Optimization Design of Mixed Discrete Variable based on Variable Transformation Method by Lian Qinghui, Lan Zhaohui

“…The deficiency of mixed discrete variables for the current optimal design is analyzed.A variable transformation method for mixed discrete variables is proposed,that is nominal variables are set,and software or algorithm of continuous variables could be called for mathematical model.The variables transformation program is written according to their relationship with real variables.Then,the nominal variables are put into the objective function and constraint condition,and the optimal solution is got.The variables of the optimal solution and real variables have the same type,so,it needn’t to be rounded and ensured the accuracy of the optimization.The variable transformation method is applied into optimization design of spur gear transmission,and compared with the existent ordinary optimization methods.The obtained results show that the variable transformation method is simple and feasible and the optimum solution of the variable transformation method is superior to solutions of other algorithm.…”
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An Analytical Approach on Thermally Induced Vibrations of Nonhomogeneous Tapered Plate by Anupam Khanna, Ashish Singhal

“…A mathematical model to control the vibrations of a rectangular plate is constructed with an aim to assist engineers in designing and fabrication of various structures used in the field of science and technology, mostly used in satellite and aeronautical engineering. …”
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Analysis of Elastohydrodynamic Lubrication Characteristic of the Roller Enveloping Hourglass Worm Drive by Taoran Zhang, Lingyu Li

“…To study the elastohydrodynamic lubrication（EHL） characteristic of the roller enveloping hourglass worm drive， the line contact isothermal mathematical model is established based on the research of meshing theory of the roller enveloping hourglass worm drive and the theory of EHL. …”
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DISCRETE VARIABLE OPTIMUM DESIGN FOR THE PRESSURE VESSEL BASED ON IMPROVED FIREFLY ALGORITHM by CHEN DingLiang, ZHUO HongMing, CHEN QianQing

“…In order to optimize the design of the pressure vessel,an optimization mathematical model was established. It takes the minimum quality of the pressure vessel shell as its optimization object,the inner diameter and wall thickness as its discrete design variables. …”
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DATABASES DESIGNED WITH PHP AND MYSQL REGARDING THE OPTIMIZATION OF THE AUTOMATION INSTALLATION IN WATER TREATMENT PLANTS by COSTACHE (BIRA) Lenuta

“…At the same time, the use of a database are directions for the development of new technologies, using as a tool the mathematical model and the optimization-solution algorithms. …”
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Optimal Control for a Parallel Hybrid Hydraulic Excavator Using Particle Swarm Optimization by Dong-yun Wang, Chen Guan

“…Optimal control using particle swarm optimization (PSO) is put forward in a parallel hybrid hydraulic excavator (PHHE). A power-train mathematical model of PHHE is illustrated along with the analysis of components’ parameters. …”
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Research of the Trajectory Planning Method of Multi- bar Mechanism Driven by Electronic Cam by Peng Jingyang, Wang Wenge

“…The curve planning method of the electronic cam is discussed. The mathematical model of the cam movement is established by the NURBS curve method,and the smooth cam motion curve is obtained. …”
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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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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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Parameter Optimization of Traffic Cone Recycling Manipulator by Li Yushan, Liu yang, Lü Antao

“…Considering reducing occupation space,main arm rotation angle and peak horizontal acceleration as the optimization targets,the mathematical model is established. By using MATLAB,the main arm rotation angle,main arm,deputy arm horizontal angle and gear transmission ratio are optimized. …”
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Meshing Performance Analysis of the Cosine Roller Enveloping Hourglass Worm Drive by Xing Xincheng, Wen Yujie, Liu Zaixin, Sun Pengze

“…According to the principle of the meshing theory, the mathematical model of the worm pair is established, the meshing performance formula of the worm pair is derived, the meshing performance of the cosine roller worm pair and the tapered roller worm pair is compared by the Matlab software, the influence of the radius of the small end of the roller and the throat diameter coefficient on the meshing performance of the worm pair is analyzed, and the subsequent optimization design of the worm pair is provided as reference. …”
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Research of the Kinematics of Rod-gear Type Pulse CVT based on Matlab by Chen Suifan, Dong Zhifeng

“…Based on the analysis of transmission mechanism of rod-gear type Pulse Continuously Variable Transmission（ P-CVT）,the closed vector equations of equivalent plane six-bar mechanism are built. The kinematic mathematical model of angular displacement,angular velocity and angular acceleration of connecting rod,rocker and meshing point to input shaft axis of single phase transmission mechanism is constructed by the matrix method. …”
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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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Optimum Design of Load Capacity of Cycloidal Pin Wheel by Leilei Xu, Jianxin Su

“…In order to optimize its load capacity， an optimization mathematical model with the minimum contact stress and the maximum meshing stiffness is constructed by taking the pin tooth distribution circle radius， short amplitude coefficient， pin diameter coefficient and cycloidal wheel width as design variables. …”
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Tooth Number Design of Multi-stage Parallel Shaft Gear Reducer based on Accurate Transmission Ratio by Lixuan Zhou, Hexiang Yuan, shoubang Zheng, Dengfeng Luo, Yongqin Qiao

“…With the design objective of accurately ensuring the total transmission ratio of the multi-stage parallel shaft gear reducer， the mathematical relations among the gear parameters are studied under the conditions of given center distance and total transmission ratio. The mathematical model of gear tooth number selection of multi-stage reducer is established. …”
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Measurement of the Pitch Deviation and Tooth Ring run-out of Bevel Gear based on Laser Displacement Sensor by Qiu Lin, Song Aiping, Shen Yuhan, Peng Yun

“…The composition and measurement principle of the measuring device are introduced,through the coordinate transformation of sampled data,the mathematical model of bevel gear tooth profile is obtained. …”
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A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative by Badr Saad T. Alkahtani

“…The SARS-CoV-2 fractional mathematical model is analyzed for series-type solution by Laplace–Adomian decomposition techniques (LADM) and homotopy perturbation method (HPM). …”
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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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Modeling Residence Time Distribution (RTD) Behavior in a Packed-Bed Electrochemical Reactor (PBER) by Sananth H. Menon, G. Madhu, Jojo Mathew

“…Finally, a suitable mathematical model (Modified Dispersed Plug Flow Model (MDPFM)) was developed for validating these results under electrolyzing conditions.…”
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EFFECTS OF RAREFIED GAS FLOW ON VELOCITY BOUNDARY AND TEMPERATURE CHARACTERISTICS OF AEROSTATIC GUIDE WAY by LONG Wei, GONG Ling, YANG ShaoHua

“…Based on the study of a mathematical model and simulation analysis,with the increase of Kn,the degree of velocity slip increases. …”
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