Study on the Gap Flow Simulation in EDM Small Hole Machining with Ti Alloy by Shengfang Zhang, Wenchao Zhang, Yu Liu, Fujian Ma, Chong Su, Zhihua Sha

“…Based on the solid-liquid two-phase flow equation, the mathematical model on the gap flow field with flushing and self-adaptive disturbation is developed. …”
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MECHANICAL ANALYSIS OF THE DRILL BIT IN THE DUAL CASING SIDETRACKING by KONG ChunYan, LIANG Zheng, ZHANG DeRong

“…Considered the situation of that the sidetracking bit in actual contact with the oil casing wall,cement ring,technical casing wall and rock formations,established the bending moment mathematical model of the dual casing sidetracking drill bit,and combined with examples using MATLAB software solved the relationship between the drill bit bending moment and the drill bit horizontal moving distance under that Three different working conditions was given. …”
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Bayesian Probabilistic Framework for Damage Identification of Steel Truss Bridges under Joint Uncertainties by Wei Zheng, Yi Yu

“…The former could lead to model uncertainties due to the discrepancy between physical configurations and their mathematical models, while the latter could induce model parameter uncertainties due to difficulty in obtaining accurate model parameters of complex joint details. …”
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Solving linear Fredholm-Stieltjes integral equations of the second kind by using the generalized Simpson’s rule by A. Asanov, S. Yanık

“…Integral equations are used as mathematical models for many and varied physical situations and they also occur as reformulations of other mathematical problems [7]. …”
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Laws of Gas Diffusion in Coal Particles: A Study Based on Experiment and Numerical Simulation by Yongjiang Hao, Xiaofeng Ji, Jiewen Pang

“…Then, according to Fick diffusion law and Darcy percolation law, the mathematical models of methane emission from the spherical coal particles were created, respectively, and the corresponding calculating software was programmed by the finite difference method to obtain the simulated CMDQ of each sample under different conditions. …”
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Numerical Simulation Study on In-Depth Profile Control of Core–Shell Coagulation System Considering the Time-Variation of Permeability by Zhaobo Sun, Shuchun Cao, Gongchang Wang, Xiaofei Jia, Guoqing Ning

“…Considering these two phenomena comprehensively, a new three-dimensional, three-phase, six-component mathematical model that can take into account the time-varying phenomenon of reservoir permeability is proposed for a new kind of in-depth profile control system, namely, the core–shell coagulation system, and an integrated numerical simulation software is developed. …”
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Gas-Water Flow Behavior in Water-Bearing Tight Gas Reservoirs by Renyi Cao, Liyou Ye, Qihong Lei, Xinhua Chen, Y. Zee Ma, Xiao Huang

“…Based on the experimental results, this paper presents mathematical models to describe flow behaviors of gas and water in tight gas formations; the threshold pressure gradient, stress sensitivity, and relative permeability are all considered in our models. …”
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Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics by Karen R. Ríos-Soto, Baojun Song, Carlos Castillo-Chavez

“…Simplified versions of mathematical models involving a limited number of migratory and resident bird populations are analyzed. …”
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The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste by Stanley Chibuzor Onwubu, Phumlane Selby Mdluli, Shenuka Singh, Obiora Cornelius Collins

“…Objectives. A mathematical model making using of the Verhulst logistic equation was developed to predict the remineralization behaviors of desensitizing paste. …”
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CFD Simulation of Multi-phase Flow Inside the Hydro-viscous Speed Regulating Clutch by Guo Guangchao, Xing Zuohui

“…Based on the computational fluid dynamics theory,the mathematical model of the fluid domain inside the hydro-viscous speed regulating clutch is established,and the multi-phase flow field in the radial groove friction pair is solved numerically by the CFD software. …”
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Numerical Simulation of Flooding Process on Downstream Structure by Three-dimensional Dam-break Wave by YU Ruixing, LIN Qin, HE Shiming, ZHENG Yipeng, ZHENG Kaiyuan

“…While a quantitative forecast of the flow velocity and impact load during the dam-break flood is carried out, the reliability of the mathematical models in dealing with the fluid-structure interaction of water disasters is demonstrated by real-life cases and published data comparison. …”
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RESEARCH CONCAVE CIRCULAR HOLE TEMPLATE LINEAR VARIABLE THICKNESS STIFFNESS AND STRENGTH THEORIES by LI ShaoJie

“…This paper studies linear variable thickness circular aperture concave template theory of stiffness and strength calculation.First,set up mechanical model:Template for circular concave,outside the perimeter fixed; center has a round hole,inside the perimeter free,outside under uniformly distributed vertical load.Secondly,the establishment of mathematical model:Derivation of concave template in the axisymmetric condition,ordinary differential equation with variable coefficients of elastic curved surface,and gives the mathematical expressions of boundary conditions.Again,in view of the differential equation boundary value problem,the displacement method and the Matlab algorithm,it is concluded that the deflection of concave template function,and establish the stiffness calculation condition of concave template.Then,determine the concave template on the bending moment and the maximum bending moment and stress,so as to establish a concave template strength calculation conditions.Finally,numerical examples.This paper presents the function solutions,to change law of control concave template section variable parameters.In this way,not only highlight the interdependent relationship between the quantity of each,and optimization,and discussion and application.The result is suitable for uniform,continuous,isotropic material artifacts.Because in the process of calculation and data processing with error,so the formula is similar.…”
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RELATIONSHIP BETWEEN INTERNAL PRESSURE AND CAVITY VOLUME CHANGE BASED ON LIQUID IMPACT LOADING TO BIMETALLIC THIN-WALLED TUBES by LIU JianWei, SUN ChangYing, LI YuHan, YAO XinQi, FAN XiangWen

“…Secondly,theory of internal pressure was analyzed in the process of the axial impact hydraulic performing and the radial forming of bimetallic thinwalled tubes. Mathematical model between the internal pressure and volume change in the tube blank cavity was obtained.Thirdly,generation regularity of internal pressure of the axial and the radial liquid impact of the bimetallic thin-walled tubes was performed using ANSYS WORKBENCH. …”
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A hydraulic track drive systems resistive force simulation: Considerations for system electrification by Hugh Coyle, Charles Young, Nicola Anderson, Lee Johnston, Robert Gilmour

“…An overview of hydraulic track drive systems employed in mobile rock crushers for the mining industry is provided. A mathematical model was developed to analyse thrust and resistive forces experienced during typical machine operations, including flat-plane tracking, incline climbing, and pivot turning. …”
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Prediction and design optimization of mechanical properties for rubber fertilizer hose reinforced with helically wrapped nylon by Mengfan Wang, Lixin Zhang, Changxin Fu

“…First, a finite element simulation model and a mathematical model were established to analyze the influence of fiber layer arrangement on the maximum shear strain on the coaxial surface (MSS) and the reaction force on the extrusion roller (RF). …”
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Understanding pectin cross-linking in plant cell walls by Irabonosi Obomighie, Iain J. Prentice, Peter Lewin-Jones, Fabienne Bachtiger, Nathan Ramsay, Chieko Kishi-Itakura, Martin W. Goldberg, Tim J. Hawkins, James E. Sprittles, Heather Knight, Gabriele C. Sosso

“…This study employs a multidisciplinary approach, combining molecular dynamics simulations, experimental investigations, and mathematical modelling, to elucidate the mechanism of pectin cross-linking and its effect on cell wall porosity. …”
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Improved DFA algorithm based on multi-dimensional finite automata by ONGYang-yang G, IUQin-rang L, ANGZhen-xi Y, HAOXiang-yu S, INGChi-qiang X, IAOHui-juan J, ENGZhi-bin P

“…Compiling multiple regular expression signatures into a combined DFA can blowup in state and storage space.Explanations from the prospective of information theory and multi-dimensional mathematical model were proposed fo-cusing on the most serious state explosion.Redundancy states were divided into zero-dimensional ones and one-dimensional ones.The former were compressed by dimension,and the later were dynamically built.The space com-plexity of the model came to the theoretical lower bound by the above methods.Then the multi-dimensional finite auto-mata (MFA) was proposed with the model.Experiments show that,the construction time taken by MFA is slightly less than XFA and is 2～3 orders of magnitude lower than DFA,STT redundancy compression algorithms and Hybrid-FA; the memory space of MFA is slightly higher than XFA,but is 1～2 orders of magnitude lower than DFA,STT redundancy compression algorithms,mDFA and Hybrid-FA; in the aspect of matching time,MFA ranks after DFA and Hybrid-FA,but ranks before XFA,and it achieves 1～2 orders of magnitude lower than that of STT redundancy compression algo-rithms and mDFA.…”
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Research on a New Control System Based on L1 Adaptive Control Scheme for the Voice Coil Motor by Huaiguo Jing, Ying Li, Bo Li, Shuo Huang, RuiDian Zhan, Hao Li, Xuexi Zhang

“…First, it briefly analyzes the working principle and control method of the voice coil motor, and then constructs the uncertain parameter model according to the mathematical model of the voice coil motor. The closed-loop system of voice coil motor is simulated and analyzed by L1 adaptive controller. …”
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Research on boundary control of vehicle-mounted flexible manipulator based on partial differential equations. by Yuzhi Tang

“…We present a novel mathematical model, derived using Hamilton's principle, which simplifies the analysis of the arm's dynamic behaviors by employing partial differential equations (PDEs). …”
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Results of novel theoretical approaches show a possible underestimation of building materials contribution to indoor radon levels by Maiorana Andrea, Di Carlo Christian, Ampollini Marco, Antignani Sara, Caprio Mario, Carpentieri Carmela, Bochicchio Francesco

“…Abstract The mathematical modelling represents one of the main possibilities to assess the radon gas coming out from building structures in a dwelling, especially in preventive strategies. …”
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