Applied Mathematical Modelling最新文献_第5页

Modeling the dynamic behavior of a coupled nonlinear flexible marine riser

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-05 DOI: 10.1016/j.apm.2025.116051

M.L. Santos , C.A. da Costa Baldez , V. Narciso

{"title":"Modeling the dynamic behavior of a coupled nonlinear flexible marine riser","authors":"M.L. Santos , C.A. da Costa Baldez , V. Narciso","doi":"10.1016/j.apm.2025.116051","DOIUrl":"10.1016/j.apm.2025.116051","url":null,"abstract":"<div><div>In this paper we analyze the dynamic aspect of a coupled system with a von Kármán type nonlinearity. First, using an approach of linear semigroup method combined with standard procedure for nonlinear evolution equations we obtain the global solution. Later, we use the energy perturbation method to establish the exponential decay of the solution as time goes to infinity. In the sequence, due to the non-linearity of the model we propose an effective numerical scheme using the finite element approximation for the variational formulation form corresponding. Then, using the Nakao Method, we show that the energy of the approximate solutions decays exponentially to zero, as time approaches to infinity and we show the rate convergence of the approximate model. Also, we present a numerical approximation to our system to obtain the numerical solution. The algorithms are based on the finite element method of the spatial variable and the implicit Newmark method to the discretized the temporal variable. We finish with some performed numerical experiments to highlight our theoretical results. It is worth noting that this type of approach has not been used in the literature.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116051"},"PeriodicalIF":4.4,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563829","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

Mathematical model for single-pile vibration displacement induced by tunnel construction vibrations based on the Pasternak model

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

Petrov-Galerkin zonal free element method for piezoelectric structures

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-04 DOI: 10.1016/j.apm.2025.116057

Yi Yang , Bing-Bing Xu , Jun Lv , Miao Cui , Huayu Liu , Xiaowei Gao

{"title":"Petrov-Galerkin zonal free element method for piezoelectric structures","authors":"Yi Yang , Bing-Bing Xu , Jun Lv , Miao Cui , Huayu Liu , Xiaowei Gao","doi":"10.1016/j.apm.2025.116057","DOIUrl":"10.1016/j.apm.2025.116057","url":null,"abstract":"<div><div>This paper presents a novel Petrov-Galerkin free element method (PGPZ-FREM) based on a combination of the strong form free element method (FREM), sub-domain mapping technique, and Petrov-Galerkin method for analyzing piezoelectric structures. This is a brand new numerical method that combines the ideas of isogeometric method and meshless method. Similar to the isogeometric method, the computational domain is divided into a lot of patches or subdomains firstly. In each subdomain, local collocation Lagrangian elements are generated according to the location of the nodes. Additionally, the Heaviside step function is selected as the weight function to simplify the calculations. By constructing equations point by point, a set of linear algebraic equations is established to solve the piezoelectric problem. Finally, the accuracy and stability of the piezoelectric zonal Petrov-Galerkin free element method are verified by numerical examples, including a symmetric piezoelectric block, a piezoelectric tuning fork, a dual-material MFC sensor, and the wing skin pressure sensing system.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116057"},"PeriodicalIF":4.4,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563830","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

Logistic-Gauss Circle optimizer: Theory and applications

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

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

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

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

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

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

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