Design of the Conjugate Cam Induction Hardening Mechanism and Establishment of the Motion Controlling Mathematical Model

2012 ◽  
Vol 155-156 ◽  
pp. 726-730
Author(s):  
Zhong Hua Li ◽  
Qian Tang ◽  
Di Yan ◽  
Jie Wu
Keyword(s):  
Mathematical Model ◽  
Induction Hardening ◽  
Uniform Motion ◽  
Hardening Mechanism ◽  
Kinematic Relationship ◽  
Nc Machine ◽  
The Common ◽  
Relationship Of ◽  
The Mathematical Model ◽  
Basic Motion

The common methods of cam induction hardening are discussed at present. By analyzing the basic motion law of conjugate cam, a new induction hardening mechanism is designed. The motion controlling mathematical model is built on the basis of the kinematic relationship of the transmission of the induction hardening mechanism. Through the mathematical model calculation, we can get angular velocity of the workbench, then realize that single axis on NC machine controls the inductor to make isometric uniform motion relative to the cam surface, so that the cam hardening depth distribution is uniform.

Automatic Parameter Identification Applied to a Railroad Car Dynamic Draft Gear Model

1974 ◽  
Vol 96 (4) ◽  
pp. 460-465 ◽  
Author(s):  
E. D. Ward ◽  
R. G. Leonard
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Parameter Identification ◽  
Functional Relationship ◽  
Nonlinear Functional ◽  
Draft Gear ◽  
Identification Technique ◽  
Train Dynamics ◽  
Relationship Of ◽  
The Mathematical Model

One of the most important components in simulating track-train dynamics is the mathematical model of the connection between two cars, the draft gear-coupler combination. In this paper an automatic parameter identification technique is presented which can be used to generate a nonlinear functional relationship of dynamic draft gear characteristics using experimental data.

Study on High Frequency Hydraulic Exciter Based on Rotary Valve Control

2012 ◽  
Vol 490-495 ◽  
pp. 1441-1445 ◽  
Author(s):  
Jian Zhuo Zhang ◽  
Li Zhe Guan ◽  
Kang Kang Li
Keyword(s):  
Mathematical Model ◽  
High Frequency ◽  
Rotary Valve ◽  
Exciting Frequency ◽  
Working Principle ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Valve Control

A kind of hydraulic exciter based on rotary valve control was studied in this paper, the composition of the exciter and its working principle were introduced, and the mathematical model of the system was established. The characters of the system were simulated using MATLAB. From the results of the simulation, we get the relationship of the amplitude of Vibration oil cylinder between the system’s pressure and the exciting frequency. The results can provide theoretical bases to design the hydraulic exciter.

Shaping Law and Motion Design in NC-ECM under Effect of Twiste Angle

2011 ◽  
Vol 128-129 ◽  
pp. 1010-1014
Author(s):  
Rui Wu ◽  
Dan Wen Zhang ◽  
Juan Sun
Keyword(s):  
Mathematical Model ◽  
Electrochemical Machining ◽  
Experimental Results ◽  
Working Face ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Motion Design

The twiste angle has a great effect on shaping law and stability of Numerical Controlled Electrochemical Machining (NC-ECM) process. In order to avoid the disadvantages caused by twiste angle, a methode of study shaping law by dispersing cathode working face in NC-ECM was proposed, and a mathematical model of the shaping law with the effects of twiste angle has been established in this paper. The mathematical model disclosed the relationship of twiste angle β, feeding velocity vf and thickness of removal material h in NC-ECM. Theoretical and experimental results show the the mathematical model of shaping law described in this paper can be considered as a useful reference and is helpful for the analysis of the NC-ECM and general ECM process.

scholarly journals Meshing principle analysis of 3-DOF involute spherical gear

2020 ◽  
Vol 213 ◽  
pp. 02029
Author(s):  
Baichao Wang ◽  
Xue Zhang ◽  
Litong Zhang ◽  
Xianting Lu
Keyword(s):  
Mathematical Model ◽  
Tooth Profile ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Gear Pair ◽  
Tooth Surfaces ◽  
Three Degree Of Freedom ◽  
Relationship Of ◽  
The Mathematical Model ◽  
Spherical Gear

In this paper, a mathematical model of meshing motion of three degree of freedom involute spherical gear pair is constructed. The mathematical model can realize continuous meshing transmission between gear pairs without transmission principle error. Based on the meshing principle and motion analysis of the gear, the tooth profile of the spherical gear is designed by combining the two tooth surfaces of the involute ring gear and the hemispherical bevel gear. According to the conjugate motion relationship of spherical gear pair, a mathematical model of arc tooth surface of hemispherical bevel gear is established, and the mathematical description of the tooth profile of spherical gear is completed by combining the equation of ring tooth surface. It provides the basis and Reference for the meshing design of ball gear.

Investigation on Silicon-Glass Electrostatic Bonding Time Experiment

2011 ◽  
Vol 483 ◽  
pp. 78-82
Author(s):  
Xiao Wei Liu ◽  
Jia Lu Tang ◽  
Rong Yan Chuai ◽  
Hai Feng Zhang ◽  
Xi Lian Wang
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Thermal Expansion ◽  
Coefficient Of Thermal Expansion ◽  
Bonding Process ◽  
Bonding Time ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Electrostatic Bonding

In this paper, we make a detail analysis of some factors, which affects the electrostatic bonding process. According to the electrical properties of glass, combined with the principle of electrostatic bonding, we analysed the relationship of critical bonding time, voltage and temperature as well as the factors which affect electrostatic bonding. Then we come up with the mathematical model of the intensity and temperature of electrostatic bonding. In accordance with the above-mentioned formula and the experimental data, we can get the following conclusions: the intensity of electrostatic bonding is much greater between 280°C to 370°C; the best temperature for this bonding is about 350°C; however, when the temperature is below 280°C,the intensity of electrostatic bonding is lower due to the great impact of particles under low temperature; but when the temperature is higher than 370°C,the mismatch of coefficient of thermal expansion of silicon and glass gets larger, then as a result, the intensity of this bonding has a significant decrease with the increasing of temperature.

Effect of cutting width on the optimum size of bars and boards when cutting sawlogs with sawing three bars of equal thickness and four pairs of side boards

10.12737/4517 ◽  
2014 ◽  
Vol 4 (2) ◽  
pp. 128-135 ◽  
Author(s):  
Агапов ◽  
Aleksandr Agapov
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Optimality Criterion ◽  
Constraint Equations ◽  
First Pass ◽  
Method Of Lagrange Multipliers ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Equal Thickness

There is a task of cutting optimization of sawlogs considering the width of cut. Output of sawn timber produced after the first pass of cutting sawlogs is chosen as optimality criterion. The objective function is represented as the sum of the cross-section of bars and planks. Such a mathematical model of the objective function establishes a relationship between size of bars and planks. Constraint equations represent the relationship of sawlogs diameter with the size of bars and boards, as well as the width of the cut. To solve the mathematical model the method of Lagrange multipliers is used.

Mathematical Model and Simulation of Regrind Chisel Edge for Helical Micro-Drill

2006 ◽  
Vol 304-305 ◽  
pp. 550-554 ◽  
Author(s):  
W.J. Xiang ◽  
Zhi Xiong Zhou ◽  
S.J. Hu ◽  
J. Yang ◽  
J.P. Liang
Keyword(s):  
Mathematical Model ◽  
Geometric Model ◽  
Drilling Performance ◽  
Model And Simulation ◽  
Kinematic Relationship ◽  
Micro Drilling ◽  
Novel Method ◽  
Relationship Of ◽  
Micro Drill ◽  
Easy Operation

Micro-drills are becoming more and more important in precision and micro fabrications. They have been widely used in applications, e.g., precision and micro drilling. In this paper, a novel method is advanced and used for regrinding of chisel edges of helical micro-drills. In this method, a geometric model is established for the chisel edge regrinding. Based on the kinematic relationship of regrinding, the model simplifies machine movement so as to facilitate an easy operation. Computer simulation is applied to the regrinding process of the micro-drills. The results demonstrate that the proposed method is effective in regrinding chisel edges, which allows for a more reasonable distribution of the angles along the chisel edge of a drill, and enhances the drilling performance.

Study of the Model and Algorithm in Linear Programming of Maintainability Growth Project

2012 ◽  
Vol 271-272 ◽  
pp. 1427-1433
Author(s):  
Hui Liu ◽  
Jian Ping Hao
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
General Solution ◽  
Simplex Method ◽  
Solution Method ◽  
Project Planning ◽  
Planning Problem ◽  
Project Study ◽  
Relationship Of ◽  
The Mathematical Model

In order to solve the planning problem of maintainability growth project, study of the model and algorithm in linear programming of maintainability growth project is put forward. Firstly, the linear relationship of factor and target as an example, the mathematical model of maintainability growth project planning is put forward in the article, and a general solution method is mentioned. Then according to the maintainability growth problem’s characteristic, the algorithm is improved. A solution method is brought out which is about simplex method with variable changed form 0 to 1- γi. This Algorithm makes the solution of maintainability growth project planning become much simpler than before.

scholarly journals Кореляційні зв’язки між господарсько цінними та морфологічними ознаками рижію ярого

2013 ◽  
pp. 37-41
Author(s):  
І. Б. Комарова
Keyword(s):  
Mathematical Model ◽  
Plant Height ◽  
Morphological Characteristics ◽  
Morphological Characters ◽  
Oil Yield ◽  
Morphological Parameters ◽  
False Flax ◽  
Relationship Of ◽  
The Mathematical Model ◽  
Number Of Branches

Встановлено суттєві кореляційні взаємозалежності між морфологічними ознаками рижію ярого – кількістю гілок і стручків на рослині, висотою рослини і штамбу та зв’язок господарсько цінних показників (урожайності, виходу олії, маси насіння з однієї рослини й маси 1000 насінин) зі ступенем прояву морфологічних параметрів. Урожайність і вихід олії позитивно корелюють із кількістю стручків і висотою рослини. Маса насіння з однієї рослини, що є складовою врожайності, істотно позитивно корелює із загальною кількістю стручків та гілок і негативно – з висотою штамбу. Одержано математичні моделі залежності господарсько цінних показників від морфологічних ознак. The significant correlation between the morphological characteristics of spring false flax – number of branches and pods per plant, plant height and trunk and relationship of economically valuable indicators (yield, oil yield, weight of seeds per plant and weight of 1000 seeds) with the degree of manifestation of morphological parameters were founded. Yield and oil yield were positively correlated with the number of pods and plant height. Weight of seeds per plant, which is a component of yields, significantly positively correlates with the total number of pods and branches and negatively – with height of trunk. The mathematical model on economically valuable indicators of morphological characters was received.

Using a planar rack cutter with variable modulus to generate a spherical gear pair

2020 ◽  
Vol 44 (1) ◽  
pp. 108-120
Author(s):  
Hsueh-Cheng Yang ◽  
Chih-Yao Sun
Keyword(s):  
Mathematical Model ◽  
Degree Of Freedom ◽  
Gear Pair ◽  
Tooth Contact Analysis ◽  
The Family ◽  
Variable Modulus ◽  
Double Degree ◽  
Relationship Of ◽  
The Mathematical Model ◽  
Spherical Gear

In this study, an imaginary planar rack cutter with variable modulus and discrete conical teeth was used to generate a spherical gear pair with double degree of freedom. First, a geometric method was used to design the mathematical model of the imaginary planar rack cutter with variable modulus and discrete conical teeth. Next, the relationship of coordinate systems between the generating and generated surfaces was established. Then, the family of the imaginary planar rack cutter surfaces was obtained by homogeneous coordinate transformation matrix. Further, two equations of meshing between the generating and generated surfaces were determined by the two-parameter envelope theory. The mathematical model of spherical gear pair with variable modulus and discrete ring-involute teeth can be created by using the two equations of meshing and the family of the imaginary planar rack cutter surfaces. The mathematical models of the spherical gear pair with double degree of freedom and tooth contact analysis method were used to investigate the assembly errors of the gear pair in four cases.

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