Applied Mathematical Modelling最新文献_第3页

Theoretical and experimental investigations on the impact resistance of fiber polymer cylindrical shells with functional gradient protective coatings

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-13 DOI: 10.1016/j.apm.2025.116095

Haiyang Zhang , Xiangping Wang , Hui Li , Pengchao Li , Junxue Hou , Hang Cao , Duokui Yu

{"title":"Theoretical and experimental investigations on the impact resistance of fiber polymer cylindrical shells with functional gradient protective coatings","authors":"Haiyang Zhang , Xiangping Wang , Hui Li , Pengchao Li , Junxue Hou , Hang Cao , Duokui Yu","doi":"10.1016/j.apm.2025.116095","DOIUrl":"10.1016/j.apm.2025.116095","url":null,"abstract":"<div><div>A dynamic model of fiber polymer cylindrical shells covered with functional gradient protective coatings (FGCs) is proposed in this work to predict impact characteristics when low-velocity oblique impact loading is considered. The material properties of the FGCs attached to both the inner and outer surfaces of the structures is defined, and the related failure modes and different energy-absorbing mechanisms associated with penetration damage are clarified. Also, by employing the proposed penetration judgement approach based on impact energy, the solution equations are derived to predict the penetrating or non-penetrating dynamic parameters. After constructing the low-speed drop hammer and high-speed gas gun impact systems, detailed tests are conducted to obtain time-history curves of impact forces, force-displacement curves, structural damage areas, and residual impact energies. These results are analyzed for projectiles with different impact velocities and energies. Moreover, these experimental data are compared to the calculated results to fully validate the developed model as well as evaluate the impact resistance of the structure with and without FGCs. Finally, the influence of crucial coating parameters on structural impact resistance is investigated, with several beneficial design suggestions being refined. The dynamic model and solution techniques developed in this work can be readily extended to the impact resistance evaluation of other advanced composite shell structures with coating materials.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116095"},"PeriodicalIF":4.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675622","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

The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-13 DOI: 10.1016/j.apm.2025.116094

Shaonan Lu , Shenghu Ding , Yuanyuan Ma , Baowen Zhang , Xuefen Zhao , Xing Li

{"title":"The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals","authors":"Shaonan Lu , Shenghu Ding , Yuanyuan Ma , Baowen Zhang , Xuefen Zhao , Xing Li","doi":"10.1016/j.apm.2025.116094","DOIUrl":"10.1016/j.apm.2025.116094","url":null,"abstract":"<div><div>The interaction between cracks is the main cause of material failure when the material contains multiple cracks. Using the classical Kachanov method and Fourier integral transformation, the thermoelastic behavior of one-dimensional hexagonal (1DH) quasicrystals (QCs) containing two asymmetric collinear cracks in a non-periodic plane is studied. Considering the interaction between cracks, the solutions of the thermal stress intensity factors (TSIFs), and strain energy density factors (SEDFs) are determined. Numerical results analyze the influence of the coupling coefficients, external loads, thermal conductivity and crack interaction coefficients on the temperature, TSIFs and SEDFs. The results show that when the spacing between cracks is smaller than the length of each crack, the collinear cracks will influence each other more. The propagation of cracks can be suppressed by selecting QCs with appropriate coupling coefficients. These results enhance the understanding of crack interaction mechanisms in QCs and the impact of micro-cracks on the main crack, with a novel contribution being the comprehensive consideration of both crack interaction in QCs using the Kachanov method.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116094"},"PeriodicalIF":4.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675625","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

Tangential stiffness model of the joint surface considering contact angles between asperities based on fractal theory

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-12 DOI: 10.1016/j.apm.2025.116088

Yongchang Li, Guangpeng Zhang, Zhenyang Lv, Ke Chen

{"title":"Tangential stiffness model of the joint surface considering contact angles between asperities based on fractal theory","authors":"Yongchang Li, Guangpeng Zhang, Zhenyang Lv, Ke Chen","doi":"10.1016/j.apm.2025.116088","DOIUrl":"10.1016/j.apm.2025.116088","url":null,"abstract":"<div><div>Based on fractal theory, the tangential contact model for a joint surface, taking into account the contact angle between asperities, was developed by incorporating Gorbatikh's contact angle probability distribution function. Mathematical expressions for the stages of a single asperity and the entire joint surface were derived. The quantitative effects of fractal parameters, friction coefficient, material properties, normal and tangential loading forces, and repeated loading on tangential stiffness were analyzed theoretically, and a dedicated testing platform was constructed to validate the accuracy of the model. The results show that the proposed model enhances stiffness prediction accuracy. The increase in contact stiffness is primarily determined by the fractal dimension and the number of repeated loadings. Tangential contact stiffness initially increases and then decreases with the fractal dimension <em>D</em>, reaching its maximum value when <em>D</em> = 2.6. Multiple loadings significantly improved stiffness, which gradually stabilized. After three loading cycles, the stiffness reached over 90 % of the maximum value, stabilizing at 1.21 times the initial loading stiffness when <em>D</em> > 2.6. This study provides a systematic analysis of the quantitative effects of various factors on tangential contact stiffness, offering both a theoretical foundation and practical guidance for optimizing the assembly process.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116088"},"PeriodicalIF":4.4,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644462","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

Dual-quaternion-based kinematic calibration in robotic hand-eye systems: A new separable calibration framework and comparison

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-10 DOI: 10.1016/j.apm.2025.116076

Xiao Wang, Hanwen Song

{"title":"Dual-quaternion-based kinematic calibration in robotic hand-eye systems: A new separable calibration framework and comparison","authors":"Xiao Wang, Hanwen Song","doi":"10.1016/j.apm.2025.116076","DOIUrl":"10.1016/j.apm.2025.116076","url":null,"abstract":"<div><div>The kinematic calibration of the robotic hand-eye system is formulated as solving the <span><math><mi>A</mi><mi>X</mi><mo>=</mo><mi>X</mi><mi>B</mi></math></span> problem, with calibration accuracy serving as the sole evaluation criterion. Whether the rotational and translational parts of the kinematic equations are calculated decoupled or not, being regarded as an important factor affecting the calibration accuracy, serves as a categorization criterion to form the separable and simultaneous methods. While it is widely acknowledged that both separable and simultaneous methods have distinct advantages and disadvantages, no definitive conclusions have been reached. This is primarily due to the challenges of isolating various influencing factors and the inherent coupling among them. This study addresses the problem within the theoretical framework of dual quaternion, excluding accuracy variations attributable to computational tools. First, a kinematic calibration framework is established by introducing the generalized conjugate formula, which accommodates existing simultaneous methods. Subsequently, a separable framework is proposed, incorporating Chasles' decoupling of the generalized conjugate formula. In the experiments, a pose optimization scheme based on permutations and combinations is developed. This scheme decouples the primary influencing factors and clarifies the applicability conditions of both separable and simultaneous methods. The proposed calibration scheme can be directly applied to robot motion planning.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116076"},"PeriodicalIF":4.4,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601795","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 models for truck-drone routing problem: Literature review 卡车-无人机路由问题的数学模型：文献综述

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-09 DOI: 10.1016/j.apm.2025.116074

He Luo , Jie Duan , Guoqiang Wang

引用次数: 0

Civil aircraft weight and center-of-gravity real-time estimation via the six-degree-of-freedom model with variable center of mass

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-07 DOI: 10.1016/j.apm.2025.116063

Shaobo Zhai , Guangwen Li , Penghui Huang , Mingshan Hou

{"title":"Civil aircraft weight and center-of-gravity real-time estimation via the six-degree-of-freedom model with variable center of mass","authors":"Shaobo Zhai , Guangwen Li , Penghui Huang , Mingshan Hou","doi":"10.1016/j.apm.2025.116063","DOIUrl":"10.1016/j.apm.2025.116063","url":null,"abstract":"<div><div>This article addresses the issue of civil aircraft weight and center-of-gravity position real-time estimation using the six-degree-of-freedom model with variable center of mass, and derives the explicit expressions for aircraft weight and longitudinal center-of-gravity. Firstly, the nonlinear six-degree-of-freedom aircraft model with center-of-gravity variations is established, where the moment correction is considered. Subsequently, an aircraft weight estimation method via force analysis and an aircraft longitudinal center-of-gravity position estimation method via moment transformation are developed, and the acceleration correction is derived. Furthermore, a fuel system architecture is introduced, and the active center-of-gravity controller is designed. <strong><em>To assess the effectiveness of the proposed method, a series of numerical simulations are operated, integrating sensitivity analysis with quantitative calculation. The results demonstrate that the algorithm achieves consistent and reliable performance even under parameter perturbations, with the longitudinal center-of-gravity position estimation error remaining within ±2 % of the mean aerodynamic chord (MAC).</em></strong></div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116063"},"PeriodicalIF":4.4,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143643861","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

Metamaterial-based vibration suppression stories (VSSs) for mitigating train-induced structural vibrations in multi-story and high-rise buildings

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-07 DOI: 10.1016/j.apm.2025.116075

Feifei Sun , Chao Zeng , Wenhan Yin , Jiaqi Wen

{"title":"Metamaterial-based vibration suppression stories (VSSs) for mitigating train-induced structural vibrations in multi-story and high-rise buildings","authors":"Feifei Sun , Chao Zeng , Wenhan Yin , Jiaqi Wen","doi":"10.1016/j.apm.2025.116075","DOIUrl":"10.1016/j.apm.2025.116075","url":null,"abstract":"<div><div>With the rapid development of urban rail transit systems, the issues of structural vibration and re-radiated noise in adjacent buildings have become increasingly prominent. This paper investigates the feasibility of a novel metamaterial-based Vibration Suppression Stories (VSSs) for mitigating train-induced structural vibrations from the perspective of vibration propagation. A Lumped Parameter Model (LPM) has been developed to accurately predict the dynamic behavior of single-span multi-story and high-rise buildings under vertical ground excitations induced by train operations. The validity of this model has been confirmed through finite element analysis of a 12-story building. Additionally, an in-depth analysis has been conducted on the attenuation zone characteristics of an infinite controlled structure equipped with VSS oscillators. A closed-form analytical expression has been derived to provide insight into the general attenuation behavior of dual-oscillator metamaterials. The results show that the VSSs perform well in the high-frequency range. Furthermore, the local resonance of the beam-restrained floor slabs enhances the vibration attenuation capacity of the VSSs in the frequency range above the slab's natural frequency. To quantitatively evaluate the vibration attenuation performance of the VSS, vibration transmission and response history analyses are performed on a 12-story building equipped with three VSSs. The results indicate that the VSSs significantly suppress target peak responses, particularly for high-frequency global vibrations. This research presents a new and effective approach for addressing train-induced vibration issues in buildings.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116075"},"PeriodicalIF":4.4,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143621118","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

Moment-based Hermite model for asymptotically small non-Gaussianity

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-07 DOI: 10.1016/j.apm.2025.116061

Vincent Denoël

引用次数: 0

Image reconstruction method for segmental limited-angle CT based on coupled relative structure

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-07 DOI: 10.1016/j.apm.2025.116066

Changcheng Gong , Qiang Song , Jianxun Liu

{"title":"Image reconstruction method for segmental limited-angle CT based on coupled relative structure","authors":"Changcheng Gong , Qiang Song , Jianxun Liu","doi":"10.1016/j.apm.2025.116066","DOIUrl":"10.1016/j.apm.2025.116066","url":null,"abstract":"<div><div>Reducing scanning time or radiation doses is a primary demand in computed tomography (CT) imaging. Few-view CT and limited-angle CT are considered as two effective imaging ways to meet this demand. However, they both face different challenges in practical applications, such as difficulties in technical implementation and image reconstruction. This study focuses on a special imaging strategy called segmental limited-angle (SLA) CT, where the scanning angular range is composed of multiple segments. This strategy helps to avoid difficulties in technical implementation and reduces the complexity of CT reconstruction. However, SLA projections inherit the properties of limited-angle projections, and the reconstructed images may encounter pronounced shading artifacts. This paper proposes a reconstruction model based on coupled relative structure (CRS) and presents an algorithm to solve this model. The CRS method utilizes mutual structure features between the prior image and target image to guide image reconstruction, rather than relying solely on the prior image. To demonstrate its effectiveness, we conduct numerical simulation experiments and real CT data experiments. The reconstruction results indicate that the target image can inherit prior structures and keep away from reconstruction errors that may be introduced by inconsistent structures. Compared to other methods, the images reconstructed by our method are closer to the reference images.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116066"},"PeriodicalIF":4.4,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143621116","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

Modeling and controlling spatiotemporal malware propagation in mobile Internet of Things

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-06 DOI: 10.1016/j.apm.2025.116042

Huiying Cao , Da-Tian Peng , Dengxiu Yu

{"title":"Modeling and controlling spatiotemporal malware propagation in mobile Internet of Things","authors":"Huiying Cao , Da-Tian Peng , Dengxiu Yu","doi":"10.1016/j.apm.2025.116042","DOIUrl":"10.1016/j.apm.2025.116042","url":null,"abstract":"<div><div>The mobility of devices in mobile Internet of Things (IoT) enables dynamic interactions, facilitating the spatiotemporal malware propagation. However, few studies have focused on accurately modeling and effectively controlling this form of malware propagation. To address this issue, we propose a theoretical framework that integrates patch-malware spreading dynamics with optimal patch allocation policy. First, we establish a novel temporal multilayer network comprising a central node, a patch dissemination layer, and a malware propagation layer. The hybrid patching process is implemented by the integration of the central node and the patch dissemination layer. In the malware propagation layer, the mobility of IoT devices is modeled as a diffusion process across multiple areas. Next, we design a dynamic spreading model to capture the evolution of malware propagation and analytically derive the invasion threshold. The threshold indicates that malware propagation is significantly influenced by both the patching process and the topological structure of mobile IoT. Furthermore, considering the central host's capacity and patch effectiveness, we develop an optimization algorithm to determine the optimal patch allocation policy under resource constraints. This algorithm significantly outperforms traditional centrality-based methods in malware mitigation. Finally, we analyze the impact of device mobility, the connectivity of the patch dissemination layer, the device distribution, the central node's capacity, and the patch effectiveness on malware propagation. Our study provides a theoretical foundation for predicting and controlling malware spreading in mobile IoT.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116042"},"PeriodicalIF":4.4,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601792","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