Applied Mathematical Modelling最新文献

Low-frequency and broadband vibration self-suppression of fluid-conveying pipelines via metamaterial-inspired design 基于超材料启发设计的输液管道低频宽带振动自抑制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-02-05 DOI: 10.1016/j.apm.2026.116818

Yang Bu , Ye Tang , Dongyang Chen , Tianzhi Yang , Qian Ding

{"title":"Low-frequency and broadband vibration self-suppression of fluid-conveying pipelines via metamaterial-inspired design","authors":"Yang Bu , Ye Tang , Dongyang Chen , Tianzhi Yang , Qian Ding","doi":"10.1016/j.apm.2026.116818","DOIUrl":"10.1016/j.apm.2026.116818","url":null,"abstract":"<div><div>Phononic crystal (PC) pipelines conveying fluid have been widely utilized in engineering structures for vibration suppression. However, their practical application remains constrained by two persistent challenges: the difficulty in achieving simultaneous low-frequency and broadband vibration attenuation, and the lack of effective strategies for directional band gap (BG) design. Inspired by metamaterial concepts, this study presents a hierarchical pipeline meta structure composed of periodically arranged lattices. Each lattice incorporates a pair of oppositely oriented sub-lattices with acoustic black hole (ABH) geometries. Through mechanical modeling based on Timoshenko beam theory and semi-analytical solutions combining the spectral element method (SEM) with the transfer matrix method (TMM), the dynamic characteristics including natural frequencies, frequency responses, and BGs are systematically investigated. The results demonstrate that the band gap (BG) width not only determines the vibration suppression frequency range but also exhibits a positive correlation with attenuation effectiveness. An increase in the flow velocity of the conveyed fluid adversely affects the stability of the pipeline meta structure. However, within the critical flow velocity range, its impact on the BGs remains negligible. Furthermore, BG characteristics are simultaneously governed by sublattice configuration and ABH geometric parameters. Specifically, asymmetric lattice designs incorporating different materials or geometric configurations facilitate broadband BG formation. The ABH parameters offer precise tunability: increasing the power-law exponent induces a low-frequency shift of the BGs, whereas enlarging the maximum outer diameter effectively broadens the BGs’ bandwidth. These findings present a promising strategy for overcoming current limitations in periodic pipeline applications.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116818"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134737","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

Fractal invariance-constrained deep learning for spatial-temporal prediction of turbulent flows 湍流时空预测的分形不变性约束深度学习

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-01-13 DOI: 10.1016/j.apm.2026.116754

Min Luo , Jiaxin Wu

{"title":"Fractal invariance-constrained deep learning for spatial-temporal prediction of turbulent flows","authors":"Min Luo , Jiaxin Wu","doi":"10.1016/j.apm.2026.116754","DOIUrl":"10.1016/j.apm.2026.116754","url":null,"abstract":"<div><div>Spatial-temporal prediction of turbulence remains an important and challenging task in fluid dynamics. This study proposes a fractal invariance-constrained deep learning model, which is characterized by two novel components: (1) a main network equipped with a multi-scale feature reuse mechanism for reduced-order modelling and flow state prediction; and (2) a physical constraint derived from the fractal theory to quantify and regularize scale-invariant self-similarities of fluid dynamic systems. The proposed physical constraint is then embedded into the main network, leading to the proposed model that integrates the efficiency of a deep learning network and the accuracy of physical constraints for flow state prediction. Moreover, a novel learning strategy is proposed to learn turbulence fluctuations at high frequencies and improve the training efficiency of the proposed model. Results on five self-affine fractal images and two turbulence cases demonstrate that the proposed model has achieved a threefold higher efficiency and 40 times improvement in prediction accuracy compared to the purely data-driven methods. Particularly in reconstructing physical quantities, such as the energy spectra and probability density functions of flow fields, the proposed model achieves up to a hundredfold improvement in accuracy. These results highlight the role of constraint in guiding the main network to accurately capture scale invariances and predict kinetic energy within high-frequency subranges.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116754"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145962515","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

Strain-gradient solution for solid-state ion diffusion induced stress in cylindrical nanowires with dislocation effects 具有位错效应的圆柱形纳米线中固态离子扩散诱导应力的应变梯度解

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-01-23 DOI: 10.1016/j.apm.2026.116772

M.R. Delfani, M. Yadollahi

{"title":"Strain-gradient solution for solid-state ion diffusion induced stress in cylindrical nanowires with dislocation effects","authors":"M.R. Delfani, M. Yadollahi","doi":"10.1016/j.apm.2026.116772","DOIUrl":"10.1016/j.apm.2026.116772","url":null,"abstract":"<div><div>The widespread application of nanowires in various industries, particularly in battery technology where they serve as electrode materials, has attracted considerable research attention. In this context, the present study aims at developing a cylindrical continuum model for such nanostructures and deriving analytical solutions for the elastic and plastic fields induced therein by solid-state ion diffusion and the presence of dislocations. Given the significance of size effects in nanoscale solid-mechanics problems, Helmholtz-type strain-gradient theory is employed to provide a size-dependent continuum framework for describing the relevant field quantities. The results obtained here indicate that dislocations contribute to a reduction in the overall stress levels within these structures. Additionally, it is shown that decreasing the cross-sectional radius of the nanowires leads to a further reduction in the diffusion-induced stress, even resulting in a transition from tensile to compressive stress states. This transition may facilitate crack closure, suggesting a hardening effect associated with structural miniaturization.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116772"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033521","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

Analytical dynamic modeling and aeroelastic stability of arbitrarily restrained aerospace composite structure with stiffener and external store 带有加劲筋和外储层的任意约束航空复合材料结构解析动力学建模及气动弹性稳定性

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-01-20 DOI: 10.1016/j.apm.2026.116783

Huagang Lin , Hui Feng , Jiabo Wang , Dengqing Cao

{"title":"Analytical dynamic modeling and aeroelastic stability of arbitrarily restrained aerospace composite structure with stiffener and external store","authors":"Huagang Lin , Hui Feng , Jiabo Wang , Dengqing Cao","doi":"10.1016/j.apm.2026.116783","DOIUrl":"10.1016/j.apm.2026.116783","url":null,"abstract":"<div><div>An analytical model to investigate the effect of stiffener and external store on vibration characteristics and aeroelastic stability of composite laminated structures including the supersonic panel system and subsonic wing system is proposed. Employing Von-Karman theory to describe the geometric nonlinearity, the dynamics equations for the stiffened plate with store considering the pitching and plunging motion are established by means of Hamilton principle. A pair of acting force and reacting load are introduced to describe the interactions between the panel and stiffener considering the deformation compatibility, and the coupling between the store and the stiffened plate is described by the suspensions. The partial differential equations are discretized into a set of ordinary differential equations by Galerkin approach, where the mode function is set up and artificial springs are adopted. A detailed discussion is presented on the effect of the stiffener on the flutter, in which the critical flutter velocity of stiffened system increased by 18.07 % and the limit cycle oscillations (LCO) amplitude is significantly reduced. The artificial spring stiffness, external store mass, center of gravity position, ply angle are chosen to investigate the influence on flutter stability. Besides, the wing model with an external engine is discussed based on modal testing and parameter analysis, where the aeroelastic stability is characterized by small damping flutter coupling between the wing mode and the engine mode. With the change of engine mass and installation position, the flutter stability of the wing changes significantly.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116783"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146014474","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

An efficient parallelized adaptive learning framework for small failure probability analysis 小故障概率分析的高效并行自适应学习框架

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-01-21 DOI: 10.1016/j.apm.2026.116785

Jiaguo Zhou , Guoji Xu , Qi Tao , Yongle Li , Jinsheng Wang

{"title":"An efficient parallelized adaptive learning framework for small failure probability analysis","authors":"Jiaguo Zhou , Guoji Xu , Qi Tao , Yongle Li , Jinsheng Wang","doi":"10.1016/j.apm.2026.116785","DOIUrl":"10.1016/j.apm.2026.116785","url":null,"abstract":"<div><div>In this study, an efficient parallelized adaptive learning framework is developed for estimating small failure probabilities. The method introduces a parallelized infilling criterion in which pseudo-learning functions, augmented by an influence factor, approximate the impact of newly selected samples on the learning-function values without requiring prior evaluations of the true performance function. An adaptive strategy is further employed to determine the optimal batch size in each iteration. Following the principle of maximizing uncertainty reduction in failure-probability estimation, an error-based learning-function allocation strategy is proposed to dynamically choose the most suitable function from a predefined library. For rare-failure scenarios, a Markov chain Monte Carlo-based importance sampling (MCMC-IS) scheme is adopted, in which a kernel density function is used to construct the IS density from the final failure population generated by MCMC. The effectiveness and robustness of the proposed framework are demonstrated through three numerical benchmarks and a suspension bridge subjected to wind and lane actions, with failure probabilities ranging from 10<sup>–5</sup> to 10<sup>–9</sup>.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116785"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146014793","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

Fisher-based inaccuracy measure in terms of survival function: Applications in reliability and image segmentation 基于生存函数的fisher不准确性度量：在可靠性和图像分割中的应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-01-29 DOI: 10.1016/j.apm.2026.116797

Omid Kharazmi , Femin Yalcin

{"title":"Fisher-based inaccuracy measure in terms of survival function: Applications in reliability and image segmentation","authors":"Omid Kharazmi , Femin Yalcin","doi":"10.1016/j.apm.2026.116797","DOIUrl":"10.1016/j.apm.2026.116797","url":null,"abstract":"<div><div>In this paper, we introduce a cumulative version of the Fisher-based inaccuracy information measure in both model-based and parameter-based forms, formulated in terms of the survival function. We establish results related to aging concepts in survival analysis and reliability engineering and, in particular, derive several results concerning the connections between the proposed inaccuracy information measure and fundamental stochastic orderings, including the usual stochastic order, hazard rate order, and dispersive order. Furthermore, we derive upper bounds for the proposed inaccuracy measure under arithmetic and geometric mixture survival models and extend the classical Gini coefficient through a weighted formulation, obtaining explicit expressions for this measure in terms of the equilibrium distribution. The behavior of the cumulative residual Fisher-based inaccuracy measure is also examined for convoluted and proportional hazard-convoluted survival functions under increasing and decreasing failure rate assumptions commonly used in reliability analysis.</div><div>In addition, two applications of the proposed measure are presented. The first concerns image quality assessment, where Gaussian noise is added to an image at varying signal-to-noise ratios (SNRs) to simulate different noise levels. The second application incorporates the measure into a novel image segmentation algorithm. The performance of the proposed algorithm is evaluated against benchmark unsupervised methods, including Otsu’s thresholding and <em>K</em>-means clustering, using supervised ground-truth-based metrics such as the Adjusted Rand Index (ARI), Accuracy, Recall, F1-score, Dice coefficient, and Jaccard index.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116797"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072010","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

Phase field fracture in elasto-plastic solids: Numerical implementation and application to transversely isotropic fiber-reinforced composites 弹塑性固体中的相场断裂：数值实现及其在横向各向同性纤维增强复合材料中的应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-01-18 DOI: 10.1016/j.apm.2026.116769

Jiajun Zhang , Jialu Guo , Chencheng Feng , Jing Wang , Yang Zhang , A.S. Ademiloye

{"title":"Phase field fracture in elasto-plastic solids: Numerical implementation and application to transversely isotropic fiber-reinforced composites","authors":"Jiajun Zhang , Jialu Guo , Chencheng Feng , Jing Wang , Yang Zhang , A.S. Ademiloye","doi":"10.1016/j.apm.2026.116769","DOIUrl":"10.1016/j.apm.2026.116769","url":null,"abstract":"<div><div>Due to their superior tensile properties, fiber-reinforced composite (FRC) structures have been widely applied in modern industries. This study employs phase field modeling to simulate the process of elastic-plastic fracture in FRC structures. In this study, we first establish a constitutive model for elastoplastic solids and a phase field model for fracture in solid materials. By employing the Newton-Raphson iterative method, the displacement field and phase field are solved separately based on an alternating iterative scheme. Subsequently, we presented three numerical examples to demonstrate the robustness and accuracy of the proposed model. First, we simulated the elastoplastic fracture response of isotropic materials and validate the accuracy of the elastoplastic fracture phase field model. Next, we examined the tensile and fracture behaviors of unidirectional fiber reinforced composite plate with a central circular hole and varying fiber angles. Finally, the influence of curved fiber on the unilateral tensile fracture of FRC plates was investigated. Considering the pronounced heterogeneity between fibers and matrix materials, this study assumes that the fibers remain in the linear elastic regime and introduces a yield function to describe the matrix behavior. Our computational results demonstrate the accuracy and robustness of the proposed model for predicting the elastoplastic fracture response of FRC structures. Furthermore, we observed that in comparison to the elastic phase field fracture model, the occurrence of fracture is delayed when an elasto-plastic phase model is employed due to the complex interactions between the plastic dissipation energy and the fracture energy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116769"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995117","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

Evolution of cooperative behavior in multi-level groups with multi-stage interactions 具有多阶段互动的多层次群体合作行为演化

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-01-19 DOI: 10.1016/j.apm.2026.116780

Ji Quan , Xinyue Huang , Xianjia Wang

{"title":"Evolution of cooperative behavior in multi-level groups with multi-stage interactions","authors":"Ji Quan , Xinyue Huang , Xianjia Wang","doi":"10.1016/j.apm.2026.116780","DOIUrl":"10.1016/j.apm.2026.116780","url":null,"abstract":"<div><div>Most studies on cooperation focus on single-group settings, yet individuals in real societies often belong to multiple nested groups. In such multi-group contexts, cooperation within higher-tier groups is difficult to sustain. To address this challenge, this study develops a two-stage game model where individuals participate in both a smaller “local group” and a larger “global group”. The model introduces group boundary fluidity and mutual assistance frequency, with interaction frequency serving as the key channel linking local and global cooperation. Analytical and simulation results show that higher interaction frequency, greater boundary fluidity, and stronger mutual assistance benefits significantly enhance global cooperation. Enlarging local group size generally promotes cooperation, though under low mobility and weak assistance, it may instead hinder global cooperation. Moreover, the analysis reveals a threshold effect: when mutual assistance frequency surpasses a critical level, its marginal impact on global cooperation diminishes. This study offers a new theoretical perspective on sustaining cooperation in higher-tier groups and deepens the understanding of cooperative dynamics in multi-group social structures.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116780"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146000850","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

SAM-DNN: Bilevel convergent sequential averaging methods with denoising neural network SAM-DNN：带去噪神经网络的双水平收敛顺序平均方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-02-05 DOI: 10.1016/j.apm.2026.116817

Shuchang Zhang , Kangkang Deng , Hui Zhang , Hongxia Wang

引用次数: 0

Modeling and dynamics analysis of a rigid-flexible coupled satellite 刚柔耦合卫星的建模与动力学分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2026-08-01 Epub Date: 2026-02-05 DOI: 10.1016/j.apm.2026.116808

Zelin Zhao , Liang Sun , Xurui Zhao , Yu Liu

{"title":"Modeling and dynamics analysis of a rigid-flexible coupled satellite","authors":"Zelin Zhao , Liang Sun , Xurui Zhao , Yu Liu","doi":"10.1016/j.apm.2026.116808","DOIUrl":"10.1016/j.apm.2026.116808","url":null,"abstract":"<div><div>In this paper, a novel rigid-flexible coupled satellite with a fixed space net is studied, which has significant advantages in deep space exploration, space-based power generation and space debris removal. The flexible space net is characterized by large deformation and low-frequency vibration, which severely impact the satellite attitude. A dynamic model of a continuous rigid-flexible system that considers the geometric nonlinearity of the space net is established. Furthermore, to account for the low-frequency vibration characteristics and locally fixed boundary conditions of the space net, two sets of vibration displacement functions for its in-plane and out-of-plane vibrations are proposed to discretize the continuous system. The accuracy of the established dynamic model is subsequently verified in both the frequency and time domains using a finite element model (FEM) and multibody dynamics (MBD), respectively. Several numerical examples are studied to analyze the complex dynamic behavior and reveal the motion mechanism of the rigid–flexible coupled system. The simulation results demonstrate that the tangential vibration of the space net primarily affects the satellite's roll and yaw attitude, whereas the radial and axial vibrations mainly influence the pitch attitude. Additionally, the contribution of tangential vibration to the satellite’s three-axis attitude disturbance is approximately 42.3%, whereas the contributions of radial and axial vibrations are approximately 27.3% and 30.4%, respectively.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116808"},"PeriodicalIF":4.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134746","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