{"title":"Sliding adhesive contact of one-dimensional hexagonal piezoelectric quasicrystals on imperfect interface substrates","authors":"Yapeng Duan , Jiale Du , Xin Zhang , Rukai Huang","doi":"10.1016/j.apm.2025.116470","DOIUrl":"10.1016/j.apm.2025.116470","url":null,"abstract":"<div><div>This study delves into the sliding adhesive contact problem of a one-dimensional (1D) hexagonal piezoelectric quasicrystals (PEQCs) spherical indenter on an imperfectly bonded system comprising a 1D hexagonal PEQCs coating and a piezoelectric substrate. Based on the general solutions for the half-space of 1D hexagonal PEQCs and piezoelectric substrate and the boundary conditions of the imperfect interface, dual Fourier integral transforms were applied to derive frequency response functions for relevant physical quantities, subsequently converted into corresponding influence coefficients. Numerical solutions were obtained using an algorithm combining the adhesion-driven conjugate gradient method (AD-CGM) and discrete convolution-fast Fourier transform (DC-FFT), with results elucidating the influence mechanisms of friction coefficient, coating thickness, adhesion parameter, and imperfection index on the system. The conclusions provide a theoretical foundation for the fabrication and application of micro-nano devices.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116470"},"PeriodicalIF":4.4,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222110","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}
Yuan Lu , Yuxin Liu , Hong-Zhong Huang , Yan-Feng Li , Zhe Deng
{"title":"Deep Gaussian Process model and its application in active learning reliability analysis","authors":"Yuan Lu , Yuxin Liu , Hong-Zhong Huang , Yan-Feng Li , Zhe Deng","doi":"10.1016/j.apm.2025.116477","DOIUrl":"10.1016/j.apm.2025.116477","url":null,"abstract":"<div><div>Reliability analysis of engineering machinery faces significant challenges due to highdimensional input spaces and scarce failure samples, making accurate reliability assessment difficult. Recognizing the potential of Deep Gaussian Processes in this domain, this paper proposes a surrogate modeling method integrating Deep Gaussian Processes with active learning strategies and develops a dedicated toolbox. The toolbox employs a modular architecture to enable scalable layer-wise operations and includes computational efficiency benchmarks. Through two structural reliability case studies, including a numerical example with explicit limit states and a practical engineering application requiring finite element analysis, the proposed method demonstrates superiority over traditional surrogate models in terms of sample efficiency and prediction accuracy. The findings highlight the practical utility of Deep Gaussian Processes in advancing reliability engineering practices.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116477"},"PeriodicalIF":4.4,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221994","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":"Fault-tolerant control of actuator failure combinations in quad-tilt rotor UAVs","authors":"Dongwoo Seo, Jaeyoung Kang","doi":"10.1016/j.apm.2025.116465","DOIUrl":"10.1016/j.apm.2025.116465","url":null,"abstract":"<div><div>This paper proposes a fault-tolerant algorithm for quad-tilt rotor unmanned aerial vehicles (UAVs), addressing the full set of actuator failure combinations involving both rotor spin and tilt mechanisms. Unlike prior studies that primarily focus on limited or symmetric fault cases, this work classifies all possible failure scenarios and evaluates their controllability through a numerical feasibility analysis using a control-feasibility function. Each case is categorized as fully controllable, partially controllable, or uncontrollable. A Lyapunov-based virtual control framework with slack variables is employed to ensure smooth transitions and stability under sudden faults. The proposed controller operates within a single unified architecture without requiring mode switching, making it practical for real-time applications. Simulation results validate the method’s effectiveness across diverse and complex failure conditions, demonstrating that the proposed strategy enables safe and continuous operation of quad-tilt rotor UAVs even under severe actuator degradation.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116465"},"PeriodicalIF":4.4,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222128","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":"Forecasting new energy vehicle sales with grey model incorporating impact of policies","authors":"Junjie Wang, Xiaoyu Ding, Yimeng An, Yaoguo Dang","doi":"10.1016/j.apm.2025.116462","DOIUrl":"10.1016/j.apm.2025.116462","url":null,"abstract":"<div><div>Accurate prediction of new energy vehicle sales is essential for companies to understand industry development trends, especially under the impact effects of policy shocks such as price reduction policies and subsidy policy. Moreover, the market typically requires a certain period to respond these policy shocks. To tackle this issue, this paper first analysis the process of policy impact and construct an expression to depict this process. Second, based on the relationship between the initial impact intensity and the actual time of action, an expression is proposed for the impact intensity and its time-lag. Subsequently, a novel grey forecasting model incorporating the impact of policies is constructed. Then, the model is applied to forecast sales of the BYD Qin PLUS in three different areas: the whole country, the mature market and the emerging market. Experimental results demonstrate that the proposed model delivers superior reliability and stability in prediction accuracy compared to other models.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116462"},"PeriodicalIF":4.4,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222130","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":"Analytical normalized stress invariant-based yield function to model anisotropic-strength differential effect","authors":"Pengfei Wu , Yanshan Lou","doi":"10.1016/j.apm.2025.116469","DOIUrl":"10.1016/j.apm.2025.116469","url":null,"abstract":"<div><div>Uncovering and characterizing the direction- and stress state-dependent material behavior is very critical and significant to the simulation and design of the metal forming process. The study establishes an analytical model based on a normalized stress invariant-based yield function, where these material parameters are computed by six hardening curves under different loading conditions. The analytical model is used to describe the material behavior of DP980 and AA5754-O, showing the characterization ability prior to the Hou2020 yield function under plane strain tension and shear. The initial yield behavior of WE43 alloy is with the isotropic characteristic, and the strength declines when the loading direction is from 0° to 45° while that increases from 45° to 90°. This indicates that the hardening behavior possesses the enhanced anisotropic property with deformation history. The mechanical strength varies with stress state, showing a clear strength differential effect dependent on loading stroke. The convexity of the yield surface is analyzed to determine the numerical strain domain through adopting a newly proposed geometry-inspired numerical approach. The anisotropic-strength differential hardening behavior of WE43 alloy is modeled with high accuracy by the proposed analytical model, and the yield locus presents a non-proportional evolving characteristic with strain. The research provides an analytical mathematical model, which is conducive to plasticity characterization and the analysis of the metal forming process considering the anisotropic-strength differential hardening behavior.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116469"},"PeriodicalIF":4.4,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268129","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}
Zhijian Lu , Hui Li , Nurken E. Aktaev , Zhongxiang Zhou , Dewei Gong , A.A. Kudryavtsev , Chengxun Yuan
{"title":"Langevin approach to modeling of electron acceleration by Langmuir turbulence in ionosphere","authors":"Zhijian Lu , Hui Li , Nurken E. Aktaev , Zhongxiang Zhou , Dewei Gong , A.A. Kudryavtsev , Chengxun Yuan","doi":"10.1016/j.apm.2025.116455","DOIUrl":"10.1016/j.apm.2025.116455","url":null,"abstract":"<div><div>A stochastic Langevin differential equation approach is proposed to model electron motion in collisionless ionospheric plasma within regions of Langmuir turbulence driven by a powerful wave. The model attributes electron motion to interactions with a broad wave packet excited by this incident wave. The primary mechanisms initiating motion are velocity-space diffusion, characterized by an inhomogeneous alternating electric field, and Landau damping. This paper outlines the model construction principles and analyzes key aspects, including the hierarchy of relaxation timescales, the selection of the simulation time step, the fulfillment of conditions for a broad wave packet, and the stochastic nature of electron-wave interactions (modeled as jumps). Implementation features of the numerical model are also discussed. The model's adequacy is demonstrated by comparing numerical results with those obtained from the widely used Gurevich model for high-energy electrons. Crucially, the proposed approach successfully describes the dynamics across the entire electron distribution, including the bulk population, rather than only the high-energy tail.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116455"},"PeriodicalIF":4.4,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222048","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}
Bo Yang , Yuqi Li , Chuanmei Wen , Lei Li , Bing Li , Wenting Song
{"title":"Rub-impact investigation on the lateral-torsional coupled vibration of a bolted joint rotor system with interface contact","authors":"Bo Yang , Yuqi Li , Chuanmei Wen , Lei Li , Bing Li , Wenting Song","doi":"10.1016/j.apm.2025.116459","DOIUrl":"10.1016/j.apm.2025.116459","url":null,"abstract":"<div><div>Under speed-up conditions, the monotonically increasing load significantly affects the contact state of bolted joint interfaces, potentially exacerbating rubbing faults. Therefore, a numerical model is developed based on static simulations and the Iwan model. The proposed model's capability in capturing the interface contact state is confirmed through a comparison of static and dynamic responses. Subsequently, a coupled lateral-torsional vibration model for the bolted joint rotor system considering rubbing faults is developed by combining the lumped-mass method with the Stribeck model. Numerical results indicate that rubbing faults intensify interface contact variations, reducing the system’s equivalent stiffness. Moreover, during acceleration, the additional imbalance force induced by speed-up further exacerbates interface contact variations, resulting in more pronounced stiffness softening. Finally, experimental testing validates the effectiveness of the numerical simulation results. This study provides valuable theoretical guidance for rotor system structural design and fault diagnosis.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116459"},"PeriodicalIF":4.4,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145182924","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":"Dynamic response analysis of pile-soil interaction during pile driving by torsional vibration","authors":"Yudong Peng, Xueliang Zhang, Xu Shi, Mengjiao Duan","doi":"10.1016/j.apm.2025.116464","DOIUrl":"10.1016/j.apm.2025.116464","url":null,"abstract":"<div><div>This paper presents a precise theoretical model for pile-soil interaction during torsional vibration piling, offering an effective method for analyzing the response characteristics of pile-soil coupling throughout the pile driving process. In this analysis, the torsional dynamic response of a pipe pile in a linear elastic soil subjected to harmonic torsional load is investigated. Firstly, a vibration hammer-pile-soil torsional vibration piling system is developed to investigate the torsional vibration behavior under friction-coupled conditions by considering the fixed connection between the vibration hammer and the top of the pile, as well as the coupling characteristics between the bottom of the pile and the soil. Based on the separation of variables method and a 1D elastic theory, the torsional vibration differential equations of the pile are established and solved to research the torsional response and shear stress of the pile by considering frictional resistance between the pile and the soil. Secondly, a parametric study is conducted to examine the influence of soil parameters on the vibration responses. The soil is modeled as a linear elastic medium, and the response of soil is analyzed under the torsional vibration. The Integral Transform Method is employed to convert the soil vector wave equation from the space-time domain to the frequency-wavenumber domain. The response of the soil under torque is determined using Green’s functions. Finally, the comparison of theoretical and simulation results confirms the validity and accuracy of the pile-soil coupling model during pile driving through torsional vibration, based on the analysis of both pile and soil.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116464"},"PeriodicalIF":4.4,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222049","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":"Neural grey system model based on generalized conformable fractional derivatives and its applications","authors":"Wanli Xie , Ying Wei , Hong Fu","doi":"10.1016/j.apm.2025.116420","DOIUrl":"10.1016/j.apm.2025.116420","url":null,"abstract":"<div><div>Accurately forecasting the evolution of complex systems with scant observational data demands models that reconcile long-range memory effects with expressive nonlinear mappings. In this study, we introduce a rigorously formulated fractional-order calculus framework-together with its discrete analogue-that enables continuously tunable differentiation orders and thus a refined representation of hereditary dynamics. Building on this theoretical advance, we derive a fractional grey prediction model whose fractional accumulation operator and discrete fractional differential equation extend the descriptive reach of classical grey theory. We further embed this model in a neural architecture by employing Chebyshev-polynomial activation functions, whose orthogonality accelerates functional approximation, and by estimating all parameters through a closed-form least-squares scheme, thereby preserving analytical transparency. Applied to real-world time-series forecasting problems, the resulting neural fractional grey system consistently attains lower forecasting errors than both conventional grey models and standard feed-forward neural networks, underscoring the complementary strengths of fractional calculus, grey-system parsimony, and neural nonlinearity. The proposed framework offers a transferable methodology for robust prediction under data scarcity and enriches the methodological arsenal available for energy, economic, and other application domains characterized by limited yet highly uncertain observations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116420"},"PeriodicalIF":4.4,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221993","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":"Global dynamics and multistability control of heated panel in supersonic flow","authors":"Xiaole Yue , Huikang Zhang , Xiaoyan Sun , Yong Xu","doi":"10.1016/j.apm.2025.116454","DOIUrl":"10.1016/j.apm.2025.116454","url":null,"abstract":"<div><div>This study investigates the global dynamics of a heated, simply supported panel in supersonic flow with structural nonlinearity and support motion. The governing equations, derived using von Kármán’s large deflection theory and first-order piston theory, are discretized into ordinary differential equations via Galerkin’s method. Using the composite cell coordinate cystem (CCCS) method for global analysis, we identify that variations in excitation amplitude and thermal stress trigger three critical transitions: boundary, interior, and merging crises, inducing multistability with interlaced basins of attraction. The multistability property increases the system’s sensitivity to perturbations, threatening the panel’s safe service. To address this, we first established a mapping between excitation parameters and the number of coexisting attractors, and then presented a control strategy. Numerical simulation results show that the strategy successfully eliminates coexisting attractors and can even convert chaotic motion into periodic orbits. Our findings provide novel insights into the nonlinear dynamics of panels in supersonic flow and establish a theoretical basis for the control of multistability.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116454"},"PeriodicalIF":4.4,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221991","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}