Optimization Design of Gear Parameter of a Tri-polar Parallel Gear Pump by Wang Shuangzhen

“…The optimization design of a tri-polar parallel gear pump is carried out by taking the minimum volume of the pump body as the objective function.In the mathematical model,the gear parameters such as modulus,tooth numbers,and thickness are taken as design variables,and the constraint condition is that the tri-polar parallel gear pump can meet the prescribed performance requirements.In the objective function,the volume of pump is replaced by the total volume of 4 mounting holes of addendum circles,which accurately reflects the volume of pump.In the process of solving optimization mathematical model,a new three-dimensional step-by-step search algorithm is proposed according to the characteristic that the formula of the objective function is very complex and the modulus,tooth numbers of gears are discrete variables.Thus an optimization algorithm for the tri-polar parallel gear pump designing is provided,and through an example,the feasibility and effectiveness of the algorithm are verified.…”
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Modelling of Hg Removal from Gaseous Streams and its Fixation in Hydroxyapatite-Based Adsorbents Modified with Copper Sulphide by C.L.M. Camargo, A.G. Oliveira, N.S. Resende, E.C. Biscaia, A.R. Secchi, F.W. Tavares, V.M.M. Salim

“…In this work, a mathematical model of a fixed-bed process for elemental mercury removal from gaseous streams is proposed. …”
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Effect of Varying Illumination and Temperature on Steady-State and Dynamic Parameters of Dye-Sensitized Solar Cell Using AC Impedance Modeling by Brijesh Tripathi, Pankaj Yadav, Manoj Kumar

“…The steady-state current-voltage curve and dynamic response of a dye-sensitized solar cell (DSSC) is mathematically modeled based on electrical equivalent circuit. …”
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Optimal energy-efficiency beamforming design for SWIPT-enabled sink in sensor cloud based on deep learning by Zhe WANG, Taoshen LI, Lina GE, Guifen ZHANG, Min WU

“…To solve the problems of high complexity and poor real-time performance caused by traditional wireless resource management based on optimization methods, the energy efficiency maximization problem of sink node and its mathematical model were established for SWIPT-enabled sensor-cloud system, then the deep learning method was introduced to realize the solving and online decision-making with lower complexity and higher real-time performance.The mathematical model was transformed into a high-dimensional solvable form, and then a SWIFT-WMMSE algorithm with iterated forms was designed to solve optimal beamforming vector.The convergence of SWIPT-WMMSE algorithm was proved.Then, based on error propagation of DNN approximation, the scale design criteria for the DNN was deduced, and the approximation was realized through DNN training.Finally, the simulation results verify the effectiveness of SWIPT-WMMSE and DNN algorithm, as well as the approximation effect of DNN and its system performance gains.…”
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Investigation of the matematical model of the multimensional automatic control system by Jonas Rimas

“… The mathematical model of the mutual synchronization system composed of n = 4p (p ∈ N) joined into a ring oscillators is investigated. …”
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Huntley Complement while Determining Area of Rational Pressurized Ventilation Usage by Ya. A. Gusentsova

“…An optimum utilization criterion for pressurized  ventilation and air heating systems of public and office buildings has been obtained on the basis of generalized mathematical model of thermal and aerodynamic characteristics of air heating and ventilation systems.…”
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MATHEMATICAL FORMULATION OF PLASTIC CHARACTERISTICS OF WIRE OF STEEL 70 AT HIGH-SPEED WIRE DRAWING by Yu. L. Bobarikin, S. V. Avsejkov

“…The carried out numerical experiments subject to initial and boundary conditions indicate that mathematical model of elastic-plastic characteristics of steel 90 can be used for numerical calculations of wire drawing routes for this grade of steel.…”
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Establishment of Optimum Ecological System for Monitoring Boiler Units by V. I. Nazarov

“…A mathematical model has been proposed for ecological monitoring of a boiler unit. …”
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EFFECT OF THE ALLOY COOLING RATE ON THE FORMATION OF CRACKS IN CASTINGS by M. A. Ivanov, V. I. Shevtsov

“…For the first time the theoretical mechanism of calculation of tension in crystallizing castings taking into account its cooling speed is presented. The mathematical model is developed and the chart of tension while crystallizing of the steel 30HNMFL is built.…”
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Investigation of the matematical model of the multimensional automatic control system with delays by Jonas Rimas

“… The mathematical model of the mutual synchronisation system composed of n = 2p + 1  (p ∈ N) joined into a chain oscillators is investigated. …”
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MODELING OF PROCESS OF THE WIRE SLUGS CONTINUOUS VERTICAL CASTING by E. I. Marukovich, V. A. Pumpur, V. A. Harkov

“…The mathematical model of heat-exchange and program complex for modeling o f the process o f the wired slug forming at continuous vertical casting are presented. …”
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FEATURES FORMALIZATION TASKS OF FORMATION OF SOLUTIONS FOR FUNCTIONAL AND PRODUCTION MANAGEMENT INDUSTRIAL ENTERPRISES IN THE MARKET by S. Logvinov

“…Particular attention is paid to the economic and mathematical modeling of structural and manufacturing processes in industrial plants.…”
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Determination of power loss in compressor stage of turbogenerator in dynamic experiments by D. А. Kalashnikov, А. S. Pugachuk, E. О. Chudotvorova, A. V. Chernyshev

“…A mathematical model for the interaction of a gas environment with the surfaces of the impeller of turbogenerator compressor is developed. …”
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Sizing a Hybrid Renewable Energy System by a Coevolutionary Multiobjective Optimization Algorithm by Wenhua Li, Guo Zhang, Xu Yang, Zhang Tao, Hu Xu

“…However, as more and more devices are added into MG, the mathematical model of HRES refers to nonlinear, in which the traditional method is incapable to solve. …”
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A Water Hammer Protection Method for Mine Drainage System Based on Velocity Adjustment of Hydraulic Control Valve by Yanfei Kou, Jieming Yang, Ziming Kou

“…The optimization adjustment strategy is solved from the mathematic model of multistage valve-closing. Taking a mine drainage system as an example, compared results between simulations and experiments show that the proposed method and the optimized valve-closing strategy are effective.…”
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Research on the Multilayer Free Damping Structure Design by Jie Meng, Dagang Sun

“…Based on three specific damping structures, the mathematical model is verified through ABAQUS. With the given structural loss factor (η≥2) and the layer number (n=3,4,5,6), 34 kinds of multilayer free damping structures are then presented. …”
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Complex temperature distribution model for controlling the thermal performance of household led lamps by V. P. Kuzmenko

“…A comprehensive analysis of heat distribution processes in household LED lamps and the development of a mathematical model of the thermal radiation of an LED light source using the finite difference method are presented. …”
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Design and Simulation of Search and Rescue Robot based on Wheel-legged Rover Structure by Jianhua Zhai, Yongqian Wang, Xiaohua Wei, Weidong Ma, Yichao Wang

“…Through the parameter design and statics analysis of the key components， the rationality of static feature is verified， and the mathematically modeling of process of obstacle crossing is carried out， the factors that affect the height of the robot obstacle surmounting are obtained. …”
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Research on the Prepositive Distance of Crosswalk Warning Markings for Unsignalized Road Section by Guohua Liang, Fangfang Wang, Quan Shi, Rui Li, Zhijing Ji, Chenchen Dong

“…This paper proposed an optimal prepositive distance of crosswalk warning markings for unsignalized road section under three different design speeds based on the mathematical modelling and driving simulation. To set up the most efficient mathematical modelling for calculating the layout interval of prepositive distance, the vehicles slowing down behaviour characteristics in front of crosswalk were explored. …”
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Assessment of the influence of gap wall mobility factor at calculation of leakage in working section of a scroll compressor. Part 2 by V. A. Pronin, A. V. Kovanov, V. A. Tsvetkov, E. N. Mikhailova, P. A. Belov

“…Accordingly, an adequate and qualitative mathematical model should include the factor of non-stationarity of the leakage process, taking into account the mobility of scroll elements. …”
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