A MATHEMATICAL MODEL AND COMPUTER AIDED DESIGN FOR THE TEMPERATURE DISTRIBUTION IN AN OPEN HYDRAULIC SYSTEM

1993 ◽  
Vol 3 (5) ◽  
pp. 411-427
Author(s):  
I. AL NATOUR ◽  
M.S.J. HASHMI
Keyword(s):  
Mathematical Model ◽  
Temperature Distribution ◽  
Computer Aided Design ◽  
Hydraulic System ◽  
Computer Aided ◽  
Aided Design

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.

A Study on the Technology of Helical Groove Formation

2010 ◽  
Vol 139-141 ◽  
pp. 1264-1267 ◽  
Author(s):  
Ru Sheng Lu ◽  
Bin Yao ◽  
Bo Shi Yao ◽  
Ming Hui Chen
Keyword(s):  
Mathematical Model ◽  
Differential Geometry ◽  
Computer Aided Design ◽  
Rake Angle ◽  
Production Costs ◽  
Element Analysis ◽  
Computer Aided ◽  
Helical Groove ◽  
Aided Design ◽  
The Impact

On the basis of analyzing the geometric characteristics of the helical groove, the interfer -ometry method for its processing is discussed. This paper establishes a mathematical model of the helical groove, using differential geometry theory and numerical analysis. This research analyzes the impact of machine adjustment parameters (i.e. setting angle) on the geometry specification (i.e. Rake angle) of the helical groove. The simulation examples are done by CAD (Computer Aided Design), and the reasonable adjustment of machine parameters will be obtained by computer simulation and statistical analysis. This will reduce the time for design, the number of trial samples, and production costs. This study provides a precise 3D helical cutter model which can be used in areas such as finite element analysis (FEA) and virtual cutting tests.

scholarly journals Developing a Mathematical Model of a Part Based on Graphics System Models

2019 ◽  
pp. 67-76
Author(s):  
Sergey Yu. Kalyakulin ◽  
Vladimir V. Kuzmin ◽  
Eduard V. Mitin ◽  
Sergey P. Suldin ◽  
Tatiana B. Tyurbeeva
Keyword(s):  
Mathematical Model ◽  
Computer Aided Design ◽  
Geometric Shape ◽  
Design Parameters ◽  
Technological Processes ◽  
Calculation Of Parameters ◽  
Level Of Automation ◽  
Computer Aided ◽  
Design Systems ◽  
Aided Design

Introduction. The aim of the work is to develop a mathematical model of a part based on a parametric model of graphic systems. Material and Methods.The review of the status of the question of developing a mathematical model of a part based on graphic systems showed the possibility of controlling the geometric shape of a part through the variables of a parameterized drawing. A proposal was made to use design parameterization in the calculation of the parameters of technological processes in computer-aided design systems. Results. The article establishes links between the design parameters of the part drawing and tabular values of the variables. The revealed relationships between the parameters in the drawing and the variables in the table make it possible to change the geometric shape of the part by changing the values in the variable table, i.e. the drawing is managed through the table. It is proposed to use this system of work with the parametric drawing in computer-aided design systems for calculating the parameters of technological processes. Discussion and Conclusion. The tasks solved in this article allow making a step in increasing the level of automation of parameter calculations in computer-aided design systems. The implementation of the developed methodology for constructing mathematical models of parts based on graphic systems will increase the overall level of automation of developing geometric drawings of parts. The implementation of this technique in computer-aided design systems allows automating the calculation of parameters (cutting modes, time norms, technological dimensions on transitions, etc.).

Computer Aided Design of Hydraulic System

1985 ◽  
Vol 18 (9) ◽  
pp. 233-236
Author(s):  
D.Y. Chen ◽  
H.Q. Huo ◽  
X.Q. Ma
Keyword(s):  
Computer Aided Design ◽  
Hydraulic System ◽  
Computer Aided ◽  
Aided Design

Computer Aided Design of Internal Involute Spur Gears

1988 ◽  
Author(s):  
Chung-Biau Tsay
Keyword(s):  
Mathematical Model ◽  
Computer Aided Design ◽  
Gear Tooth ◽  
Gear Train ◽  
Modern Theory ◽  
Spur Gears ◽  
Tooth Contact Analysis ◽  
Computer Aided ◽  
Tooth Surfaces ◽  
Aided Design

Abstract The modern theory of gearing provides principles of generation for conjugate gear tooth surfaces while computer aided design is a very powerful tool in designing a gear train with conjugate shaped tooth surfaces. It is possible to set up a mathematical model for internal involute spur gears if the theory of gearing and the concept of differential geometry together with computer aided design technique have been applied. The derived mathematical model of internal involute spur gears can be used for computer simulation of conditions of meshing, tooth contact analysis, stress analysis, dynamic analysis, lubricating analysis, and wearing analysis of the gear train. This paper covered the solutions to the following problems : (a) method of generation for internal spur gears with conjugate tooth surfaces; (b) derivation of equations for gear tooth surfaces and their surface unit normals; and (c) computer graphics of generated internal involute spur gears.

scholarly journals MATHEMATICAL MODEL, COMPUTER AIDED DESIGN AND PROGRAMMING OF A MULTIFUNCTIONAL FLYING OBJECT

Aviation ◽  
2014 ◽  
Vol 18 (1) ◽  
pp. 28-39 ◽  
Author(s):  
Ernest Czerwiński ◽  
Michał Szewc ◽  
Igor Wojtunik ◽  
Jan Awrejcewicz ◽  
Paweł Olejnik
Keyword(s):  
Mathematical Model ◽  
Computer Aided Design ◽  
Control Unit ◽  
Engineering Research ◽  
University Of Technology ◽  
Computer Aided ◽  
Communication Module ◽  
Aerial Vehicle ◽  
Model Computer ◽  
Aided Design

The quadrocopter, an unmanned aerial vehicle (UAV), is a type of aerodynamic object using thrust generated by the propellers revolving around the rotor mast. The main areas of focus for complete design and engineering research should be on its stabilization and realization of tasks to be performed during flight. To accomplish these tasks, it is necessary to consider the following stages: modeling of motion dynamics, computer-aided design, programming of the control unit, precise implementation, carefully selected motors and sensors, i.e. a gyroscope, accelerometer, camera, communication module, GPS module, and others. The presented results of research and experiments carried out at Lodz University of Technology in the Department of Automation and Biomechanics take into consideration most of these issues.

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