Research of the Residual Stress Generation and Influence Factor of Grinding Tooth Surface of Spiral Bevel Gear by Zhou Jing, Ming Xingzu

“…The residual stress of spiral bevel gear on the tooth surface is produce by the comprehensive effect of various factors of grinding conditions.The mathematical model of the grinding basic parameters of the effects on grinding residual stress,grinding heat and grinding force.Based on the finite element 3D model of single tooth,the finite element simulation and analysis of residual stress of spiral bevel gear grinding,and the test shows this method is feasible.The results show the residual stress present in the spiral bevel gear tooth surface,while the residual tensile stress in the tooth,the grinding residual stress is connected with grinding depth,wheel speed,extended speed and grinding fluid.The reducing of grinding residual stress can effectively prevent grinding cracks.…”
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Simulating the pre‐ and de‐emphasis of drive voltages of silicon‐based micro‐ring ring‐modulators by S. Tenenbaum

“…Here we present a mathematical model where shooting amplitude and duration are considered with an optimised power consumption analysis. …”
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Optimal Management of Formation of Digital Competencies of Personnel of Organizations for the Purposes of Ensuring National Technological Sovereignty by Alexander A. Chursin, Andrey A. Efremov, Sergey V. Nazyuta

“…The emphasis is on the essence of digital competencies and their classification. The author’s mathematical model for managing the development of digital competencies of the organization’s personnel has been developed, and its substantive analysis is given. …”
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Performance Analysis and Design of Oval Gear Pair with Double Meshing Angle by Zhao Xiangyang, Du Yanxia

“…Based on the generation cutting theory,the pure rolling mathematical model that the center line of double pressure angle asymmetrical rack roll along the oval pitch curve is deduced. …”
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APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM by ZHANG Jing, SHI WenPu

“…The mathematical models of many engineering problems can often come down to two-dimensional optimization problems,it has been one of the hot issues of seeking the high effective and precision optimizing method.The characteristics of harmonic function and Green theory were used to study the relations between the values of harmonic function and its boundary values,and demonstrate the non-locality of its extreme value.When the objective function of the optimization is harmonic function,the two-dimensional optimization can be simplified as a one-dimensional optimization on the boundary of its feasible region.At last,three examples were given to show the feasibility of the method here.The research ideas and the conclusions can be generalized to the solution of the three-dimensional optimization problems.…”
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Research of Clamping Force Fuzzy Control of CVT based on Safety Factor Method by Guo Wei, Chen Ya, Zhang Wu, Lu Zhengxiong

“…In order to reduce system clamping force,the clamping force fuzzy calculation method is proposed on the basis of absolute safety coefficient method. The mathematical model and simulation model of engine,CVT and vehicle are established,and the simulation test of starting condition,rapid acceleration condition,rapid deceleration condition and cycle condition show that the clamping force average decrease of about 5% and the fuel economy of complete vehicle through the fuzzy calculation of clamping force is improved.…”
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Provident garbage collection algorithm for SSD storage system by Xuezhen TU, Zhenjiang Huang, Zhengguang CHEN

“…A predictive based proactive garbage collection algorithm was proposed.Firstly,the data was separated according to different heat factors,then the upper and lower predictions were performed on the number of different types of page allocation requests (PAR) that would be reached in the future.While satisfying the page allocation request lower prediction,the PAR upper prediction requirement was maximally satisfied,the WA problem was optimized,and invalid effective data migration was reduced,thereby maximizing the garbage collection utility.A mathematical model was defined for this problem,and an algorithm for obtaining the approximate optimal solution was given.The applicable scenario of the model was analyzed.The practical results show that the algorithm can obtain the maximum benefit and can significantly improve the performance of SSD and reduce the cost.…”
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Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics by Esam Y. Salah, Bhausaheb Sontakke, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, M. Daher Albalwi

“…The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. …”
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Dynamic Multidrug Therapies for HIV: Optimal and STI Control Approaches by B. M. Adams, H. T. Banks, Hee-Dae Kwon, Hien T. Tran

“…We formulate a dynamic mathematical model that describes theinteraction of the immune system with the human immunodeficiencyvirus (HIV) and that permits drug ''cocktail'' therapies. …”
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Low viral persistence of an immunological model by Suqi Ma

“…To analyze this phenomena quantitatively, a mathematical model which is described by DDEs with relative to cytotoxic T lymphocyte (CTL) response to Hepatitis B virus is used. …”
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Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System by Fengjiao Wu, Junling Ding, Zhengzhong Wang

“…The robust finite-time control for a Francis hydroturbine governing system is investigated in this paper. Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. …”
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Singularity-Free Neural Control for the Exponential Trajectory Tracking in Multiple-Input Uncertain Systems with Unknown Deadzone Nonlinearities by J. Humberto Pérez-Cruz, José de Jesús Rubio, Rodrigo Encinas, Ricardo Balcazar

“…Given this neural network-based mathematical model of the uncertain system, a singularity-free feedback linearization control law is developed in order to compel the system state to follow a reference trajectory. …”
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Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action by Alexey A. Semenov

“…The paper proposes to extend the previously proposed approach to modeling the process of deformation of thin shells to a class of problems with periodic effects. A mathematical model is used based on the Timoshenko - Reissner hypotheses, taking into account transverse shears, geometric nonlinearity and rotational inertia. …”
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Simulation Study and Experimental Validation of Automated Mechanical Transmission Vehicle Transmission System based on Simscape by Tang Zhiyao, Zhang Bangji, Wang Ming, He Xiong, Kong Guoling

“…The traditional modeling method of simulation and study of Automated Mechanical Transmission（ AMT） powertrain for vehicle is using simulation platform to establish the mathematical model of AMT powertrain presently,but this method has a heavy workload. …”
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An Analytical Approach to the New Solution of Family of Kuramoto Sivashinsky Equation by q-Homotopy Analysis Technique by Abdullah Shah, Safdar Hussain

“…Results are obtained for some fixed values of physically significant parameters involved in the mathematical model. The computed results are compared with the travelling wave solutions and are illustrated graphically and in tabulated form for absolute error estimation. …”
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Dynamic Modeling and Optimal Control for Complex Systems with Statistical Trajectory by Lingli Guo, Zhengguang Xu, Ye Wang

“…Firstly, a novel discrete-time nonlinear working state class dynamic mathematical model of sintering machine is constructed by K-means cluster method for the local data, which overcomes difficulties of modeling by mechanism and describes the class change against the point movement. …”
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Effect of Ground Plane Deformation on Electrical Performance of Air Microstrip Antennas by Wei Wang, Yanjun Wang, Shunxi Lou, Shuo Zhang, Yatian Zhou

“…The equivalent thickness of the air medium is introduced into the calculation model, and then the mathematical model is established to describe the resonant frequency offset and deformation amplitude. …”
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Sensitivity of signaling pathway dynamics to plasmid transfection and its consequences by Jaroslaw Smieja, Marzena Dolbniak

“…In order to illustrate this, an original mathematical model of miRNA-mediated control of gene expression in the NF$\kappa$B pathway is presented. …”
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Modelling Decision-Making Processes in the Management Support of the Manufacturing Element in the Logistic Supply Chain by Robert Bucki, Petr Suchánek

“…This paper highlights the problems of mathematical modelling for a specific element of the logistic supply chain, that is, the manufacturing system. …”
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Research of Reachable Workspace of 2-RPR+RRP Spherical Hybrid Mechanism by Zhao Jianwen, Song Shengtao, Li Ruiqin, Li Dahai

“…Secondly,taking the geometric relation of mechanism as the constraint condition and combining with the rotation matrix,the mathematical model of the closed positive solution of the kinematics position of the mechanism is established. …”
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