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.

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.

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.

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.

Research on Finite Element Simulation and Experiment of Temperature Field for Surface Cutting of Nanostructured WC/12Co Coatings

2012 ◽  
Vol 522 ◽  
pp. 167-172 ◽  
Author(s):  
Zhao Hui Deng ◽  
Qiao Ping Wu ◽  
Lin Lin Wan ◽  
Zhan Pan ◽  
Gao Feng Zhang
Keyword(s):  
Finite Element ◽  
Temperature Field ◽  
Finite Element Simulation ◽  
Cutting Temperature ◽  
Element Model ◽  
Thermal Source ◽  
Element Simulation ◽  
Simulation And Experiment ◽  
Machining Properties ◽  
The Mathematical Model

To investigate the distribution of cutting temperature for surface cutting of nanastructured WC/12Co coating used the PDC cutter, according to machining properties of WC/12Co coating and working conditions, on the basis of the theory of thermal equilibrium of moving thermal source, the mathematical model of temperature field was established through reasonable hypothesis. Simulations were performed for the temperature distribution on the surface and inside the WC/12Co coating specimen using finite element method. And experiment of surface temperature of WC/12Co coating used the PDC cutter was carried out. The finite element simulation results were in good agreement with the experiment data, which verified the validation and capability of the finite element model.

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