Applied Mathematical Modelling最新文献_第3页

Robust estimate for count time series using GLARMA models: An application to environmental and epidemiological data 使用 GLARMA 模型对计数时间序列进行稳健估计：环境和流行病学数据的应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-28 DOI: 10.1016/j.apm.2024.115658

引用次数: 0

Design and optimization of inertial amplifier for enhanced vibration control of bridges under moving loads 设计和优化惯性放大器，加强移动荷载下的桥梁振动控制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-28 DOI: 10.1016/j.apm.2024.115656

{"title":"Design and optimization of inertial amplifier for enhanced vibration control of bridges under moving loads","authors":"","doi":"10.1016/j.apm.2024.115656","DOIUrl":"10.1016/j.apm.2024.115656","url":null,"abstract":"<div><p>This paper introduces a vibration control strategy for bridges that involves the implementation of an inertial amplifier to mitigate train-induced vibrations. The study comprehensively evaluates the effectiveness of two types of vibration absorbers, namely spring-mass resonator (SMR) and inertial amplifiers (IA), using a non-dimensional mechanics-based framework. The study further employs a heuristic search adaptive genetic algorithm (GA) to determine the optimal design parameters for the proposed vibration absorbers. The aim is to minimize the mid-span displacement of the bridge through the optimization process. The theoretical non-dimensional framework and the optimization technique are first validated with existing literature, and further, the efficiency of the optimized IA over the SMR of the same static mass is estimated. The comparative studies elucidate that with a lower mass ratio and higher values of the speed parameter (<em>η</em>) and inter-spatial distance between loads (<em>ϵ</em>), the IA system is more effective in reducing the vibration amplitude due to significant mass amplification. However, for lower values of <em>η</em> and <em>ϵ</em>, the SMR seems effective with a higher mass ratio, consequently resulting in amplified static deflection.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24004098/pdfft?md5=450fe27ecaefd52ebee15c5bd3a2870a&pid=1-s2.0-S0307904X24004098-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142098165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Bayesian tensor ring decomposition model with automatic rank determination for spatiotemporal traffic data imputation 用于时空交通数据估算的具有自动秩确定功能的贝叶斯张量环分解模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-24 DOI: 10.1016/j.apm.2024.115654

{"title":"A Bayesian tensor ring decomposition model with automatic rank determination for spatiotemporal traffic data imputation","authors":"","doi":"10.1016/j.apm.2024.115654","DOIUrl":"10.1016/j.apm.2024.115654","url":null,"abstract":"<div><p>Recently, tensor factorization models have shown superiority in solving traffic data imputation problem. However, these approaches have a limited ability to learn traffic data correlations and are easy to overfit when the pre-defined rank is large and the available data is limited. In this paper, we propose a Bayesian tensor ring decomposition model, utilizing Variational Bayesian Inference to solve the model. Firstly, tensor ring decomposition with an enhanced representational capability is used to decompose partially observed data into factor tensors to capture the correlation in traffic data. Secondly, to address the issue of selecting large pre-defined rank when data availability is limited, an automatic determination mechanism of tensor ring ranks is proposed. This mechanism can be implemented by pruning the zero-component horizontal and frontal slices of the core factors in each iteration, reducing the dimensions of the core factors and consequently lowering the tensor ring ranks. Finally, extensive experiments on synthetic data and four diverse types of real-world traffic datasets demonstrate the superiority of the proposed model. In the Guangzhou dataset, the maximum improvement in Mean Absolute Percentage Error can reach 15 % compared to the most competitive baseline model.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24004074/pdfft?md5=bf02eb8bc164d2b68fc7e7f91cd246ca&pid=1-s2.0-S0307904X24004074-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142117674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Two-dimensional quad-stable Gaussian potential stochastic resonance model for enhanced bearing fault diagnosis 用于增强轴承故障诊断的二维四稳高斯势随机共振模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-24 DOI: 10.1016/j.apm.2024.115657

{"title":"Two-dimensional quad-stable Gaussian potential stochastic resonance model for enhanced bearing fault diagnosis","authors":"","doi":"10.1016/j.apm.2024.115657","DOIUrl":"10.1016/j.apm.2024.115657","url":null,"abstract":"<div><p>In this study, a two-dimensional quad-stable Gaussian potential stochastic resonance model is explored for the first time. First, the structure of the proposed model is analyzed to have a broader potential field and verified to break through the severe output saturation inherent in the classical two-dimensional quad-stable stochastic resonance model. Then, we analyze the relationship between the structure and parameters of the model and derive the steady-state probability density and the mean first-passage time using adiabatic approximation theory to describe the specific process of the Brownian particle transitions. By combining the adiabatic approximation theory and the probability flow equation, the spectral amplification factor of the model is derived, and the effects of different parameters on the model performance are investigated. Further, a fourth-order Runge-Kutta algorithm was applied to evaluate the model performance in multiple dimensions. Finally, the model parameters were optimized using an adaptive genetic algorithm and applied to complex practical engineering detection. The experimental results show that the proposed model is superior and universal in fault diagnosis. Overall, this study provides important mathematical support for solving various engineering problems and demonstrates a wide range of practical applications.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24004104/pdfft?md5=fc8f5053b146f321f0b82f20dccbb34e&pid=1-s2.0-S0307904X24004104-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142232946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis on transient wave propagation in the soft matter of hydrogels 水凝胶软物质中的瞬态波传播分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-24 DOI: 10.1016/j.apm.2024.115659

{"title":"Analysis on transient wave propagation in the soft matter of hydrogels","authors":"","doi":"10.1016/j.apm.2024.115659","DOIUrl":"10.1016/j.apm.2024.115659","url":null,"abstract":"<div><p>The precise control and structural design of the soft matter of the hydrogel subjected to dynamic loading require an in-depth understanding of its transient wave characteristics. However, for the complex solid–liquid coupling effects of the soft matter of hydrogels, the traditional single-phase wave model is no longer applicable. In this study, a transient wave propagation model that considers the solid–liquid coupling effects and its computational method is proposed. The wave-governing equations of hydrogels are derived based on the mass conservation and dynamic equilibrium equations, where the motions of solid and liquid phases are independently described. After transforming the governing equations into the equivalent weak form, numerical solutions for transient wave propagation in one- and two-dimensional hydrogels are calculated. The accuracy of the proposed model is verified by a comparison between semi-analytical and commercial finite element method solutions. We observe that the travelling and reflection processes of the two types of compression waves, P<sub>1</sub> and P<sub>2</sub>, with different wave speeds are captured when the dynamic coefficient of permeability <em>k</em><sub>f</sub> increases. Furthermore, the influence of solid–liquid coupling effects on the transient responses of hydrogels is discussed. The results show that the hydrogels exhibit the dynamic characteristics of a single-phase medium to a certain extent when <em>k</em><sub>f</sub> is sufficiently small.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24004128/pdfft?md5=6610ff1cde0f71d89b559a9afc5a2a18&pid=1-s2.0-S0307904X24004128-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142098164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A numerical model for the simulation of complex planar Newtonian interfaces 模拟复杂平面牛顿界面的数值模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-23 DOI: 10.1016/j.apm.2024.115653

{"title":"A numerical model for the simulation of complex planar Newtonian interfaces","authors":"","doi":"10.1016/j.apm.2024.115653","DOIUrl":"10.1016/j.apm.2024.115653","url":null,"abstract":"<div><p>We present a numerical model for the simulation of complex planar interfaces at which moving solid objects can be immersed, reproducing a wide variety of experimental conditions. The mathematical model consists of the Navier-Stokes equations governing the incompressible viscous flow in the liquid subphase, the transport equation for the evolution of the surfactant concentration at the interface, and the interfacial stress balance equation. The equations are simplified by treating the problem as isothermal and the surfactant as insoluble. The bulk flow equations are discretized using a collocated finite volume method, while the interfacial flow equations are discretized using a finite area method. The Boussinesq-Scriven interface constitutive model and a variant form accounting for extensional viscosity are used to describe the extra surface stress tensor. The coupling between surfactant concentration, interfacial velocity, and bulk velocity is treated implicitly by solving the interfacial and bulk equations sequentially at each time step until a stopping criterion is satisfied. The motion of the solid is treated by an arbitrary Lagrangian-Eulerian method. The model has been implemented in the OpenFOAM framework and allows the incorporation of new interface models and solvers, making the developed new package a versatile and powerful tool in the field of computational rheology. Applications of the model include the numerical simulation of flow around objects, such as probes, immersed at a complex interface, reproducing given experimental conditions, and its use as a tool in the analysis and design of interfacial stress rheometers. Several test cases have been performed to validate the model by comparing the results obtained with analytical solutions and with numerical and experimental results available in the literature.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24004062/pdfft?md5=32a3cf2b68f9e5f06415b716bf45f56c&pid=1-s2.0-S0307904X24004062-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142136138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The influence of material gradation parallel to two unequal mode-III cracks in functionally graded materials via strain gradient elasticity theory 通过应变梯度弹性理论研究平行于功能分级材料中两条不等模 III 裂纹的材料分级的影响

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-22 DOI: 10.1016/j.apm.2024.115647

{"title":"The influence of material gradation parallel to two unequal mode-III cracks in functionally graded materials via strain gradient elasticity theory","authors":"","doi":"10.1016/j.apm.2024.115647","DOIUrl":"10.1016/j.apm.2024.115647","url":null,"abstract":"<div><p>In this article, the strain gradient elasticity (SGE) theory is used to investigate the mechanical behaviour of a functionally graded material (FGM) weakened by two unequal collinear mode-III cracks. The SGE theory uses two material characteristic lengths, <em>ℓ</em> and <span><math><msup><mrow><mi>ℓ</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span>, to account for volumetric and surface strain-gradient factors, respectively. The directions of both cracks coincide with the material gradation, which is oriented parallel to the <em>x</em>-axis. The numerical outcomes of the problem are obtained by constructing the system of equations using the hyper-singular integral-differential equation technique. The influence of the material gradation parameter on various fracture parameters, including the stress intensity factor (SIF), strain and crack surface displacement (CSD), is numerically shown. In addition, different loads are considered while analysing CSD profiles in connection to the gradation parameter <em>β</em>. Furthermore, the effect of inter-crack distance on CSD profiles is comprehensively explored, showing information between crack geometry and material gradation.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142084389","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

Nonconvex low-rank regularization method for video snapshot compressive imaging 用于视频快照压缩成像的非凸低秩正则化方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-22 DOI: 10.1016/j.apm.2024.115645

引用次数: 0

Vibration suppression of a platform by a fractional type electromagnetic damper and inerter-based nonlinear energy sink 利用分数型电磁阻尼器和基于逆变器的非线性能量汇抑制平台振动

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-22 DOI: 10.1016/j.apm.2024.115651

{"title":"Vibration suppression of a platform by a fractional type electromagnetic damper and inerter-based nonlinear energy sink","authors":"","doi":"10.1016/j.apm.2024.115651","DOIUrl":"10.1016/j.apm.2024.115651","url":null,"abstract":"<div><p>The theory of linear and nonlinear dynamic vibration absorbers is a well-established topic for many years. However, many recent contributions paid attention to the nonlinear vibration absorbers and different practical realizations of corresponding devices. Here, we propose a mechanical system constituted of the inerter-based nonlinear energy sink attached to the main body that is resting on an elastic foundation and is grounded through the fractional type electromagnetic damper. The two-degree-of-freedom system is described via two coupled differential equations with one of them having a fractional-order derivative term and the other one containing cubic stiffness nonlinearity. The incremental harmonic balance (IHB) method is employed to solve the equations and studies the strongly nonlinear periodic responses of the system. Applied approximated solution methodology is validated by the numerical Newmark method adapted to deal with the system of nonlinear fractional-order differential equations. The appropriate and necessary number of harmonics used in the IHB solution is commented and validated. This study can be a first step in understanding the dynamics and giving directions for the future design of vibration-isolating platforms based on inerter-based nonlinear vibration absorbers and electromagnetic dampers.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24003986/pdfft?md5=a385775c0b6732a401fc5ffe3409aa44&pid=1-s2.0-S0307904X24003986-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142088086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A deformation procedure using position-based dynamics to optimize the geometric model of woven fabrics 利用基于位置的动力学变形程序优化机织物的几何模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-08-22 DOI: 10.1016/j.apm.2024.115650

{"title":"A deformation procedure using position-based dynamics to optimize the geometric model of woven fabrics","authors":"","doi":"10.1016/j.apm.2024.115650","DOIUrl":"10.1016/j.apm.2024.115650","url":null,"abstract":"<div><p>Generating realistic three-dimensional (3D) yarn-level models for fabrics has become a significant research topic due to the complexity of fabric structures and the requirement for high-quality models with no interpenetration between yarns. The generation process of idealized geometric models leads to inaccurate descriptions of yarn contact, specifically the interpenetrations and spurious voids between yarns. A geometric optimization procedure was developed to address the defects in the idealized models, involving a series of geometry-driven operations, such as the shrinking and expansion of yarn volume and the straightening of the yarn centerline, to obtain accurate and consistent fabric models for Finite Element Analysis. During the geometric optimization, a method for yarn deformation based on position-based dynamics (PBD) was applied to simulate the real deformation during yarn interweaving, ensuring no interpenetrations between yarns while preserving yarn volume. The accuracy of the model is validated by comparison with the real fabric images. Although the methods involved in the procedure are all geometric, their deformation results have realistic physical effects. In addition, the procedure can be applied to various woven fabric structures.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24003974/pdfft?md5=91f536797a80a106a59e85a2b3bab2f6&pid=1-s2.0-S0307904X24003974-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142088087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0