Theoretical model of homogenized piezoelectric materials with small non-collinear periodic cracks by Jean-Marie Nianga, Driss Marhabi

“…Contrary to the previous investigations, the focus of this paper is the development of a mathematical model taking the non-parallelism of cracks into account.…”
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Parametric Method For Evaluating Optimal Ship Deadweight by Michalski Jan P.

“…The deadweight is determined on the basis of a selected economic measure of the transport effectiveness of ship - the Required Freight Rate (RFR). The mathematical model of the problem is of a deterministic character and the simplifying assumptions are justified for ships operating in the liner trade. …”
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Optimization of spline parameters in approximation of multivalued functions by D. A. Karpov, V. I. Struchenkov

“…The spline parameters were optimized using a new mathematical model in the form of a modified Lagrange function and a special nonlinear programming algorithm. …”
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Modeling Concrete Compressive Strength Variation with Age Using Origin Pro Software. by Nabaweesi, Alice

“…This study aims to develop a mathematical model that accurately predicts the variation of concrete compressive strength with age. …”
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PROSPECTS FOR THE SECOND WAVE OF THE GLOBAL FINANCIAL AND ECONOVIC CRISIS by V. F. Artyushkin

“…Procedure of an economic and political situation current through the situation at the world oil marketforecasting is offered in the article. The compact mathematical model of cycling market fluctuations is the basis of thetechnique. …”
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Design and Research of End-effector for Naval Orange Harvesting by Li Zhipeng, Luo Yufeng, Shi Zhixin, Xie Dongfu, Li Chengwu

“…As for the problem that the efficiency of picking of naval orange is low，a kind of picking actuator with surrounding and swallowing is designed，whose structure of implement is mainly consisted of multiplex slider rocker mechanism.Firstly，structure sketch of that installation is completed by referring to the operating principle of actuator designed，and the analysis of kinematics and dynamics is carried out.Then，the mathematical model of objective function is established based on the least consuming time，the optimized size of related structure are got by utilizing the Matlab software.Finally，based on the obtained dimension，the 3D model of end-effector is achieved，kinematics simulation is carried out by applying Adams software，the rationality and feasibility of design of actuator for naval orange harvesting is verified，and the theoretical support for the practical picking experiment is provided.…”
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Comprehensive Error Modeling and Analysis of Face Gear NC Grinding Machine based on Multi-body System Theory by Ming Xingzu, Wang Wei, Zhao Lei, Li Mande

“…By using the theory of multi-body system and Denavit-Hartenberg homogeneous coordinate transformation,the geometric error and thermal error of face gear NC grinding machine is analyzed.According to the principle of face gear meshing and production mechanism of the grinding error,the mathematic model of comprehensive error contains geometric error and thermal error of the face gear NC grinding machine tool is established.Based on the little error assumption and using Matlab software,the error expression which contains six degrees of freedom is got,additionally,the relationship between the six degrees of freedom and six errors which produced by the grinding wheel spindle movement is analyzed and validated.The basis for improve the machining accuracy of gear and error modeling is provided.…”
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Calculation Method of Transmission System Time Between Overhaul with Considering Running Time by Wenbin Pan, Weizhen Liu, Huaipeng Li

“…By establishing the mathematical model of helicopter transmission system running time and flight time, engine working time, the time ratio relation between running time and flight time is deduced, that is, conversion coefficient. …”
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Eddy Current Field Analysis for Permanent Magnetic Governor by Xu Wei, Sun Jianjun

“…As a new adjustable speed and energy conservation equipment,permanent magnetic governor is installed between motor and loads,using the magnetic circuit coupling principle,the speed control is realized through adjust air coupling area.Firstly,combined with the correlation theory of electromagnetic,the mathematical model of transient eddy current field is built.Then the static analysis of permanent magnetic governor is carried out,the static copper rotor flux distribution and magnetic induction intensity are obtained.Finally,through the finite element simulation of motion eddy current,the eddy current field formation mechanism and some factors affecting on eddy current field are analyzed,a theoretical basis for the bearing capacity of the permanent magnetic governor is provided.…”
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Optimization of Torque Models for Radial Meshing Nutation Magnetic Gears Based on the Genetic Algorithm by Lou Meiyan, Yao Ligang, Guo Chenxian

“…Based on the magnetic vector potential theory of the constant magnetic field, the magnetic induction intensity model of the radial meshing nutation magnetic gears is established, and the mathematical model of the torque of the radial meshing magnetic gear is deduced. …”
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Austenite grain growth calculation of 0.028% Nb steel by Priadi D., Napitupulu R.A.M., Siradj E.S.

“…In this research, we attempted to calculate a mathematical model for austenite grain growth of 0.028% Nb steel, which can account for abnormal grain growth. …”
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Modelling the Effects of Snail Control and Health Education in Clonorchiasis Infection in Foshan, China by Shujing Gao, Ruixia Yuan, Yujiang Liu, Xinzhu Meng

“…In this paper, a mathematical model of clonorchiasis sinensis is proposed to mimic its transmission dynamics to assess the effects of intervention strategies such as snail control, health education, and chemotherapy. …”
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On the frictionless unilateral contact of two viscoelastic bodies by M. Barboteu, T.-V. Hoarau-Mantel, M. Sofonea

“…We consider a mathematical model which describes the quasistatic contact between two deformable bodies. …”
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Kinetic Simulation and Parameter Optimization for Glue Pot Lifting Device of YB49 based on ADAMS by Qu Huayin, Fang Xin, Wang Yong

“…In order to fulfill glue pot lifting device precise positioning operation within YB49 type cigarette packer,by using the kinematic characteristic of the anti- parallel crank mechanism,the accurate mathematical model of glue pot lifting device is created. …”
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A hybrid model for traffic flow and crowd dynamics with random individual properties by Veronika Schleper

“…Based on an established mathematical model for the behavior of large crowds, a new model is derived that is able to take into account the statistical variation of individual maximum walking speeds. …”
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Blind estimation of spreading sequence of CDMA signals based on Fast-ICA and performance analysis by LU Feng-bo, HUANG Zhi-tao, JIANG Wen-li

“…The DS-CDMA signals can be divided into two types,the short-code（SC） and the long-code（LC） DS-CDMA signal.The existing methods are only used to estimate spreading sequences of SC-DS-CDMA signals,which cannot work for the LC-DS-CDMA signals.A new blind estimation algorithm for DS-CDMA signals based on fast independent com-ponent analysis was proposed by analyzing the mathematical model of the LC-DS-CDMA signal and the estimation per-formance of the proposed algorithm in theory was deduced.Moreover,the proposed method not only applies to the LC-DS-CDMA but also SC-DS-CDMA signals.The theoretical analysis and simulation results verify the effectiveness of the proposed algorithm.…”
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Decision Method of Bridge Deck Pavement Maintenance Based on the Decision Maker’s Objective by Xiaofei Liang, Jun Shi, Zhongmei Li

“…By the existing deterioration model, this paper studies the bridge operation safety maintenance strategy, establishes the mathematical model of the influence of different degrees of maintenance measures on the structural performance, combines with the cost-benefit theory, establishes the maintenance risk decision criteria for the decision makers with different objectives, and makes the decision on the selection of the bridge deck pavement scheme based on the enterprise position through an example.…”
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Partial Control of a Continuous Bioreactor: Application to an Anaerobic System for Heavy Metal Removal by M. I. Neria-González, P. A. López-Pérez, R. Aguilar-López

“…Furthermore, a nonlinear controllability analysis was done, which proved the closed-loop instability of the inner or uncontrolled dynamics of the bioreactor. A mathematical model, experimentally corroborated for cadmium removal, was employed as a benchmark for the proposed controller. …”
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Temperature analysis and comparison of active power losses in non-stationary and stationary thermal conditions of overhead power lines by V. M. Trotsenko

“…The practical value of the mathematical model considered in the article lies in determining the maximum temperatures of overhead lines of different sections in normal or post-emergency wire mode. …”
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Research of the Residual Stress Generation and Influence Factor of Grinding Tooth Surface of Spiral Bevel Gear by Zhou Jing, Ming Xingzu

“…The residual stress of spiral bevel gear on the tooth surface is produce by the comprehensive effect of various factors of grinding conditions.The mathematical model of the grinding basic parameters of the effects on grinding residual stress,grinding heat and grinding force.Based on the finite element 3D model of single tooth,the finite element simulation and analysis of residual stress of spiral bevel gear grinding,and the test shows this method is feasible.The results show the residual stress present in the spiral bevel gear tooth surface,while the residual tensile stress in the tooth,the grinding residual stress is connected with grinding depth,wheel speed,extended speed and grinding fluid.The reducing of grinding residual stress can effectively prevent grinding cracks.…”
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