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Application of J-integral to adhesive contact under general plane loading for rolling resistance Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-21 Zhao-Yang Ma, Gan-Yun Huang
In the present work, a mechanical model for two-dimensional non-slipping adhesive contact between dissimilar elastic solids under general loading, namely, normal forces, tangential forces and moments is proposed. The general solutions are obtained analytically with the stresses at the contact edges exhibiting oscillatory singularity, similar to those at a bimaterial interface crack. The well-known
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A hybrid evolution Jaya algorithm for meteorological drone trajectory planning Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-18 Jie Yang, Jun Liu, Jingsen Liu
Aiming at the problems of unreasonable search range and low optimization performance in meteorological drone trajectory planning under complex obstacle threat environments, as well as the shortcomings of sometimes low and unstable optimization accuracy of the basic Jaya algorithm and easy to fall into local optima, a meteorological drone trajectory planning method based on multi-strategy improvement
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Some new approaches to δ-shock modeling Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-17 Reza Farhadian, Habib Jafari
In δ-shock modeling, the life behavior of systems suffering from random shocks depends on the length of inter-arrival times between successive shocks. In this paper, a generalized version of the classical δ-shock model is studied, under which the system fails when the inter-arrival time falls in the interval [α,δ] for 0≤α<δ. Furthermore, with an innovative approach, the classical δ-shock model is studied
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Non-linear bending analysis and control of graphene-platelets-reinforced porous sandwich plates with piezoelectric layer subjected to electromechanical loading Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-16 Yushan Xiao, Zhen Wu
Piezoelectric materials as the controlling element have been widely utilized to produce intelligent engineering structures, while these smart structures may fail to realize effective control of composite structures with large deformations. However, investigations on such issues are less reported in published literature, as an accurate and efficient model is required to well forecast the geometrically
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Dynamic modeling and trajectory optimization for the rigid-flexible coupled spacecraft with the free-floating manipulator and solar panels Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-13 Lei Zhang, Hui Ren, Wei Fan, Ping Zhou
The rigid-flexible coupled spacecraft, composed of flexible solar panels and a multilink manipulator, has gained prominence in on-orbit servicing due to rapid advancements in space technology. However, the intricate effects of rigid-flexible coupling pose significant challenges for dynamic modeling, trajectory planning, and control. This paper aims to develop general dynamic approaches for modeling
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Free vibration of doubly-curved panels reinforced by carbon nanotubes: New analytic solutions under non-Lévy-type boundary conditions Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-13 Zhaoyang Hu, Jie Xu, Zixuan Wang, Rui Li
Existing analytic solutions for the free vibration of functionally graded carbon nanotube reinforced doubly-curved panels primarily address the cases with two parallel simply supported boundaries, known as Lévy-type boundary conditions (BCs). However, doubly-curved panels with non-Lévy-type BCs are more commonly encountered in practical engineering applications, yet their analytic solutions are rarely
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A choice-based approach to dynamic capacitated multi-item lot sizing with demand uncertainty Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-13 Fabian Dunke, Stefan Nickel
With the purpose of planning and implementing pricing decisions on a tactical level as well as production decisions on an operational level, we consider – in an integrated form – the capacitated multi-item lot sizing problem with uncertain item demands and price-dependent discrete choice demand. The model is embedded into an overarching rolling horizon procedure allowing for adaptations to changes
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Multi-block linearized alternating direction method for sparse fused Lasso modeling problems Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-13 Xiaofei Wu, Rongmei Liang, Zhimin Zhang, Zhenyu Cui
In many statistical modeling problems, such as classification and regression, it is common to encounter sparse and blocky coefficients. Sparse fused Lasso is specifically designed to recover these sparse and blocky structured features, especially in cases where the design matrix has ultrahigh dimensions, meaning that the number of features significantly surpasses the number of samples. Quantile loss
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Axisymmetric Hertzian contact problem accounting for surface tension and strain gradient elasticity Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-12 Weike Yuan, Jingyi Zhang, Xinrui Niu, Gangfeng Wang
In this paper, we investigate the axisymmetric Hertzian contact problem at micro-/nanoscale. The deformation of material bulk is described by a simplified theory of strain gradient elasticity, and the influence of surface tension is integrated based on the surface elasticity theory. Using the Mindlin's potential function method and double Fourier integral transform, the normal surface displacement
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Analysis of the electromechanical responses of sandwich circular nano-plate based on flexoelectric nano-ultrasonic transducer Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-12 Shasha Zhou, Lu Qi, Rongmin Zhang, Anqing Li, Fei Ren, Zumei Zheng, Jinwei Qiao, Yujing Sun, Shenjie Zhou
Flexoelectric nano-ultrasonic transducer is an important development direction of ultra-high frequency ultrasonic transducers. The key to its development lies in addressing the electromechanical coupling dynamics of a flexoelectric nano-element, that is, sandwich circular nano-plate. In this paper, a novel dynamic theoretical model of sandwich circular nano-plate is developed based on the transversely
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A convection-diffusion-reaction system with discontinuous flux modelling biofilm growth in slow sand filters Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-12 Stefan Diehl, Jaime Manríquez, Catherine J. Paul, Tage Rosenqvist
A Slow Sand Filter (SSF) consists of biofilm attached to saturated packed sand with supernatant water on top, through which water flows by gravity. SSFs are used in the production of drinking water to improve water quality and remove pathogens, and, as they use biological filtration via the microbes present in the biofilm, they are simple and cheap to construct. A drawback of SSFs is that the difficult
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Isogeometric topology optimization for maximizing band gap of two-dimensional phononic crystal structures Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-11 Shuohui Yin, Jiahui Huang, Sisi Liu, Shuitao Gu, Tinh Quoc Bui, Ziheng Zhao
A smooth and efficient isogeometric topology optimization (ITO) method for maximizing band gaps in two-dimensional phononic crystals is developed in the paper. The band gaps of phononic crystals are computed by the NURBS-based isogeometric analysis, and the material distributions of two-dimensional phononic crystals are represented by the smooth, high-order continuity of the NURBS surface. The densities
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Dynamic features and wind-resistant strategy of suspended monorail vehicle-track beam systems subjected to turbulent wind Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-11 Yun Yang, Qinglie He, Shihui Li, Yulong Bao, Shengyang Zhu, Wanming Zhai
Suspended monorail vehicles (SMV), hung beneath box beams with open bottoms, exhibit significant transverse wobble when exposed to turbulent winds, markedly impacting passenger comfort. This study presents an effective methodology for comprehensively evaluating the dynamical behavior of suspended monorail vehicle-track beam systems (SMVTBS) under wind action. First, based on the multi-rigid body dynamics
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Comparison of two nonlinear formulations of the Maxwell-Cattaneo equation in heat pulse transmission Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-10 Carmelo Filippo Munafò, Patrizia Rogolino, David Jou
The nonlinear terms resulting from temperature dependence of thermal conductivity and relaxation time must be considered when studying systems undergoing very short thermal pulses with non-negligible amplitude of the temperature perturbation. Two nonlinear formulations of the Maxwell-Cattaneo-Vernotte equation for thermal transport with relaxation effects are introduced. A comparison of the consequences
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Application of finite screw method for multi-mode mechanism classification and determination Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-08 Xueyuan Gao, Jingwei Song, Yanxia Shan, Shihua Li
To enrich the theoretical system of multi-mode mechanisms, a classification method and a determination method are proposed in this paper. From the perspective of configuration transformation, the multi-mode mechanisms are divided into two types: one based on lockable joints and the other based on the principle of bifurcated motion. Furthermore, the mechanisms based on the principle of bifurcated motion
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Application of a surrogate model for condition monitoring of a digital twin gas turbine Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-07 Junqi Luan, Shuying Li, Yunpeng Cao, Chengzhong Gu
Condition monitoring technology plays a crucial role in ensuring the reliable operation of gas turbines. Digital twin has propelled condition monitoring research into a new phase. This paper established a surrogate model of gas turbines for condition monitoring based on Markov-projection approximation subspace tracking. Furthermore, it explores the application of surrogate model in developing digital
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A novel data-driven dynamic model for inflated doubly-bounded hydro-environmental time series Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-06 Fábio M. Bayer, Camila M. Rosa, Francisco Cribari-Neto
We introduce the class of inflated Kumaraswamy autoregressive and moving average models for modeling and forecasting hydro-environmental time series that assume values in or . The main goal of our proposal is to handle doubly-bounded times series in the presence of inflated data. Conditioned on past observations, the response variable is assumed to follow an inflated Kumaraswamy (IK) distribution,
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A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-06 Ding Chen, Chao Liang, Wenxiong Huang
Fluid-structure interaction (FSI), as a two-phase flow problem, is widely encountered in engineering, which often involves large deformation and moving boundaries and interfaces. The finite particle method (FPM) originated from smoothed particle hydrodynamics (SPH) is one of the most common meshfree particle methods, and is more accurate than conventional SPH. In this paper, based on the virtual work
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Stochastic response of subsystems of interest in MDOF quasi-integrable Hamiltonian systems based on neural networks Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-05 Jiaojiao Sun, Zhiqiang Luo, Bo Yan
This study presents a method to predict the stochastic response of subsystems of interest in multi-degree-of-freedom quasi-integrable Hamiltonian systems under Gaussian white noises. It bypasses the challenges of addressing high-dimensional partial differential equations and evaluating multiple integrals. The proposed method consists of three main steps: (1) first dimensionality reduction–derive the
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An unbiased non-homogeneous grey forecasting model and its applications Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-05 Changchun Li, Youjun Chen, Yanhui Xiang
In response to the limitations of the traditional grey forecasting model in terms of structure and parameters, an unbiased non-homogeneous grey forecasting model containing a nonlinear time term is proposed. First, the background value is improved based on the integral median theorem, which in turn gives a new unbiased parameter estimation method. Second, the optimization effect of the model is further
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Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-05 Chuan Chen, Jing-wei Zhou, Ziyu Ruan, Fengming Li
This study aims to provide a comprehensive exploration of the nonlinear vortex-induced vibration (VIV) characteristics of the wind turbines in parked conditions. Considering the influences of the aero-damping and structure of the wind turbine, a vibration mitigation strategy for VIV is proposed to avoid the potential harm caused by VIV in practical projects. The finite element method (FEM) is used
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Intrinsic model of rock nonconstant damage creep based on fractal-order theory Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-04 Wenbo Liu, Shuguang Zhang, Shutian Zhao, Huang Xiang
Saltstone is an ideal medium for storing fossil energy and highly radioactive nuclear waste. Studying the creep mechanical properties of salt rock is important for the safe operation of underground salt rock reservoirs. An intrinsic model of salt rock creep considering the time effect is established based on the element combination model and combined with the fractal-order calculus theory. The model
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Combined effects of information dissemination and resource allocation on spatial spreading of the epidemic Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-04 Kebo Zhang, Xiao Hong, Yuexing Han, Bing Wang
Information dissemination driven by the epidemic may intensify individuals' awareness to change their behavior, as we observe that aware ones often pursue more resources to resist the epidemic. Particularly, the co-effects of herd awareness to individuals and resource allocation between locations on the spatial spreading of the epidemic has not further uncovered. Therefore, to deeply investigate the
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Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-03 Juan C. Muñoz-Sánchez, J. Tomás Lázaro, Julia Hillung, María J. Olmo-Uceda, Josep Sardanyés, Santiago F. Elena
It is well known that, during replication, RNA viruses spontaneously generate defective viral genomes (DVGs). DVGs are unable to complete an infectious cycle autonomously and depend on coinfection with a wild-type helper virus (HV) for their replication and/or transmission. The study of the dynamics arising from a HV and its DVGs has been a longstanding question in virology. It has been shown that
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Time-fractionated anisotropic osmosis with bilateral total variation for effective shadow mitigation in image processing Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-03 Amin Boukdir, Amine Laghrib, Mourad Nachaoui
This work introduces an innovative strategy for mitigating shadow effects in images through the utilization of a time-fractionated anisotropic osmosis equation. The method goes beyond conventional approaches by incorporating a newly derived bilateral total variation (BTV) term, coupled with a nonlinear anisotropic transport component. Theoretical insights are rigorously presented, accompanied by a
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Dynamics of irregular hyperelastic substrate under the impact of moving load Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-02 Md Hasanuzzaman, Santan Kumar, Richa Kumari
This work delves into the study of stresses induced in a non-homogeneous pre-stressed nearly incompressible elastic substrate with irregularity as a result of a normal load moving on its rough surface. The irregularity on the free surface of the substrate is considered in the form of parabolic irregularity. The solution methodology features the applicability of perturbation method along with substitution
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Optimization approaches to Wolbachia-based biocontrol Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-02 Jose Luis Orozco Gonzales, Antone dos Santos Benedito, Helenice de Oliveira Florentino, Claudia Pio Ferreira, Daiver Cardona-Salgado, Lilian S. Sepulveda-Salcedo, Olga Vasilieva
This paper proposes two realistic and biologically viable methods for -based biocontrol of mosquitoes, assuming imperfect maternal transmission of the bacterium, incomplete cytoplasmic incompatibility, and direct loss of infection caused by thermal stress. Both methods are based on optimization approaches and allow for the stable persistence of -infected mosquitoes in the wild populations in a minimum
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Examination of the complementary energy principle in modified couple stress theory and its application for analysis of size effects in the internal force field of functionally graded microbeams Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-09-01 Jiangsen Liu, Sen Meng, Jiangang Niu
The precise quantification of the internal force field in MEMS piezoresistive sensor micro structure is crucial for ensuring accurate signal output. This paper proposes and proves the complementary energy principle associated with modified couple stress theory (MCST) based on the linear elasticity assumption. And this principle is used to discuss and analyze whether there is a size effect in the internal
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Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-31 Bo Zeng, Fengfeng Yin
With the acceleration of urbanization and aging process, an increasing number of Chinese senior citizens are suffering from cardiovascular diseases (CVDs). Therefore, reducing the prevalence and mortality of CVD has become one of the priorities of the public health department. And the scientific prediction of CVD morality is of great significance in the prevention and treatment of CVD among the elderly
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On the bullwhip effect in circular supply chains combining by-products and end-of-life returns Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-31 Rebecca Fussone, Salvatore Cannella, Roberto Dominguez, Jose M. Framinan
The move towards a circular economy represents an urgent need for production and distribution systems. For this reason, traditional supply chains must rearrange their structures and configurations to reduce virgin material extraction, as well as production and end-of-life products that are sent to landfill. However, many questions regarding the dynamic behavior of circular supply chains remain unsolved
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Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-30 Guizhen Feng, Shaohua Li, Shaopu Yang
In order to solve the problem of the deterioration of the vehicle vertical vibration caused by the introduction of hub motor, to study the interaction mechanism between the electric vehicle (EV) and the road, to analyze the coupling relationship between vehicle vibration and unbalanced electromagnetic force, road surface irregularity, road vibration and other factors and their influence on the vertical
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Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-30 Jian Chen, Fuquan Zang, Xiaohui Zhao, Hou Li, Zeteng Tong, Kening Yuan, Linbo Zhu
The non-Gaussian rough surface simulation method with desired spatial distribution and height distribution is generally used to analyse the contact characteristics of rough surfaces under different contact conditions. Conventional surface simulation methods have disadvantages in terms of their range, accuracy, and stability. In this study, the analytical function method is enhanced to generate non-Gaussian
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Pipe merging for transient gas network optimization problems Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-30 Ralf Lenz
In practice, transient gas transport problems frequently have to be solved for large-scale gas networks. Gas network optimization problems typically belong to the class of Mixed-Integer Nonlinear Programming Problems (MINLP). However current state-of-the-art MINLP solvers are not yet mature enough to solve large-scale real-world instances. Therefore, an established approach in practice is to solve
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Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-29 Hui Qian, Ang Li, Yu Tian, Yusheng Wang, Zhifu Cao, Qinghua Liu, Dong Jiang
Imaginary perturbation is used in the complex step differentiation method to compute first-order derivatives, widely known as an effective approach for sensitivity analysis in structural dynamics. However, coupling of imaginary parts occurs in the damped frequency response functions when employing this method. To mitigate this coupling, a novel approach for sensitivity analysis based on multicomplex-step
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Robust estimate for count time series using GLARMA models: An application to environmental and epidemiological data Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-28 Ana Julia Alves Camara, Valderio Anselmo Reisen, Pascal Bondon
The Generalized Linear Autoregressive Moving Average (GLARMA) model has been used in epidemiological studies to evaluate the impact of air pollutants on health. Due to the nature of the data, a robust approach for the GLARMA model is proposed here based on the robustification of the quasi-likelihood function. Outlying observations are bounded separately by weight functions on covariates and the Huber
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Design and optimization of inertial amplifier for enhanced vibration control of bridges under moving loads Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-28 Susmita Panda, Arnab Banerjee, Bappaditya Manna
This paper introduces a vibration control strategy for bridges that involves the implementation of an inertial amplifier to mitigate train-induced vibrations. The study comprehensively evaluates the effectiveness of two types of vibration absorbers, namely spring-mass resonator (SMR) and inertial amplifiers (IA), using a non-dimensional mechanics-based framework. The study further employs a heuristic
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Two-dimensional quad-stable Gaussian potential stochastic resonance model for enhanced bearing fault diagnosis Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-24 Zhiyuan Jiang, Gang Zhang, Yanxin Gao
In this study, a two-dimensional quad-stable Gaussian potential stochastic resonance model is explored for the first time. First, the structure of the proposed model is analyzed to have a broader potential field and verified to break through the severe output saturation inherent in the classical two-dimensional quad-stable stochastic resonance model. Then, we analyze the relationship between the structure
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A Bayesian tensor ring decomposition model with automatic rank determination for spatiotemporal traffic data imputation Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-24 Mengxia Liu, Hao Lyu, Hongxia Ge, Rongjun Cheng
Recently, tensor factorization models have shown superiority in solving traffic data imputation problem. However, these approaches have a limited ability to learn traffic data correlations and are easy to overfit when the pre-defined rank is large and the available data is limited. In this paper, we propose a Bayesian tensor ring decomposition model, utilizing Variational Bayesian Inference to solve
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Analysis on transient wave propagation in the soft matter of hydrogels Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-24 Yunian Shen, Jie Zhu, Junyu Zhang
The precise control and structural design of the soft matter of the hydrogel subjected to dynamic loading require an in-depth understanding of its transient wave characteristics. However, for the complex solid–liquid coupling effects of the soft matter of hydrogels, the traditional single-phase wave model is no longer applicable. In this study, a transient wave propagation model that considers the
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A numerical model for the simulation of complex planar Newtonian interfaces Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-23 Adolfo Esteban, Julio Hernández, Javier Tajuelo, Miguel Ángel Rubio
We present a numerical model for the simulation of complex planar interfaces at which moving solid objects can be immersed, reproducing a wide variety of experimental conditions. The mathematical model consists of the Navier-Stokes equations governing the incompressible viscous flow in the liquid subphase, the transport equation for the evolution of the surfactant concentration at the interface, and
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Vibration suppression of a platform by a fractional type electromagnetic damper and inerter-based nonlinear energy sink Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-22 Nikola Nešić, Danilo Karličić, Milan Cajić, Julijana Simonović, Sondipon Adhikari
The theory of linear and nonlinear dynamic vibration absorbers is a well-established topic for many years. However, many recent contributions paid attention to the nonlinear vibration absorbers and different practical realizations of corresponding devices. Here, we propose a mechanical system constituted of the inerter-based nonlinear energy sink attached to the main body that is resting on an elastic
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A deformation procedure using position-based dynamics to optimize the geometric model of woven fabrics Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-22 Ziyue Gao, Li Chen, Shibo Zhao, Zhongwei Zhang
Generating realistic three-dimensional (3D) yarn-level models for fabrics has become a significant research topic due to the complexity of fabric structures and the requirement for high-quality models with no interpenetration between yarns. The generation process of idealized geometric models leads to inaccurate descriptions of yarn contact, specifically the interpenetrations and spurious voids between
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Nonconvex low-rank regularization method for video snapshot compressive imaging Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-22 Min Li, Huanran Hu, Ming Yang, Yu Han
The reconstruction of snapshot compressive imaging (SCI) presents a significant challenge in signal processing. The primary goal of SCI is to employ a low-dimensional sensor to capture high-dimensional data in a compressed form. As a result, compared to traditional compressive sensing, SCI emphasizes capturing structural information and enhancing the reconstruction quality of high-dimensional videos
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The influence of material gradation parallel to two unequal mode-III cracks in functionally graded materials via strain gradient elasticity theory Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-22 Rakesh Kumar Sharma, Kamlesh Jangid, Y. Eugene Pak
In this article, the strain gradient elasticity (SGE) theory is used to investigate the mechanical behaviour of a functionally graded material (FGM) weakened by two unequal collinear mode-III cracks. The SGE theory uses two material characteristic lengths, and , to account for volumetric and surface strain-gradient factors, respectively. The directions of both cracks coincide with the material gradation
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HLFEMP: A coupled MPM-FEM method under a hybrid updated and total Lagrangian framework Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-21 Shijie Zhou, Guangsong Chen, Linfang Qian, Jia Ma
Coupling the Material Point Method (MPM) with the Finite Element Method (FEM) provides a powerful approach for addressing problems characterized by the coexistence of large and small deformations. The majority of existing MPM-FEM methods, which operate within the updated Lagrangian framework, introduce inherent issues, such as cell-crossing noise and numerical fracture, compromising the overall accuracy
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Analytical approach for lateral dynamic responses of offshore wind turbines supported by cement-soil composite steel pipe pile embedded in gassy marine sediment layer Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-21 Hongbo Liu, Guoliang Dai, Xinsheng Chen, Zhiyu Gong
This study aims to clarify and gain an insight into the lateral dynamic response of offshore wind turbines (OWTs) supported by cement-soil composite steel (CCS) pipe pile embedded in gassy marine sediment layer by developing an analytical approach. In the proposed approach, the CCS pipe pile-supported OWT system is divided into three parts including the tower part, the seawater-immersed steel pipe
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Mathematical modelling for strata deformation caused by rectangular pipe jacking construction in composite layered ground Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-17 Xu Zhang, Luyao Li, Youjun Xu, Yixin Meng
In this study, analytical solutions of vertical deformation of ground surface and horizontal displacement of strata are derived combining the Mindlin solution and the mirror method due to rectangular pipe jacking tunneling in composite strata, which considers the combined effect of five factors of additional excavation pressure, friction of rectangular pipe jacking and soils, segment-soil friction
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A nonlinear vibration isolator with an essentially nonlinear converter Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-17 Qiuyang Gao, Tianzhi Yang
This paper introduces nonlinearity into bilinear springs and proposes an efficient asymmetrical nonlinear frequency converter (NC) that has a non-reciprocal transmission, which cascades a nonlinear spring and a rope. To solve the vibration equations of both NC and the conventional NES, the Runge-Kutta method is utilized. A comparison is conducted between the amplitude attenuation rates of the NC and
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Topology optimization design for voltage enhancement in variable structure double-layer flexible thermoelectric devices Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-17 Jian Xing, Mengying Wu, Xiancheng Chen, Junjie Zhan
Flexible thermoelectric devices possess the capability to generate electricity by harnessing temperature differences, rendering them highly promising for applications in wearable devices and powering the Internet of Things. This paper introduces a topology optimization design approach for double-layer thin-film flexible thermoelectric devices with the aim of enhancing the device's output voltage and
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A method for accurate prediction of photovoltaic power based on multi-objective optimization and data integration strategy Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-17 Guohui Li, Xuan Wei, Hong Yang
Reliable photovoltaic power prediction is crucial to power dispatching and power grid management. Aiming at the problems that the existing photovoltaic power prediction has low accuracy and cannot reflect the power variation range, this paper proposes a multi-factor photovoltaic power prediction model based on an improved fuzzy C-means (IFCM), variational mode decomposition (VMD) optimized by modified
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Anisotropic parameters and bulk waves propagation in arbitrarily-anisotropic materials Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-17 Y.Q. Guo, Q.Q. Li, B.R. Peng
To reflect the anisotropic degree of materials and to further reveal its relevance with the elastic wave propagation in materials, the Thomsen's parameters were proposed for transversely-isotropic materials with weakly anisotropy and were generalized to materials with lower symmetries. This paper derives the complete 21 anisotropic parameters of arbitrarily-anisotropic (triclinic) materials to reflect
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Conformable fractional accumulation in triangular fuzzy sequences grey nonlinear model for tertiary industry gross output forecast Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-14 Zhenxiu Cao, Xiangyan Zeng, Fangli He
The prediction of the tertiary industry's output value is essential for enhancing the market economic system and providing guidance for the government in formulating relevant economic policies. The tertiary industry encompasses various sectors such as finance and transportation, and its total output value exhibits uncertain and nonlinear trends. Triangular fuzzy number sequences contain more comprehensive
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Modeling the impact of terrain surface deformation on drag force using discrete element method and empirical formulation Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-13 Jiaxin Liu, Yang Tian, Zhongkui Wang, Longchuan Li, Shugen Ma
Understanding motion-induced terrain deformation is essential for improving predictive models in geotechnical engineering, infrastructure development, and robotics. The existing analysis assumes a uniform and unchanged environment and lacks a description of the terrain deformation induced by motion, which is particularly significant when the grains are loosely packed. To address this gap, we performed
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Adaptive sliding mode control with disturbance estimation for hydraulic actuator systems and application to rock drilling jumbo Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-10 Xinping Guo, Hengsheng Wang, Hua Liu
For achieving high-performance control of hydraulic actuator systems, an adaptive sliding mode control with disturbance estimation algorithm is proposed and successfully applied to the hydraulic actuator systems of rock drilling jumbo. A switching extended state observer for hydraulic actuator systems is proposed, which combines the advantages of the linear extended state observer and the nonlinear
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Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-10 Qingbo Zhu, Xu Xu, Wenyuan Zhou, Yufei Du, Qingchun Yang
The internal structure of shock waves is well known for shocks with a Prandtl number of the order of unity, but it is still poorly understood for shocks with extremely large and small Prandtl numbers, and the latter case is of particular interest given the non-existence of smooth solutions for strong inviscid shocks. The literature has suggested unequal contributions of viscosity and heat conduction
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Robust topology optimization of structures considering additive manufacturing-induced material anisotropy and uncertainty Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-10 Hexin Jiang, Zhicheng He, Hailun Tan, Eric Li
The integration of topology optimization and additive manufacturing (AM) is seen as a pivotal approach for creating products with high added value. Nevertheless, the inherent layer-by-layer fabrication process of AM and the widespread manufacturing errors lead to both anisotropy and uncertainty in the printed parts, which poses challenges to constructing material models and optimization strategies
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Role of inertial nonlinearity and coupling stiffness on a series of coupled harvesters Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-10 Srimanta Lal De, Aravindan Muralidharan, Shaikh Faruque Ali
This study investigates the effect of coupling configuration on a state-of-the-art harvesting system consisting of a series of spring-coupled piezoelectric nonlinear monostable tip-loaded cantilever-based vibration energy harvesters (VEHs). The investigation finds favorable coupling configurations that exploit complex nonlinear interaction for improving system performance. The system model incorporates
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Topology optimization for minimizing the mean compliance under thermo-mechanical loads using element-free Galerkin method Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-10 Shusen Wang, Hao Qian, Long Ju
This paper presents a numerical model for addressing thermo-mechanical coupling problems in topology optimization, utilizing the element-free Galerkin (EFG) method. A multi-parameter density-based topology optimization framework is introduced to interpolate the thermal stress coefficient, encompassing thermal conductivity, thermal expansion coefficient, and elastic modulus. Two numerical examples are
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Model order reduction of thermal-dynamic coupled flexible multibody system with multiple varying parameters Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-08 Qinglong Tian, Hongyu Sun, Zuqing Yu
Spacecrafts usually suffer from the thermal shock during operation, leading to large control error or even failure. At the same time, spacecrafts are often rigid-flexible coupled multibody systems with large degrees of freedom and multiple varying parameters. The real-time control and condition monitoring require effective order reduction methods. In this investigation, the displacement and temperature
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The semi-analytical model of electric field and capacitance in a multilayer-structured interdigital electrode capacitor Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-08 Zilong Zhou, Ruiguo Wang, Zhaoxu Yang, Xing-Feng Shen, Ying Xiong, Yue Feng
Accurately determining the electric field and capacitance in multilayer-structured interdigital electrode capacitor (IDC) transducers is an important prerequisite for designing the structure, estimating properties, and optimizing performance. In this paper, a semi-analytical model of the electric field and capacitance in a multilayered IDC is introduced utilizing the method of separation of variables