Numerical Simulation of Hypoid Gear Hot Rolling Forming based on Anti-conjugate Principle Design Tool Pinion by Tang Hongyan, Deng Xiaozhong, Gao Zhenshan

“…Based on generating method machining pinion of hypoid gear,according to the cutting coordinate system of milling cutter and tooth surface equation,the mathematical model of machining pinion of hypoid gear is established,the theoretical tooth surface equation of pinion. …”
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Maximal productivity rate of threading machine operations by Ryspek Usubamatov, Darina Kurganova, Sarken Kapayeva

“…The physics of metal-cutting technologies is complex and cannot be described by one mathematical model because of different natures. Researchers derived an empirical formula of their tool life that describes the properties of the metal-cutting tools depending on many mechanical factors mentioned above. …”
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Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor by Ningning Yang, Shucan Cheng, Chaojun Wu, Rong Jia, Chongxin Liu

“…It is proved that the circuit based on the diode bridge cascaded with fractional-order inductor has volt-ampere characteristics of pinched hysteresis loop. Then the mathematical model of the fractional-order memristor chaotic circuit is obtained. …”
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CONTACT STIFFNESS MEASUREMENT AND GRINDING PARAMETERS OPTIMIZATION OF CYLINDRICAL PLUNGE GRINDING (MT) by WANG JiaLe, LI HaoLin, SUN ShiYu, WANG NengYang, CAO WenJie, CUI Yi

“…Based on the dynamic model of plunge cylindrical grinding process, the transfer function of grinding process is deduced, and the mathematical model of the time constant and contact stiffness is established. …”
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A data-driven modeling method for secondary frequency regulation characteristic of thermal power units by LI Zhijun, SHA Qianli, YAN Xinrong, YAN Gangui, ZHU Lin, FANG Zheng, LI Junhui

“…Next， a second-order model represents the mathematical model of the units， with online adjustments to the model's damping coefficients to enhance adaptability to changes in regulation intensity. …”
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Model validation for a noninvasive arterial stenosis detection problem by H. Thomas Banks, Shuhua Hu, Zackary R. Kenz, Carola Kruse, Simon Shaw, John Whiteman, Mark P. Brewin, Stephen E. Greenwald, Malcolm J. Birch

“…In order to develop this methodology further, we use one-dimensional shear wave experimental data from novel acoustic phantoms to validate a corresponding viscoelastic mathematical model. We estimate model parameters which give a good fit (in a sense to be precisely defined) to the experimental data, and use asymptotic error theory to provide confidence intervals for parameter estimates. …”
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Simulation Analysis and Experimental Study of Human Lower Limb Joint Motion by Xin Zhou, Geng Liu, Bing Han, Kai Qiao, Xiaoli Liu

“…Based on the motion mechanism and biomechanics of human lower limb joints， the structure， function and motion law of human bones and joints are introduced. A simplified mathematical model of human lower limbs is established， and the posture coordinate equations of hip， knee and ankle joints are obtained. …”
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Effect of Low Ambient Pressure on Spray Cone Angle of Pressure Swirl Atomizer by Zhengyan Guo, Yi Jin, Kai Zhang, Kanghong Yao, Yunbiao Wang, Di Wu, Xiaomin He, Mei Zheng

“…The spray angle is captured by high-speed photography; then, an image post program is used to process the spray angle magnitude. A mathematical model of a single droplet’s movement and trajectory based on force analysis is proposed to validate the spray angle variation. …”
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Studies on the Effects of Interphase Heat Exchange during Thermal Explosion in a Combustible Dusty Gas with General Arrhenius Reaction-Rate Laws by K. S. Adegbie, F. I. Alao

“…A mathematical model for thermal explosion in a combustible dusty gas containing fuel droplets with general Arrhenius reaction-rate laws, convective and radiative heat losses, and interphase heat exchange between gas and inert solid particles is investigated. …”
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A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control by Mustapha Lhous, Omar Zakary, Mostafa Rachik

“…The main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-time model. …”
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Spatial Object Tracking Using an Enhanced Mean Shift Method Based on Perceptual Spatial-Space Generation Model by Pengcheng Han, Junping Du, Ming Fang

“…Therefore, it is necessary to propose a more intelligent mathematical model. In this paper, we present an intelligent modeling method using an enhanced mean shift method based on a perceptual spatial-space generation model. …”
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Calculation Method of Geometrical Center and Tooth Profile Error Calculation of Large Cylindrical Gear by Zhao Jun, Ye Ting, Guo Tiantai, Kong Ming, Wang Daodang, Lu Shouchuang

“…On the basis of the establishment of discrete data model of involute gear,a method to calculate the geometrical center of large cylindrical gear is put forward,and the corresponding mathematical model is established. According to the calculated result of gear center,the gear tooth profile error is calculated,and compared with the calculated result with the standard gear geometrical center known. …”
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Investigation of Fracture Width Change under Closure Pressure in Unconventional Reservoir Based on the Hertz Contact Theory by Lifei Dong, Di Wang, Fengxia Li, Xinye Fu, Miao Wang

“…In this work, the mathematical model for the propping behavior of proppants in the fracture under closure pressure is established based on the Hertz contact theory. …”
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The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects by Steady Mushayabasa

“…We propose and analyze a mathematical model for alcohol drinking problem. The transmission process is modeled as a social “contact” process between “heavy” alcohol drinkers and “light” alcohol drinkers within an unchanging shared drinking environment. …”
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Emergence of power law distributions in protein-protein interaction networks through study bias by David B Blumenthal, Marta Lucchetta, Linda Kleist, Sándor P Fekete, Markus List, Martin H Schaefer

“…Our findings are supported by mathematical models and extensive simulations, and indicate that study bias and technical bias suffice to produce the observed PL distribution. …”
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Design and Motion Analysis of an Automatic Retractable Manipulator for a Vehicle-mounted Wheelchair by Cui Jiahui, Li Lin, Liang Dong, Qin Chengxin

“…A five degrees of freedom manipulator for automatic retractable vehicle-mounted wheelchairs is proposed. Firstly, the mathematical model of the manipulator is established according to the D-H method, and the forward and inverse kinematics analysis is carried out. …”
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Kinematics Analysis and Simulation of Line-driven Hedge Trimming Manipulator by Xue Zan, Luo Tianhong, Chen Cai

“…The forward kinematics mathematical model of 10-DOF manipulator is analyzed based on D-H parameter method. …”
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Research of the Special Processing Equipment Development and Trial Production of Roller Enveloping End Face Engagement Worm Pair by Kai Wang

“…According to the transmission principle and mathematical model of the roller envelope end face meshing worm drive， the conjugate relationship of the roller envelope end face meshing worm is analyzed， and the design scheme of the roller envelope end face meshing worm special processing equipment is proposed， and the special processing equipment is developed and carried out. …”
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Research of the Lapping Burn and Inhibition of Hypoid Gear by Liu Xianghuan, Liu Defu, Chen Tao, Zhang Yu

“…By establishing the mathematical model of the hypoid gear meshing point relative sliding and by calculating the relative sliding speed of each meshing point,it’s found that the burned area of tooth surface is the biggest relative sliding velocity. …”
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Population Dynamic Study of Prey-Predator Interactions with Weak Allee Effect, Fear Effect, and Delay by Ye Xuan Li, Hua Liu, Yu Mei Wei, Ming Ma, Gang Ma, Jing Yan Ma

“…Then, to make the model more realistic, we introduce the gestation delay in the proposed mathematical model. Stability and Hopf bifurcation are also analyzed. …”
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