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.

The Mathematical Model of Simulative Calculation for the Process of Airbag Landing

2014 ◽  
Vol 635-637 ◽  
pp. 228-232
Author(s):  
Jian He ◽  
Ji Sheng Ma ◽  
Da Lin Wu
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Finite Element Simulation ◽  
Calculation Method ◽  
Low Cost ◽  
Analytical Analysis ◽  
Heavy Equipment ◽  
Element Simulation ◽  
The Mathematical Model

Airbag is widely used in heavy equipment dropped field with its efficient cushion performance and low cost. The calculation method used now for the process of airbag landing mainly is simulative calculation: analytical analysis and finite element simulation, but there are less systematic introduction for the mathematical model behind these methods in past papers. This paper mainly does the summary for the mathematical model of vented airbag which is usually used.

A New Method to Quickly Optimize the Thickness of Multi-Holes Plate

2014 ◽  
Vol 915-916 ◽  
pp. 205-208
Author(s):  
Sheng Bin Wu ◽  
Xiao Bao Liu
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Design Method ◽  
New Method ◽  
The Finite Element Method ◽  
Design Error ◽  
Theory Of Plates ◽  
Plates And Shells ◽  
Element Method

The theory of plates and shells is not adapted to design thickness for the multi-holes plates in engineering. A new method to quickly optimize the thickness based on the finite element method theory was put forward. The method combined the theory of plate with the finite element method to establish a mathematical model and analyzed the influences of load, constraint and complexity on design error. The practices demonstrated that the proposed design method is effective and feasible.

Prefabricated Hole Mathematical Model of Flange-Forming of Tee Pipe with Square Branch

2013 ◽  
Vol 395-396 ◽  
pp. 1154-1157
Author(s):  
Zhong Lei Wang ◽  
Zhao Dong Li ◽  
Gang Cheng ◽  
Xin Kai Zhang
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Numerical Method ◽  
Deformation Zone ◽  
Difficult Problem ◽  
Hole Size ◽  
Element Simulation ◽  
Flange Forming ◽  
The Mathematical Model ◽  
Square Hole

Based on the principle that in the deformation zone the length of bore plain wire does not change, a mathematical model of the prefabricated hole for flange-forming of square hole tee pipe is established, for the difficult problem of the flange-forming prefabricated hole size design for square hole tee pipe. To solve the mathematical model, a numerical method and a software system for the mathematical model is established. In order to verify the reliability of the mathematical model and its solution, the method of finite element simulation is applied to verify the mathematical model and the solving system. The results show that the mathematical model constructed in this paper can relatively accurately make calculation of prefabricated hole size for flange-forming of square hole tee pipe.

Mathematical Model Establishment of Prefabricated Hole Flange-Forming of Equal Diameter Tee Pipe

2012 ◽  
Vol 588-589 ◽  
pp. 1767-1770
Author(s):  
Wen Sheng Yuan ◽  
Zhong Lei Wang ◽  
Zhao Dong Li ◽  
Gang Cheng
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Finite Element Simulation ◽  
Deformation Zone ◽  
Difficult Problem ◽  
Software System ◽  
Hole Size ◽  
Element Simulation ◽  
Flange Forming ◽  
The Mathematical Model

For the difficult problem of the flange-forming prefabricated hole size design for tee pipe, based on the principle that in the deformation zone the length of bore plain wire does not change, make the establishment of a mathematical model of the prefabricated hole flange-forming of tee pipe, and by value solving methods to solve the mathematical model, establish a software system for prefabricated hole flange-forming of equal diameter tee pipe. In order to verify the reliability of this article to build the mathematical model and its solution, taking engineering for example, apply the method of finite element simulation to verify the mathematical model and the solving system, and the results show that the mathematical model constructed in this paper can relatively accurately make calculation of prefabricated hole size of flange-forming of equal diameter tee pipe.

Mathematical Model Establishment of Prefabricated Hole Flange-Forming of Unequal Diameter Tee Pipe

2013 ◽  
Vol 364 ◽  
pp. 500-503
Author(s):  
Zhong Lei Wang ◽  
Zhao Dong Li ◽  
Xin Kai Zhang
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Numerical Method ◽  
Finite Element Simulation ◽  
Deformation Zone ◽  
Difficult Problem ◽  
Hole Size ◽  
Element Simulation ◽  
Flange Forming ◽  
The Mathematical Model

Based on the principle that in the deformation zone the length of bore plain wire does not change, a mathematical model of the prefabricated hole flange-forming of unequal diameter tee pipe is established, for the difficult problem of the flange-forming prefabricated hole size design for tee pipe. To solve the mathematical model, a numerical method and a software system for The solution of the mathematical model is established. In order to verify the reliability of this article to build the mathematical model and its solution, taking engineering for example, apply the method of finite element simulation to verify the mathematical model and the solving system, and the results show that the mathematical model constructed in this paper can relatively accurately make calculation of prefabricated hole size of flange-forming of unequal diameter tee pipe.

scholarly journals Mathematical Model and Verification of Residual Stress Induced by Water Jet Peening

Metals ◽  
2019 ◽  
Vol 9 (9) ◽  
pp. 936 ◽  
Author(s):  
He ◽  
Li ◽  
Zhao ◽  
Cui ◽  
Li ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Residual Stress ◽  
Finite Element ◽  
Fatigue Life ◽  
Finite Element Simulation ◽  
Compressive Residual Stress ◽  
Water Jet ◽  
Depth Direction ◽  
Element Simulation ◽  
The Mathematical Model

Abstract: The water jet peening (WJP) technology can induce compressive residual stress (RS) in metal surfaces and, thus, improve the fatigue life of components. In this paper, a mathematical model is proposed for calculating the RS induced by WJP. To validate the proposed mathematical model, experimental and finite element simulation verifications were carried out on Al6061-T6. The distribution of RS along the depth direction, the maximum compressive RS, and the depth of the compressive RS layer were also investigated based on the mathematical model. Results showed that the error of maximum compressive RS between the mathematical model and experiment was within 9% under a jet pressure of 60 MPa, and the error of depth of the compressive RS layer between the mathematical model and experiment was within 13% under a jet diameter of 0.3 mm. Hence, the mathematical model is reliable and accurate. The maximum compressive RS increases with the increase in jet pressure, and the depth of the compressive RS layer approximately linearly increases with the increase in jet diameter.

Formation mechanism and prediction of plane shape in angular rolling of aluminum alloy thick plate

2018 ◽  
Vol 42 (2) ◽  
pp. 81-89
Author(s):  
Pujun Hao ◽  
Anrui He ◽  
Wenquan Sun
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Aluminum Alloy ◽  
Thick Plate ◽  
Element Model ◽  
Rolling Process ◽  
Longitudinal Rolling ◽  
First Pass ◽  
Plane Shape ◽  
The Mathematical Model

A finite element model (FEM) was developed to study the plane shape of an aluminum alloy thick plate after angular rolling. Results show that the plane shape is a parallelogram after the first pass of angular rolling. When the angular rolling process is completed after a second pass, the plane shape becomes symmetric about the center lines in both length and width directions. The width increases more at the edge that enters the deformation zone earlier. Next, a mathematical model to predict plane shape after angular rolling was proposed based on a sectional calculation method. By simulating the longitudinal rolling process, spreads from different plate widths were obtained and used in the mathematical model. By comparing these results with results from the FEM, the accuracy of the mathematical model was verified. Because of its short calculation time, the mathematical model can be used in practice during the production process.

Correlative Study of the Fabric Properties and the Shrinkage of Gather

2013 ◽  
Vol 750-752 ◽  
pp. 2137-2140
Author(s):  
Zhe Li
Keyword(s):  
Mathematical Model ◽  
Surface Density ◽  
Flexural Rigidity ◽  
Practical Application ◽  
Statistical Software ◽  
Correlative Study ◽  
Perfect Form ◽  
Mathematical Relation ◽  
The Mathematical Model ◽  
The Relationship

Gather is one form of pleat, and it is a typical form in decoration of apparel. Gather has certain shrinkage degree and shrinkage is relevant with the fabric property. In order to design perfect form of gather, the relationship between all fabric properties (thickness, drape coefficient, surface density, flexural rigidity, and density) and shrinkage should be worked out. In this paper, the fabric properties and shrinkage were obtained via experiments. And then, the data was analyzed by SPSS statistical software to get the mathematical relation between the fabric properties and shrinkage. The mathematical model of calculating shrinkage using surface density was deduced and validated through practical application.

Analysis of magnetic force and dynamic characteristic for non-contact permanent magnet linear drive device

2020 ◽  
Vol 64 (1-4) ◽  
pp. 1337-1345
Author(s):  
Chuan Zhao ◽  
Feng Sun ◽  
Junjie Jin ◽  
Mingwei Bo ◽  
Fangchao Xu ◽  
...  
Keyword(s):  
Finite Element ◽  
Permanent Magnet ◽  
Dynamic Characteristic ◽  
Driving Force ◽  
Magnetic Circuit ◽  
Response Speed ◽  
Computation Method ◽  
Element Analysis ◽  
Element Simulation ◽  
The Relationship

This paper proposes a computation method using the equivalent magnetic circuit to analyze the driving force for the non-contact permanent magnet linear drive system. In this device, the magnetic driving force is related to the rotation angle of driving wheels. The relationship is verified by finite element analysis and measuring experiments. The result of finite element simulation is in good agreement with the model established by the equivalent magnetic circuit. Then experiments of displacement control are carried out to test the dynamic characteristic of this system. The controller of the system adopts the combination control of displacement and angle. The results indicate that the system has good performance in steady-state error and response speed, while the maximum overshoot needs to be reduced.

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.

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