Applied Mathematical Modelling最新文献_第6页

Ordinary state-based peridynamic formulation for cyclic elastoplastic responses

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-27 DOI: 10.1016/j.apm.2025.116049

Binchao LIU , Rui BAO

{"title":"Ordinary state-based peridynamic formulation for cyclic elastoplastic responses","authors":"Binchao LIU , Rui BAO","doi":"10.1016/j.apm.2025.116049","DOIUrl":"10.1016/j.apm.2025.116049","url":null,"abstract":"<div><div>Peridynamic (PD) constitutive relationship for cyclic elastoplasticity, especially Bauschinger effects, is still lacking, which hinders the full play of its unique advantages in fatigue analysis on problems of low-cycle-fatigue and effects of crack-tip plasticity. This study proposes an ordinary state-based peridynamic formulation for metal cyclic elastoplastic responses, in which the von Mises yield function, plastic flow rule and hardening law are respectively established, and the model parameters are calibrated to classical plasticity theory for both 2-dimensional cases (plane stress & plane strain) and 3-dimensional cases. For the first time, particularly, this study proposes the internal variable of back bond stretch in peridynamics to describe kinematic hardening, which enables the common kinematic hardening laws such as Chaboche law to be realized within the framework of peridynamic theory, and the formulation of material parameter calibration is also presented. Compared with analytical solutions by several typical benchmark examples, the proposed model fully demonstrates its capability of describing cyclic elastoplastic responses and cyclic hardening/softening effects, with <span><math><mi>δ</mi></math></span>-convergence and <span><math><mi>m</mi></math></span>-convergence both achieved. The proposed model founds the basis for analyzing fatigue problems in which cyclic plasticity plays an important role.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116049"},"PeriodicalIF":4.4,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143534347","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

State-constrained dynamic model for operation control of high-speed maglev trains

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-26 DOI: 10.1016/j.apm.2025.116043

Yuhao Zheng , Jingyu Huang , Xiaonong Wang , Xinxin Fu , Hao Zeng

{"title":"State-constrained dynamic model for operation control of high-speed maglev trains","authors":"Yuhao Zheng , Jingyu Huang , Xiaonong Wang , Xinxin Fu , Hao Zeng","doi":"10.1016/j.apm.2025.116043","DOIUrl":"10.1016/j.apm.2025.116043","url":null,"abstract":"<div><div>Based on a state-constrained model predictive control strategy, incorporating relaxation factors into the cost function, we address open-loop instability and excessive vertical dynamic responses for high-speed maglev trains (velocity, acceleration) caused by track irregularities. This approach addresses the open-loop instability and the excessive vertical velocity and acceleration responses caused by track irregularities. Simulation results under various operating conditions demonstrate the effectiveness of the proposed strategy in reducing the maximum vertical responses of the high-speed maglev train compared to an unconstrained approach. Adjusting the prediction time domain and weight parameters analyzes the impact on the suspension state, and thresholds for effective control are determined. The research findings indicate that the proposed strategy, combining relaxation factors and state constraints, offers significant advantages in precise system control, multi-objective optimization of control parameters, and enhanced system adaptability under complex operating conditions. This provides a theoretical foundation and data support for optimizing the stability control of high-speed maglev levitation systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116043"},"PeriodicalIF":4.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143534346","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 solutions of rotationally restrained stepped thick rectangular plates utilizing a symplectic analytical framework

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-26 DOI: 10.1016/j.apm.2025.116044

Yueqing Shi , Dongqi An , Zhaoyang Hu , Zhenhuan Zhou , Rui Li

{"title":"Free vibration solutions of rotationally restrained stepped thick rectangular plates utilizing a symplectic analytical framework","authors":"Yueqing Shi , Dongqi An , Zhaoyang Hu , Zhenhuan Zhou , Rui Li","doi":"10.1016/j.apm.2025.116044","DOIUrl":"10.1016/j.apm.2025.116044","url":null,"abstract":"<div><div>The rotationally restrained stepped thick plates are widely applied as structural components for their merits on flexible rigidity distributions. However, the benchmark analytical free vibration solutions were intractable in terms of the complexities in treating the abrupt thickness changes and the rotationally restrained constraints involved. In this work, we develop an innovative symplectic analytical framework to tackle such issues. The free vibration governing equation of stepped thick plates is firstly converted into the symplectic space, and then solved by the integration of the subdomain division technique and the symplectic superposition method. The final analytical solutions are accessible by summing the subplates’ solutions. The solution process is rigorous and rational, meaning no solution forms need to be assumed in advance. On the basis of the developed framework, a series of new analytical solutions are presented with validations. Furthermore, comprehensive parametric analyses and discussions are conducted, which may provide guidance for a rapid structural design and optimization of stepped plates.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116044"},"PeriodicalIF":4.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563433","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 review of decision diagrams in system reliability modeling and analysis

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-26 DOI: 10.1016/j.apm.2025.116039

Liudong Xing

引用次数: 0

Three operator learning models for solving boundary integral equations in 2D connected domains

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-26 DOI: 10.1016/j.apm.2025.116034

Bin Meng , Yutong Lu , Ying Jiang

{"title":"Three operator learning models for solving boundary integral equations in 2D connected domains","authors":"Bin Meng , Yutong Lu , Ying Jiang","doi":"10.1016/j.apm.2025.116034","DOIUrl":"10.1016/j.apm.2025.116034","url":null,"abstract":"<div><div>This paper proposes three operator learning models based on the boundary integral equations method, which can solve linear elliptic partial differential equations on arbitrary 2D domains. The models presented in this paper do not require retraining when solving partial differential equations defined on new 2D geometric domains after initial training. By introducing boundary parameter equations, we transform the problem of solving 2D partial differential equations on different geometric domains into solving 1D boundary integral equations defined on a fixed interval. This approach ensures that the models do not require retraining when solving partial differential equations on new solution domains. Moreover, due to the dimensionality reduction property of boundary integral equations, generating training data for neural operators learning boundary integral equations is easier than for neural operators learning partial differential equations. We further demonstrate the application of these models to address potential flow problems, elastostatic problems, and acoustic obstacle scattering problems. These applications demonstrate the models' effectiveness in addressing partial differential equations in different 2D domains.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116034"},"PeriodicalIF":4.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143520705","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

Tailoring circumferential traveling waves in a damped circular plate coupled to a spring-mass oscillator using phased force excitations

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-25 DOI: 10.1016/j.apm.2025.116045

Xiangle Cheng , Huancai Lu , Dapeng Tan , Xia Hua

{"title":"Tailoring circumferential traveling waves in a damped circular plate coupled to a spring-mass oscillator using phased force excitations","authors":"Xiangle Cheng , Huancai Lu , Dapeng Tan , Xia Hua","doi":"10.1016/j.apm.2025.116045","DOIUrl":"10.1016/j.apm.2025.116045","url":null,"abstract":"<div><div>We develop an analytical approach to produce circumferential traveling waves in a lightly damped circular plate under the cyclic symmetry-breaking scenario caused by a local spring-mass oscillator, using three-point actuators distributed either uniformly or nonuniformly along a circumferential path. Modal analysis and forced vibration of the lightly damped plate-oscillator system are examined. The addition of the spring-mass oscillator leads to separation of the degenerate modes and to associated frequency curve-veering phenomena. The plate-oscillator system exhibits two adjacent modes with nearly identical natural frequencies, which closely resemble the degenerate cosine and sine modes of an axisymmetric pure plate. A typical degenerate mode pair of a pure (uniform) plate is first selected, and the actuators’ positions, amplitudes and phases are tuned based on wave kinematics to achieve continuous rotation of the plate mode. Next, an approximately degenerate mode pair resembling the pure plate modes is identified, and the excitation frequency is optimized using a standing-wave ratio and a traveling-wave index based on complex orthogonal decomposition to generate circumferential traveling waves in the plate-oscillator system. It is found that standing waves occur at the resonance frequency; however, by tuning the excitation frequency to a value halfway between the natural frequencies of the two adjacent modes, the effects of dynamical imperfections can be mitigated, leading to traveling waves. Adding external damping can result in partially modulated standing waves, which is much more significant in nonuniform configurations. The wave dynamics are verified through finite element analysis. This work will be helpful for practical application of particle transport on two-dimensional surfaces by robust circumferential traveling waves.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116045"},"PeriodicalIF":4.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143592003","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

Water-salt transport optimizer for solving continuous and discrete global optimization problems

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-24 DOI: 10.1016/j.apm.2025.116029

Changjiang Ren , Ziyu Guan

{"title":"Water-salt transport optimizer for solving continuous and discrete global optimization problems","authors":"Changjiang Ren , Ziyu Guan","doi":"10.1016/j.apm.2025.116029","DOIUrl":"10.1016/j.apm.2025.116029","url":null,"abstract":"<div><div>The <strong><em>Water-Salt Transport Optimizer</em></strong> introduces a novel, nature-inspired metaheuristic model that blends the complexity of natural phenomena with computational efficiency for optimization tasks. Drawing inspiration from the transport of water and salt in soil, <strong><em>Water-Salt Transport Optimizer</em></strong> employs a unique, three-pronged approach: mechanical dispersion for global search, molecular diffusion for local refinement, and a distinctive particle mutation mechanism to preserve diversity. This combination effectively prevents premature convergence, fostering a dynamic search process that balances exploration and exploitation. Extensive benchmarking against 116 Congress on Evolutionary Computation 2017 benchmark functions, 6 engineering problems, 7 vehicle routing problems, and a cold chain distribution logistics model demonstrates <strong><em>Water-Salt Transport Optimizer</em></strong> 's superior performance, surpassing 33 established algorithms. Statistical analyses validate these findings, highlighting <strong><em>Water-Salt Transport Optimizer</em></strong> 's adaptability and promising potential across a wide range of optimization applications. In the spirit of advancing collaborative research, all relevant materials related to <strong><em>Water-Salt Transport Optimizer</em></strong> will be made openly available upon acceptance to facilitate future investigations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116029"},"PeriodicalIF":4.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143551061","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

Adaptive weighted approach for high-dimensional statistical learning and inference

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-21 DOI: 10.1016/j.apm.2025.116036

Jun Lu , Xiaoyu Ma , Mengyao Li , Chenping Hou

引用次数: 0

Experimental observer-based delayed control of wheeled mobile robots

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-21 DOI: 10.1016/j.apm.2025.116038

Jesús Abraham Rodríguez-Arellano , Roger Miranda-Colorado , Raúl Villafuerte-Segura , Luis T. Aguilar

{"title":"Experimental observer-based delayed control of wheeled mobile robots","authors":"Jesús Abraham Rodríguez-Arellano , Roger Miranda-Colorado , Raúl Villafuerte-Segura , Luis T. Aguilar","doi":"10.1016/j.apm.2025.116038","DOIUrl":"10.1016/j.apm.2025.116038","url":null,"abstract":"<div><div>Wheeled mobile robots are essential mechatronic systems that have attracted attention in different applications in industry and for research. One essential task commanded to a wheeled mobile robot is following a desired reference signal. However, in practical situations, wheeled mobile robots are always affected by disturbances diminishing the closed-loop performance. Hence, this manuscript develops a novel robust control scheme that allows accomplishing a trajectory-tracking task including disturbances. A disturbance observer is designed to compensate for disturbances in the proposed methodology. Also, the delay theory is used to design a proportional-retarded controller that makes the wheeled mobile robot's position and orientation signals converge to their desired references asymptotically. A theoretical development proves the effectiveness of the new scheme. The novel methodology is compared against other robust control methodologies from the literature. Various experiments on a scaled vehicle demonstrate that the novel controller outperforms the other robust controllers, thus representing a viable choice for controlling wheeled mobile robots.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116038"},"PeriodicalIF":4.4,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143488374","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 meshfree approach for the rennet-induced coagulation equation: Spline based multistage Bernstein collocation method and its convergence analysis

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-21 DOI: 10.1016/j.apm.2025.116035

Nikhil Sriwastav , Ashok Das , Orest Shardt , Jitendra Kumar , Mehakpreet Singh

{"title":"A meshfree approach for the rennet-induced coagulation equation: Spline based multistage Bernstein collocation method and its convergence analysis","authors":"Nikhil Sriwastav , Ashok Das , Orest Shardt , Jitendra Kumar , Mehakpreet Singh","doi":"10.1016/j.apm.2025.116035","DOIUrl":"10.1016/j.apm.2025.116035","url":null,"abstract":"<div><div>The initial phases of milk coagulation for cheese manufacturing can be tracked by an integro-differential equation known as a population balance equation. In this article, a new analytical approach using multistage Bernstein polynomials is presented to solve a rennet-induced coagulation equation for the first time. The existence of the solution and convergence analysis of the proposed approach are discussed in detail to support the mathematical formulation. Our main interest is in computing the integral moments, such as the number and total volume/mass of casein micelles over time. These moments are evaluated by approximating them with the linear combinations of Bernstein polynomials that involve unknown coefficients. Furthermore, the unknown coefficients are determined by selecting an appropriate number of collocation points, based on the considered time span of the process. To test the accuracy and efficiency of the new approach, the new analytical solutions for the integral moments are obtained for constant, sum and product coagulation kernels and results are verified by comparing with the existing finite volume scheme and Picard's method.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116035"},"PeriodicalIF":4.4,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143488378","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