Study on Modification and Tooth Tip Sharping Analysis of Orthogonal Arc Tooth Face Gears by Zhanrong Feng, Guangjin Xiong, Lingfeng Gao, Chao Luo

“…Tooth surface equations of cylindrical gears with arc teeth and face gears are derived， which are based on differential geometry calculation and principle of gear meshing. Mathematical models of working tooth surface and transitional tooth surface are established based on Matlab. …”
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Effect of Raphia vinifera Fibre Size and Reinforcement Ratio on the Physical and Mechanical Properties of an Epoxy Matrix Composite: Micromechanical Modelling and Weibull Analysis by Syrille Brice Tchinwoussi Youbi, Omar Harzallah, Nicodème Rodrigue Sikame Tagne, Paul William Mejouyo Huisken, Tido Tiwa Stanislas, Jean-Yves Drean, Sophie Bistac, Ebenezer Njeugna

“…Furthermore, the Cox–Krenkel mathematical model has the best approximated model for the experimental results after the tensile test. …”
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Modeling of Throughput in Production Lines Using Response Surface Methodology and Artificial Neural Networks by Federico Nuñez-Piña, Joselito Medina-Marin, Juan Carlos Seck-Tuoh-Mora, Norberto Hernandez-Romero, Eva Selene Hernandez-Gress

“…Response surface methodology and artificial neural network were used to develop predictive models to find optimal throughput values. 360 production rate values for different number of buffer slots and workstations were used to obtain a fourth-order mathematical model and four hidden layers’ artificial neural network. …”
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Multiobjective Optimization Management of Construction Engineering Based on Ant Colony Algorithm by Xuejie Liang

“…Then, combined with the idea of multiobjective optimization, the multiobjective optimization mathematical model of construction process is constructed, and the construction data obtained from field investigation are summarized and analyzed to obtain the cost, construction period, and carbon emission of each process under different execution modes. …”
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Analysis and design of a fixed wing unmanned aerial vehicle gas launching system by LI Xiang, LI Qiang, WANG Teng, WANG Shaoquan, ZHANG Shiyu

“…In order to meet the development requirements of unmanned aerial vehicle (UAV) boosters, a detachable launch booster for fixed wing UAVs was designed, which is driven by high-pressure carbon dioxide gas. A mathematical model for gas launch was established based on the internal ballistic equation of the gas cannon. …”
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Stochastic Dynamic Model of Sulfate Corrosion Reactions in Concrete Materials considering the Effects of Colored Gaussian Noises by Tao Li, Bin Zhang

“…Results show that the stochastic dynamical responses of the corrosion reactions in concrete can be comprehensively investigated by the proposed stochastic mathematical model; the probabilistic information of the corrosion products can also be obtained conveniently. …”
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A Fractional Model for the Dynamics of Smoking Tobacco Using Caputo–Fabrizio Derivative by Belaynesh Melkamu, Benyam Mebrate

“…In this paper, we propose a Caputo–Fabrizio fractional derivative mathematical model consisting of smoker, people exposed to secondhand smoker, people exposed to thirdhand smoker, and quitters. …”
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Online Identification Method for Mechanical Parameters of Dual-Inertia Servo System by Bo Wang, Runze Ji, Chengpeng Zhou, Kai Liu, Wei Hua, Hairong Ye

“…The identification of the mechanical parameters of the dual-inertia servo system is thus undertaken. A simplified mathematical model of the dual-inertia system is constructed, the principle of mechanical parameter identification of the dual-inertia system is elucidated, an online identification algorithm based on the forgetting factor recursive least square (FFRLS) is investigated, and factors affecting the identification accuracy are analyzed. …”
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Location-Routing Problem of Emergency Facilities under Uncertain Demand by Branch-Price and Cut by Xuchen Deng

“…We propose a robust mathematical model in which uncertain requirements are represented by two forms: the support set defined by cardinal constraint set. …”
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OPTIMIZATION OF THE CONE BIT OF SPHERICAL FLOATING SLEEVE BASED ON RESPONSE SURFACE METHODOLOGY by HE Wei, SHEN PingSheng, LI HuaChuan, CHEN Yang, HE JunChao, HUANG Shuai

“…In order to improve the life of the cone bit sliding bearing,eliminates the edge stress concentration phenomenon of the spherical floating sleeve end portion,the circular groove structure of Spherical floating sleeve was optimized by the combination of response surface methodology and the finite element method. the objective function was established by along the contact line of the middle stress σmand end stress σedifference between the floating sleeve of outer spherical surface and inner surface,σ₁、σ₂ was called objective function,The distance from the center of the circular groove to the floating sleeve surface h and the radius r of the circular groove and the distance from the center of the circular groove to the end face of the floating sleeve t was design variable,so the optimization of mathematical model was established. By regression analysis model,obtained the circular groove of optimal controllably parameters: r = 0. 53 mm、t = 0. 07 mm、h = 1. 10 mm. …”
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Methods and Models for Metabolic Assessment in Mice by G. Pacini, B. Omar, B. Ahrén

“…For all these experiments, including some commonly adopted variants, we describe: (i) their performance; (ii) their advantages and limitations; (iii) the empirical formulas and mathematical models implemented for the analysis of the data arising from the experimental procedures to obtain reliable measurements of peripheral insulin sensitivity and beta cell function. …”
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Application Effect Analysis of the Mie Scattering Theory Based on Big Data Analysis Technology in the Optical Scattering Direction by Suting Chen

“…Under the assumed mathematical model of bubble group scattering, the scattered light intensity of wake can be measured experimentally, and then, the velocity, diameter, and density distribution of the bubble group can be calculated by using the mathematical inversion algorithm. …”
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Nonlinear Pulse Vaccination in an SIR Epidemic Model with Resource Limitation by Wenjie Qin, Sanyi Tang, Robert A. Cheke

“…Mathematical models can assist in the design and understanding of vaccination strategies when resources are limited. …”
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Thermodynamic properties in ternary system of NHHCO–HO–ethanol based on antisolvent method to strengthen crystallization of carbonized ammonia by Yu Zhang, Dongdong Feng, Jianmin Gao, Qian Du, Shaohua Wu

“…In this paper, the solubility curves under different temperature and solvent compositions were determined by static method and the mathematical model of solubility was established. The effects of the addition of ammonium carbamate which was produced in the initial stage of the CO 2 absorption process and the addition of ammonia on the solubility in ternary system of NH 4 HCO 3 –H 2 O–ethanol were studied. …”
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Experimental and computational study on dynamic analysis of cracked simply supported structures under moving mass by Cihan O. Bulut, Shakti P. Jena, Serpil Kurt

“…The transverse open cracks with numerous damage scenerios are considered for the mathematical modelling of the system. The governing equations of motion for the system have been obtained and the equations have been solved by the help of Duhamel integral technique. …”
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Sizing and Simulation of PV-Wind Hybrid Power System by Mustafa Engin

“…A sizing procedure is developed for hybrid system with the aid of mathematical models for photovoltaic cell, wind turbine, and battery that are readily present in the literature. …”
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Research on Meshing Principle and Active Design Method of Uniform-variable Gear Drive by Jian Wang, Jianming Fan, Yong Feng

“…According to the characteristics of smooth curve and closed pitch curve，the mathematical models of pitch curves are derived based on given motion feature of the driven gear. …”
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Simulation of a multi-layered facility location model by cosidering queueing theory by Mahdi Yousefi Nejad Attari, Saeed Kolahi-Randji, Aniseh Neishabouri Jami

“…In order to solve the mathematical model, discrete event simulation approach has been used to increase efficiency. …”
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Dynamic Study of a Capacitive MEMS Switch with Double Clamped-Clamped Microbeams by Hatem Samaali, Fehmi Najar, Slim Choura

“…We first develop a mathematical model for the MEMS switch where the upper microbeam represents the ground transmission line and the lower one represents the central transmission line. …”
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Optimal (Control of) Intervention Strategies for Malaria Epidemic in Karonga District, Malawi by Peter M. Mwamtobe, Shirley Abelman, J. Michel Tchuenche, Ansley Kasambara

“…A deterministic mathematical model with intervention strategies is developed in order to investigate the effectiveness and optimal control strategies of indoor residual spraying (IRS), insecticide treated nets (ITNs) and treatment on the transmission dynamics of malaria in Karonga District, Malawi. …”
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