Applied Mathematical Modelling最新文献

{"title":"Quantification of uncertainty information in remaining useful life estimation","authors":"Changdong Zhao ,&nbsp;Shihu Xiang ,&nbsp;Songhua Hao ,&nbsp;Feng Niu ,&nbsp;Kui Li","doi":"10.1016/j.apm.2025.115992","DOIUrl":"10.1016/j.apm.2025.115992","url":null,"abstract":"<div><div>Accurate remaining useful life prediction is crucial for prognostics and health management of products. Model uncertainty is an important factor negatively affecting prediction performance. Existing methods fail to evaluate the predictive ability of a degradation model without the actual remaining useful life, and typically require adequate degradation data or prior information. They may be unable to ensure a reliable prediction performance in practical engineering scenarios with limited degradation data and mechanism knowledge. To address these issues, a model fusion based method is proposed using the uncertainty theory. Specifically, a comprehensive model performance evaluation method is proposed by simultaneously considering complexity, fitting ability, and predictive ability. The evolution process of the comprehensive model performance index is modelled by proposing a generalized arithmetic Liu process model that can flexibly depict characteristics of an uncertain process. A model fusion method is proposed by quantifying the similarity between a candidate model and the actual degradation process based on the predictive evolution analysis of the performance index. Then, a random initial solutions based algorithm is proposed to estimate remaining useful life from the fused model. Finally, three real cases and a numerical case are utilized to demonstrate the effectiveness and versatility of the proposed method by comparing it with existing methods.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115992"},"PeriodicalIF":4.4,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143350477","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":"Modeling of temperature dependent graded vibration in a piezoelectric microbeam composite plates with a sliding contact","authors":"Mohd Sadab,&nbsp;Santimoy Kundu","doi":"10.1016/j.apm.2025.115983","DOIUrl":"10.1016/j.apm.2025.115983","url":null,"abstract":"<div><div>The present study introduces a novel framework for analyzing shear wave propagation in piezoelectric microbeam-dielectric elastic composite plates, emphasizing the temperature-dependent graded factors that influence key material properties. Unlike previous works, which often assume constant material coefficients, this model considers quadratic variations of elastic, piezoelectric, and dielectric coefficients with respect to the temperature graded. The mathematical modeling employs the separation of variables and asymptotic expansions of Bessel functions to derive comprehensive analytical solutions. A sliding contact interface with a sliding parameter is considered, enabling a more realistic simulation of composite structures. The dynamic governing equation, transverse deflection, and Maxwell's equation for electric potential are solved simultaneously across domains, yielding a system of linear homogeneous equations via admissible boundary conditions. The dispersion relations for shear waves are derived for electrically open and short-circuit cases and validated through comparison with existing studies. This study highlights the significant influence of temperature grade, temperature ratio, micro-length parameters in the piezoelectric microbeam, and the sliding parameter on shear wave propagation. The findings provide a theoretical basis for designing and optimizing piezotronic devices, offering enhanced control over elastic wave propagation in composite structures.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115983"},"PeriodicalIF":4.4,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143174950","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":"Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling","authors":"Mingming Lin,&nbsp;Ronghu Chi","doi":"10.1016/j.apm.2025.115977","DOIUrl":"10.1016/j.apm.2025.115977","url":null,"abstract":"<div><div>Model free adaptive control has become an excellent method for complex processes with no model information available. However, the increasing scale of production in modern industries makes it difficult to model and control these processes. Therefore, a novel latent model-free adaptive control is proposed to deal with the high-dimension and collinearity problem of process variables in real-world industries. First, a nonlinear autoregressive moving average with exogenous input model is designed as a dynamical partial least squares inner relationship in the latent space to formulate the system input and output dynamics in a most common way. Then, a latent full-form dynamic linearization is developed to make the nonlinear model linearly parametric and a latent full-form dynamic linearization based virtual dynamical partial least squares data model is proposed consequently. An estimation algorithm is developed for identifying the unknown parameters of the virtual dynamical data model. By means of the virtual dynamical data model, the latent model-free adaptive control method is proposed by designing and optimizing a quadratic objective function. Theoretical analysis and simulation study confirm the efficiency of the latent model-free adaptive control.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115977"},"PeriodicalIF":4.4,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175295","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":"Grey relational analysis in the metric space of continuous functions: Foundations, extensions, and applications","authors":"Baolei Wei ,&nbsp;Yuwen Li","doi":"10.1016/j.apm.2025.115978","DOIUrl":"10.1016/j.apm.2025.115978","url":null,"abstract":"<div><div>This paper derives a piecewise linear interpolation representation of grey relational analysis from its algebraic form, laying the mathematical foundation in the metric space of continuous functions. By introducing cubic spline interpolation, a novel functional-type model is proposed, and its geometric invariant properties are thoroughly analyzed. Furthermore, physics-informed high-order and high-dimensional extensions are developed and validated through two real-world applications: analyzing erosion and wear of gun barrels and clustering polluted cities in China's Yangtze River Delta region. The results demonstrate the usability and superiority, particularly in terms of accuracy and interpretability.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115978"},"PeriodicalIF":4.4,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175294","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":"Control switch layout-design for active structural acoustic control of piezoelectric curved shell structures in shallow sea","authors":"Linyuan Shang,&nbsp;Jingjuan Zhai","doi":"10.1016/j.apm.2025.115985","DOIUrl":"10.1016/j.apm.2025.115985","url":null,"abstract":"<div><div>Existing acoustic topology optimization methods integrate the traditional finite element method-boundary element method (FEM-BEM) to optimize the layout of piezoelectric structure in free space, thereby improving the performance of active structural acoustic control (ASAC). Unfortunately, the inability of the traditional finite element method-boundary element method to deal with the reflected sound from waveguide boundaries limits their application in the optimization design of piezoelectric structures submerged in shallow seas. In addition, previous piezoelectric structure layouts designed for specific working conditions cannot realize online control of acoustic radiation for diverse working conditions in engineering practice. Therefore, a novel topological layout-design scheme for control switches of piezoelectric curved shell structures to bring down acoustic radiation in a shallow sea is proposed based on the velocity feedback control scheme and the combined method of the FEM, the added mass method (AM) and the image method-based boundary element method (I-BEM), which can handle the fluid-structure interaction and boundary sound reflection problems. A finite element formulation for the piezoelectric curved shell element is presented. In this context, the sensitivity analysis equation for sound pressure level is derived. The optimization problem is formulated in the framework of an artificial active damping model with penalization. The volumetric densities describing the control switch distribution are assigned as the design variables. Numerical examples demonstrate the validity of the proposed optimization approach and its potential applications in practical designs.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115985"},"PeriodicalIF":4.4,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143295849","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":"Flat elliptical matrix crack impact on bending, stresses and stability of beam-like aerospace structures","authors":"Piotr Jankowski,&nbsp;Krzysztof Kamil Żur","doi":"10.1016/j.apm.2025.115963","DOIUrl":"10.1016/j.apm.2025.115963","url":null,"abstract":"<div><div>For the first time, the present investigation comprehensively examines the effect of elliptical crack parameters and positions in individual or system layers on stress distributions, bifurcation buckling points, and bending under different loads of beam-like aerospace structural members. It also constitutes an effort to develop a model of graphene nanoplatelets reinforced multilayer composite beams with an elliptical matrix crack. Mechanical properties of the beam are obtained based on the modified Halpin–Tsai micromechanical model that is well-established experimentally and presented in the literature. Variational Euler–Lagrange equations of motion were derived based on assumptions of Reddy's shear deformation theory and linear Green–Lagrange strain tensor. Moreover, physical neutral surface properties were used to formulate the boundary value problem for unsymmetric nanocomposite laminates correctly. In addition, graphene platelet and crack distribution move neutral surface position in nanocomposite layers. Numerical results are obtained via the Fourier series method and by solving nonlinear multi-parametric characteristic equations. Before a complete numerical investigation, an example validation study of the obtained solution was performed. The results addressed how several layers, diverse elliptical matrix crack patterns, density, graphene nanoplatelets distribution, and weight fraction influence bending and shear stress distribution, critical axial forces, and beam bending under diverse loads. One exception where results for the first and last three layers with cracks do not overlap is FG-V distribution with nonsymmetric material properties for the midplane. Based on the study, in the case of nanofiller-reinforced nanocomposite with 21 layers, three cracked layers hardly influence bending behaviour and stress distribution. Finally, it is shown that the neutral surface position is insignificantly shifted compared to the beam's middle surface for diverse crack combinations and functionally graded graphene platelet distributions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115963"},"PeriodicalIF":4.4,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143071473","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":"Dissolution of variable-in-shape drug particles via the level-set method","authors":"Emiliano Cristiani ,&nbsp;Mario Grassi ,&nbsp;Francesca L. Ignoto ,&nbsp;Giuseppe Pontrelli","doi":"10.1016/j.apm.2025.115966","DOIUrl":"10.1016/j.apm.2025.115966","url":null,"abstract":"<div><div>In this work, we deal with a mathematical model describing the dissolution process of irregularly shaped particles. In particular, we consider a complete dissolution model accounting for surface kinetics, convective diffusion, and relative velocity between fluid and dissolving particles, for three drugs with different solubility and wettability: theophylline, griseofulvin, and nimesulide. The possible subsequent recrystallization process in the bulk fluid is also considered. The governing differential equations are revisited in the context of the level-set method and Hamilton-Jacobi equations, then they are solved numerically. This choice allows us to deal with the simultaneous dissolution of hundreds of different polydisperse particles. We show the results of many computer simulations which investigate the impact of the particle size, shape, area/volume ratio, and the dependence of the interfacial mass transport coefficient on the surface curvature.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115966"},"PeriodicalIF":4.4,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143071474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Rapid optimization of piston pin hole profile using variable thickness finite element method","authors":"Meng Zhang ,&nbsp;Shuo Liu ,&nbsp;Mingcai Xing ,&nbsp;Lining Gao ,&nbsp;Yi Cui","doi":"10.1016/j.apm.2025.115973","DOIUrl":"10.1016/j.apm.2025.115973","url":null,"abstract":"<div><div>Due to high loads, low relative speeds, and poor lubrication conditions, the contact between the piston pin and pin hole is prone to reliability issues. Optimizing the pin hole profile during the design phase is crucial for enhancing stress distribution and lubrication. However, three-dimensional models are computationally intensive, posing challenges for rapid computation and shortened product development cycles. To overcome these challenges, this study establishes a two-dimensional variable thickness finite element contact model and provides a general numerical solution. Parametric modeling of the pin hole's curved profile is implemented, and an optimization method using maximum stress as the criterion is proposed. As an illustration, the stress distribution of a pin hole with a tapered profile from a typical marine engine is analyzed. The results show that the two-dimensional model closely approximates the three-dimensional finite element analysis results while increasing computational efficiency by 360 times. Furthermore, compared to the tapered profile, the optimized curved profile reduces the maximum von Mises stress in the contact area by 32.5 %.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115973"},"PeriodicalIF":4.4,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143295943","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":"Topology optimization method for screw-type pumping using a Multiple Reference Frame-based approach","authors":"Diego Hayashi Alonso ,&nbsp;Julio Romano Meneghini ,&nbsp;Emílio Carlos Nelli Silva","doi":"10.1016/j.apm.2025.115982","DOIUrl":"10.1016/j.apm.2025.115982","url":null,"abstract":"<div><div>Screw-type pumping is one of the earliest types of pumping that have been explored. It has been later developed for various types of applications, including water, oil, cement, energy generation/recovery, labyrinth seals etc. Due to the screw shape, the flow is intrinsically three-dimensional, which makes it computationally expensive for the simulation. Adding to that, since the efficiency of the screw-type pumping is usually low, it may be necessary to consider optimization. When taking into consideration an optimization method with a high flexibility in the design (topology optimization), the computational cost becomes much more prohibitive, since there are usually various optimization iterations, there is a simulation for each optimization iteration, and the adjoint model has to be computed in each iteration as well. Therefore, this work formulates a simplified model for the topology optimization of screw-type devices, using a Multiple Reference Frame-based approach. This simplified model operates in a two-dimensional mesh, and makes some assumptions and approximations inside the screw zone, resulting in a similar tendency to the 3D configuration, which should be enough in terms of a design procedure, at least on a preliminary level. Two types of objective functions are considered: one that considers a <em>pump-type</em> operation, in which the flow performance needs to be improved, and one that considers a <em>labyrinth seal-type</em> operation, in which the leakage flow should be minimized. The design variable is pointwise linear, and optimized through an optimization algorithm based on integer programming. The fluid flow is taken as laminar or turbulent. Some of the numerical examples are presented for the topology optimization using the proposed model.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115982"},"PeriodicalIF":4.4,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143071471","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":"Hybrid chaos game and grey wolf optimization algorithms for UAV path planning","authors":"Jianqiang Yang ,&nbsp;Fu Yan ,&nbsp;Jin Zhang ,&nbsp;Changgen Peng","doi":"10.1016/j.apm.2025.115979","DOIUrl":"10.1016/j.apm.2025.115979","url":null,"abstract":"<div><div>The grey wolf optimizer is a renowned algorithm within the realm of swarm intelligence. However, it is hindered by a few drawbacks such as slow convergence rate, limited population diversity, and a propensity to fall into local optima in certain scenarios. In this study, we introduce a groundbreaking hybrid algorithm called Hybrid chaos game and grey wolf optimization, which ingeniously fuses the grey wolf optimizer with the Chaos Game Optimizer. This novel amalgamation significantly bolsters both the exploratory and exploitative facets of the grey wolf optimizer, enriching its diversity and enhancing its convergence precision, while preserving robust exploratory capabilities. In order to fully demonstrate the superior performance of the algorithm, the paper is divided into two parts. In the first part, the proposed algorithm is analyzed through rigorous experiments on different classes of test functions of the Congress on Evolutionary Computation benchmark 2014 using Friedman statistical test, among them, comparing the original grey wolf optimizer algorithm, it achieved better results among 28 functions. In the second part, the proposed algorithm is used to solve unmanned aerial vehicle path planning problems. These real-world problems are used as test problems to evaluate the solving ability of the proposed algorithm.The results show that the proposed algorithm still has a good performance in 6 scenarios of different complexity in the setup. The main goal of hybrid Chaotic Game Optimization and Grey Wolf Optimization is to provide an alternative perspective for dealing with complex optimization problems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"142 ","pages":"Article 115979"},"PeriodicalIF":4.4,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143071472","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}