Applied Mathematical Modelling最新文献_第9页

Mathematical model for single-pile vibration displacement induced by tunnel construction vibrations based on the Pasternak model 基于帕斯捷尔纳克模型的隧道施工振动引起的单桩振动位移数学模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-04 DOI: 10.1016/j.apm.2025.116053

Rui Wang , Yongdong Peng , You Wang , Isamu Yoshitake , Bin Yan , Bosong Ding

{"title":"Mathematical model for single-pile vibration displacement induced by tunnel construction vibrations based on the Pasternak model","authors":"Rui Wang , Yongdong Peng , You Wang , Isamu Yoshitake , Bin Yan , Bosong Ding","doi":"10.1016/j.apm.2025.116053","DOIUrl":"10.1016/j.apm.2025.116053","url":null,"abstract":"<div><div>Shield tunneling in hard rock strata generates intense vibrations at the cutterhead, inducing accompanying vibrations in nearby foundation structures and ultimately reducing their bearing capacity. Numerous experiments and simulations were conducted to access the dynamic response of pile under shield tunneling vibrations, but theoretical explanations are not sufficiently reported. This study derived a single pile motion equation in the form of the Pasternak model based on Hamilton's principle. Using Lame's solution from the theory of pressure tunnels, the additional vibrational load on a single pile adjacent to a harmonically vibrating tunnel was derived and incorporated into the pile's motion equation as an excitation. The general solution was obtained using the separation of variables method. The motion equation was validated using FDM. Parameter analysis was conducted to examine the effects of pile-tunnel distance and source dynamics on the pile response mechanism. The results indicated that the motion equation accurately predicted pile deformation pattern and peak horizontal displacement, meeting design requirements. The parameter analysis indicated that the peak horizontal displacement and pile-tunnel distance relationship could be modeled using a Gaussian function, while the peak horizontal displacement exhibited a strong linear correlation with the source amplitude. The proposed pile vibration displacement model provides a theoretical reference for analyzing the dynamic response of adjacent foundations to tunnel construction vibrations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116053"},"PeriodicalIF":4.4,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143621113","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

Logistic-Gauss Circle optimizer: Theory and applications 物流-高斯循环优化器：理论与应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-02 DOI: 10.1016/j.apm.2025.116052

Jinpeng Wang , Yuansheng Gao , Lang Qin , Yike Li

{"title":"Logistic-Gauss Circle optimizer: Theory and applications","authors":"Jinpeng Wang , Yuansheng Gao , Lang Qin , Yike Li","doi":"10.1016/j.apm.2025.116052","DOIUrl":"10.1016/j.apm.2025.116052","url":null,"abstract":"<div><div>Chaotic maps can be used to make the distribution of the initial population more uniform, which improves the spatial exploration rate. Considering these advantages, this paper attempts to design search operations based on chaotic maps and develop a novel metaheuristic algorithm called the Logistic-Gauss Circle optimizer. The algorithm reasonably combines and reformulates the Logistic and Gauss maps into Logistic-Gauss search (exploration); reformulates the Circle map into Circle search (exploitation). Through these two operations, the proposed algorithm achieves global optimization. The performance of the proposed algorithm is validated by a comparative analysis with 5 high-quality metaheuristic algorithms on 10 benchmark functions. The results of statistical analyses, including the Wilcoxon signed-rank test and the Friedman test, indicate that the proposed algorithm outperforms its competitors. Furthermore, the strong competitiveness of the algorithm is verified through comparisons with 4 state-of-the-art algorithms. Finally, the proposed algorithm is applied to 5 real-world problems, thereby demonstrating its capability to address engineering optimization problems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116052"},"PeriodicalIF":4.4,"publicationDate":"2025-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563827","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

Nonlinear stability of railway locomotive system subjected to longitudinal in-train force 列车纵向力作用下铁路机车系统的非线性稳定性

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-01 DOI: 10.1016/j.apm.2025.116056

Jiacheng Wang , Liang Ling , Zhe Chen , Kaiyun Wang , Wanming Zhai

{"title":"Nonlinear stability of railway locomotive system subjected to longitudinal in-train force","authors":"Jiacheng Wang , Liang Ling , Zhe Chen , Kaiyun Wang , Wanming Zhai","doi":"10.1016/j.apm.2025.116056","DOIUrl":"10.1016/j.apm.2025.116056","url":null,"abstract":"<div><div>Hunting motion of railway vehicles frequently occurs due to severe operating conditions, significantly affecting trains’ running quality. This paper conducts a numerical investigation of the nonlinear stability of an in-train locomotive system subjected to longitudinal in-train forces, establishing a numerical model for the stability evaluation of a completely nonlinear locomotive system. The resultant bifurcation diagram method is adopted to elucidate the nonlinear stability properties of the in-train locomotive system. The simulation results indicate that the in-train locomotive system exhibits multiple solution forms and their combinations, which are significantly influenced by the forward speed. Two periodic motions exhibit a strong correlation with the vibrations of the carbody and the bogie respectively. The longitudinal in-train force remarkably influences the nonlinear stability of the in-train locomotive system. The compressive in-train force can reshape the global bifurcation form to a certain extent by suppressing the carbody hunting motion. In contrast, the stretched in-train force can offset the solutions from the speed range in which it originally exists.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116056"},"PeriodicalIF":4.4,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563826","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 stability augmentation technique for state-based peridynamics 基于状态的周动力学稳定性增强技术

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-01 DOI: 10.1016/j.apm.2025.116054

Zhe Lin , Quan Gu , Lei Wang

{"title":"A stability augmentation technique for state-based peridynamics","authors":"Zhe Lin , Quan Gu , Lei Wang","doi":"10.1016/j.apm.2025.116054","DOIUrl":"10.1016/j.apm.2025.116054","url":null,"abstract":"<div><div>State-based peridynamics (SPD) is an effective method for simulating the fracture and damage behaviors of various materials. However, SPD may suffer from zero-energy mode problems, leading to numerical instabilities, e.g., response oscillations in displacement or stress, due to its nodal integration scheme. The issues are particularly pronounced under highly non-uniform external loading conditions, such as single point loads. This paper presents a novel stability augmentation technique (SAT) for SPD under varied loading conditions. The SAT identifies points causing zero-energy mode problems and applies corrective forces at these points by replacing nodal integration with multi-point integration: it involves adding auxiliary points at the midpoints between each peridynamic (PD) point and its neighbors within the horizon, calculating the strain at each auxiliary point with a newly defined sub-horizon similar to SPD methods, computing the stresses at these points and integrating them to determine the internal force at the PD point. This innovative approach not only eliminates zero-energy modes but also preserves computational efficiency by selectively applying corrections at critical points. Moreover, it simplifies the integration process with predetermined coefficients and ensures versatility under diverse static and dynamic loading conditions. The calculations are streamlined by using existing PD horizons to define sub-horizons. Implemented in the open-source software OpenSees, the SAT is evaluated across three applications and confirmed its effectiveness in addressing stability issues in SPD.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116054"},"PeriodicalIF":4.4,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563828","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

Reduced-order modeling of Hamiltonian formulation in flexible multibody dynamics: Theory and simulations 柔性多体动力学中哈密顿公式的降阶建模：理论与仿真

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-01 DOI: 10.1016/j.apm.2025.116055

Shuonan Dong, Ryo Kuzuno, Keisuke Otsuka, Kanjuro Makihara

{"title":"Reduced-order modeling of Hamiltonian formulation in flexible multibody dynamics: Theory and simulations","authors":"Shuonan Dong, Ryo Kuzuno, Keisuke Otsuka, Kanjuro Makihara","doi":"10.1016/j.apm.2025.116055","DOIUrl":"10.1016/j.apm.2025.116055","url":null,"abstract":"<div><div>Flexible multibody dynamics has been developed as an effective method for analyzing mechanical structures, wherein the Hamiltonian formulation draws attention for advantages such as the systematic handling of systems with varying mass. However, the utilization of the finite element method typically results in a large number of variables, which deteriorates computational efficiency. An effective method to reduce the number of variables (coordinates and canonical conjugate momentum) in Hamiltonian formulation needs to be presented. This paper proposes a novel reduced-order modeling of the Hamiltonian formulation based on the component mode synthesis method. A novel definition of momentum is proposed to construct the equation of motion. Compared with conventional Hamiltonian formulations, not only generalized coordinates but also momentum is reduced. By combining the absolute nodal coordinate formulation with the proposed formulation, it is applicable to analyze nonlinear structures with large deformation and rotations. Four numerical simulations were conducted to evaluate the performance of the proposed formulation, and calculation time reductions of 52.1 %, 83.6 %, 93.4 %, and 81.5 % were achieved. Overall, the proposed Hamiltonian formulation exhibits high calculation efficiency, good numerical stability, and high accuracy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116055"},"PeriodicalIF":4.4,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601796","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

Perturbative methods and synchronous resonances in Celestial Mechanics 天体力学中的微扰方法和同步共振

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-27 DOI: 10.1016/j.apm.2025.116040

Alessandra Celletti , Irene De Blasi , Sara Di Ruzza

引用次数: 0

Prescribed performance sliding mode control for wearable exoskeletons with constrained states 具有约束状态的可穿戴外骨骼的规定性能滑模控制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-27 DOI: 10.1016/j.apm.2025.116027

Gaowei Zhang , Fei Gong , Jie Wang , Yuxiao Wang , Lili Zhang

{"title":"Prescribed performance sliding mode control for wearable exoskeletons with constrained states","authors":"Gaowei Zhang , Fei Gong , Jie Wang , Yuxiao Wang , Lili Zhang","doi":"10.1016/j.apm.2025.116027","DOIUrl":"10.1016/j.apm.2025.116027","url":null,"abstract":"<div><div>A practical fixed-time scheme with prescribed performance is proposed for the rehabilitation tasks of a two degrees-of-freedom upper-limb exoskeleton. Considering the transient and steady requirements, a time-varying function is designed to provide a prescribed upper-bound for the tracking errors and barrier Lyapunov function method is adopted to guarantee the inviolacies of the constraint requirements. Furthermore, to handle the inevitable disturbances from the mechanics and patients, a back-stepping terminal sliding mode controller is established to achieve a fixed-time convergence of the tracking errors with a designable time independent of initial states. In addition, non-smooth filter with a fixed-time form is employed to approximate the derivation of the fictitious control law such that the differential explosion problem can be avoided. Afterwards, the practical fixed-time convergence of the human-robot system is rigorously proved based on Lyapunov theory. Finally, simulation is established in Matlab/Simulink and the results are given to show the effectiveness of the proposed scheme.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116027"},"PeriodicalIF":4.4,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143636303","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

Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials 功能梯度双压电材料圆孔多界面裂纹动态断裂行为研究

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-02-27 DOI: 10.1016/j.apm.2025.116041

Ritika Singh

引用次数: 0

Ordinary state-based peridynamic formulation for cyclic elastoplastic responses 循环弹塑性响应的普通基于状态的周动力公式

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 高速磁悬浮列车运行控制的状态约束动力学模型

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