scholarly journals GENERATION OF 3D SHAPES WITH SUPERELLIPSOIDS, SUPERTOROIDS, SUPER CYLINDERS AND SUPER CONES

2017 ◽  
Vol 18 (2) ◽  
Author(s):  
D.L. ŞTEFAN ŢĂLU
Keyword(s):  
Computational Geometry ◽  
Computer Aided Design ◽  
Geometric Constructions ◽  
Geometric Information ◽  
3D Objects ◽  
Computer Aided ◽  
Aided Design ◽  
3D Shapes

<p>The purpose of this paper is to present a CAD study for generating of 3D shapes with superellipsoids, supertoroids, super cylinders and super cones based on computational geometry. To obtain the relevant geometric information concerning the shape and profile for different 3D objects the Madsie Freestyle 1.5.3 application was used. Results from this study are applied in geometric constructions and computer aided design used in engineering and sculpture design.</p>

scholarly journals Computer-Aided Sketching: Incorporating the Locus to Improve the Three-Dimensional Geometric Design

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1181 ◽  
Author(s):  
José Ignacio Rojas-Sola ◽  
David Hernández-Díaz ◽  
Ricardo Villar-Ribera ◽  
Vicente Hernández-Abad ◽  
Francisco Hernández-Abad
Keyword(s):  
Computational Geometry ◽  
Computer Aided Design ◽  
Three Dimensional ◽  
Geometric Design ◽  
Curved Surfaces ◽  
Two Dimensional ◽  
Technical Design ◽  
Computer Aided ◽  
Aided Design

This article presents evidence of the convenience of implementing the geometric places of the plane into commercial computer-aided design (CAD) software as auxiliary tools in the computer-aided sketching process. Additionally, the research considers the possibility of adding several intuitive spatial geometric places to improve the efficiency of the three-dimensional geometric design. For demonstrative purposes, four examples are presented. A two-dimensional figure positioned on the flat face of an object shows the significant improvement over tools currently available in commercial CAD software, both vector and parametric: it is more intuitive and does not require the designer to execute as many operations. Two more complex three-dimensional examples are presented to show how the use of spatial geometric places, implemented as CAD software functions, would be an effective and highly intuitive tool. Using these functions produces auxiliary curved surfaces with points whose notable features are a significant innovation. A final example provided solves a geometric place problem using own software designed for this purpose. The proposal to incorporate geometric places into CAD software would lead to a significant improvement in the field of computational geometry. Consequently, the incorporation of geometric places into CAD software could increase technical-design productivity by eliminating some intermediate operations, such as symmetry, among others, and improving the geometry training of less skilled users.

A Computational Geometry for the Blades and Internal Flow Channels of Centrifugal Compressors

1983 ◽  
Vol 105 (2) ◽  
pp. 288-295 ◽  
Author(s):  
M. V. Casey
Keyword(s):  
Computational Geometry ◽  
Computer Aided Design ◽  
Design Procedure ◽  
Internal Flow ◽  
Geometrical Shape ◽  
Parametric Form ◽  
Centrifugal Compressors ◽  
Flow Channels ◽  
Computer Aided ◽  
Aided Design

A new computational geometry for the blades and flow passages of centrifugal compressors is described and examples of its use in the design of industrial compressors are given. The method makes use of Bernstein-Bezier polynomial patches to define the geometrical shape of the flow channels. This has the following main advantages: the surfaces are defined by analytic functions which allow systematic and controlled variation of the shape and give continuous derivatives up to any required order: and the parametric form of the equations allows the blade and channel coordinates to be very simply obtained at any number of points and in any suitable distribution for use in subsequent aerodynamic and stress calculations and for manufacture. The method is particularly suitable for incorporation into a computer-aided design procedure.

A Computational Geometry for the Blades and Internal Flow Channels of Centrifugal Compressors

1982 ◽  
Author(s):  
M. V. Casey
Keyword(s):  
Computational Geometry ◽  
Computer Aided Design ◽  
Design Procedure ◽  
Internal Flow ◽  
Geometrical Shape ◽  
Parametric Form ◽  
Centrifugal Compressors ◽  
Flow Channels ◽  
Computer Aided ◽  
Aided Design

A new computational geometry for the blades and internal flow passages of centrifugal compressors is described and examples of its use in the design of industrial compressors are given. The method makes use of Bernstein-Bezier polynomial patches to define the geometrical shape of the flow channels. This has the following main advantages: the surfaces are defined by analytic functions which allow systematic and controlled variation of the shape and give continuous derivatives up to any required order; and the parametric form of the equations allows the blade and channel coordinates to be very simply obtained at any number of points and in any suitable distribution for use in subsequent aerodynamic and stress calculations and for manufacture. The method is particularly suitable for incorporation into a computer aided design procedure.

Logical Connectives for a CAD Query Language: Algorithms and Verification

2004 ◽  
Author(s):  
Ameya Divekar ◽  
Joshua D. Summers
Keyword(s):  
Computer Aided Design ◽  
Query Language ◽  
Test Cases ◽  
Geometric Information ◽  
Design Engineers ◽  
Modeling Systems ◽  
Computer Aided ◽  
Logical Connectives ◽  
Data Files ◽  
Aided Design

Design engineers create models of design artifacts with commercial Computer Aided Design (CAD) solid modeling systems. These systems stop short of providing support for querying and retrieving data from within the CAD data files. The design exemplar has been proposed as an approach to developing a CAD query language based upon an analysis of the design exemplar components, vocabulary, and extensions to support logical connectives. The implementation of the required extensions is offered in this paper. Algorithms are developed to implement the NOT and OR logical connectives. These algorithms are discussed as they relate to the generic exemplar algorithm. The verification of the algorithms is performed using test cases and comparing the expected results with those found using the software. The design exemplar, supported with the AND, NOT, and OR logical connectives, provides for complex and precise query expression and geometric information retrieval.

scholarly journals Investigation of errors in the representation of 3D models in determining the parameters of parts of devices BY the example of a two-mass rotating system with elastic coupling

2021 ◽  
Vol 47 (4) ◽  
pp. 8-19
Author(s):  
S. A. Bratchikov ◽  
E. A. Abramova
Keyword(s):  
Numerical Methods ◽  
3D Modeling ◽  
Computer Aided Design ◽  
3D Models ◽  
Design System ◽  
Basic Principles ◽  
Device Development ◽  
3D Objects ◽  
Computer Aided ◽  
Aided Design

Objective. The objective of the study is to consider the application field of modern device development and design methods using the means of 3D modeling and simulation of physical processes. The validity of the application and criteria for the reliability of the results obtained in the sequential design of the mechanical part of the electric drive and the control system are investigated.Methods. Methods of model representation of 3D objects in computer-aided design systems are considered, as well as methods for solving problems of determining strain under the applied load. Using the example of an elementary joint, the obtained results of the dynamic characteristic of an elastic shaft in a computer-aided design system are compared with those calculated analytically.Results. The article defines the basic principles and relations applicable to describing the shape of 3D models. Methods are shown by which it is possible to obtain information about the mass-centering model characteristics. The relations that form the basis of numerical methods for solving problems of determining elastic deformations of bodies are also given. The error that can occur when using insufficiently small elementary volumes in solving the problem of determining elastic deformation is shown.Conclusion. The use of 3D modeling in the design of complex technical systems is justified and speeds up production processes. However, numerical methods cannot always give an accurate result leading to the need to either increase the complexity of calculations or additionally adjust some designed device parameters.

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