Communications in Nonlinear Science and Numerical Simulation最新文献

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Dynamical analysis of a parabolic–hyperbolic hybrid model for species with distinct dispersal and sedentary stages 具有不同分散和定居阶段的物种抛物-双曲混合模型的动力学分析
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-05 DOI: 10.1016/j.cnsns.2025.108907
Minglong Wang , Yijun Lou , Qihua Huang
{"title":"Dynamical analysis of a parabolic–hyperbolic hybrid model for species with distinct dispersal and sedentary stages","authors":"Minglong Wang ,&nbsp;Yijun Lou ,&nbsp;Qihua Huang","doi":"10.1016/j.cnsns.2025.108907","DOIUrl":"10.1016/j.cnsns.2025.108907","url":null,"abstract":"<div><div>Most marine and plant species exhibit two main life stages: a dispersing stage and a sedentary stage. These stages significantly influence the species’ spatial distribution and abundance patterns. To accurately depict the spatial patterns of these species, this paper investigates a hybrid system that combines parabolic and hyperbolic elements, effectively differentiating between the dispersal and sedentary stages. Further spatiotemporal dynamical analysis is conducted to comprehend the large-scale distribution patterns and geographic ranges. Specifically, the model is reformulated into a time-delayed nonlocal system. The existence of spreading speed and its alignment with the minimal wave speed for monotone traveling waves are confirmed for unbounded spatial domains. Meanwhile, a threshold-type result is observed regarding the global attractiveness of the zero or positive steady state for bounded domains. Conditions for population persistence and extinction under both Neumann and Dirichlet boundary conditions are derived. It is further established that the persistence or extinction of the population may be determined by a critical domain size under Dirichlet boundary conditions. Numerical simulations are conducted to provide additional quantitative results, complementing the theoretical findings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108907"},"PeriodicalIF":3.4,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143911783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Attitude stabilization of a rigid body with measurement noise and time-delayed feedback 具有测量噪声和时滞反馈的刚体姿态稳定
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-03 DOI: 10.1016/j.cnsns.2025.108887
Manmohan Sharma , Ramalingam Sakthivel
{"title":"Attitude stabilization of a rigid body with measurement noise and time-delayed feedback","authors":"Manmohan Sharma ,&nbsp;Ramalingam Sakthivel","doi":"10.1016/j.cnsns.2025.108887","DOIUrl":"10.1016/j.cnsns.2025.108887","url":null,"abstract":"<div><div>The article presents a method to stabilize the attitude of a rigid body in the presence of measurement noise and delayed feedback on the nonlinear manifold <span><math><mrow><mi>T</mi><mi>S</mi><mi>O</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span>. It is assumed that the measurements of angular velocity and attitude are influenced by a bounded white noise process. The analysis of such a system cannot be done with ordinary differential equations, but stochastic functional differential equations should be invoked. Moreover, for the stability analysis, It <span><math><mover><mrow><mi>o</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></math></span>’s formula has been derived on <span><math><mrow><mi>T</mi><mi>S</mi><mi>O</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span> since the commonly used It <span><math><mover><mrow><mi>o</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></math></span>’s formula cannot be used on <span><math><mrow><mi>T</mi><mi>S</mi><mi>O</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span>. Finally, Lyapunov Razumikhin’s theorem has been used to derive a condition for stabilizing attitude with delayed feedback. Simulation and comparison results have been presented to validate the theoretical findings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108887"},"PeriodicalIF":3.4,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Research on thermal-lubrication-mechanics coupling dynamic characteristic for rolling bearing 滚动轴承热-润滑-力学耦合动态特性研究
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-02 DOI: 10.1016/j.cnsns.2025.108931
Shuai Mo , Yingxin Zhang , Keren Chen , Bowei Yao , Sujiao Chen , Yurong Huang , Wenai Shi , Nanjiang Peng , Haruo Houjoh , Wei Zhang
{"title":"Research on thermal-lubrication-mechanics coupling dynamic characteristic for rolling bearing","authors":"Shuai Mo ,&nbsp;Yingxin Zhang ,&nbsp;Keren Chen ,&nbsp;Bowei Yao ,&nbsp;Sujiao Chen ,&nbsp;Yurong Huang ,&nbsp;Wenai Shi ,&nbsp;Nanjiang Peng ,&nbsp;Haruo Houjoh ,&nbsp;Wei Zhang","doi":"10.1016/j.cnsns.2025.108931","DOIUrl":"10.1016/j.cnsns.2025.108931","url":null,"abstract":"<div><div>This paper aims to study the multi-physics coupling interaction mechanism between thermal, lubrication and dynamics of bearings. Firstly, considering the influence of clearance, the load distribution integral is introduced to evaluate the non-uniform load characteristics of the bearing. On this basis, the bearing point contact lubrication model was established based on elastohydrodynamic lubrication theory. Secondly, the heat transfer mesh model of the bearing was established based on the heat transfer theory to solve the thermal expansion of the bearing assembly. Furthermore, the lubrication model, heat transfer mesh model and existing mechanics model are coupled through the clearance factor, the bearing dynamics model considering the TLM (thermal-lubrication-mechanics) coupling characteristics was established, and the step-by-step correlation solution method was proposed which can effectively solve the coupled model. Finally, by comparing with the existing mechanical models, the effect mechanism of load parameters, bearing parameters and lubricating oil parameters on the dynamic response of the TLM model was analyzed. The research content supplements and optimizes the existing bearing dynamics models and analysis methods, and provides theoretical guidance for designers to effectively evaluate the impact of more comprehensive engineering factors on the bearing dynamic.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108931"},"PeriodicalIF":3.4,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143907667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reverse aperiodic resonance in low- to high-dimensional bistable systems: A complement to stochastic resonance studies in logic circuits 低至高维双稳系统中的逆非周期共振:对逻辑电路中随机共振研究的补充
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-02 DOI: 10.1016/j.cnsns.2025.108930
Mengen Shen , Jianhua Yang , MiguelA.F. Sanjuán , Huatao Chen , Zhongqiu Wang
{"title":"Reverse aperiodic resonance in low- to high-dimensional bistable systems: A complement to stochastic resonance studies in logic circuits","authors":"Mengen Shen ,&nbsp;Jianhua Yang ,&nbsp;MiguelA.F. Sanjuán ,&nbsp;Huatao Chen ,&nbsp;Zhongqiu Wang","doi":"10.1016/j.cnsns.2025.108930","DOIUrl":"10.1016/j.cnsns.2025.108930","url":null,"abstract":"<div><div>As circuits continue to shrink in size, noise has emerged as a critical challenge in achieving optimal performance. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations are limited to basic logical functions such as OR, AND, NOR, and NAND, restricting broader applications. This paper introduces a three-dimensional (3D) coupling model to investigate the counterintuitive phenomena that arise in nonlinear systems under noise. Compared to the one-dimensional Langevin equation and the two-dimensional Duffing equation, the 3D coupling model features more adjustable parameters and coupling interactions, enhancing the system's dynamic behavior. The study demonstrates that increasing noise intensity triggers reverse aperiodic resonance, leading to signal phase reversal and amplitude amplification. This phenomenon is attributed to the motion of Brownian particles in a bistable potential well. Additionally, reverse aperiodic resonance addresses the lack of logical negation in traditional stochastic resonance systems by introducing noise-driven phase reversal, providing a novel alternative to conventional inverters.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108930"},"PeriodicalIF":3.4,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Random vortex and expansion-rate model for Oberbeck–Boussinesq fluid flows Oberbeck-Boussinesq流体流动的随机涡旋和膨胀速率模型
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-02 DOI: 10.1016/j.cnsns.2025.108883
Zihao Guo , Zhongmin Qian , Zihao Shen
{"title":"Random vortex and expansion-rate model for Oberbeck–Boussinesq fluid flows","authors":"Zihao Guo ,&nbsp;Zhongmin Qian ,&nbsp;Zihao Shen","doi":"10.1016/j.cnsns.2025.108883","DOIUrl":"10.1016/j.cnsns.2025.108883","url":null,"abstract":"<div><div>By using a formulation of a class of compressible viscous flows with a heat source via vorticity and expansion-rate, we study the Oberbeck–Boussinesq flows. To this end we establish a new integral representation for solutions of parabolic equations subject to certain boundary condition, which allows us to develop a random vortex method for certain compressible flows and to compute numerically solutions of their dynamical models. Numerical experiments are carried out, which not only capture detailed Bénard convection but also are capable of providing additional information on the fluid density and the dynamics of expansion-rate of the flow.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108883"},"PeriodicalIF":3.4,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Three-dimensional blade tip clearance response analysis of rotating shaft-disk-blade system with oblique cracked blade 斜裂叶片转轴-盘-叶片系统叶尖间隙三维响应分析
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-01 DOI: 10.1016/j.cnsns.2025.108932
Xiaodong Zhang , Chengxiong Tu , Fei Dai , Bochao Fan
{"title":"Three-dimensional blade tip clearance response analysis of rotating shaft-disk-blade system with oblique cracked blade","authors":"Xiaodong Zhang ,&nbsp;Chengxiong Tu ,&nbsp;Fei Dai ,&nbsp;Bochao Fan","doi":"10.1016/j.cnsns.2025.108932","DOIUrl":"10.1016/j.cnsns.2025.108932","url":null,"abstract":"<div><div>The rotating shaft-disk-blade system(RSDBS) is the crucial part of turbomachinery. Among RSDBS, crack is the most common failure mode of the blade. The crack propagation is affected by many factors such as stress state and environmental conditions, leading to the randomness of the crack angle. This study focuses on the dynamic modeling and analysis of the three-dimensional blade tip clearance (3D-BTC) response of the RSDBS with an oblique crack in the blade. Firstly, by reconstructing the geometrical correction factor and the stress intensity factor and based on the stress state at the crack section, an oblique cracked blade model is developed. This model enables the calculation of blade stiffness variations caused by cracks at different angles. Subsequently, Euler beam theory and the Lagrange equation are used to formulate a dynamic model of the RSDBS involving an oblique blade crack. The model comprehensively accounts for shaft bending, shaft torsion, radial deformation of the blade, flap-wise bending, and chordwise bending. The proposed model accuracy is validated by comparisons with finite element (FE) simulations and experimental data. Finally, simulations of the dynamic model are performed, and the time and frequency domain response of the 3D-BTC for the RSDBS are analyzed. The characterization indexes and their quantification methods for two types of oblique cracks in blades are proposed. Numerical studies demonstrate that the proposed indexes can accurately characterize the angle of cracks in rotating blades, rendering them suitable as crack monitoring indicators.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108932"},"PeriodicalIF":3.4,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new pathway for controlling absence seizures by reducing GABA uptake from astrocytes: a dynamical perspective 通过减少星形胶质细胞对GABA的摄取来控制失神发作的新途径:一个动力学的观点
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-01 DOI: 10.1016/j.cnsns.2025.108929
Jinyi Zhao , Qingyun Wang , Ying Yu
{"title":"A new pathway for controlling absence seizures by reducing GABA uptake from astrocytes: a dynamical perspective","authors":"Jinyi Zhao ,&nbsp;Qingyun Wang ,&nbsp;Ying Yu","doi":"10.1016/j.cnsns.2025.108929","DOIUrl":"10.1016/j.cnsns.2025.108929","url":null,"abstract":"<div><div>Modeling studies associated with absence epilepsy often consider neural circuits and neglect the critical involvement of glial cells. Recently, the view that astrocytes are new targets for the treatment of epilepsy has received increasing attention. Based on the established basal ganglia-corticothalamic (BGCT) mean-field model involving glutamate (GLU) dynamics in the extracellular space of cerebral cortex, by introducing γ-aminobutyric acid (GABA) dynamical processes, we further extend the model and explore the effectiveness of inhibiting the GABA uptake from cortical astrocytes (<em>V</em><sub>gai</sub>) in controlling seizures induced by different triggers. The results show that reducing <em>V</em><sub>gai</sub> can control seizures to a certain extent, regardless of the neural triggers with two types of abnormal feedforward inhibition or the astrocytic triggers with insufficient glutamate uptake from astrocytes. Although no uniform conclusions are achieved by comparing the above measure for the control of seizures caused by different triggers, it is worth noting that the setting of the initial condition greatly affects the control rate of spike wave discharges (SWDs). Appropriate selection of initial values can make reducing GABA uptake from astrocytes more effective in eliminating SWDs. Our results provide a theoretical basis for the treatment of epilepsy by targeting astrocytes from a dynamical perspective.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108929"},"PeriodicalIF":3.4,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143911782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a reaction–diffusion–advection cholera model: The effects of advection and human behavior change 关于反应-扩散-平流霍乱模型:平流和人类行为改变的影响
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-30 DOI: 10.1016/j.cnsns.2025.108908
Xiaoya Gong, Ran Zhang, Jinliang Wang
{"title":"On a reaction–diffusion–advection cholera model: The effects of advection and human behavior change","authors":"Xiaoya Gong,&nbsp;Ran Zhang,&nbsp;Jinliang Wang","doi":"10.1016/j.cnsns.2025.108908","DOIUrl":"10.1016/j.cnsns.2025.108908","url":null,"abstract":"<div><div>In order to understand how advection and human behaviors affect dynamics of cholera transmission, we focus on a reaction–diffusion–advection cholera model in a heterogeneous environment, where human behavior change describes the reliance on contaminated water sources and advection reflects spread of cholera along a theoretical river. We first show the well-posedness and then get the global dynamical results of the model in terms of the basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>. In a homogeneous environment, we also obtain the global attractivity of the endemic equilibrium by using a Lyapunov functional. Through performing some numerical simulations, we also obtain that <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is decreasing with respect to the advection rate. Our results indicate that an increase in the rate of advection could enhance the invasion of cholera at the downstream end of the river, but the complexities of the disease transmission can be induced by human behavior and spatial heterogeneity, as well as the hydrological and environmental factors.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108908"},"PeriodicalIF":3.4,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Distributed optimization for nonlinear multiagent systems with unknown control directions 控制方向未知的非线性多智能体系统的分布式优化
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-30 DOI: 10.1016/j.cnsns.2025.108882
Jing Zhang , Shuai Liu , Jianwei Xia , Ju H. Park
{"title":"Distributed optimization for nonlinear multiagent systems with unknown control directions","authors":"Jing Zhang ,&nbsp;Shuai Liu ,&nbsp;Jianwei Xia ,&nbsp;Ju H. Park","doi":"10.1016/j.cnsns.2025.108882","DOIUrl":"10.1016/j.cnsns.2025.108882","url":null,"abstract":"<div><div>In this paper, the optimization problem of uncertain nonlinear multiagent systems is studied. It is important to note that the control directions of the studied systems are unknown. By designing a suitable state transformation, the nonlinear multiagent systems with unknown control directions are transformed into the nonlinear multiagent systems with known control directions. However, the states of the transformed systems are not directly accessed. The observers are developed to estimate the states of the transformed systems. Furthermore, auxiliary systems are proposed based on the gradient algorithm to make the states of the auxiliary systems converge to the optimal solution of the distributed optimization problem. It is worthy noting that the auxiliary systems in this paper only consider the real-time gradient rather than the auxiliary systems’ states gradient, which is of great practical value and significance. At this point, we transform the optimization problem into a tracking problem. Next, the controller based on Nussbaum function is constructed to realize the tracking from the outputs of the nonlinear multiagent systems to auxiliary systems. It turns out that the outputs of the nonlinear multiagent systems converge to the optimal solution of the optimization problem asymptotically under the adaptive feedback controller and auxiliary systems proposed. Simulation example demonstrates the effectiveness of the proposed method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108882"},"PeriodicalIF":3.4,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A nonlinear Hermite-based Ritz method for dynamic snap-through of kelvin sandwich arches on discontinuous elastic foundations under moving loads 移动荷载作用下非连续弹性地基开尔文夹层拱的非线性Hermite-based Ritz方法
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-30 DOI: 10.1016/j.cnsns.2025.108925
Guoqiang Zhang , Hai Shao , Yongjian Zhou
{"title":"A nonlinear Hermite-based Ritz method for dynamic snap-through of kelvin sandwich arches on discontinuous elastic foundations under moving loads","authors":"Guoqiang Zhang ,&nbsp;Hai Shao ,&nbsp;Yongjian Zhou","doi":"10.1016/j.cnsns.2025.108925","DOIUrl":"10.1016/j.cnsns.2025.108925","url":null,"abstract":"<div><div>This study investigates the nonlinear dynamic behavior and snap-through instability of shallow sandwich arches under a moving point load. The arches comprise an open-cell Kelvin foam core sandwiched among nanocomposite face sheets strengthened by graphene platelets (GPLs), featuring functional grading. The foam characteristics are obtained by considering the bending, twisting, and stretching of cell edges, which are modeled by the plateau borders. The skin characteristics are derived using the Halpin-Tsai micromechanical rule. The structural stability is adjusted by a discontinuous point elastic foundation. The third-order shear deformation theory is utilized to model displacements accurately. The energy-based Ritz method, utilizing Hermite polynomial shape functions, effectively addresses the challenges of discontinuities and point loads. Temporal dynamics are analyzed using the Newmark time marching procedure. Using the Budiansky criterion, the critical load magnitude and velocity are calculated. Model validation is conducted through comparisons with literature on more limited problems, ensuring the model's accuracy. Parametric studies provide critical insights for engineering applications in transportation, civil infrastructure, mechanical systems, and aerospace, facilitating the design of arch systems to avoid dynamic instability.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108925"},"PeriodicalIF":3.4,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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