Applied Mathematical Modelling最新文献_第7页

Adaptive sampling with tensor leverage scores for exact low-rank third-order tensor completion 利用张量杠杆分数进行自适应采样，实现精确的低阶三阶张量补全

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI: 10.1016/j.apm.2024.115744

Xuan Chen , Tai-Xiang Jiang , Yexun Hu , Jinjin Yu , Michael K. Ng

{"title":"Adaptive sampling with tensor leverage scores for exact low-rank third-order tensor completion","authors":"Xuan Chen , Tai-Xiang Jiang , Yexun Hu , Jinjin Yu , Michael K. Ng","doi":"10.1016/j.apm.2024.115744","DOIUrl":"10.1016/j.apm.2024.115744","url":null,"abstract":"<div><div>Tensor completion aims at estimating the missing entries from the incomplete observation. Under the tensor singular value decomposition framework, the exact recovery of a low-tubal-rank third-order tensor could be achieved via convex optimization with high probability if the tensor satisfies the tensor incoherence condition. In this work, we show that, when the random selection of entries is made adaptive to a distribution which is dependent on the coherence structure of the tensor, any low-tubal-rank tensor of the size <span><math><mi>n</mi><mo>×</mo><mi>n</mi><mo>×</mo><mi>n</mi></math></span> with tubal-rank <em>r</em> can be exactly recovered with high probability from as few as <span><math><mi>O</mi><mo>(</mo><mi>r</mi><msup><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msup><msup><mrow><mi>log</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>⁡</mo><mo>(</mo><mi>n</mi><mo>)</mo><mo>)</mo></math></span> randomly chosen entries. In practice, tensor leverage scores are not known a priori, and we design a two-phase adaptive sampling strategy to obtain the leverage scores. Numerical experiments on synthetic and real-world third-order tensor data sets are used to validate our theoretical results and illustrate that the tensor recovery performance of the proposed two-phase adaptive sampling scheme is better than that of the other state-of-the-art methods.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115744"},"PeriodicalIF":4.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142442751","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

Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study 评估化学杀虫剂对蔬菜产量和人口的多方面影响：模型研究

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI: 10.1016/j.apm.2024.115752

Akash Yadav, Arvind Kumar Misra

{"title":"Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study","authors":"Akash Yadav, Arvind Kumar Misra","doi":"10.1016/j.apm.2024.115752","DOIUrl":"10.1016/j.apm.2024.115752","url":null,"abstract":"<div><div>Vegetables stand out as invaluable reservoirs of essential vitamins, minerals, antioxidants, and vital dietary elements, yet their production faces a considerable threat due to insects. To tackle this challenge, farmers spray chemical insecticides to enhance vegetable yields by controlling the insect population. Nevertheless, the presence of insecticide residues in vegetables stands as a primary contributor to acute illnesses and chronic health conditions in humans. In the present research work, we formulate a novel nonlinear mathematical model meticulously designed to scrutinize the multifaceted repercussions of chemical insecticides on vegetable yield and the human population. In our model formulation, we adopt a dynamic approach where insecticide application on vegetables in agricultural fields correlates with the insect population. However, we acknowledge the consequential impact of insecticide usage on human health, which in turn reduces the growth rate of the human population. This study determines the critical value of the spraying rate of insecticide at which the human population reaches its maximum, ensuring that human needs for vegetables are met while minimizing the adverse effects of insecticide. Since various species of insects attack vegetables in the field and different insect species have different natural mortality rates, therefore we also identify the range of natural mortality rates of insects for which vegetable yield is minimal and fluctuates with time. Further, our research reveals that if the natural mortality rate of insects in a certain crop field lies within this identified range, then farmers should increase the insecticide spraying rate to avoid this upheaval situation and stabilize vegetable yield at a higher level.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115752"},"PeriodicalIF":4.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142442754","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

Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems l 形弯曲扭转压电能量采集系统的机电模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI: 10.1016/j.apm.2024.115755

Amal Megdich, Mohamed Habibi, Luc Laperriere

{"title":"Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems","authors":"Amal Megdich, Mohamed Habibi, Luc Laperriere","doi":"10.1016/j.apm.2024.115755","DOIUrl":"10.1016/j.apm.2024.115755","url":null,"abstract":"<div><div>Piezoelectric energy harvesting (PEH) has become an important concept in recent years, aiming to harvest energy from various mechanical vibrations. However, a significant gap has been noticed in the multimodal and multidirectional analytics of PEHs. In this context, this paper proposes an innovative approach to introduce a novel multimodal and multidirectional PEH design, which exploits both the face extension mode (d31) and the face shear mode (d36), to target low-frequency environments. The study investigates three bending-torsion l-shaped bimorph PEHs, namely H<sub>1</sub>, H<sub>2</sub>, and H<sub>3</sub>. To evaluate the performance of the proposed PEHs, a distributed parameter model is developed based on the assumptions of the Euler-Bernoulli beam. The validity of the model is confirmed by analytical, numerical, and experimental results from previous work. The exploitation of the d36 mode enhances the power output of H<sub>1</sub>, H<sub>2</sub>, and H<sub>3</sub> by 67.95 %, 43.66 %, and 31.83 respectively. The three PEHs performances are compared quantitatively and qualitatively, and H<sub>1</sub> is found to be the most efficient among them. The PEH H<sub>1</sub> requires a single excitation to perform the coupled bending-torsion motions, resulting in an outstanding average power output of 54.66 µW, which outperforms the other two PEHs by tenfold. The use of the d36 modes to expand the frequency bandwidth and improve the power output presents an excellent innovative and practical value for piezoelectric energy harvesting.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115755"},"PeriodicalIF":4.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142538031","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

Acceleration effect on stress singularity and edge strength in piezoelectric/Piezomagnetic heterostructures 加速度对压电/压磁异质结构应力奇异性和边缘强度的影响

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI: 10.1016/j.apm.2024.115745

Yan Guo , Licheng Hua , Ji Wang , Jianke Du , Bin Huang

{"title":"Acceleration effect on stress singularity and edge strength in piezoelectric/Piezomagnetic heterostructures","authors":"Yan Guo , Licheng Hua , Ji Wang , Jianke Du , Bin Huang","doi":"10.1016/j.apm.2024.115745","DOIUrl":"10.1016/j.apm.2024.115745","url":null,"abstract":"<div><div>The acceleration effect on edge stress singularity and edge strength in piezoelectric/piezomagnetic heterostructures is investigated in this work. For the stress singularity analysis, we propose a stress function based iterative approach based on the Lekhnitskii stress functions with body forces and harmonic assumption of initial stress fields. The acceleration effect is introduced by adding body force terms to the equilibrium equations. The governing equations are obtained by applying variational principle in each process and solved by general eigenvalue problems to obtain homogeneous solutions, as well as to obtain particular solutions based on the forms of load and acceleration conditions. During the iterations, the stress oscillations can be gradually eliminated and the stress concentration can be predicted exactly located at the interfaces. Finally, an example of symmetrically layered heterostructure is presented under both in-plane acceleration and out-of-plane acceleration. It is found that both accelerations have significant effect on the edge normal and shear stresses which may further cause failure. The edge strength is also evaluated by calculating the edge average stress. This work may help to understand the acceleration effect on edge stresses and edge strength for heterostructures, as well as the trend of stress magnitude change caused by external accelerations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115745"},"PeriodicalIF":4.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142531814","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

Free vibration analysis of multibladed propeller propulsion system based on substructure modal synthesis method 基于子结构模态合成法的多叶螺旋桨推进系统自由振动分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI: 10.1016/j.apm.2024.115763

Yongqiang Li , Yu Ma

引用次数: 0

Deep learning-based topology optimization for multi-axis machining 基于深度学习的多轴加工拓扑优化

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI: 10.1016/j.apm.2024.115738

Yifan Guo , Jikai Liu , Yongsheng Ma , Rafiq Ahmad

{"title":"Deep learning-based topology optimization for multi-axis machining","authors":"Yifan Guo , Jikai Liu , Yongsheng Ma , Rafiq Ahmad","doi":"10.1016/j.apm.2024.115738","DOIUrl":"10.1016/j.apm.2024.115738","url":null,"abstract":"<div><div>This paper presents a novel framework that integrates topology optimization (TO) and deep learning (DL) to generate high-performance structures suitable for multi-axis machining. Within the proposed framework, DL is built on the pix2pix network, with the conditional channel used to determine the tool shape and feed direction in multi-axis machining. This DL model will be trained using our own generated dataset on TO for multi-axis machining. Then, users can customize tool dimensions and machining orientations of the multi-axis machining operation and specify the design boundary and loading conditions as input. The DL model will rapidly generate a near-optimized structure, which subsequently serves as the starting point for further optimization. Ultimately, a topology-optimized structure that meets the tailored requirements is apt for multi-axis machining and can be finalized with only a few iterations. 2D and 3D numerical examples for heat conduction problems are studied to prove the effectiveness of the proposed method, validating improved structural performance and optimization efficiency compared to conventional TO for multi-axis machining.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115738"},"PeriodicalIF":4.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142444873","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

Koopman modeling for optimal control of the perimeter of multi-region urban traffic networks 多区域城市交通网络周边优化控制的库普曼模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-10 DOI: 10.1016/j.apm.2024.115742

Jinlong Yuan , Changzhi Wu , Zichao Liu , Shuang Zhao , Changjun Yu , Kok Lay Teo , Tao Zhou , Kuikui Gao

{"title":"Koopman modeling for optimal control of the perimeter of multi-region urban traffic networks","authors":"Jinlong Yuan , Changzhi Wu , Zichao Liu , Shuang Zhao , Changjun Yu , Kok Lay Teo , Tao Zhou , Kuikui Gao","doi":"10.1016/j.apm.2024.115742","DOIUrl":"10.1016/j.apm.2024.115742","url":null,"abstract":"<div><div>The purpose of perimeter control is to regulate the transfer flow between the perimeters of the urban traffic network, so that the vehicle aggregation in each region is maintained at a desired level. It is regarded as one of the most important methods to solve traffic congestion in urban road networks. Accurate mathematical modeling of perimeter controlled traffic dynamics remains a challenge due to its high nonlinearity and uncertainty. Machine learning methods have been used to learn traffic dynamic models for perimeter control. However, these existing techniques lack generalization and interpretability. In this paper, we propose a Koopman modeling approach (i.e., a two-stage method) that uses a new eigenfunction of the Koopman operator based on a novel <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> norm approximation to construct an interpretable finite-dimensional approximation of the Koopman operator, which is a linear operator that describes how eigenfunctions evolve along the trajectory of a specific nonlinear dynamical system. The main advantage of utilizing the Koopman operator is that it can characterize the nonlinear system in a global linear lifted feature space. Furthermore, an algorithm based on the Koopman modeling method and model predictive control is proposed for real-time perimeter control of urban road networks. Some experiments are carried out to demonstrate the effectiveness of the proposed algorithm.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115742"},"PeriodicalIF":4.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142442753","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

Multivariate sensitivity-adaptive polynomial chaos expansion for high-dimensional surrogate modeling and uncertainty quantification 用于高维代用建模和不确定性量化的多变量灵敏度自适应多项式混沌扩展

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-09 DOI: 10.1016/j.apm.2024.115746

Dimitrios Loukrezis , Eric Diehl , Herbert De Gersem

引用次数: 0

Gas liquid flow pattern prediction in horizontal and slightly inclined pipes: From mechanistic modelling to machine learning 水平和略微倾斜管道中的气液流动模式预测：从力学建模到机器学习

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-09 DOI: 10.1016/j.apm.2024.115748

Montadhar Guesmi, Johannes Manthey, Simon Unz, Richard Schab, Michael Beckmann

{"title":"Gas liquid flow pattern prediction in horizontal and slightly inclined pipes: From mechanistic modelling to machine learning","authors":"Montadhar Guesmi, Johannes Manthey, Simon Unz, Richard Schab, Michael Beckmann","doi":"10.1016/j.apm.2024.115748","DOIUrl":"10.1016/j.apm.2024.115748","url":null,"abstract":"<div><div>This paper investigates the prediction of two-phase gas-liquid flow regimes in both horizontal and slightly inclined pipes. For this purpose, the mechanistic model of Taitel et al. (1976) and the machine learning approach have been adopted. First, the mechanistic model was implemented, tested and optimised by introducing factors in the transition equations to determine the configuration that gives the highest prediction accuracy for a specific two-phase system for which experimental data points are available. Second, several machine learning models are trained, tested and additionally validated. This is done by splitting the experimental data set corresponding to the pipe inclination range (<span><math><mo>−</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>∘</mo></mrow></msup></math></span> to <span><math><msup><mrow><mn>10</mn></mrow><mrow><mo>∘</mo></mrow></msup></math></span>) into training, test and validation sets. The best classifier achieved an accuracy of 95.5% after the test step and up to 98.9% after the validation step. Finally, the Taitel et al. model with the optimal configuration and the best machine learning classifier (XGB classifier) are used to generate the two-dimensional flow regime map.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115748"},"PeriodicalIF":4.4,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142423138","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

An advance vehicle-slab track-soil dynamic interaction model based on differential quadrature finite element method 基于微分正交有限元法的先进车辆-路面-轨道-土壤动态相互作用模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-09 DOI: 10.1016/j.apm.2024.115743

Liu Pan , Lei Xu , Bin Yan

{"title":"An advance vehicle-slab track-soil dynamic interaction model based on differential quadrature finite element method","authors":"Liu Pan , Lei Xu , Bin Yan","doi":"10.1016/j.apm.2024.115743","DOIUrl":"10.1016/j.apm.2024.115743","url":null,"abstract":"<div><div>To solve the problem of large matrix size and low computational efficiency of the finite element model in the vehicle-track-soil model, the differential quadraticity finite element method (DQFEM) with both <em>p</em>-convergence and <em>h</em>-convergence is used to establish the vehicle-track-soil dynamic interaction model, and the multi-scale coupling method and wheel-rail matrix coupling method were used to connect each component of the system. The reliability of the proposed model is validated by comparing the dynamic responses obtained by the model base on the DQFEM and FEM from the perspective of time domain and frequency domain. Moreover, by comparing the characteristic frequency and its convergence characteristics of DQFEM model and FEM model, the accuracy and efficiency of the DQFEM in vehicle-track-soil system simulation is demonstrated. In the case study, the distribution of vehicle-induced vibration in vehicle-rail-soil system is analyzed in both time domain and frequency domain. It is found that the main frequency distribution of far-field vibration is only related to the vibration characteristics of soil. Therefore, the main frequency of soil vibration should be avoided in the design of track structure parameters to reduce the environmental vibration level.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115743"},"PeriodicalIF":4.4,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142444872","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