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

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.

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.

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.

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.

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