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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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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
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Coupling dynamic problem of a completely free weightless thick plate in geostationary orbit Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-07 Weipeng Hu, Pengfei Cui, Zhengqi Han, Jianwei Yan, Chuanzeng Zhang, Zichen Deng
The coupling effects between the plane motion and the flexible vibration of the completely free plate bring a great challenge of the dynamic analysis on which. In this paper, the single variable simple plate theory is employed to establish the dynamic model of the completely free weightless thick plate describing the dynamic problem of some spatial plate-type structures in the geostationary orbit.
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An analytical approach for out-of-plane vibration of Timoshenko thin-walled curved beam with a mono-symmetric cross-section under a moving mass Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-06 Yong Cai, Liupeng Li, Xiaoyong Lv, Haijun Chen, Xiaoyue Fan
This paper proposes an analytical method to investigate the out-of-plane vibration of thin-walled curved beams under a moving mass. This method comprehensively considers the warping stiffness, shear deformation, and rotatory inertia, as well as the inertia force caused by moving mass and damping. The Fourier sine integral transform and Laplace-Carson integral transform are used to decouple the system
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Theta-regularized Kriging: Modeling and algorithms Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-05 Xuelin Xie, Xiliang Lu
To obtain more accurate model parameters and improve prediction accuracy, we proposed a regularized Kriging model that penalizes the hyperparameter theta in the Gaussian stochastic process, termed the Theta-regularized Kriging. We derived the optimization problem for this model from a maximum likelihood perspective. Additionally, we presented specific implementation details for the iterative process
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Tunable bandgaps of guided waves by periodic shunting circuits in multilayered piezoelectric plates Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-05 Youqi Zhang, Jie Xu, Rongyu Xia, Kefu Huang, Zheng Li
The multi-mode and dispersion characteristics of guided waves in plate bring great challenges to the manipulation of guided waves and controlling vibration and noise. In this study, the Stroh formalism is developed to establish a theoretical model for deriving the dispersion relations of guided waves in a multilayered piezoelectric plate. The dispersion characteristics under different electrical boundary
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Molecular dynamics modelling of interacting magnetic nanoparticles for investigating equilibrium and dynamic ensemble properties Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-05 Manuel Wolfschwenger, Aaron Jaufenthaler, Friedrich Hanser, Jakob Gamper, Thomas S. Hofer, Daniel Baumgarten
Magnetic nanoparticles have the potential to be used in various biomedical applications, including magnetic drug targeting and hyperthermia for cancer treatment. In both cases, precise prediction of the local particle concentration is required to plan a successful therapy, which is a challenging task due to several complex flow phenomena. Computational macroscopic and microscopic models have been developed
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Modeling hepatocyte apoptosis in chronic HCV infection with impulsive drug control Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-03 Jayanta Mondal, Piu Samui, Amar Nath Chatterjee, Bashir Ahmad
Chronic hepatitis C virus (HCV) infection is one of the leading life-threatening diseases owing to its non-cytopathic nature and scarcity of vaccines to combat. Hepatocyte apoptosis casts extensive impact in regulating chronic HCV infection. We propose a four dimensional deterministic model scheming the role of hepatocyte apoptosis and significance of HCV-specific CTL response in the intermediate stages
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Symplectic analytical solutions for free vibration of elastically line-hinged orthotropic rectangular plates with rotationally restrained edges Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-08-02 Yueqing Shi, Dongqi An, Zichang Wu, Li Liang, Liang Chen, Rui Li
The elastically line-hinged orthotropic rectangular plates with rotationally restrained edges are commonly used in engineering applications such as deployable structures. However, it is intractable to obtain the analytical solutions for the free vibration problems of such structures owing to the challenges in processing the high-order partial differential equations. Here, we make a first attempt to
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Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-29 Xianheng Wang, Xinming Qiu
Elastica theory plays an important role in the study of large displacements of slender rods. However, the majority of the studies are still limited to elastic material only. In this paper, the traditional elastica theory is extended to an elastica-plastica theory.
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Amplification factor transport equation modelling of Mack mode disturbances in hypersonic boundary layers Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-29 Jiakuan Xu, Yuyang Mu, Yuxuan Wang, Lei Qiao, Junqiang Bai
In the hypersonic boundary layer, the streamwise instability modes are mainly the Mack first mode and the Mack second mode. After the Mach number exceeds 4.0, the Mack second mode becomes the dominant instability mode for boundary layer transition. Currently, there is no complete analytical method to establish an amplification factor transport equation for the second mode. In order to improve the application
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Modelling of electromechanical coupling dynamics for high-speed EHT system used in HEV and characteristics analysis Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-27 Yunkun Xie, Kianmeng Lim, Hui Liu, Zhaobin Zhan, Xiaolei Ren, Xinyi Li, Ruyi Zhou, Pu Gao, Changle Xiang
As the development of hybrid electric vehicle (HEV) to high-speed, heavy-load, the electromechanical coupling vibration becomes the bottleneck in high-speed electromechanical hybrid transmission (EHT) system. To explore the dynamics characteristics and optimization direction for high-speed EHT system, an electromechanical coupling dynamics model under multi-source excitations is established with lumped-distributed
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A Level-Set/FEM approach for particle bed growth in Stokes–Darcy suspension filtration Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-26 Ayoub Badia, Nicolas Moulin, Renaud Ferrier, Cédric Descamps, Sylvain Drapier
This article presents an innovative approach to modeling particle bed growth through suspension dead-end filtration, a process of paramount importance in various industrial and environmental contexts. More precisely, it focuses on the numerical formulation of a continuous approach based on a Stokes–Darcy coupling. In a Level-Set/FEM frame, this model effectively captures the dynamic evolution of particle
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Flutter in functionally graded conical shell under follower force Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-26 Rupsagar Chatterjee, Sudib Kumar Mishra
Truncated conical shells are essential components of rocket booster nozzles and thrust vector control (TVC) systems for the propulsion of multi-stage launch vehicles. The TVCs assist the ascent of launch vehicles by directing the resultant thrust from the boosters, acting as a follower force that might trigger instability. Previous studies on the instability of aerospace structures have mostly focused
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Chaotic libration and control of a space tether-sail system in Earth polar orbits with J2 perturbation Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-26 Wenjun Yuan, Hong Deng, Jiafu Liu
The recently proposed space tether-sail system could enable various interesting and important potential space missions thanks to its thin and long connecting tether and solar radiation pressure (SRP) force without consuming propellants. This paper focuses on nonlinear libration and its control of a tether-sail system in Earth polar orbits. Firstly, nonlinear coupled in-plane and out-of-plane dynamics
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Stochastic mesoscale characterization of ablative materials for atmospheric entry Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-26 F. Girault, F. Torres Herrador, B. Helber, A. Turchi, T. Magin, P.M. Congedo
This study addresses the estimation of material properties at a mesoscopic level using the PuMA software from an uncertainty quantification perspective. Stochastic simulation with PuMA is primarily related to the random distribution of fibers, which is an intrinsic source of uncertainty. Additionally, the selection of certain physical parameters, such as the fiber's thermal conductivity, introduces
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Meta-analysis of RNA-seq studies with an adaptive weight and truncation p-value combination test Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-07-25 Zongliang Hu, Yafang Wu, Yan Zhou
For RNA-seq studies, an important task is to identify genes that are differentially expressed between groups. Nevertheless, the identification of differentially expressed (DE) genes from a single study can be challenging as the small number of samples and the high sensitivity of data perturbations. Combining -values from multiple RNA-seq studies can increase the statistical power and the accuracy in