Applied Mathematical Modelling最新文献_第2页

Symplectic approach for accurate buckling analysis in decagonal symmetric two-dimensional quasicrystal plates

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-19 DOI: 10.1016/j.apm.2025.116099

Junjie Fan , Lianhe Li , Alatancang Chen , Guangfang Li

{"title":"Symplectic approach for accurate buckling analysis in decagonal symmetric two-dimensional quasicrystal plates","authors":"Junjie Fan , Lianhe Li , Alatancang Chen , Guangfang Li","doi":"10.1016/j.apm.2025.116099","DOIUrl":"10.1016/j.apm.2025.116099","url":null,"abstract":"<div><div>This study employs a symplectic approach to investigate the buckling behavior of decagonal symmetric two-dimensional quasicrystal plates. The symplectic approach, known for its high flexibility and broad applicability, has become an essential tool in elasticity theory for addressing complex boundary conditions and material characteristics. Quasicrystalline materials exhibit unique elastic responses due to their quasiperiodic structures, which pose challenges that traditional semi-inverse methods often cannot handle. In contrast, the symplectic approach simplifies the analytical process of high-order differential equations without requiring additional potential functions, making variable separation and eigenfunction expansion more efficient. To effectively apply the symplectic approach, this study transforms the governing equations into Hamiltonian dual equations, enabling precise solutions to the eigenvalue problem to identify critical buckling loads and analyze buckling modes under six typical boundary conditions. The results are validated through comparison with existing literature, further demonstrating the reliability and accuracy of the symplectic approach in such problems. Additionally, this study systematically explores the effects of geometric parameters (such as aspect ratio and thickness-to-width ratio), coupling constants, and their influence on phason field elastic constants, revealing their critical roles in the buckling modes of quasicrystal plates. This research provides a new theoretical perspective on the stability analysis of quasicrystal plates, showcasing the unique advantages of the symplectic approach in the analysis of complex structures and materials.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116099"},"PeriodicalIF":4.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687962","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

Triggering probability of self-healing mechanisms in microencapsulated self-healing composites

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-19 DOI: 10.1016/j.apm.2025.116101

Haipeng Yin, Youtang Li, Hua Huang

{"title":"Triggering probability of self-healing mechanisms in microencapsulated self-healing composites","authors":"Haipeng Yin, Youtang Li, Hua Huang","doi":"10.1016/j.apm.2025.116101","DOIUrl":"10.1016/j.apm.2025.116101","url":null,"abstract":"<div><div>Cracking is one of the critical causes of material failure, and early damage management by implanting microcapsules in the matrix is practical. Existing studies have focused on the improvement of self-healing systems and preparation technology of microcapsules’, but have paid less attention to the issue of the probability of triggering the self-healing mechanism in microencapsulated self-healing composites (MSC), which in turn is a critical factor in improving the self-healing capability of the MSC. To improve the design capability of the MSC, a mathematical model affecting the intersection of a random single crack with microcapsules in a chaotic state is constructed based on the geometric probability theory. Further, the effects of a single factor on the intersection probability of a crack with microcapsules are studied. The results show that (1) the intersection mathematical probability of a randomly expanding single crack with a microcapsule is simultaneously affected by material shape, crack width, microcapsule volume fraction, and microcapsule diameter. (2) To improve the self-healing ability of the MSC, pay more attention to the mathematical expectation value of the cracks intersecting the microcapsules. (3) Under the conditions of ensuring the mechanical properties of the MSC and microcapsules, increasing the volume fraction and diameter of microcapsules can improve the self-healing efficiency of the MSC.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116101"},"PeriodicalIF":4.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739948","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 impact of periodicity in functionally graded materials on the attenuation of elastic shear waves

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-19 DOI: 10.1016/j.apm.2025.116106

Xuhui Li , Jun Shen , Chenliang Li , Zailin Yang , Minghe Li

引用次数: 0

Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-18 DOI: 10.1016/j.apm.2025.116089

Chunbin Qin, Kaijun Jiang, Yuchen Wang, Tianzeng Zhu, Yinliang Wu, Dehua Zhang

{"title":"Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm","authors":"Chunbin Qin, Kaijun Jiang, Yuchen Wang, Tianzeng Zhu, Yinliang Wu, Dehua Zhang","doi":"10.1016/j.apm.2025.116089","DOIUrl":"10.1016/j.apm.2025.116089","url":null,"abstract":"<div><div>In this paper, an event-triggered safe <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> control approach is investigated for nonlinear continuous-time systems with asymmetric constrained-input and state constraints. The proposed method is based on adaptive dynamic programming and addresses systems with completely unknown dynamics. Firstly, the unknown dynamics is identified using three neural networks. Secondly, a novel nonquadratic type function is introduced to address the asymmetric constrained-input. Next, the intention behind integrating the value function with the control barrier function is to guide the system state to evolve within the safe area. This also leads to a novel safe Hamilton-Jacobi-Isaacs equation. Next, the event-triggered condition is established with a designated threshold, ensuring the system stability. Unlike the classical actor-critic neural network approach, we only require a critic neural network to estimate the safe Hamilton-Jacobi-Isaacs equation, thereby achieving online solution under state constraints. Utilizing the Lyapunov stability approach and considering the joint impact of asymmetric constrained-input and state constraints, the system state and critic neural network weights exhibit uniformly ultimately bounded, effectively eliminating Zeno behavior. In conclusion, the efficacy of the proposed scheme is demonstrated through a simulation example involving a robot arm system.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116089"},"PeriodicalIF":4.4,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675623","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

Soliton dynamics in random fields: The Benjamin-Ono equation framework

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-18 DOI: 10.1016/j.apm.2025.116092

Marcelo V. Flamarion , Efim Pelinovsky , Ekaterina Didenkulova

引用次数: 0

dMRI reconstruction based on tensor ring and ℓ1 − 2 norm constrained model with Plug-and-Play regularization

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-17 DOI: 10.1016/j.apm.2025.116064

Shujun Liu , Maolin Lei , Jianxin Cao , Ting Yang

{"title":"dMRI reconstruction based on tensor ring and ℓ1 − 2 norm constrained model with Plug-and-Play regularization","authors":"Shujun Liu , Maolin Lei , Jianxin Cao , Ting Yang","doi":"10.1016/j.apm.2025.116064","DOIUrl":"10.1016/j.apm.2025.116064","url":null,"abstract":"<div><div>Compressed sensing(CS) has been identified to significantly accelerate magnetic resonance imaging from the highly under-sampled k-space data. In this paper, based on low-rank plus sparse (L plus S) decomposition model, we propose a new dynamic MRI(dMRI) reconstruction model by introducing the tensor-ring(TR) rank and ℓ<sub>1 − 2</sub> norm constrained framework with an embedded Plug-and-Play(PnP) based regularization(TRLP). More precisely, first, in order to exploit the low-rank and sparse properties in dMRI more sufficiently, the L plus S model is utilized to decompose dMRI into two components, low-rank and sparse. Second, considering that the low-rank property of dMRI is mainly presented inside each frame, and the temporal correlation is not very strong, the TR-rank is employed to constrain the low-rank prior instead of tensor tubal rank. And comparing to mode-n rank, TR-rank can exploit the low-rank prior brought by dMRI due to different structures in the image from higher dimensions in more flexible manner. Third, using ℓ<sub>1 − 2</sub> norm to constrain sparse prior can approximate ℓ<sub>0</sub> norm better than ℓ<sub>1</sub> norm, leading to promoting sparsity of sparse component. Finally, since low-rank component lacks the ability of removing noise with low-rank property, we employ an implicit PnP-based regularization to break through this limitation and preserve more image details. Extensive experimental results suggest that the proposed method achieves superior performance over compared methods in terms of quantitative evaluation and visual inspection.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116064"},"PeriodicalIF":4.4,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687961","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

Risk modeling of gas pipeline availability

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-17 DOI: 10.1016/j.apm.2025.116091

Cody W. Allen, Matt Lubomirsky

{"title":"Risk modeling of gas pipeline availability","authors":"Cody W. Allen, Matt Lubomirsky","doi":"10.1016/j.apm.2025.116091","DOIUrl":"10.1016/j.apm.2025.116091","url":null,"abstract":"<div><div>Presently, there is worldwide consideration of Hydrogen pipelines as sustainable energy carriers as well as Carbon Dioxide pipelines for use in achieving net-zero goals through carbon capture and sequestration. For the purposes of planning expansions or new pipelines, typical design criteria like compressor maps, driver loads, etc., are used for simulations of pipeline capacity; however, it is often assumed that the compressor drivers work 100% of the time. In real life, each driver will have an associated availability metric. The availability metric, which parameterizes unit risk of failure, must be accounted for in simulations and pipeline planning to give an accurate view of pipeline capacity. Complicating the analysis is the fact that not all units have equal effect on the pipeline capacity.</div><div>In this paper we formalize the framework for including unit availability into pipeline capacity planning and define Pipeline Availability. Availability estimates from industry reports as well as anonymized data from Solar Turbines' global fleet are provided and compared. A novel application of probability theory is used to calculate pipeline availability, and a comparison is made with previous methods that relied on Monte Carlo simulations. Three example applications are presented to show how the novel method is more accurate and much less time consuming than Monte Carlo simulation. Our application of pipeline availability calculations make it easier and more time efficient to consider wide variations of design during the planning and risk evaluation of new Hydrogen or Carbon Dioxide pipelines or expansions of existing Natural Gas pipelines.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116091"},"PeriodicalIF":4.4,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675620","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

Optimal design of MAS-ADT considering the influence of minimum accelerated stress

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-14 DOI: 10.1016/j.apm.2025.116059

Yang Qi (齐洋) , Bin Wu (吴斌) , Bin Suo (锁斌)

{"title":"Optimal design of MAS-ADT considering the influence of minimum accelerated stress","authors":"Yang Qi (齐洋) , Bin Wu (吴斌) , Bin Suo (锁斌)","doi":"10.1016/j.apm.2025.116059","DOIUrl":"10.1016/j.apm.2025.116059","url":null,"abstract":"<div><div>The minimum acceleration stress directly affects the extrapolation accuracy and acceleration effect of the degradation model of the accelerated degradation test, which in turn affects the accuracy of the reliability assessment and the efficiency of the accelerated test. Aiming at the problem that the minimum acceleration stress is given empirically, this paper proposes a method to determine the minimum acceleration stress by considering the extrapolation accuracy and acceleration effect. The optimal minimum accelerated stress is obtained by the algorithm, and other design variables such as the sample size and the number of tests are taken into account to establish a multi-objective optimal design model of minimum accelerated stress-accelerated degradation test (MAS-ADT), genetic algorithm and gradient descent are applied to search for the optimal solution with the highest model accuracy. The sensitivity analysis of the proposed optimization model is carried out, and the results show that the model has good robustness. Finally, the optimal design of electrical connectors with and without cost constraints is investigated, which shows that the proposed method has good practical application value.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116059"},"PeriodicalIF":4.4,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675621","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

Low frequency bandgap enhancement in dual graded metastructure beam with negative capacitance circuits and light-weight mass-spring resonators

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-13 DOI: 10.1016/j.apm.2025.116090

Masoumeh Khorshidipachi , Morteza Dardel , Claudia Comi

{"title":"Low frequency bandgap enhancement in dual graded metastructure beam with negative capacitance circuits and light-weight mass-spring resonators","authors":"Masoumeh Khorshidipachi , Morteza Dardel , Claudia Comi","doi":"10.1016/j.apm.2025.116090","DOIUrl":"10.1016/j.apm.2025.116090","url":null,"abstract":"<div><div>In this work bandgap formation and vibration attenuation properties in graded metastructure beams are studied. By using negative capacitance circuits and different grading laws on frequency spacing and arrangement of the piezoelectric and mechanical resonators, hybrid graded metamaterial beams are formed. This study emphasizes the potential of spatially graded metamaterials as a promising solution for improving vibration attenuation in low-frequency applications. It is found that graded distribution of light-weight mechanical (<10 % mass of the host structure) and negative capacitance resonators, enhance the width of the bandgap especially at low frequency (lower than the first structural frequency). Moreover, the spatially graded resonators enhance vibration attenuation along the entire length of the beam, unlike the periodic configuration where suppression mainly occurs near the free end. It is also demonstrated that by tuning grading variation parameters in dual graded hybrid metamaterial beam, wide and effective attenuation bandgaps in desired positions can be achieved. To this end, the governing equations of the vibrations of hybrid meta-beams are derived using Hamilton principle. Initially, a Floquet solution is developed for the repetitive unit-cell of a periodic structure and its band structures are investigated through dispersion analysis. Then for the frequency response analysis, the governing equations are discretized using the Galerkin method and solved for various grading laws in mechanical, electromechanical, and dual graded meta-beams. Based on the obtained frequency response results, the bandgap properties of the meta-beams are analyzed and compared.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116090"},"PeriodicalIF":4.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675624","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

Least-squares stabilized collocation method for the parameter identification in transient inverse heat conduction problems

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-13 DOI: 10.1016/j.apm.2025.116093

Zhihao Qian , Lihua Wang , Magd Abdel Wahab

{"title":"Least-squares stabilized collocation method for the parameter identification in transient inverse heat conduction problems","authors":"Zhihao Qian , Lihua Wang , Magd Abdel Wahab","doi":"10.1016/j.apm.2025.116093","DOIUrl":"10.1016/j.apm.2025.116093","url":null,"abstract":"<div><div>The inverse heat conduction problem (IHCP) has significant applications across multiple disciplines. Traditional methods for IHCPs often require tedious and low-accuracy iteration, which frequently fails to meet engineering demands. Therefore, developing highly efficient and accurate methods for IHCP solutions is required. A novel meshfree least-squares stabilized collocation method (LSCM) for solving transient IHCPs is proposed in this paper. LSCM uses subdomain integration to incorporate physical information on Gauss points into the collocation equations, which enhances accuracy and stability of solution. The least-squares scheme is implemented to avoid the iteration process for overdetermined problems arising from multiple measurement conditions. To address the non-linear characteristics of transient IHCPs, an integral transformation that linearizes the governing equations is introduced in LSCM, which avoids the iteration for nonlinear problems and improves efficiency. Convergence analysis of the proposed LSCM indicates that optimal accuracy can be achieved with appropriate weights on the boundaries and additional conditions. Stability analysis demonstrates that the LSCM provides robust stability for the time integration process of IHCPs. Dispersion analysis shows that the LSCM possesses small dispersion errors and good stability. Finally, numerical examples demonstrate that the proposed LSCM yields reliable parameter solutions even when input data includes up to 10 % and 20 % noise, with convergence rates reaching 1.5 and 0.7, respectively (compared to 1.8 without noise). Additionally, the identification of a source control parameter in a 3D cooling tower model further showcases the method's strong capability in handling complex engineering scenarios.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116093"},"PeriodicalIF":4.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704037","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