Communications in Nonlinear Science and Numerical Simulation最新文献_第10页

Dynamic instability and nonlinear response analysis of nanocomposite sandwich arches with viscoelastic cores 带粘弹性芯材的纳米复合材料夹层拱的动态不稳定性和非线性响应分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-29 DOI: 10.1016/j.cnsns.2024.108426

Minge Yang , Junyi He , Qiqing Yue , Hua Tang

{"title":"Dynamic instability and nonlinear response analysis of nanocomposite sandwich arches with viscoelastic cores","authors":"Minge Yang , Junyi He , Qiqing Yue , Hua Tang","doi":"10.1016/j.cnsns.2024.108426","DOIUrl":"10.1016/j.cnsns.2024.108426","url":null,"abstract":"<div><div>This paper presents a comprehensive study of the nonlinear dynamic behavior and snap-through phenomena in sandwich arch structures with viscoelastic cores and carbon nanotube-reinforced nanocomposite face sheets. Subjected to uniform time-dependent pressure shocks, these arches exhibit complex snap-through behavior critical for practical engineering applications. Utilizing third-order shear deformation theory, the study accurately captures nonlinear behaviors. The viscoelastic core, modeled with the Kelvin-Voigt law, enhances damping and reduces vibration amplitudes. Numerical solutions are obtained using a Chebyshev-based Ritz method, Newmark integration, and Newton-Raphson method. The Budiansky-Ruth criterion evaluates dynamic buckling loads. Key findings include significant instability near buckling loads, increased buckling loads and vibration damping due to viscoelastic effects, reduced buckling loads with foam cores, improved performance with CNTs, and more pronounced CNT effects with greater deflections. Additional conclusions highlight the sensitivity of dynamic snap-through to geometric parameters and the superior accuracy of the proposed approach compared to traditional models. This research advances the understanding and design strategies for nonlinear sandwich arch structures, enhancing predictive capabilities in complex structural systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108426"},"PeriodicalIF":3.4,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578208","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

Study of immune response in a latent tuberculosis infection model 潜伏肺结核感染模型的免疫反应研究

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-29 DOI: 10.1016/j.cnsns.2024.108404

Hui Cao , Jianquan Li , Pei Yu

{"title":"Study of immune response in a latent tuberculosis infection model","authors":"Hui Cao , Jianquan Li , Pei Yu","doi":"10.1016/j.cnsns.2024.108404","DOIUrl":"10.1016/j.cnsns.2024.108404","url":null,"abstract":"<div><div>A simple mathematical model describing the immune response during the stage latent tuberculosis infection is established and analyzed. The main purpose of this study is to explore the sustained immune response of the immune system against invaded Mycobacterium tuberculosis in the stage of latent tuberculosis infection. First, the threshold <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is defined to determine the occurrence of sustained immune response. Then, stability conditions are derived to show that the sustained immune response may converge to a constant or to a stable periodical oscillation, implying that the Mycobacterium tuberculosis, the infected macrophages, the activated uninfected macrophages, and the immune cells coexist to form the tuberculous granuloma structure. This structure may appear calcified if the system solution converges to a constant, or maintains a dynamic balance if the system solution undergoes a periodical oscillation. These findings well demonstrate the process of sustained immune response in the latent tuberculosis infection as the Mycobacterium tuberculosis is changing. Numerical examples are presented to illustrate the theoretical predictions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108404"},"PeriodicalIF":3.4,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142572687","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

Inverse uncertainty quantification for stochastic systems by resampling. Applications to modeling of alcohol consumption and infection by HIV 通过重采样对随机系统进行反向不确定性量化。应用于酒精消费和艾滋病毒感染建模

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-28 DOI: 10.1016/j.cnsns.2024.108401

Julia Calatayud , Marc Jornet , Carla M.A. Pinto

{"title":"Inverse uncertainty quantification for stochastic systems by resampling. Applications to modeling of alcohol consumption and infection by HIV","authors":"Julia Calatayud , Marc Jornet , Carla M.A. Pinto","doi":"10.1016/j.cnsns.2024.108401","DOIUrl":"10.1016/j.cnsns.2024.108401","url":null,"abstract":"<div><div>A random differential equation, or stochastic differential equation with parametric uncertainty, is a classical differential equation whose input values (coefficients, initial conditions, etc.) are random variables. Given data, the probability distributions of the input random parameters must be appropriately inferred, before proceeding to simulate the model’s output. This task is called inverse uncertainty quantification. In this paper, the goal is to study the applicability of the Bayesian bootstrap to draw inferences on the posterior distributions of the parameters, by resampling the residuals of the deterministic least-squares optimization with Dirichlet weights. The method is based on repeated deterministic calibrations. Thus, to alleviate the curse of dimensionality, the technique may be combined with the principle of maximum entropy for densities, when there are some parameters that are not optimized deterministically. For illustration of the methodology, two case studies on important health topics are conducted, with stochastic fitting to data. The first one, on past alcohol consumption in Spain, taking social contagion into account. The second one, on HIV evolution considering CD4<span><math><msup><mrow></mrow><mrow><mo>+</mo></mrow></msup></math></span> T cells and viral load, with a patient in clinical follow-up. All these applied models are built from a compartmental viewpoint, with a randomized basic reproduction number that controls the long-term behavior of the system.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108401"},"PeriodicalIF":3.4,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554126","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 multiple-strain pathogen model with diffusion on the space of Radon measures 在拉顿测量空间上具有扩散作用的多菌株病原体模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-28 DOI: 10.1016/j.cnsns.2024.108402

Azmy S. Ackleh , Nicolas Saintier , Aijun Zhang

引用次数: 0

Novel conformal structure-preserving schemes for the linearly damped nonlinear Schrödinger equation 线性阻尼非线性薛定谔方程的新型保角结构方案

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-24 DOI: 10.1016/j.cnsns.2024.108400

Renjie Han , Yezi Xu , Hao Fu , Dong Yan

引用次数: 0

Symbolic dynamics approach to find periodic windows: The case study of the Rössler system 寻找周期窗口的符号动力学方法：罗斯勒系统案例研究

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-24 DOI: 10.1016/j.cnsns.2024.108403

Zbigniew Galias

引用次数: 0

Fractional derivative of Hermite fractal splines on the fractional-order delayed neural networks synchronization 关于分数阶延迟神经网络同步的赫米特分形样条的分数导数

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-23 DOI: 10.1016/j.cnsns.2024.108399

S.S. Mohanrasu , T.M.C. Priyanka , A. Gowrisankar , Ardak Kashkynbayev , K. Udhayakumar , R. Rakkiyappan

引用次数: 0

An optimal nonlinear fractional order controller for passive/active base isolation building equipped with friction-tuned mass dampers 配备摩擦调谐质量阻尼器的被动/主动基础隔震建筑的最优非线性分数阶控制器

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-22 DOI: 10.1016/j.cnsns.2024.108405

Morteza Akbari , Abbas-Ali Zamani , Mohammad Seifi , Bartolomeo Pantò , Tomasz Falborski , Robert Jankowski

{"title":"An optimal nonlinear fractional order controller for passive/active base isolation building equipped with friction-tuned mass dampers","authors":"Morteza Akbari , Abbas-Ali Zamani , Mohammad Seifi , Bartolomeo Pantò , Tomasz Falborski , Robert Jankowski","doi":"10.1016/j.cnsns.2024.108405","DOIUrl":"10.1016/j.cnsns.2024.108405","url":null,"abstract":"<div><div>This paper presents an optimal nonlinear fractional-order controller (ONFOC) designed to reduce the seismic responses of tall buildings equipped with a base-isolation (BI) system and friction-tuned mass dampers (FTMDs). The parameters for the BI and FTMD systems, as well as their combinations (BI-FTMD and active BI-FTMD or ABI-FTMD), were optimized separately using a multi-objective quantum-inspired seagull optimization algorithm (MOQSOA). The seismic performances of the BI, FTMD, BI-FTMD, and ABI-FTMD systems for a 15-storey building subjected to two far-field (Loma Prieta and Landers) and two near-fields (Tabas and Northridge) earthquakes were evaluated. The results indicated that structures with BI, FTMD, BI-FTMD, and ABI-FTMD systems outperformed the uncontrolled structure in reducing structural responses during the design earthquakes (Loma Prieta and Tabas). However, under validation earthquakes (Landers and Northridge), the peak acceleration of the building with the FTMD system was worse than that of the uncontrolled structure during the near-field Northridge earthquake. To address this issue, we proposed a combination of the active BI system and the FTMD system. Time history analysis results demonstrated that for the building equipped with the ABI-FTMD system, the peak displacement, peak acceleration, and peak inter-storey drift were reduced by approximately 60%, 64%, and 78%, respectively, as compared to the uncontrolled structure.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108405"},"PeriodicalIF":3.4,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535993","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

Environmental management and restoration under unified risk and uncertainty using robustified dynamic Orlicz risk 利用稳健的动态奥利奇风险，在统一风险和不确定性条件下进行环境管理和恢复

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-20 DOI: 10.1016/j.cnsns.2024.108398

Hidekazu Yoshioka , Motoh Tsujimura , Futoshi Aranishi , Tomomi Tanaka

{"title":"Environmental management and restoration under unified risk and uncertainty using robustified dynamic Orlicz risk","authors":"Hidekazu Yoshioka , Motoh Tsujimura , Futoshi Aranishi , Tomomi Tanaka","doi":"10.1016/j.cnsns.2024.108398","DOIUrl":"10.1016/j.cnsns.2024.108398","url":null,"abstract":"<div><div>Environmental management and restoration should be designed such that the risk and uncertainty owing to nonlinear stochastic systems can be successfully addressed. We apply the robustified dynamic Orlicz risk to the modeling and analysis of environmental management and restoration to consider both the risk and uncertainty within a unified theory. We focus on the control of a jump-driven hybrid stochastic system that represents macrophyte dynamics. The dynamic programming equation based on the Orlicz risk is first obtained heuristically, from which the associated Hamilton–Jacobi–Bellman (HJB) equation is derived. In the proposed Orlicz risk, the risk aversion of the decision-maker is represented by a power coefficient that resembles a certainty equivalence, whereas the uncertainty aversion is represented by the Kullback–Leibler divergence, in which the risk and uncertainty are handled consistently and separately. The HJB equation includes a new state-dependent discount factor that arises from the uncertainty aversion, which leads to a unique, nonlinear, and nonlocal term. The link between the proposed and classical stochastic control problems is discussed with a focus on control-dependent discount rates. We propose a finite difference method for computing the HJB equation. Finally, the proposed model is applied to an optimal harvesting problem for macrophytes in a brackish lake that contains both growing and drifting populations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108398"},"PeriodicalIF":3.4,"publicationDate":"2024-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142704791","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

Existence of global attractor in reaction–diffusion model of obesity-induced Alzheimer’s disease and its control strategies 肥胖诱发阿尔茨海默病的反应-扩散模型中全局吸引子的存在及其控制策略

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-18 DOI: 10.1016/j.cnsns.2024.108396

Ranjit Kumar Upadhyay , Debasish Pradhan , Rana D. Parshad , Parimita Roy

{"title":"Existence of global attractor in reaction–diffusion model of obesity-induced Alzheimer’s disease and its control strategies","authors":"Ranjit Kumar Upadhyay , Debasish Pradhan , Rana D. Parshad , Parimita Roy","doi":"10.1016/j.cnsns.2024.108396","DOIUrl":"10.1016/j.cnsns.2024.108396","url":null,"abstract":"<div><div>Evidence suggests that obesity, diabetes, and aging notably increase susceptibility to dementia-related conditions such as Alzheimer’s disease (AD). This article explores the correlations between obesity, diabetes, and AD. It introduces a diffusion-driven model encompassing variables like glucose dynamics, insulin levels, beta cells, microglia, cytokines, amyloid-<span><math><mi>β</mi></math></span> plaques, neurofibrillary tangles (<span><math><mi>τ</mi></math></span> plaques), neurodegeneration, and cognitive decline. The study includes stability analysis (local and global), examining boundedness and long-time behavior via showing the existence of a global attractor for the diffusion-driven model. A global sensitivity analysis, utilizing the Partial Rank Correlation Coefficient (PRCC), identifies factors sensitively impacting <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>β</mi></mrow></msub></math></span> plaque growth, <span><math><mi>τ</mi></math></span> plaques, and neurodegeneration. The deterministic model solution illustrates spatiotemporal dynamics, revealing a link between obesity and Alzheimer’s, which is characterized by distinct patchy patterns. While Alzheimer’s has no cure, employing optimal control techniques can help alleviate its effects and enhance affected individuals’ quality of life. An optimal control problem for AD management is developed, optimizing multiple aspects of disease management. The study highlights the efficacy of long-term healthy lifestyle practices and customized anti-amyloid therapy in significantly delaying obesity-induced AD progression. This research sheds light on the connection between obesity and Alzheimer’s, underscoring the negative impact of pro-inflammatory microglia on cognitive decline while proposing control strategies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108396"},"PeriodicalIF":3.4,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535991","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