The Studying of Logix Gear Construction Principle and Parameter Simulation Using Matlab

2011 ◽  
Vol 80-81 ◽  
pp. 1118-1122
Author(s):  
Ai Qin An ◽  
Ming Hua Pang ◽  
Lian Feng Zhang ◽  
Yong Fang Nie
Keyword(s):  
Mathematical Models ◽  
Computer Aided Design ◽  
Gear Tooth ◽  
Tooth Profile ◽  
Profile Curve ◽  
Computer Aided ◽  
Base Circle ◽  
Manufacturing Methods ◽  
Aided Design ◽  
Logix Gear

Logix gear is a new gear based on new tooth profile theory. On the primary, the forming principle of the logix gear tooth profile is analysed. Then the tooth profile curve equations of logix gear are derived, and their center coordinate equations of base circle are given. According these equations, their curves are simulated using Matlab, which are corresponded to practical tests. The study lays a foundation of computer aided design of the logix gears. And the study can be used to perfect mathematical models and to optimize manufacturing methods.

Further Investigation of Multifacet Drills (MFD’s)—Mathematical Models, Methods of Grinding, and Computer Plotting

1984 ◽  
Vol 106 (4) ◽  
pp. 313-324 ◽  
Author(s):  
L. H. Chen ◽  
S. M. Wu
Keyword(s):  
Mathematical Models ◽  
Computer Aided Design ◽  
Coordinate Transformations ◽  
Geometric Characteristics ◽  
Computer Aided ◽  
Aided Design ◽  
Geometric Elements ◽  
Future Work

The geometric characteristics of nine representative Multifacet Drills (MFD’s) are summarized. Mathematical models of the various component surfaces are derived and analyzed using coordinate transformations. The mathematical models of the geometric elements are used to deduce appropriate grinding methods. Computer plots of MFD’s are also presented to check the mathematical models and to lay a foundation for future work on computer-aided design (CAD) of MFD’s.

scholarly journals Generation of tooth profile for Roots rotor based on virtual linkage associated with Assur group

2016 ◽  
Vol 8 (12) ◽  
pp. 168781401668335 ◽  
Author(s):  
Yingjie Cai ◽  
Ligang Yao ◽  
Guowu Wei
Keyword(s):  
Computer Aided Design ◽  
Three Dimensional ◽  
Tooth Profile ◽  
Rotor Profile ◽  
Computer Aided ◽  
Linkage Method ◽  
Assur Group ◽  
Manufacturing Software ◽  
Rotor Tooth ◽  
Aided Design

This article, for the first time, presents the generation of Roots rotor tooth profiles based on an Assur-group-associated virtual linkage method. Taking the original Roots rotor as an example, structure and geometry of the Roots rotor are introduced, and based on the principle of inversion, an equivalent virtual linkage is identified for generating dedendum tooth profile of the rotor. Using linkage decomposition associated with elemental Assur groups, algorithm for computing the tooth curve is constructed leading to the explicit expression of rotor profile and the corresponding numerical simulation, verifying the validity of the proposed approach. For demonstration purpose, the virtual linkage method is then extended to the generation of tooth profiles for the variants of Roots rotors with arc-cycloidal curves and arc-involute curves. Integrated with computer-aided design, computer-aided engineering and computer-aided manufacturing software platforms, as well as the three-dimensional printing technology, this article provides an efficient and intuitive approach for Roots rotor system design, analysis and development.

scholarly journals DEVELOPMENT OF A SOFTWARE AND HARDWARE COMPLEX FOR THE DESIGN OF CHEMICAL AND TECHNOLOGICAL SYSTEMS

2021 ◽  
Vol 2021 (1) ◽  
pp. 19-23
Author(s):  
Andrey Istomin ◽  
Maksim Krivov ◽  
Alena Andreevna Istomina
Keyword(s):  
Mathematical Models ◽  
Computer Aided Design ◽  
Software Package ◽  
Technological Systems ◽  
Complex Chemical ◽  
Technological Processes ◽  
Hardware Complex ◽  
Computer Aided ◽  
Software And Hardware ◽  
Aided Design

The problems of constructing a software package for computer-aided design of mathematical models of complex chemical and technological processes are considered.

Mathematical models for rotor strength and optimization in computer-aided design

1982 ◽  
Vol 14 (8) ◽  
pp. 1099-1102
Author(s):  
I. V. Dem'yanushko ◽  
V. V. Zhestovskii ◽  
V. Ya. Bratchik
Keyword(s):  
Mathematical Models ◽  
Computer Aided Design ◽  
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 Evaluation of Lateral and Vertical Dimensions of Micromolds Fabricated by a PolyJet™ Printer

Micromachines ◽  
2021 ◽  
Vol 12 (3) ◽  
pp. 302
Author(s):  
Sindhu Vijayan ◽  
Pravien Parthiban ◽  
Michinao Hashimoto
Keyword(s):  
Experimental Data ◽  
Mathematical Models ◽  
Computer Aided Design ◽  
Microfluidic Devices ◽  
Maximum Deviation ◽  
Model Framework ◽  
Computer Aided ◽  
3D Printers ◽  
Experimental Findings ◽  
Aided Design

PolyJet™ 3D printers have been widely used for the fabrication of microfluidic molds to replicate castable resins due to the ease to create microstructures with smooth surfaces. However, the microstructures fabricated by PolyJet printers do not accurately match with those defined by the computer-aided design (CAD) drawing. While the reflow and spreading of the resin before photopolymerization are known to increase the lateral dimension (width) of the printed structures, the influence of resin spreading on the vertical dimension (height) has not been fully investigated. In this work, we characterized the deviations in both lateral and vertical dimensions of the microstructures printed by PolyJet printers. The width of the printed structures was always larger than the designed width due to the spreading of resin. Importantly, the microstructures designed with narrow widths failed to reproduce the intended heights of the structures. Our study revealed that there existed a threshold width (wd′) required to achieve the designed height, and the layer thickness (a parameter set by the printer) influenced the threshold width. The thresholds width to achieve the designed height was found to be 300, 300, and 500 μm for the print layer thicknesses of 16, 28, and 36 μm, respectively. We further developed two general mathematical models for the regions above and below this threshold width. Our models represented the experimental data with an accuracy of more than 96% for the two different regions. We validated our models against the experimental data and the maximum deviation was found to be <4.5%. Our experimental findings and model framework should be useful for the design and fabrication of microstructures using PolyJet printers, which can be replicated to form microfluidic devices.

Sign in / Sign up

Export Citation Format

Share Document