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A novel multi-scale modeling strategy based on variational asymptotic method for predicting the static and dynamic performance of composite sandwich structures Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-25 Shi Zheng, Qi Ligang, Liu Xiaogang, Liu Qian, Chen Hongbing
To establish a universal and convenient mathematical model for predicting static and dynamic performance of composite sandwich structures, a novel three-dimensional equivalent homogenized model (3D-EHM) is proposed based on variational asymptotic method. The multiscale mechanical analysis of composite hexagonal and re-entrant honeycomb sandwich structures is conducted by 3D-EHM, enabling reasonable
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Orbit-attitude-structure-thermal coupled modelling method for large space structures in unified meshes Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-22 Guang Yang, Hao Shen, Qingjun Li, Shunan Wu, Jianping Jiang
Large space structures would exhibit orbit-attitude-structure-thermal coupled effects in complicated space environment. Thus, a new thermal-structure coupled modelling method is proposed using gradient-deficient absolute nodal coordinate formulation beam elements. Compared to the previous methods, both axial and circumferential heat conduction are considered. The cubic interpolation in temperature
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Negative binomial community network vector autoregression for multivariate integer-valued time series Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-21 Xiangyu Guo, Fukang Zhu
Modeling multivariate integer-valued time series with appropriate methods is currently a popular research topic. In this paper, we propose a multivariate integer-valued autoregressive time series model based on a fixed network community structure. We use the negative binomial distribution as the conditional marginal distribution and a copula to construct the conditional joint distribution. The newly
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Path integration solutions for stochastic systems with Markovian jumps Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-20 Jiahui Peng, Liang Wang, Bochen Wang, Wei Xu
A path integration method for solving Markovian jump stochastic dynamical systems is presented. The Markovian jump process and the state vector of the system are combined into a new augmented state vector. The randomness of the Markovian jump is modeled by a stochastic process, which is merged with the stochastic perturbations to form the stochastic source affecting the evolution of the augmented system
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A multilayer shallow water model for polydisperse reactive sedimentation Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-19 Julio Careaga, Víctor Osores
A three-dimensional model of polydisperse reactive sedimentation is developed by means of a multilayer shallow water approach. The model consists of a variety of solid particles of different sizes and densities, and substrates diluted in water, which produce biochemical reactions while the sedimentation process occurs. Based on the Masliyah–Lockett–Bassoon settling velocity, compressibility of the
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Modeling and simulation of electrochemical and surface diffusion effects in filamentary cation-based resistive memory devices Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-18 Francesco Vaccaro, Aurelio G. Mauri, Simona Perotto, Stefano Brivio, Sabina Spiga
Cation-based (or electrochemical) resistive memory devices are gaining increasing interest in neuromorphic applications due to their capability to emulate the dynamic behavior of biological neurons and synapses. The utilization of such devices in neuromorphic systems necessitates a reliable physical model for the resistance switching mechanism, which is based on the formation and dissolution of a conductive
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Dynamic response of deep-buried circular loess tunnel under P-wave action Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-18 Xuansheng Cheng, Haodong Sun, Shanglong Zhang, Kai Ding, Peiyan Xia
In an earthquake, the strong interaction between the surrounding rock and the lining structure causes the lining structure susceptible to extrusion or shear damage, and predicting the internal force distribution trend of the lining structure by the analytical method was advantageous for the preliminary design of the tunnel structure. In this work, the quasi-static method was used to approximate the
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Modeling of fatigue behaviors of rock materials subjected to cyclic loads with fractional-order plastic flow rule Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-17 Ke Ren, Jin Zhang, Tao Ni, Qi-Zhi Zhu, Jianfu Shao
Compressive cyclic loads induce a progressive failure in rock materials, and the long-term stability can not be guaranteed by the strength under monotonic load. To this end, the present study aims at establishing an elastoplastic fractional fatigue damage model for predicting the accumulative deformation of rock materials in a unified framework. A fractional-order plastic flow rule is introduced to
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Frictional effect on the mechanical properties of bridge's semi-parallel stay cables under axial tensile loads Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-15 Yu-peng Chen, Wen-ming Zhang, Gen-min Tian
A novel analytical model is proposed to evaluate the influence of adjacent wire friction on the mechanical properties of semi-parallel stay cables. This model considers the bending and torsional stiffness of semi-parallel wires and the friction between adjacent contact wires. The finite difference method and nonlinear least squares method are used to solve the angle between the principal torsion-flexure
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Modelling and analysis of train-track-subgrade-soil dynamic interaction subjected to the interfacial damage of slab induced by uneven settlement Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-15 Weidong Wang, Zheng Li, Lei Xu, Xiao Wei
In this paper, a dynamic model is established to investigate the dynamic behavior of train-track-subgrade-soil (TTSS) interaction. The effects of interfacial damage of the track slab induced by soil settlement on the dynamic interaction system are considered. The model framework is established by the finite element method. The soil settlement-induced track deformation is calculated by a practical iteration
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The nonlinear multi-variable grey Bernoulli model and its applications Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-14 Qingping He, Xin Ma, Lanxi Zhang, Wanpeng Li, Tianzi Li
This work uses the vector-valued Bernoulli equation to build a nonlinear multi-variable grey Bernoulli model, which is available to describe the nonlinear relationship between the output variables. By using approximation, the proposed model can be implemented with high time efficiency. Additionally, the Sine Cosine Algorithm is employed to determine the Bernoulli exponent, thereby enhancing prediction
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Development of a video encryption algorithm for critical areas using 2D extended Schaffer function map and neural networks Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-14 Suo Gao, Jiafeng Liu, Herbert Ho-Ching Iu, Uğur Erkan, Shuang Zhou, Rui Wu, Xianglong Tang
This paper proposes an encryption algorithm for crucial areas of a video based on chaos and a neural network, which SVEA (Selective Video Encryption Algorithm). The critical areas of each frame in a video are extracted by deep learning to the encryption system. A one-step encryption algorithm is used to encrypt these critical areas based on chaos, where scrambling and diffusion are simultaneously performed
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A Liouville optimal control framework in prostate cancer Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-14 H. Edduweh, S. Roy
In this work we present a new stochastic framework for obtaining optimal treatment regimes in prostate cancer. We model the realistic scenario of randomized clinical trials for incorporating randomness related to interaction between a prostate cancer cell and androgen cell quota, due to cancer heterogeneities, across different patients in a given group, using a Liouville partial differential equation
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A coupled FD-SPH method for shock-structure interaction and dynamic fracture propagation modeling Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-11 Jian-Yu Chen, Dian-Lei Feng, Chong Peng, Rui-Chen Ni, Yu-Xin Wu, Tao Li, Xian-Zhao Song
Shock wave propagation and their damage to solid structures, which involve complex multiphase and multiphysics phenomena, are difficult problems to address. In this paper, a three-dimensional graphics processing unit (GPU)-accelerated finite difference-smoothed particle hydrodynamics (FD-SPH) method was developed for the prediction of strongly compressible fluid flow and strong fluid-structure interactions
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Optimization of robot manipulator configuration calibration by using Zhang neural network for repetitive motion Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-11 Pengfei Guo, Yunong Zhang, Shuai Li, Ning Tan
High precision and low complexity control algorithm plays an important role in the developing of the end-effector instrumentation of different robot manipulators. In order to reduce the kinetic energy and the high-speed drift phenomenon of the repetitive motion tracking task, the robot manipulator needs to calibrate its configuration. In this paper, we formulate the configuration calibration of the
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AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-11 Chong Feng, Wenbo Gao, Ruofan Wang, Yunyun Yang, Boying Wu
Intensity inhomogeneity often appears in medical images and causes great difficulties in image segmentation. Most active contour models perform poorly when applied to intensity inhomogeneous images because their energy functions use local intensity information in a fixed-size domain, causing the contour to evolve in the wrong direction. To overcome the difficulties caused by intensity inhomogeneity
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A finite-strain plate model for the magneto-mechanical behaviors of hard-magnetic soft material plates Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-11 Jiong Wang, Jun Zeng, Zuodong Wang, Ping Du
In this paper, we propose a plate model, within the framework of finite-strain elasticity, to study the magneto-mechanical behaviors of hard-magnetic soft material plates. The 2D vector plate equation is derived from the 3D governing equations through a series expansion and truncation approach. The displacement and traction boundary conditions on the edges of plate samples are also proposed. Compared
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Dynamic analysis and control strategies of the SEIHR rumor diffusion model in online social networks Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-10 Xianli Sun, Youguo Wang, Yun Chai, Yan Liu
With the prevalence of online social networks, rumors spread rampantly online. The versatility and complexity of human attitudes make dissemination more challenging to portray, so it is meaningful to develop a more comprehensive diffusion model. To this end, an improved SEIHR model considering three attitudes towards rumors is proposed. Then we deduce the stability of the dynamics model and use two
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Analytic solution for two dimensional beam problems: Pure displacement boundary conditions Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-10 J.A. Baier-Saip, P.A. Baier, A.R. de Faria, H. Baier
The present manuscript delineates the derivation of strong solutions for the linear elasticity problem in a two dimensional rectangular beam. The materials under consideration can exhibit either isotropic or orthotropic properties. Additionally, the analysis is not restricted to slender beams because the ratio between the length and the height of the beam can be arbitrary. The boundary conditions fall
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Designing compact, connected and gap-free reserves with systematic reserve site selection models Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-10 Adrien Brunel, Jérémy Omer, Antoine Gicquel, Sophie Lanco
Protected areas play a crucial role in current global policies to mitigate the erosion of biodiversity and systematic reserve site selection models are increasingly involved in their design. These models address the optimisation problem that seeks to cover spaces hosting biodiversity features with nature reserves at a minimum cost for human activities. To increase the likelihood of a successful implementation
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Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-10 Xianghong Zhang, Juan Li, Xianning Liu
Dengue fever as a mosquito-borne disease caused by dengue virus is responsible for a substantial disease burden to the world. Wolbachia as an innovative technique has been approved to inhibit the replication of dengue viruses in mosquitoes or reduce the number of wild mosquitoes. We firstly establish a birth-pulse model with sex structures to depict the nonlinear dynamics of mosquito population and
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Impact of drug dispersion on tumor-effector dynamics during combined chemo-immunotherapy with sensitivity analysis Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-10 Lazaro Revocatus Mashiku, Joseph Protas Ndenda, Reuben Maghembe, Sachin Shaw
Solid cancer remains a serious threat to global health despite decades of progress. Traditional chemotherapy treatment has been used to curb the disease despite its inability to reach cancer cells at high enough quantities leading to adverse toxicity on healthy cells, producing severe side effects, and exacerbating patient suffering. Active targeted nano-drugs (ATNDs) acting as transporter systems
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Geometrically exact 3D arbitrarily curved rod theory for dynamic analysis: Application to predicting the motion of hard-magnetic soft robotic arm Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-08 Xin Li, Wenkai Yu, Xiaoyan Zhu, Ju Liu, Hongyan Yuan
Magnetorheological elastomers are active materials which can be actuated by the applied magnetic field. Hard magnetic soft (HMS) materials, a type of magnetorheological elastomers, show great potential in the fields of biomedical engineering and soft robotics, due to their short response time, remote operation, and shape programmability. To exploit its potential, a series of theoretical frameworks
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Generation of quasi-traveling waves in a finite rectangular membrane with two internal viscoelastic line supports Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-07 Xiangle Cheng, D. Michael McFarland, Huancai Lu, Daren Zhou, Xia Hua
In this work we study the forced vibration of a finite rectangular membrane driven by arbitrarily distributed boundary motion on two adjacent edges and internally coupled with multiple viscoelastic line supports, as an extension of the analysis of coexisting vibrations and waves in one-dimensional elastic strings and ducts. Using the static solution for the membrane displacement in the absence of interior
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A 3-D extension of the Multiscale Control Volume method for the simulation of the single-phase flow in anisotropic and heterogeneous porous media Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-07 Filipe Antônio Cumaru Silva Alves, Artur Castiel Reis de Souza, Paulo Roberto Maciel Lyra, Darlan Karlo Elisiário de Carvalho
The level of detail on modern geological models requires higher resolution grids that may render the simulation of multiphase flow in porous media intractable. Moreover, these models may comprise highly heterogeneous media with phenomena taking place in different scales. Scale transferring techniques allow for the solution of such problems in a lower resolution scale at reduced computational cost.
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A systematic methodology for port-Hamiltonian modeling of multidimensional flexible linear mechanical systems Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-05 Cristobal Ponce, Yongxin Wu, Yann Le Gorrec, Hector Ramirez
This article introduces a novel systematic methodology for modeling a class of multidimensional linear mechanical systems that directly allows to obtain their infinite-dimensional port-Hamiltonian representation. While the approach is tailored to systems governed by specific kinematic assumptions, it encompasses a wide range of models found in current literature, including -dimensional elasticity models
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Richtmyer-Meshkov instability when a shock wave encounters with a premixed flame from the burned gas Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-05 M. Napieralski, F. Cobos, M. Sánchez-Sanz, C. Huete
We present a linear stability analysis of the Richtmyer-Meshkov instability that develops when a shock wave reaches a sinusoidally perturbed premixed flame from behind. In the hydrodynamic regime, when acoustic contributions dominate the flame growth rate, the problem is analytically addressed by the direct integration of the sound wave equations at both sides of the flame, which are bounded by the
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A nonlinear analysis of electrically forced vibrations of piezoelectric plates with viscous damping near the thickness-shear mode Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-05 Longtao Xie, Binbin Li, Bin Huang, Min-Chiang Chao, Zhonglin Wu, Ji Wang, Chuanzeng Zhang
Based on the theory of nonlinear piezoelectricity, an approximate solution for electrically forced nonlinear thickness-shear vibrations of piezoelectric plates is introduced. The model considers an infinite piezoelectric plate subjected to an alternative voltage, incorporating 3rd-order and 4th-order elastic constants and viscous damping under finite deformation. The system's differential equations
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A new approach for analyzing the structural response of a novel composite parallel machining machine platform Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-04 Weibin Lan, Shuai Fan, Xin Zhang
In order to accurately analyze the structural characteristics of a composite parallel machine tool, a new structural response modelling approach is proposed in this paper. A system dynamics model of the novel composite parallel machining machine platform is established by using the generality of the Jacobian matrix. Based on the mechanical characteristics, a structural stress identification index is
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A deposit-refund system for managing the economical circulation of returnable transport items Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-03 Taebok Kim, Tobias Schoenherr, Simone Zanoni
While the use of Returnable Transport Items (RTI) is a common practice in supply chains committed to sustainability. An efficient RTI circulation mechanism must be implemented to ensure the profitability of the approach. Within this context, this paper presents a deposit-refund system (DRS) designed for RTI circulation to maximize supply chain profitability. The profit optimization analysis considered
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Free propagation of elastic waves in small-curvature, damped, infinite cables Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-03 Lijun Li, Xiaohui Zeng, Han Wu, Zhehua Cui
Understanding the wave propagation is crucial for dynamic analysis of long elastic cables prone to high-order vibrations. The coupling of elastic waves in cables is still not sufficiently understood. However, wave coupling produces attenuation frequency bands, which is useful for vibration control. In this study, the coupled waves equation for a damped cable with a small curvature was proposed. Using
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Localization estimation of two leaks in pipelines through Monte Carlo simulations and hydraulic-spatial constraints Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-03 Lizeth Torres, Cristina Verde
The problem of localizing two leaks using only flow rate and pressure measurements at the boundaries of a pipeline, and under steady-state flow conditions, is ill-posed due to the undetermined nature of the inverse problem, which involves two coupled equations with four unknowns associated with the presence of the leaks: two emitter coefficients and two locations. Therefore, attempting to solve this
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Active suspension hierarchical control with parameter uncertainty and external disturbance of electro-hydraulic actuators Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-02 Shuzhi Diao, Xiaolong Zhao, Dingxuan Zhao, Zilong Dong, Yalu Qin
In order to improve the ride comfort and handling stability of the electro-hydraulic active suspension system, a hierarchical control strategy is proposed. For the active suspension system with body mass uncertainty and safety constraints, an enhanced constraint adaptive backstepping controller is designed to generate the target force of body vertical motion. When dealing with constraints, nonlinear
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Forecasting and uncertainty analysis of tailings dam system safety based on data mining techniques Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-06-01 Tengteng Hao, Kaili Xu, Xin Zheng, Bo Liu, Jishuo Li
Tailings dams, as critical infrastructure, play a vital role in ensuring the safety and reliability of tailings pond systems. Predicting the trend of tailings dam monitoring parameters helps monitor its operational status and support safety management and decision-making. The traditional time series prediction model focuses on point prediction while neglecting the nonlinear feature of data and the
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Nondestructively identifying the mechanical behavior of soft tissues using surface deformation with an explicit inverse approach Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-31 Yue Mei, Dongmei Zhao, Changjiang Xiao, Zhi Sun, Weisheng Zhang, Xu Guo
Identifying the spatial variation of stiffness properties in soft tissues nondestructively, with limited surface measurements, poses significant challenges. In this paper, we present a novel explicit inverse approach designed to characterize the nonhomogeneous elastic property distribution of soft tissues using only surface displacement datasets. In contrast to the prevalent implicit inverse approach
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A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-31 Sijian Wang, Yunkai Tang, Huadong Yong, Youhe Zhou
Rare-earth based barium copper oxide (REBCO) superconducting coated conductors are promising candidates for the design of high field magnets. In a high magnetic field, these conductors have to withstand huge Lorentz force, which would threaten the safety of superconducting devices. Recently, researchers have found that the electromagnetic-mechanical coupling has a significant impact on the overall
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Guided regularization and its application for image restoration Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-31 Jiacheng Wu, Liming Tang, Biao Ye, Zhuang Fang, Yanjun Ren
Variational regularization, renowned for its sound theoretical foundations and impressive performance, is widely used in image restoration. The traditional regularization models typically use a predefined regularizer to promote smoothness in the solution. However, these models do not explicitly take into account any external information that should be preserved in the restoration. In this paper, we
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Dynamic modeling and delayed consensus control of multi-QUAVs under wind disturbance Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-29 Xi Li, Guoyuan Qi, Limin Zhang
Wind interference and time delay environment have great influence on the stable flight of a multi-quadrotor UAVs (QUAVs) formation, which has important study to achieve the consensus control of multi-QUAVs formation flying in these conditions. In this paper, through analyzing the aerodynamic force and moment caused by the wind effect on the quadrotor, a quadrotor dynamic model with wind disturbance
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A monolithic numerical model to predict the EMI shielding performance of lossy dielectric polymer nanocomposite shields in a rectangular waveguide: Design of an absorption-based sawtooth-shaped layer Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-29 F. Van Loock, P.D. Anderson, R. Cardinaels
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Peridynamic differential operator for stress analysis of imperfect functionally graded porous sandwich beams based on refined zigzag theory Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-28 Merve Ermis, Mehmet Dorduncu, Akif Kutlu
This study focuses on the stress analysis of imperfect functionally graded porous (FGP) sandwich beams using the Peridynamic Differential Operator (PDDO) and Refined Zigzag Theory (RZT). Functionally graded materials (FGMs) can be found in diverse engineering applications since they offer smooth transitions in the mechanical properties of distinct materials, unlike traditional composite materials.
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POE-Based Error Modeling and Multiple Plane Constraint-Based Parameter Identification for the Kinematic Calibration of a 4-UPS/SPR Parallel External Fixator Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-28 Yu Wang, Mingjie Dong, Guoyu Zuo, Jianfeng Li, Jie Ju, Qianhui Ma, Shiping Zuo
Limb deformity is a common complaint in orthopedic surgery. Currently, gradual treatment using parallel external fixator (PEF) has become the preferred option for deformity correction. As the key medical apparatus with the special application properties of temporary assembly and direct utilization, the geometric errors generated during the manufacturing and assembly process of the PEF contribute to
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Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-28 Xiaopeng Zhang, Dengfeng Wang, Lina Huang, Wenchao Xu, Hongyu Liang, Baichuan Liu, Guilian Xue, Hongli Chen, Bingtong Huang, Zihao Meng
Considering the lack of effective solutions for multi-axis random vibration topology optimization problems, and recognizing that multi-axis random vibration excitation is the most common loading conditions experienced by structures during their operational life, this paper proposes a multi-objective topology optimization method for multi-axis random vibration. By combining Hybrid Cellular Automata
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Multiple scattering of local nonlinear resonators on a thin plate Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-25 Zuowei Wang, Shilong Wang, Tuanjie Li
Developing nonlinear resonant metamaterial plates requires an effective wave simulation method to analyze the wave interactions between multiple nonlinear scatterers. The multiple scattering method has the advantages of high computational efficiency and closed-form displacement solutions in modeling the finitely periodic scatterer array. However, the multiple scattering method of nonlinear scatterers
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Dynamic modeling and verification of rotating compressor blade with crack based on beam element Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-23 Hong Guan, Kaixuan Ni, Hui Ma, Qian Xiong, Weiwei Wang, Hongji Wang
Aero-engine blades may crack under harsh operating environments. This reduces the reliability of the aero-engine and causes catastrophic accidents. Although dynamic modeling and vibration characteristics of simplified blades with cracks have been analyzed extensively, there are few studies on the actual compressor blade with varying sections and twisted shapes. Based on Timoshenko beam theory, a new
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Generation of no-equilibrium multi-fold chaotic attractor for image processing and security Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-23 Ning Wang, Mengkai Cui, Xihong Yu, Yufan Shan, Quan Xu
Generation of hidden attractor with complicated phase portrait in chaotic system with no equilibrium has presented a new research focus in the past decade. However, the existing approaches usually follow the rule that you reap what you sow, i.e., taking an no-equilibrium chaotic system as the seed. In this paper, a novel approach to the generation of no-equilibrium multi-fold hidden attractors is presented
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One dimensional modelling of Favre waves in channels Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-23 B. Jouy, D. Violeau, M. Ricchiuto, M. Le
In this study, we propose a modified version of section-averaged Boussinesq equations of Winckler-Liu. The model is reformulated in conservative variables, allowing a decoupling of the Shallow-Water equations and the dispersive problem. An appropriate hybrid finite volume and finite element discretisations are performed and verified with a solitary wave solution derived for the typical case of prismatic
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Reduced transfer matrix method for linear tree multibody systems Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-23 Zhengquan Liu, Guoping Wang, Jianshu Zhang, Xiaoting Rui, Xizhe Zhang
This paper introduces a linear version of the reduced multibody system transfer matrix method for studying the eigenvalue problems and steady-state responses of tree multibody systems. The core idea is to recursively transfer mechanical information between elements, utilizing a directed rooted tree to depict the system topology. Reduced transfer equations are provided for both spatial rigid and flexible
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Data-driven traffic sensor location and path flow estimation using Wasserstein metric Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-23 Jiaqi Gao, Kai Yang, Mengru Shen, Lixing Yang
This paper introduces link information value obtained by the traffic sensors and presents a traffic sensor location and flow estimation joint optimization model in an urban road network. In contrast to most previous studies, this paper adds new traffic sensors into the existing sensor network and proposes a data-driven path flow measurement method based on Wasserstein metric, which is utilized to measure
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Supplier selection and order allocation problem under demand and supply uncertainty with return policy Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-23 Omid Jadidi, Sergio Cavalieri, Fatemeh Firouzi
Demand and supply uncertainties are the two challenges of any supply chain. Supply uncertainty can happen if suppliers’ production systems generate defective units. Demand uncertainty also indicates that the demand fluctuates over time. Suppliers may share the risk of uncertain demand with buyers by agreeing to buy back unsold inventory at the end of the season. Also, a multi-sourcing scenario can
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Analyze the temperature-dependent elastic properties of single-walled boron nitride nanotubes by a modified energy method Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-22 Ming Gao, Xianlong Wang, Yuqiao Li, Hongbo Dong
The elastic properties of boron nitride nanotubes (BNNTs) were investigated utilizing an enhanced energy method. By considering small deformations and applying the principle of minimum potential energy, the variations in atomic bonds and bond angles within the nanotube structure were determined. The modified model incorporated the contribution of inversion energy to the overall potential energy of
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Anisotropic functionally graded nano-beam models and closed-form solutions in plane gradient elasticity Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-22 Martin Kröger, Teoman Özer
This study delves into the investigation of exact analytical solutions for the plane stress and displacement fields within linear homogeneous anisotropic nano-beam models of gradient elasticity. It focuses on solving the Helmholtz equation, which encompasses a second-order non-homogeneous linear partial differential equation in plane gradient elasticity theory, utilizing polynomial series-type solutions
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Adaptive accelerated proximal gradient algorithm for auto-regressive exogenous models with outliers Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-21 Xixi Ji, Jing Chen, Qiang Liu, Quanmin Zhu
This study introduces an enhanced recursive least-squares algorithm that applies the adaptive accelerated proximal gradient method to identify Auto-Regressive Exogenous models with output outliers. First, the outlier problem was converted into a robust principal component analysis problem. The adaptive accelerated proximal gradient method is then introduced to recover the information matrix, and the
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Size-dependent axisymmetric contact vibration analysis with couple stress Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-21 Xin Lv, Liao-Liang Ke, Sami El-Borgi
This paper investigates the contact vibration between a rigid spherical indenter and a half-space with hysteretic damping within the framework of the couple stress theory. Firstly, the static contact pressure is determined by using the integral least square approach. Subsequently, the dynamic contact pressure is obtained through the perturbation technology, and the dynamic contact displacement is obtained
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Assessment of age-dependent effects during the transmission of Omicron and the outcomes of booster campaign vaccination strategies Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-21 Yang Deng, Daihai He, Yi Zhao
At the end of 2021, the Omicron variant of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) took over from the preceding Delta variant as the dominant strain, causing a huge wave of infection and death due to its high transmissibility and immune escape. The Omicron wave was the fifth of the pandemic in Hong Kong Special Administrative Region, China. Given the huge variability in the mortality
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Flexural-gravity wave interaction with undulating bottom topography in the presence of uniform current: An asymptotic approach Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-20 Koushik Kanti Barman, Ayan Chanda, Chia-Cheng Tsai, Sandipan Mondal
Using an asymptotic method, this article deals with flexural-gravity wave scattering with undulating bottom topography, including the effect of uniform currents. The interest in this problem lies in developing second-order solutions using the Fourier transform, which minimises the error gap between first and second-order solutions. The present method allows the physical processes involved in the sea-bed
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Adaptive nonlinear damping control of active secondary suspension for hunting stability of high-speed trains Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-16 Heng Zhang, Liang Ling, Wanming Zhai
This study employs an active secondary suspension with adaptive nonlinear damping to enhance the hunting stability of high-speed trains. Adjusting passive suspension parameters to optimize ride comfort and hunting stability simultaneously in varied extreme operational conditions poses a significant challenge for high-speed trains. This research integrates high-order displacement-dependent nonlinear
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Nonlinear analysis on electro-elastic coupling properties in bended piezoelectric semiconductor beams with variable cross section Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-14 Luke Zhao, Tian Deng, Feng Jin, Zhushan Shao
In this paper, the effects of nonlinear constitutive relation on the electro-elastic coupling behaviors in non-uniform piezoelectric semiconductor beams are investigated. On the basis of three-dimensional theory for piezoelectric semiconductor and double power series, one-dimensional bending model is developed. In order to deal with the nonlinear problem, a differential quadrature method based iteration
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Generalized multilevel B-spline approximation for scattered data interpolation in image processing Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-13 Juanjuan Chen, Ting Huang, Zhanchuan Cai, Wentao Huang
This paper proposes a Generalized Multilevel B-spline Approximation (GMBA) method, which addresses scattered data interpolation problems in image processing. Mathematically, the GMBA provides a better solution for the B-spline control lattice by superimposing identical level B-splines compared with traditional Multilevel B-spline Approximation (MBA). Specifically, the GMBA allows the spacing of next
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Parameter identification of a reaction-diffusion predator-prey system based on optimal control theory Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-13 Li Miao, Linhe Zhu
This paper takes a reaction-diffusion predator-prey system with ratio-dependent Holling III functional response function and Leslie-Gower term into consideration. First of all, the system model is proposed on the basis of basic biological assumptions and previous work, and the existence conditions of the equilibrium point of the system are discussed. Secondly, under the assumption of the existence
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Instantaneous thermal fracture behaviors of a bimaterial with a penny-shaped interface crack via generalized fractional heat transfer Appl. Mathmat. Model. (IF 4.4) Pub Date : 2024-05-10 Xue-Yang Zhang, Zhen-Liang Hu, Xian-Fang Li, Wen-Zhi Yang
In the high-temperature environment, a larger thermal expansion mismatch of a bimaterial leads to pronounced thermal stresses and interface crack growth. In this paper, a generalized fractional heat conduction model is used to determine the instantaneous thermal fracture behaviors of a bimaterial interface crack. An axisymmetric thermoelastic problem is solved with the aid of Goodier's thermoelastic