Modeling and Analysis on the Evolution Process of Tool Working Angle in Gear Skiving Process by Yongpeng Chen, Hongliang Liu, Yong Yang

“…Primarily，the kinematics model is established based on gear skiving principle and coordinate transformation method. And the mathematical model which specifying the forming flank，rake face and cutting edge of the skiving cutter is proposed according to the geometric configuration of skiving cutter. …”
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Multiple Linear Regression Model Based on Neural Network and Its Application in the MBR Simulation by Chunqing Li, Zixiang Yang, Yiquan Deng, Tao Wang

“…In order to compensate for the defects, for example, long test period, high cost, invisible equipment seal, and so forth, on the basis of conducting in-depth study of the mathematical model of the MBR, combining with neural network theory, this paper proposed a three-dimensional simulation system for MBR wastewater treatment, with fast speed, high efficiency, and good visualization. …”
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Research on Attitude Measurement Method of Special Aircraft Using Geomagnetic Sensor/Gyroscope Based on UKF by Zhang Ping-an, Wang Wei, Gao Min, Wang Yi

“…Based on the output information of the three-axis geomagnetic sensor and three-axis gyroscope, a mathematical model for measuring the flight attitude information of special aircraft is established, and the flight attitude of the special aircraft is calculated in real time. …”
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Observer Based Optimal Vibration Control of a Full Aircraft System Having Active Landing Gears and Biodynamic Pilot Model by Hakan Yazici, Mert Sever

“…An eleven-degree-of-freedom detailed full aircraft mathematical model having active landing gears and a seated pilot body is developed to control and analyze aircraft vibrations caused by runway excitation, when the aircraft is taxiing. …”
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A New Adaptive Control for Five-Phase Fault-Tolerant Flux-Switching Permanent Magnet Motor by Hongyu Tang, Wenxiang Zhao, Chenyu Gu

“…In this paper, its operation principle is presented briefly and its mathematical model is derived. Further, a new adaptive control for an FT-FSPM motor, based on the backstepping method and the sliding mode control strategy, is proposed. …”
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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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Geographic recommender systems in e-commerce based on population by Mohamed Shili, Osama Sohaib

“…The method also includes a mathematical model that considers population intensity to refine further recommendations established on the regional model.…”
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Research on the Modeling and Kinematic Simulation Analysis of Parallel Indexing Cam Mechanism by Zhao Shitian, Fu Yingying, Zheng Lei, Xiao Haining, Lu Ziheng

“…Through the analysis of the indexing motion of parallel indexing cam mechanism，the mathematical model of the contour surface of parallel indexing cam is established by using the homogeneous coordinate transformation method，the data points of the contour surface are collected by software programming，the three-dimensional model of the mechanism is established by Creo and output to Adams after assembly，the virtual prototype of the mechanism is established and the kinematic characteristics are simulated. …”
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Reliability analysis of landing gear operation based on improved support vector machine-based decomposed-coordinated by ZHANG Lei, CHEN Junyu, FENG Jun, FENG Yunwen, LIU Lei

“…The improved support vector machine aims to optimize the performance of the limit state function in each sub-mathematical model by applying multi-stage adaptive point position control of hyperparameters. …”
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Kinematics Modeling and Simulation of a Self-propelled Wrapping Packaging Robot by Chen Yu, Shi Yalei, Hu Yakai, Wang Liangwen, Liu Xuling, Jing Xiaodi

“…A simulation analysis system is developed based on the mathematical model of the mobile robot arm and the model of winding typical objects. …”
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A note on global stability for malaria infections model with latencies by Jinliang Wang, Jingmei Pang, Toshikazu Kuniya

“…., 10(2) 2013, 463-481.] presented a mathematical model to investigate the spread of malaria. …”
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Modeling and Analysis of Fasciola Hepatica Disease Transmission by Dagnaw Tantie Yihunie, Joseph Y. T. Mugisha, Dawit Melese Gebru, Haileyesus Tessema Alemneh

“…In this paper, a mathematical model for the transmission dynamics of Fasciola hepatica in cattle and snail populations is formulated and analyzed. …”
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Dynamic Modeling and Control of Electromechanical Coupling for Mechanical Elastic Energy Storage System by Yang Yu, Zengqiang Mi

“…The mechanical device of the complex system is considered as a node in generalized coordinate system, the terse nonlinear dynamic model of electromechanical coupling for the electromechanical system is constructed through Lagrange-Maxwell energy method, and the detailed deduction of the mathematical model is presented in the paper. The theory of direct feedback linearization (DFL) is applied to decouple the nonlinear dynamic model and convert the developed model from nonlinear to linear. …”
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Influence of Error Factors on Transmission Contact for Spiral Bevel Gears by Wang Mingyang, Li Shuwen, Sun Yuehai

“…Firstly, based on the cutter head approximation machining method, a tooth flank mathematical model of the line contact spiral bevel gear is developed, and the correctness of this model is verified. …”
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Numerical Compensation Method for Measuring Error of Tooth Profile of ZC1 Worm on Shaft Section by Zhiqiang Zhu, Jie Tang, Zhaoyao Shi

“…According to the mathematical model of ZC1 worm shaft section tooth profile，the theoretical discrete points of worm shaft section tooth profile can be obtained. …”
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Multi-objective Optimization Design of Planetary Cycloidal Reducer Structure with Considering Failure Correlation by Shengyu Zheng, Gang Zhao, Zhengming Xiao, Jialin Tan, Jiawei Liu

“…Taking a heavy-duty planetary cycloidal reducer as the research object，the reliability mathematical model of each subcomponent is constructed based on the force analysis of two-stage transmission system subcomponents，and the reliability is correlated and coupled by Copula function to construct a system reliability model considering failure correlation； on this basis，a multi-objective optimization model with minimum volume and maximum reliability is constructed，and NSGA-Ⅱ（Non-dominated sorted genetic algorithm-Ⅱ） algorithm is used to solve the model，and it is compared and analyzed with the system reliability model considering the independence assumption. …”
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Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration by Islam M. Eldesoky

“…With a view to illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity, wall shear stress, and fluid acceleration are given. …”
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Production-Distribution of Perishable Food considering Customer Time Window by Weibin Feng, Shangcheng Du, Yanli Xiao, Xiangyang Ren

“…Aiming at the production-distribution problem of perishable food, considering the interference caused by the change of the customer’s time window in actual distribution process, using the ideas of disruption management, analyzing the disturbance of the interference event to the production-distribution system, and constructing the perishable food production-distribution problem disturbance identification and disturbance measurement, and with the minimum deviation between the new scheme and the original scheme as the goal, a mathematical model of disturbance recovery is established. …”
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Optimal Design of Fault-Tolerant Controller for an Electric Power Steering System with Sensor Failures Using Genetic Algorithm by Xue Liu, Hui Pang, Yuting Shang, Wen Wu

“…This paper focuses on the fault-tolerant control (FTC) problem for an electric power steering (EPS) system subjected to stochastic sensor failures, and a novel fault-tolerant controller is proposed based on the genetic algorithm (GA). A mathematical model of the EPS system with sensor failures is first established, and the state feedback control law is solved by using linear quadratic regulator techniques to stabilize the closed-loop control system. …”
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Sensing Coverage Prediction for Wireless Sensor Networks in Shadowed and Multipath Environment by Sushil Kumar, D. K. Lobiyal

“…We have proposed a new sensing channel model that considers combined impact of shadowing fading and multipath effects. A mathematical model for calculating coverage probability in the presence of multipath fading combined with shadowing is derived based on received signal strength (RSS). …”
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