector functional link network into grey models for the first time and proposes five evolutionary feature-based training algorithms for the hybrid framework. Through evaluations on five real-world cases using four accuracy metrics, the proposed model which is based on moth-flame optimization algorithm demonstrates superior performance, achieving mean absolute percentage error improvements ranging from 6.5181% to 96.7559% compared to 21 grey models and 15 machine learning models. Additionally, the study reveals that increasing neuron counts and iteration steps enhances model complexity and training time, underscoring the importance of optimizing these parameters for improved performance. This research bridges the gap in random vector functional link network applications for small-sample data and partially alleviates the limitations of neural grey models in terms of overfitting and predictive accuracy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116126"},"PeriodicalIF":4.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Physics-informed neural fractional differential equations 物理学知识的神经分数微分方程

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-11 DOI: 10.1016/j.apm.2025.116127

Madasamy Vellappandi, Sangmoon Lee

{"title":"Physics-informed neural fractional differential equations","authors":"Madasamy Vellappandi, Sangmoon Lee","doi":"10.1016/j.apm.2025.116127","DOIUrl":"10.1016/j.apm.2025.116127","url":null,"abstract":"<div><div>This study introduces physics-informed neural fractional differential equations, a novel approach that integrates neural ODE, fractional calculus, and physics-informed machine learning to advance the modeling of dynamical systems. Traditional methods often struggle to capture intricate systems' long-range dependencies and memory effects. Physics-informed neural fractional differential equations address these challenges by incorporating the Caputo fractional derivative into neural networks, combining the flexibility of neural ODEs with the power of fractional calculus and physical laws. This integration enhances the accuracy and efficiency of modeling systems with complicated behaviors and nonlocal effects. We use the predictor-corrector method to solve fractional differential equations and the Adam optimization method to update neural network parameters. Numerical examples, including the Van der Pol equation, a spring-mass system, and CO<sub>2</sub> emission modeling, show that physics-informed neural fractional differential equations outperform traditional methods in accuracy and computational efficiency. This research bridges the gap between fractional calculus and deep learning, providing a powerful tool for modeling and predicting intricate dynamical systems in various scientific and engineering fields.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116127"},"PeriodicalIF":4.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamic interaction analysis of ball-cage-guide ring in high-speed angular contact ball bearings under combined loads 复合载荷作用下高速角接触球轴承球笼-导环动态相互作用分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-10 DOI: 10.1016/j.apm.2025.116129

Hongyang Xu , Jinyuan Tian

引用次数: 0

A hydrodynamic model for simulating particles with generalised cross-sectional shapes in two-phase flow systems 模拟两相流系统中具有通用截面形状的颗粒的流体力学模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-04-10 DOI: 10.1016/j.apm.2025.116132

Wenhui Zhang , Yanli Chen , Xiaodong Wang , Shuke Li

{"title":"A hydrodynamic model for simulating particles with generalised cross-sectional shapes in two-phase flow systems","authors":"Wenhui Zhang , Yanli Chen , Xiaodong Wang , Shuke Li","doi":"10.1016/j.apm.2025.116132","DOIUrl":"10.1016/j.apm.2025.116132","url":null,"abstract":"<div><div>Modeling the motion and interactions of particles with complex shapes in two-phase flow systems presents significant challenges. In this study, we aim to develop an efficient and stable hydrodynamic model for simulating two-phase flow systems involving particles with generalised cross-sectional shapes. Firstly, a geometric representation model (GRM) is developed to precisely characterize arbitrary particle geometries while maintaining uniform Lagrangian points spacing. Next, to overcome traditional limitations, a boundary thickening-based direct forcing Immersed Boundary Method (BTDF-based IBM) and a Characteristic-Based Split (CBS) method have been integrated within the finite element framework for the first time. Unlike iterative IBM, BTDF-based IBM enforces no-slip/no-penetration conditions without iteration, significantly improving efficiency and accuracy. The CBS method can ensure the stability of the flow field using equal-order velocity-pressure interpolation, providing reliable results for accurate particle force and motion calculations. The validity and robustness of our proposed method are demonstrated by the benchmark problems. The method has been applied to simulate two-phase flow systems involving particles with generalised cross-sectional shapes. The results offer new insights into the influence of particle shape and initial orientation on particle-fluid interactions, highlighting the applicability of the method as a powerful tool for simulating particle-fluid interactions in engineering applications.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116132"},"PeriodicalIF":4.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0