Experimental Research on the Mathematical Model of Abrasion Ratio Based on the Abrasive Belt Grinding

2013 ◽  
Vol 328 ◽  
pp. 480-485
Author(s):  
G.J. Xiao ◽  
Y. Huang ◽  
R.K. Cheng ◽  
Y. Lu
Keyword(s):  
Mathematical Model ◽  
Experimental Research ◽  
Material Removal ◽  
Experimental Result ◽  
Belt Grinding ◽  
Abrasive Belt ◽  
Belt Speed ◽  
Hardness Ratio ◽  
The Mathematical Model ◽  
The Relationship

Abrasion ratio is an important parameter to estimate the wear resistance of abrasive belt grinding, reacting the relationship between the material removal and the abrasive belt wear, and also, its value is an important basis to instruct the process of abrasive belt grinding. The mathematical model of material removal is obtained by analyzing the basic mechanism theory of centerless cylindrical grinding in this paper, and the impact curve which react the relationship between the abrasion ration and the material removal or cutting depth is obtained by using the software of Mathematica. The abrasion ratio is testified in this paper by the experiment test of abrasive belt grinding for the titanium alloy, 45# steel and 304# stainless steel, systematic analyzing the affection of abrasion ratio on the hardness ratio and the belt speed. Experimental result shows that: belt speed is superior than hardness ratio to the abrasion ratio, and the mathematical model of material removal is testified by this experimental research. So the mathematical model of material removal could be used with theoretical basis in belt grinding process.

The Influence of the Grinding Force to the Material Removal Rate in the Heavy Load Honing

2011 ◽  
Vol 63-64 ◽  
pp. 719-722
Author(s):  
Jian Ye Guo ◽  
Chao Yu ◽  
Guang Qi Cai
Keyword(s):  
Mathematical Model ◽  
Material Removal Rate ◽  
Material Removal ◽  
Removal Rate ◽  
Grinding Force ◽  
Processing Technology ◽  
Heavy Load ◽  
Theoretical Significance ◽  
The Mathematical Model ◽  
The Relationship

This paper took the grinding force in the heavy load honing as the object to research, it mainly analyzed the influence of the grinding force to the material removal rate. First the mathematical model of grinding force was established from starting with the honing pressure. Then the mathematical model of material removal rate was established according to the relationship between material removal volume and honing pressure. Finally the influence of the honing pressure to the material removal rate was analyzed with the aid of software. The results of this paper have important theoretical significance to optimize the processing technology of heavy load honing and further enhance the machining precision and the honing efficiency.

Experiment Research on ZrO2 Engineering Ceramics with Abrasive Belt Grinding

2014 ◽  
Vol 1017 ◽  
pp. 92-97 ◽  
Author(s):  
Die Zhang ◽  
Yun Huang ◽  
Xian Yin ◽  
Li Qi Zhou ◽  
Yu Hang Yang ◽  
...  
Keyword(s):  
Surface Roughness ◽  
Material Removal ◽  
Removal Rate ◽  
Grinding Force ◽  
Belt Grinding ◽  
Workpiece Surface ◽  
Engineering Ceramics ◽  
Abrasive Belt ◽  
Belt Speed ◽  
Cutting Model

Abrasive belt grinding experiments of ZrO2Engineering Ceramics are carried out by using 4 different abrasive belts. The orthogonal test with zirconia-corundum belt was to get the best grinding parameter, the amount of material removal workpiece surface roughness and belt wear were measured to get the best grinding parameter.In this paper,the influence of abrasive belt granularity and different grinding parameters to grinding efficiency and workpiece surface quality throughout the process of grinding ZrO2Engineering Ceramics was analyzed. Analysis wear mechanism of engineering ceramics based on the Abrasive cutting model by observing the surface morphology. The results show that increasing the grinding force or the abrasive belt granularity can decrease the workpiece surface roughness;With the abrasive belt speed or grinding force increasing,the material removal rate and the wear ratio to some extent, but brittle fracture is occued easily on its surface when exceeds the critical value; When the abrasive belt speed is 19m/s,the grinding force is 15N and the abrasive belt granularity is 120#, ZrO2Engineering Ceramics grinding effects reach the best.

Temperature Influence on Performance of Oxidation Ponds

1991 ◽  
Vol 24 (5) ◽  
pp. 85-96 ◽  
Author(s):  
Qingliang Zhao ◽  
Zijie Zhang
Keyword(s):  
Mathematical Model ◽  
Temperature Influence ◽  
Field Scale ◽  
Experiment Data ◽  
Computer Technique ◽  
Oxidation Pond ◽  
Optimum Model ◽  
Oxidation Ponds ◽  
The Mathematical Model ◽  
The Relationship

By means of simulated tests of a laboratory–scale oxidation pond model, the relationship between BOD5 and temperature fluctuation was researched. Mathematical modelling for the pond's performance and K1determination were systematically described. The calculation of T–K1–CeCe/Ci) was complex but the problem was solved by utilizing computer technique in the paper, and the mathematical model which could best simulate experiment data was developed. On the basis of experiment results,the concept of plug–ratio–coefficient is also presented. Finally the optimum model recommended here was verified with the field–scale pond data.

Process Analysis and Experimental Research of Robot Abrasive Belt Grinding for Blisk*

2021 ◽  
Author(s):  
Guijian Xiao ◽  
Kangkang Song ◽  
Shulin Chen ◽  
Rentao Wen ◽  
Xiao Zou
Keyword(s):  
Experimental Research ◽  
Process Analysis ◽  
Belt Grinding ◽  
Abrasive Belt

scholarly journals METHODS OF FORMULATING AND SOLVING OPTIMIZATION PROBLEMS OF CUTTING LOGS OF LARGE SIZE BY BAR-SAWING METHOD WITH CUTTING OUT ONE BAR AND FIVE PAIRS OF SIDE EDGING BOARDS WITH SUBSEQUENT SAWING LUMBER FOR EDGED BOARDS

2017 ◽  
Vol 7 (1) ◽  
pp. 137-150
Author(s):  
Агапов ◽  
Aleksandr Agapov
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Target Function ◽  
Cross Sectional ◽  
Optimization Task ◽  
Cutting Out ◽  
The Mathematical Model ◽  
The Relationship

For the first time the mathematical model of task optimization for this scheme of cutting logs, including the objective function and six equations of connection. The article discusses Pythagorean area of the logs. Therefore, the target function is represented as the sum of the cross-sectional areas of edging boards. Equation of the relationship represents the relationship of the diameter of the logs in the vertex end with the size of the resulting edging boards. This relationship is described through the use of the Pythagorean Theorem. Such a representation of the mathematical model of optimization task is considered a classic one. However, the solution of this mathematical model by the classic method is proved to be problematic. For the solution of the mathematical model we used the method of Lagrange multipliers. Solution algorithm to determine the optimal dimensions of the beams and side edging boards taking into account the width of cut is suggested. Using a numerical method, optimal dimensions of the beams and planks are determined, in which the objective function takes the maximum value. It turned out that with the increase of the width of the cut, thickness of the beam increases and the dimensions of the side edging boards reduce. Dimensions of the extreme side planks to increase the width of cut is reduced to a greater extent than the side boards, which are located closer to the center of the log. The algorithm for solving the optimization problem is recommended to use for calculation and preparation of sawing schedule in the design and operation of sawmill lines for timber production. When using the proposed algorithm for solving the optimization problem the output of lumber can be increased to 3-5 %.

Walking Stability Analysis of Multi-Legged Crablike Robot over Slope

2013 ◽  
Vol 572 ◽  
pp. 636-639
Author(s):  
Xi Chen ◽  
Gang Wang
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Stability Criterion ◽  
Stability Margin ◽  
Static Stability ◽  
Matlab Simulation ◽  
And Performance ◽  
The Stability ◽  
The Mathematical Model ◽  
The Relationship

This paper deals with the walking stability analysis of a multi-legged crablike robot over slope using normalized energy stability margin (NESM) method in order to develop a common stabilization description method and achieve robust locomotion for the robot over rough terrains. The robot is simplified with its static stability being described by NESM. The mathematical model of static stability margin is built so as to carry out the simulation of walking stability over slope for the crablike robot that walks in double tetrapod gait. As a consequence, the relationship between stability margin and the height of the robots centroid, as well as its inclination relative to the ground is calculated by the stability criterion. The success and performance of the stability criterion proposed is verified through MATLAB simulation and real-world experiments using multi-legged crablike robot.

Experiment and Surface Roughness Prediction Model for Ti-6Al-4V in Abrasive Belt Grinding

2016 ◽  
Vol 1136 ◽  
pp. 42-47 ◽  
Author(s):  
Ya Xiong Chen ◽  
Yun Huang ◽  
Gui Jian Xiao ◽  
Gui Lin Chen ◽  
Zhi Wu Liu ◽  
...  
Keyword(s):  
Surface Roughness ◽  
Response Surface Methodology ◽  
Response Surface ◽  
Great Influence ◽  
Grinding Force ◽  
Work Piece ◽  
Belt Grinding ◽  
Abrasive Belt ◽  
Belt Speed ◽  
Feeding Speed

In abrasive belt grinding, abrasive belt granularity, abrasive belt speed,feeding speed and grinding force have a great influence on the surface roughness. In order to predicate the surface roughness of Ti-6Al-4V,a response surface methodology are used to build the model to predict surface roughness,and the influence of various parameters on surface roughness was analysed. The research shows that with the abrasive belt granularity and abrasive belt speed increasing,the work piece surface roughness decreases;with the grinding force and feeding speed increasing,the work piece surface roughness increases. Through the test,the response surface methodology with high prediction accuracy,provides a theoretical basis for the reasonable selection of abrasive belt grinding parameters.

Design and Implementation of Digital Asthma Diagnosis System

2019 ◽  
Vol 14 (3) ◽  
pp. 1-15
Author(s):  
Qinghua Yao ◽  
Xiantao Yang
Keyword(s):  
Mathematical Model ◽  
Mutation Rate ◽  
Forced Expiratory Volume ◽  
Digital Signals ◽  
Respiratory Parameters ◽  
The Mathematical Model ◽  
The Relationship ◽  
Objective Indicators ◽  
Signal Conditioning Circuit

In this article, the MSP430F149 is the microcontroller (MCU), and a pressure sensor, MPX5100AP, is used to measure body measurement of maximal forced expiratory volume (FEV) and peak expiratory flow rate (PEFR). The two analog signals are processed by the signal conditioning circuit, and then the corresponding digital signals are acquired by the MCU. With the related operations of multiple respiratory parameters, a built-up time of respiration signal mutation rate values and the determination of the mutation rate, a mathematical model is built among FEV, PEFR and the rate of variation. The mathematical model of the system is analyzed, and the relationship between the detection results and the degree of airway obstruction is established. Finally, the patient's condition analysis results are given directly on the LCD, which provided the objective indicators for the medical treatment of the disease.

scholarly journals Modeling and Optimization of Bidirectional Clamping Forces in Drilling of Stacked Aluminum Alloy Plates

Materials ◽  
2020 ◽  
Vol 13 (12) ◽  
pp. 2866
Author(s):  
Jintong Liu ◽  
Anan Zhao ◽  
Piao Wan ◽  
Huiyue Dong ◽  
Yunbo Bi
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Aluminum Alloy ◽  
Clamping Force ◽  
Practical Application ◽  
Element Simulation ◽  
Theory Of Plates ◽  
Plates And Shells ◽  
The Mathematical Model ◽  
The Relationship

Interlayer burrs formation during drilling of stacked plates is a common problem in the field of aircraft assembly. Burrs elimination requires extra deburring operations which is time-consuming and costly. An effective way to inhibit interlayer burrs is to reduce the interlayer gap by preloading clamping force. In this paper, based on the theory of plates and shells, a mathematical model of interlayer gap with bidirectional clamping forces was established. The relationship between the upper and lower clamping forces was investigated when the interlayer gap reaches zero. The optimization of the bidirectional clamping forces was performed to reduce the degree and non-uniformity of the deflections of the stacked plates. Then, the finite element simulation was conducted to verify the mathematical model. Finally, drilling experiments were carried out on 2024-T3 aluminum alloy stacked plates based on the dual-machine-based automatic drilling and riveting system. The experimental results show that the optimized bidirectional clamping forces can significantly reduce the burr heights. The work in this paper enables us to understand the effect of bidirectional clamping forces on the interlayer gap and paves the way for the practical application.

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