scholarly journals Study and Computer-aided Design of Flux-cored Wire Rolling in Round Gauges

2021 ◽  
Author(s):  
Eduard P. Gribkov ◽  
Serhii O. Malyhin ◽  
Svetlana S. Hurkovskaya ◽  
Elena V. Berezshnaya ◽  
Dmytro V. Merezhko
Keyword(s):  
Mathematical Model ◽  
Deformation Zone ◽  
Computer Aided Design ◽  
Plasticity Condition ◽  
Cored Wire ◽  
Power Characteristics ◽  
Sintered Copper ◽  
Powder Density ◽  
Aided Design ◽  
The Mathematical Model

Abstract The mathematical model of the stress-strain state during flux-cored wire rolling in round gauges has been developed. Simulation was based on dividing the deformation zone into elementary volumes and simultaneous solution of the plasticity condition for porous materials and power static equilibrium equation inside the elementary volume. A distinctive feature of this model is taking into account the porous medium strain in the deformation zone. The experiments have confirmed the validity of the mathematical model for predicting the powder density and the energy-power characteristics of the process. Based on the developed mathematical model, the criteria and conditions for optimization were formulated, and the algorithm was developed for the automated design of technology for flux-cored wire rolling in round gauges. As an example of the obtained solutions implementation, the calculation of sintered copper flux-cored wire rolling technology was given.

Computer Aided Design of Elliptical Gears

2002 ◽  
Vol 124 (4) ◽  
pp. 787-793 ◽  
Author(s):  
Biing-Wen Bair
Keyword(s):  
Mathematical Model ◽  
Computer Aided Design ◽  
Complex Geometry ◽  
Rotation Axis ◽  
Major Axis ◽  
Computer Simulation Program ◽  
Geometric Relation ◽  
Pitch Curve ◽  
Aided Design ◽  
The Mathematical Model

An elliptical gear drive, whose rotation axis coincides with its geometric center, is simulated using generation with a rack cutter. The mathematical model of an elliptical gear based on the theory of gearing and gear generation mechanism is also developed. Owing to its complex geometry, the profile of elliptical gears may exhibit tooth undercutting, and pointed teeth. In addition, tooth undercutting of an elliptical gear based on the developed mathematical model of the elliptical gear and the theory of gearing is also investigated. Pointed teeth usually appear on the major axis of the gear elliptical pitch curve. Moreover, a geometric relation is developed and applied to prevent the pointed teeth appearing on elliptical gears. Furthermore, a computer simulation program is developed to generate the tooth profile of elliptical gears without tooth undercutting and pointed teeth. Various numerical examples illustrate the effectiveness of the computerized design process.

Mathematical modelling, study and computer-aided design of flux-cored wire rolling in round gauges

2022 ◽  
Author(s):  
Eduard P. Gribkov ◽  
Serhii O. Malyhin ◽  
Svetlana S. Hurkovskaya ◽  
Elena V. Berezshnaya ◽  
Dmytro V. Merezhko
Keyword(s):  
Mathematical Modelling ◽  
Computer Aided Design ◽  
Cored Wire ◽  
Computer Aided ◽  
Aided Design ◽  
Modelling Study

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 Modeling of a Bioluminescent E. Coli Based Biosensor

2009 ◽  
Vol 14 (4) ◽  
pp. 505-529 ◽  
Author(s):  
A. Rabner ◽  
E. Martinez ◽  
R. Pedhazur ◽  
T. Elad ◽  
S. Belkin ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Dna Repair ◽  
Computer Aided Design ◽  
Sos Response ◽  
Chromosomal Dna ◽  
Whole Cell ◽  
E Coli ◽  
Computer Aided ◽  
Lux Genes ◽  
Aided Design

In this work we present a mathematical model for the bioreporter activity of an E. coli based bioluminescent bioreporter. This bioreporter is based on a genetically modified E. coli which harbors the recA promoter, a member of the bacterial SOS response, fused to the bacterial luminescence (lux) genes. This bioreporter responds to the presence of DNA damaging agents such as heavy metals, H2O2 and Nalidixic Acid (NA) that activate the SOS response. In our mathematical model we implemented basic physiological mechanisms such as: the penetration of the NA into the biosensor; gyrase enzyme inhibition by the NA; gyrase level regulation; creation of chromosomal DNA damage; DNA repair and release of ssDNA into the cytoplasm; SOS induction and chromosomal DNA repair; activation of lux genes by the fused recA promoter carried on a plasmidal DNA; transcription and translation of the luminescence responsible enzymes; luminescence cycle; energy molecules level regulation and the regulation of the O2 consumption. The mathematical model was defined using a set of ordinary differential equations (ODE) and solved numerically. We simulated the system for different concentrations of NA in water for specific biosensors concentration, and under limited O2 conditions. The simulated results were compared to experimental data and satisfactory matching was obtained. This manuscript presents a proof of concept showing that real biosensors can be modeled and simulated. This sets the ground to the next stage of implementing a comprehensive physiological model using experimentally extracted parameters. Following the completion of the next stage, it will be possible to construct a “Computer Aided Design” tool for the simulation of the genetically engineered biosensors. We define a term “bioCAD” for a Biological System Computer Aided Design. The specific bioCAD that is described here is aimed towards whole cell biosensors which are under investigation today for functional sensing. Usage of the bioCAD will improve the biosensors design process and boost their performance. It will also reduce Non Recurring Engineering (NRE) cost and time. Finally, using a parameterized solution will allow fair and quick evaluation of whole cell biosensors for various applications.

scholarly journals Computer-Aided Design Method of Warp-Knitted Jacquard Spacer Fabrics

2016 ◽  
Vol 16 (2) ◽  
pp. 51-56 ◽  
Author(s):  
Xinxin Li ◽  
Gaoming Jiang ◽  
Pibo Ma
Keyword(s):  
Computer Aided Design ◽  
Design Method ◽  
Essential Elements ◽  
Computer Aided ◽  
Spacer Fabrics ◽  
Aided Design ◽  
Functional Areas ◽  
The Mathematical Model ◽  
Mathematical Design ◽  
Sports Shoes

Abstract Based on a further study on knitting and jacquard principles, this paper presents a mathematical design model to make computer-aided design of warp-knitted jacquard spacer fabrics more efficient. The mathematical model with matrix method employs three essential elements of chain notation, threading and Jacquard designing. With this model, the processing to design warp-knitted jacquard spacer fabrics with CAD software is also introduced. In this study, the sports shoes which have separated functional areas according to the feet structure and characteristics of movement are analysed. The results show the different patterns on Jacquard spacer fabrics that are seamlessly stitched with jacquard technics. The computer-aided design method of warp-knitted jacquard spacer fabrics is efficient and simple.

Design Method of Prefabricated Hole Flange-Forming of Hemispherical Shell Parts

2013 ◽  
Vol 694-697 ◽  
pp. 3025-3028
Author(s):  
Zhong Lei Wang ◽  
Zhao Dong Li ◽  
Gang Cheng ◽  
Yang Li
Keyword(s):  
Mathematical Model ◽  
Numerical Method ◽  
Deformation Zone ◽  
Design Method ◽  
Difficult Problem ◽  
Software System ◽  
Hole Size ◽  
Hemispherical Shell ◽  
Flange Forming ◽  
The Mathematical Model

Based on the principle of the length unchanged and the principle of the area unchanged in the deformation zone, a mathematical model of the flange-forming prefabricated hole of hemispherical shell parts is established, for the difficult problem of designing the flange-forming prefabricated hole size for hemispherical shell parts. To solve the mathematical model, a numerical method and a software system for the solution of the mathematical model is established. The feasibility of the mathematical model and solving method is demonstrated by the simulation of the typical flange-forming of Hemispherical Shell Parts.

Analysis, Design and Simulation of Transmission System in a Mini Vehicle Weapon System (Unmanned Ground Vehicle)

2014 ◽  
Vol 620 ◽  
pp. 33-38
Author(s):  
Walid Berrah ◽  
Dong Guang Li
Keyword(s):  
Computer Aided Design ◽  
Inverse Kinematics ◽  
Structural Characteristics ◽  
Parallel Robot ◽  
Transmission System ◽  
Control Effect ◽  
Motion Platform ◽  
Ground Vehicle ◽  
Aided Design ◽  
The Mathematical Model

Operation of the gun/turret system in a military tank is limited by several constraints some of which are posed by obstacles existing on the vehicle's own platform. In this study we tried to eliminate some of these constraints by the design and adaptation of transmission system between the chassis of the vehicle and the upper structure. The proposed approach is to adapt a motion platform on the top of the chassis of the vehicle. The motion platform chosen is a 3RPS parallel robot will achieve persistent control by allowing the upper structure of the vehicle to always back to the horizontal position and stay in a level position, in spate of the displacements and vibrations on the vehicle. The design of the chassis of the vehicle and the parallel platform is made using SolidWorks Computer Aided Design software. After that according to structural characteristics of the 3-RPS parallel robot, the mathematical model of the posture inverse kinematics is established. Based on Matlab software, SimMechanics, the simulation model of this robot is established. The validity of the inverse kinematics is proved by comparing the two models. And during the simulation, the related kinetics data and motion animate are obtained. Finally the simulation comparison after setting the parameters of the PID controller is established too, the animation shows that the control effect is obvious where the moving platform follows the desired trajectory.

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