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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Two-Stage Humanitarian Logistics Deprivation Model for the Planning of Scarce KN-95 Facemask Supplies under Agent’s Cooperation by Oscar L. Pineda-Martinez, Carlos D. Paternina-Arboleda, Guisselle A. García-Llinás

“…In this article, through the approach to an emergency such as COVID-19, we propose a two-stage model capable of considering human suffering, the cost of humanitarian logistics, and the benefit obtained by the interaction of suppliers that generally behave as oligopolies through a mathematical programming model and one of the cooperative games. …”
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INFORMATION-ANALYTICAL SYSTEM OF MONITORING OF THE SHADOW OF NON-CASH FLOW: BASIC ELEMENTS, AUTHOR’S SIMULATION ALGORITHM by E. Baturina

“…The purpose of this article is to present the economic and mathematical toolkit for the analysis of information about the shadow activity of subjects of economic crimes and visualization of the structure of the information and analytical system for monitoring the shadow cash flow. …”
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Analysis and Determination of Idler Spacing of Pipe Belt Conveyor by Qiu Shengdong, Chen Jianneng

“…The four main factors that affect the spacing between rollers are expounded. Moreover,the mathematical expression of reasonable arrangement of roller spacing is derived,and the correctness of the expression is verified by an engineering example. …”
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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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The features of kinematic calculation for Wankel’s rotary piston engine by Yu. P. Makushev, T. A. Polyakova, L. Yu. Volkova, V. V. Ryndin

“…Using the Mathcad system as an example, it is shown the possibility of application mathematical software packages for calculations related to the study of the features of the Wankel’s RPD epitrochoid, its calculation, its research and its construction.…”
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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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A dimensional analysis approach to fatigue in quasi-brittle materials by Marco Paggi

“…According to this theoretical approach, the microstructural-size (related to the volumetric content of fibres in fibre-reinforced concrete), the crack-size, and the size-scale effects on the Paris’ law and the Wöhler equation are presented within a unified mathematical framework. Relevant experimental results taken from the literature are used to confirm the theoretical trends and to determine the values of the incomplete self-similarity exponents. …”
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Measuring. Monitoring. Management. Control by B.V. Tsypin, S.P. Prokopchuk

“…Materials and methods. The basic mathematical relationships, recommendations for the organization and procedure of testing and for assessing measurement results are given. …”

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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A dimensional analysis approach to fatigue in quasi-brittle materials by Marco Paggi

“…According to this theoretical approach, the microstructural-size (related to the volumetric content of fibres in fibre-reinforced concrete), the crack-size, and the size-scale effects on the Paris’ law and the Wöhler equation are presented within a unified mathematical framework. Relevant experimental results taken from the literature are used to confirm the theoretical trends and to determine the values of the incomplete self-similarity exponents. …”
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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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Diagnostic Methods for Industrial Systems: A Case Study of Rotary Kilns in Cement Manufacturing by Saidi Amraoui Houda, Janati Idrissi Khalid, Moujibi Nabil

“…Therefore, this study proposes a new solution for processing spatial data using a mathematical method based on the geometric parameters of the kiln shell structure. …”
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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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Optimal Resource Provision of Cloud Center with Guarantee Percentile Response Time by Huaiwen He

“…In order to minimize resource provisioning cost of commercial cloud center，while guarantee percentile response time SLA，a cloud center model based on queuing theory was proposed.Resource provisioning cost was analyzed from an economic point of view，and the mathematical expressions of cloud center percentile response time were deduced.Meanwhile the minimum provisioning cost algorithm（MPCA）was developed to calculate the minimum cost of cloud center，the affect on cloud center cost by load flow，percentile response time and based response time was analyzed via a large number of experiments.The results show that with MPCA to optimized server number and speed of cloud center，it can achieve cost linear increase with increasing traffic load.…”
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Observer-Based Aperiodic Time-Triggered Intermittent Control for Exponential Consensus of Multi-Agent Systems by Xueming Xu, Qingzhi Wang, Baozeng Fu, Lijie Wang

“…In this paper, an observer-based aperiodic time-triggered intermittent control protocol (OATICP) is explored for achieving exponential consensus of multi-agent systems (MASs). The mathematical expression of OATICP is initially put forward. …”
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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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