Load-balanced self-routing switching structure by LI Hui1, WANG Bing-rui1, HUANG Jia-qing3, AN Hui-yao1, LEI Kai1, YI Peng4, WANG Bin-qiang4

“…With simple algorithms and small buffers, the first stage structure transformed the arriving traffic into uniform and the second stage forwarded the data in a self-routing manner to their final destinations. Mathematical analysis and simulations show that it can obtain 100% throughput under admissible traffic pattern, and it achieves 100% throughput under statistically admissible pattern with parallel stacking scheme. …”
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Spectral efficient optimisation for multihop relay networks adopting HARQ schemes by Junmei Han, Yong Xi, Jibo Wei

“…However, this problem is not always mathematically tractable for three HARQ schemes. Hence, low‐complexity iterative algorithms are proposed to obtain the optimisation strategies. …”
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Efficient Design Methodology for a Complex DRA-SIW Filter-Antenna Subsystem by Umair Naeem, Amjad Iqbal, Muhammad Farhan Shafique, Stéphane Bila

“…The work focuses on the characterization of radiating and filtering elements and then proposes a reliable model, which is derived mathematically as well as from rigorous statistical analyses, which can then be used for designing hybrid filter-antenna structures such as a hybrid DRA codesigned with a SIW based multimode filter. …”
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Study on the Dynamics Characteristic of Helical Gear with Tooth Profile Deviation by Zhang Yanjie, Wu Xuncheng, Zhang Juecheng

“…For study the impact of the tooth profile total deviation on the dynamics characteristic of helical gear,based on theoretical involute and tooth profile total deviation value,the mathematical model of error involute with tooth profile deviation is established.By taking a involute helical gear pair as the research object,the 3D model of helical gear pair with tooth profile deviation is established by using UG,and the reliability of the ideal model is verified by using ADAMS.Meanwhile,combining the ANSYS,the angular velocity,angular acceleration of driven gear of the error model and ideal model are compared and analyzed.The results show that the conclusion in dynamics simulation based on ADAMS is the nearly same as transient kinetic analysis based on ANSYS.The tooth profile deviation has significant effect on the angular velocity and angular acceleration of driven gear.…”
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INFLUENCE OF LINING THERMAL PERFORMANCE IN ELECTRIC-ARC FURNACES ON POWER CONSUMPTION by S.. V. Korneev

“…It has been  shown that on the basis of mathematical modeling methods for thermal processes it is possible to predict power consumption of furnaces at the operational split schedule with due account of such furnace characteristics as capacity, lining materials, furnace idle times under closed and open conditions etc. …”
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Optimal Synthesis of Pose Repeatability for a Collaborative Robot by Xu Liu, Song Wang, Aihua Liu, Mingwei Hu

“…Firstly， based on the analysis of pose repeatability of robots， a mathematical model of pose repeatability is established. …”
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L’enseignement de l’EPS comme espace de bien-être relationnel by Emmanuel Fernandes, Iman Nefil, Sébastien Calais, Célia Yakoubi

“…In Maths, the representations reflect a stereotyped rigour of pupils frozen by the mathematical operations to be performed. In French, the representations reflect a relational malaise and a rejection of this discipline. …”
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Research of the Model of the Deviation Measurement and Accuracy Standard Establishment of the Ellipse Family Gear by Gao Ting, Han Jiang, Li Dazhu, Xia Lian

“…The non- circular gears which have the characteristics of the ellipse is induced to elliptical family gear,the curve characteristics are discussed and the general mathematical model is summarized. On the basis of in- depth analysis of cylindrical gear,bevel gear and small module gear accuracy standard,combining with the characteristics of elliptical family gear,its accuracy standard,single deviation items and comprehensive deviation item are formulated,the 5 grades accuracy calculation formula is deduced,the accuracy grade is divided,the grade proportion is initially determined. …”
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Increasing the cyclic strength of threaded joints through the unloading of cracked sections by Krenevičius A., Kačianauskas R., Leonavičius M., Hui D., Feo L.

“…It was shown how to exploit resources of the threaded joint after opening of the crack without reduction of the safety. The developed mathematical model allows control the accumulation of the fatigue damage as well as the crack growth in the roots of the stud thread. …”
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Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications by Ramadan A. ZeinEldin, Muhammad Ahsan ul Haq, Sharqa Hashmi, Mahmoud Elsehety

“…The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. …”
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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis by Ning Zhang, Tahir Khan, Haomin Guo, Shaoshuai Shi, Wei Zhong, Weiwei Zhang

“…Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. …”
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A Rotary Joint Actuating Device and Its Electrical Drive Scheme by Tian Guangjun, Gu Lina, Lü Panjie

“…Based on the motion analysis,the mathematical model of the rotary joint is established,the rotational range of the end-effector is got. …”
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Design Analysis and Implementation of a Passive Expansion Spherical Robot by Shao Pai, Qin Jianjun, Cao Yu, Liu Xingjie, Chen Haonan

“…A linear expanded rack-and-pinion mechanism is introduced to design a spherical robot with compact structure and multiple motion modes. Mathematical models are established to perform kinematic and dynamic analysis of spherical robot mechanisms, the simulation results of rolling and obstacle crossing are compared with the theoretical values to verify the correctness of kinematics and dynamics. …”
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Planar Smooth Path Guidance Law for a Small Unmanned Aerial Vehicle with Parameter Tuned by Fuzzy Logic by Yang Chen, Jianhong Liang, Chaolei Wang, Yicheng Zhang, Tianmiao Wang, Chenghao Xue

“…The guidance law only needs the mathematical expression for the predefined path, the positions, and the velocities of the vehicle in the horizontal inertial frame. …”
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A Decision-Making Model Using Machine Learning for Improving Dispatching Efficiency in Chengdu Shuangliu Airport by Yingmiao Qian, Shuhang Chen, Jianchang Li, Qinxin Ren, Jinfu Zhu, Ruijia Yuan, Hao Su

“…Aiming at the problem of optimizing the allocation of taxi resource, this paper is based on the cost-benefit analysis method to determine the factors that affect the taxi driver’s decision-making. The mathematical methods such as function equation, BP neural network algorithm, and queuing theory were used to establish a complete decision-making model for taxi drivers and an optimization model of dispatching efficiency at the airport. …”
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Ooi K. T., Shakya P. A Simulation studies of a coupled vane compressor / trans. from Engl. M. A. Fedorova by M. A. Fedorova

“…In this paper, the mathematical models of the novel Coupled Vane compressor (CVC) is formulated to study its operational characteristics and to assess its performance. …”
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Influence of Concrete Creep on the Bending of a Prestressed Bridge Beam by Petr P. Gaidzhurov, Elvira R. Iskhakova, Nina A. Saveleva

“…Moreover, there are no mechanic-mathematical models of hereditary type oriented to the finite-element method.The concept of modelling of long-term deformation of reinforced concrete structures in a three-dimensional statement, based on the use of the integral deformation modulus of concrete, does not allow one to carry out designing considering the technological prehistory. …”
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Case studies in numerical simulation of crack trajectories in brittle materials by H. Jasarevic, S. Gagula

“…The “diffusion approximation” of the crack diffusion model represents crack trajectories as a one-dimensional Wiener process with advantage of well-developed mathematical formalism and simplicity of creating computer generated realizations (fractal dimension d = 1.5). …”
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Adaptive coverage control for multi-USV system in complex environment with unknown obstacles by Yao Yao, Jun-Hua Cao, Yi Guo, Zhun Fan, Bing Li, Biao Xu, Ke Li

“…The coverage goal, which is to cover a given search domain using multiple mobile sensors so that each point is surveyed until a certain preset level is achieved, is formulated in a mathematically precise problem statement. The adaptive control law is presented which enables multi-USV to navigate in a complex environment in the presence of unknown obstacles and guarantees that a fully connected multi-USV system attains the coverage goal. …”
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Modeling of flows under dams using the method of singular points by N.P. Petrov, S.N. Petrova, N.V. Korzhavina

“…To ensure this, theoretical research, creation of mathematical and computer models of the physical phe nomena and engineering structures under study are necessary. …”
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