Applied Mathematical Modelling最新文献

{"title":"Auxiliary-based dual-stage constrained multiobjective evolutionary algorithm for obstacle-avoidance inverse kinematics of redundant welding manipulators","authors":"Zhao He,&nbsp;Hui Liu","doi":"10.1016/j.apm.2025.116440","DOIUrl":"10.1016/j.apm.2025.116440","url":null,"abstract":"<div><div>The motion planning algorithm for redundant robotic arms is a core technology for achieving efficient and precise operations in intelligent manufacturing. However, solving inverse kinematics under multiple constraints remains a major challenge in the motion planning process. To tackle this challenge, this paper reformulates the inverse kinematics problem as a constrained multiobjective optimization problem and proposes a corresponding evolutionary algorithm to solve it. Specifically, we first construct a model of the inverse kinematics problem, encompassing both objectives and constraints. The obstacle-avoidance constraint is formulated using a data-driven collision prediction method. We then introduce an auxiliary-based dual-stage constrained multiobjective evolutionary algorithm to address this problem. This algorithm subdivides the evolutionary process into an objective optimization phase and a constraint handling phase, thereby effectively balancing objectives and constraints. Besides, a global competitive swarm optimizer and a novel fitness evaluation strategy are developed in the proposed algorithm. The effectiveness of the proposed algorithm is validated by comparing it with 9 state-of-the-art constrained multiobjective evolutionary algorithms across four welding paths. The experimental results demonstrate the markedly best solving performance and middle-level time efficiency compared to peer algorithms on all welding paths. Besides, the proposed algorithm exhibits strong robustness at a data perturbation level of 5 %. This research can provide valuable insights for the field of robotic motion planning.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116440"},"PeriodicalIF":4.4,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057399","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}

{"title":"A memory-saving metaheuristic algorithm for onboard optimization: Solitary Inchworm Foraging Optimizer","authors":"Zhihao Yu,&nbsp;Jialu Du,&nbsp;Guangqiang Li","doi":"10.1016/j.apm.2025.116423","DOIUrl":"10.1016/j.apm.2025.116423","url":null,"abstract":"<div><div>This paper proposes a memory-saving metaheuristic algorithm, the Solitary Inchworm Foraging Optimizer, designed for onboard optimization problems under memory resource limitations. The proposed algorithm employs a unique single-agent search mechanism that mathematically models the behaviors of an inchworm. Parallel communication strategies are developed to enable information exchange among parallel agents, enhancing solution quality while preserving computational efficiency. As a result, Solitary Inchworm Foraging Optimizer is not only effective for global optimization but also efficient enough for onboard optimization. Theoretical analyses provide computational complexity evaluations and a proof of global convergence. Comparative numerical experiments on three well-known benchmark test suites demonstrate the significant superiority of the proposed algorithm over eight state-of-the-art metaheuristic algorithms. Additionally, hardware-in-the-loop simulations of two onboard application case studies are carried out. The simulation results further validate the efficiency of the proposed algorithm, consuming less computation time while achieving better solution quality compared with five baseline algorithms.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116423"},"PeriodicalIF":4.4,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145159576","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}

{"title":"Multi-fidelity Bayesian Quadrature for adaptive uncertainty quantification in engineering","authors":"Hongru Liu ,&nbsp;Lin Hong ,&nbsp;Xianwei Liu ,&nbsp;Jiangfeng Fu ,&nbsp;Siyuan Xu ,&nbsp;Lei Tang ,&nbsp;Haonan Xu","doi":"10.1016/j.apm.2025.116384","DOIUrl":"10.1016/j.apm.2025.116384","url":null,"abstract":"<div><div>Propagation of stochasticity from inputs to outputs is a critical task in uncertainty quantification of simulation models. Due to the high cost of (high-fidelity) numerical simulators, the pursuit of higher computational efficiency, on the premise of reasonably quantifying and controlling computational errors, has kept receiving attention. Bayesian Quadrature has emerged to be a competitive method for addressing this issue due to its flexibility of balancing efficiency and accuracy, and theoretical guarantee of convergence for a specific class of model functions. On the other hand, developing multiple simulators with different levels of fidelity for a specific physical system has also been a promising scheme for saving computational cost. In this context, a multi-fidelity Bayesian Quadrature method has been developed to leverage the advantages of both to the fullest extent. The closed-form Bayesian quadrature rules based on multi-fidelity models are primarily derived, as a probabilistic description for both mean prediction and prediction uncertainty. A strategy, called Expected Variance Contribution, is then developed for automatic selection of fidelity levels to balance the cost and expected improvement in prediction accuracy. Further, a data acquisition strategy based on the Generalized Uncertainty Sampling function is introduced for adaptive design of training points. All these components are integrated to form the developed multi-fidelity Bayesian Quadrature method, of which the effectiveness is demonstrated with both numerical examples and real-world simulators.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116384"},"PeriodicalIF":4.4,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107907","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}

{"title":"Theoretical and experimental researches on nonlinear snap-through mechanism of bistable asymmetric composite laminated cantilever plate under foundation excitation in wind turbine blade skin","authors":"Y.C. Chen ,&nbsp;W. Zhang ,&nbsp;A. Rong","doi":"10.1016/j.apm.2025.116442","DOIUrl":"10.1016/j.apm.2025.116442","url":null,"abstract":"<div><div>The exponential growth of the wind energy infrastructure has propelled a progressive increase in the wind turbine blade dimensions to optimize the energy harvesting capacity. Nevertheless, the conventional blade structures confront the critical challenge in the structural reliability and aerodynamic load. These multifaceted challenges have driven the need of the systematic investigation for the bistable composite laminates emerging as a strategically significant research direction to reconcile these competing engineering requirements. This paper investigates the nonlinear modeling and dynamic snap-through mechanism of the bistable asymmetric composite laminated (BACL) cantilever plate under the foundation excitation. A 4-degree-of-freedom nonlinear analytical model is introduced based on the classical plate theory, von Karman geometric nonlinearity, Hamilton principle and Rayleigh-Ritz method. The static stable initial values and first resonant frequency are derived for each configuration. Using the transverse foundation excitation as a triggering mechanism, the dynamic behaviors with varying frequencies and amplitudes are explored. The significant vibrations around two resonant frequencies corresponding to the stable configurations exhibit the approximate linear and distinctly nonlinear softening behaviors, respectively. The study identifies the critical frequency and amplitude ranges for the dynamic transformations and continuous snap-through phenomena. It is revealed that the snap-through characteristics, including the multiple harmonic resonances and chaotic dynamic behaviors, align closely with the experimental results. Focusing on the deformation behaviors, this study can support the development of the wind turbine blades.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116442"},"PeriodicalIF":4.4,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107857","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}

{"title":"Tsallis entropy penalized robust 1-bit compressive sensing against sign flips","authors":"Tiancheng Zheng ,&nbsp;Jingyao Hou ,&nbsp;Xinling Liu ,&nbsp;Yi Gao ,&nbsp;Jianjun Wang","doi":"10.1016/j.apm.2025.116428","DOIUrl":"10.1016/j.apm.2025.116428","url":null,"abstract":"<div><div>One-bit compressive sensing (1BCS) has emerged as a prominent research area owing to its unparalleled advantages in sampling efficiency and hardware implementability of signal reconstruction. However, existing 1BCS methodologies encounter challenges of mitigating sign-flip noise and depending on prior knowledge of signal sparsity or noise level. To address these limitations, we propose a novel method named robust generalized fixed-point continuation via Tsallis entropy (RGFPC-TE). RGFPC integrates the fixed-point continuation (FPC) framework with an adaptive sign-flip detection mechanism. This integration enables the algorithm to iteratively refine measurements and recover the original signal without requiring prior of sparsity or noise level. Moreover, we theoretically prove that incorporating TE into the FPC framework enhances signal sparsity and energy concentration. Numerical experiments on synthetic signals and real images demonstrate the superiority of RGFPC-TE. In real-image reconstruction tasks, our method achieves up to 5 dB higher peak signal-to-noise ratio (PSNR) than state-of-the-art 1BCS algorithms.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116428"},"PeriodicalIF":4.4,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107858","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}

{"title":"Improved Newton-Raphson-based optimizer with gap evolution strategy for multiple engineering problems","authors":"Xueyan Ru ,&nbsp;Aimin Qiao ,&nbsp;Kai He ,&nbsp;Dawei Xue ,&nbsp;Fan Yang","doi":"10.1016/j.apm.2025.116425","DOIUrl":"10.1016/j.apm.2025.116425","url":null,"abstract":"<div><div>Newton-Raphson-based optimizer is a new meta-heuristic algorithm based on Newton-Raphson search rules and trap avoidance operator. To further boost its convergence performance and population diversity, an improved Newton-Raphson-based optimizer is proposed in this paper. First, the dynamic fitness-distance balance selection method is used to establish a balance between fitness values and distance, balancing the global exploration and local exploitation capabilities. Second, a novel gap evolution strategy is proposed to improve the search performance through the dual guidance of global and local gaps. Finally, the last optimization strategy is adopted to enhance population diversity, enabling a faster focus on the more promising solution space and reducing unnecessary computations and searches. We tested the performance of the improved Newton-Raphson optimizer through CEC2022 and then applied it to four challenging engineering problems involving characteristics such as multivariables, nonlinearity, and strong coupling, including parameter identification of photovoltaic model, coverage for wireless sensor network, safe path planning for unmanned aerial vehicle, and synchronous optimal pulsewidth modulation for 5-level inverter. Compared with 4 advanced algorithms, the proposed optimizer performs excellently in terms of convergence, population diversity and balance, and the experimental results demonstrate that it has the strongest competitiveness in multiple engineering application problems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116425"},"PeriodicalIF":4.4,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145050696","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}

{"title":"A fast robust output tracking approach based on the GRU-ARX model with application to quadrotor","authors":"Binbin Tian ,&nbsp;Hui Peng","doi":"10.1016/j.apm.2025.116429","DOIUrl":"10.1016/j.apm.2025.116429","url":null,"abstract":"<div><div>This paper concentrates on addressing the heavy computational burden caused by computation-intensive operations in online robust output tracking control processes for multi-input multi-output nonlinear systems. To improve the online computational efficiency of deep learning model-based controllers for compatibility with the sampling frequency requirements of fast-responding nonlinear systems, a novel robust control framework that combines offline-trained gated recurrent unit-based auto regressive exogenous model with adaptive triggering strategy is developed. Firstly, the proposed approach utilizes the hybrid deep learning model to capture the nonlinear dynamics for advanced system identification. Secondly, a dual-mode adaptive robust control strategy is formulated based on the pseudo-linear structure of this model to dynamically manage the controller updating behavior. This strategy consists of two aspects: the offline calculations for co-designing the triggered matrices and control laws through the linear matrix inequality-based synthesis with asymptotic invariant ellipsoids, and an online update mechanism that evaluates the triggering condition to determine whether to execute a search operation for the optimal solution within the offline precomputed list. Additionally, the closed-loop stability properties of the system under the proposed framework is established theoretically. Finally, the proposed algorithms are successfully conducted on a real quadrotor platform. Comparative real-time control experiments involving step tracking and anti-interference demonstrate that the adaptive triggering robust controllers can effectively alleviate the online computational burden without sacrificing the control performance roughly. These results indicate that the online computational efficiency is improved by about 79 % in step tracking and 85 % in anti-interference experiments. This framework proves particularly effective for fast-dynamic systems, facilitating the real-time implementation of deep learning model-based robust control methods.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116429"},"PeriodicalIF":4.4,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059804","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}

{"title":"Optimization of Medical Supplies Allocation Based on the Dynamic Evolution of Public Health Emergencies","authors":"Hongqiang Fan ,&nbsp;Shuyao Duan ,&nbsp;Xun Weng ,&nbsp;Jingtian Zhang ,&nbsp;Lifen Yun","doi":"10.1016/j.apm.2025.116421","DOIUrl":"10.1016/j.apm.2025.116421","url":null,"abstract":"<div><div>The effective allocation of medical supplies is critical when controlling the outbreak of infectious diseases. However, existing studies often neglect the interaction between medical supplies distribution and epidemic transmission, potentially leading to over- or underestimation of control effectiveness. This study proposes a multi-period medical supplies allocation model considering interaction effects with epidemic (MMSA-IEE). By incorporating transmission and treatment functions that are sensitive to medical supply levels, along with a time-varying demand function, the model more accurately captures the interaction between epidemic transmission and resource allocation. To solve the model, this paper develops a dynamic programming algorithm framework based on the division of the main problem and subproblems. Numerical experiments were conducted to evaluate the computational performance of the algorithm under various scenario scales. The analysis results of case studies demonstrate that sufficient stockpiles and timely response can delay the infection peak, allowing more time for vaccine development. Compared to single-period models, the multi-period dynamic model improves epidemic prevention effectiveness. Under a dynamic multi-modal transportation adjustment strategy, the total cost is reduced by 12.0% and 19.7% compared to single-mode railway and air transport, respectively. Furthermore, improvements in both recovery rate and full immunity rate significantly reduce infection and total costs. These findings provide quantitative evidence and decision-making support for scientific stockpiling and dynamic allocation of medical supplies during public health emergencies.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116421"},"PeriodicalIF":4.4,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145119741","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}

{"title":"Nonnull asymptotic distributions of three classic criteria in nonlinear Birnbaum-Saunders regressions","authors":"Artur J. Lemonte","doi":"10.1016/j.apm.2025.116430","DOIUrl":"10.1016/j.apm.2025.116430","url":null,"abstract":"<div><div>In this paper, we derive nonnull asymptotic expansions for the cumulative distribution functions of the likelihood ratio, Wald, and Rao score test statistics in nonlinear Birnbaum-Saunders regression models under a sequence of Pitman alternatives. The second-order local power of these three likelihood-based tests, which are equivalent to first-order, is compared analytically. We then provide an explicit and easily applicable expression for the difference in power of any two criteria, and, hence, the user can choose the most powerful test to make inferences on the regression parameters in the class of nonlinear Birnbaum-Saunders regression models. We also provide a real data example for illustrative purposes.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116430"},"PeriodicalIF":4.4,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107856","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}

{"title":"Model order reduction technique for variable-length beams based on arbitrary Lagrangian–Eulerian description","authors":"Yu Wang ,&nbsp;Wei Fan ,&nbsp;Hui Ren ,&nbsp;Siming Yang ,&nbsp;Tengfei Yuan","doi":"10.1016/j.apm.2025.116413","DOIUrl":"10.1016/j.apm.2025.116413","url":null,"abstract":"<div><div>Dynamic analysis of variable-length beams in multibody systems (e.g., deployable space structures) via Arbitrary Lagrangian–Eulerian (ALE) formulations encounters significant computational challenges due to time-varying configurations and geometric nonlinearities. This paper proposes a Model Order Reduction (MOR) framework integrating the ALE description with a dimensionless beam element formulation. By deriving dynamic equations for normalized elements, we establish a length-independent reduction basis that avoids recomputing basis functions for varying beam lengths. To capture geometric nonlinearities, the MOR combines low-order linear vibration modes (VMs) and modal derivatives (MDs), extending our prior ALE-RNCF method to enable parametric model reduction in multibody systems. Numerical experiments on three beam element types demonstrate that the proposed method substantially reduces the degrees of freedom compared to full-order ALE models while maintaining tip displacement errors below one percent. Computational efficiency improves several times, enabling real-time simulation of complex deployment dynamics. This advancement provides a critical tool for designing adaptive structures in aerospace and robotic applications.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116413"},"PeriodicalIF":4.4,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145050306","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}