scholarly journals New Computational Geometry Methods Applied to Solve Complex Problems of Radiative Transfer

2020 ◽  
Author(s):  
Francisco Salguero-Andújar ◽  
Joseph Cabeza-Lainez
Keyword(s):  
Radiative Transfer ◽  
Computational Geometry ◽  
Solid Angle ◽  
Computer Time ◽  
Graphical Interface ◽  
New Approach ◽  
Thermal Exchange ◽  
Complex Problems ◽  
Geometrically Complex ◽  
Aided Design

Several problems of radiative transfer are yet unsolved because of the difficulties of the calculations involved in them, especially if the intervening shapes are geometrically complex. The main goal of our investigation in this domain is to convert the formulas that were previously derived, into a graphical interface based on the projected solid-angle principle. Such procedure is now feasible by virtue of several widely diffused programs for Algorithms Aided Design (AAD). Accuracy and reliability of the process is controlled by means of the analytical software DianaX developed at an earlier stage by the authors. With this new approach the often cumbersome procedure of lighting and thermal exchange calculations can be simplified and made available for the neophyte, with the undeniable advantage of reduced computer time.

scholarly journals New Computational Geometry Methods Applied to Solve Complex Problems of Radiative Transfer

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2176
Author(s):  
Francisco Salguero-Andújar ◽  
Joseph-Maria Cabeza-Lainez
Keyword(s):  
Radiative Transfer ◽  
Computational Geometry ◽  
Energy Exchange ◽  
Solid Angle ◽  
Computer Time ◽  
Acoustic Energy ◽  
Innovative Approach ◽  
Graphical Interface ◽  
Aided Design ◽  
Cumbersome Calculation

Diverse problems of radiative transfer remain as yet unsolved due to the difficulties of the calculations involved, especially if the intervening shapes are geometrically complex. The main goal of our investigation in this domain is to convert the equations that were previously derived into a graphical interface based on the projected solid-angle principle. Such a procedure is now feasible by virtue of several widely diffused programs for Algorithms Aided Design (AAD). Accuracy and reliability of the process is controlled in the basic examples by means of subroutines from the analytical software DianaX, developed at an earlier stage by the authors, though mainly oriented to closed cuboidal or curved volumes. With this innovative approach, the often cumbersome calculation procedure of lighting, thermal or even acoustic energy exchange can be simplified and made available for the neophyte, with the undeniable advantage of reduced computer time.

scholarly journals Computer aided design of sequencing problem – the concept of Paint Shop 4.0

Mechanik ◽  
2018 ◽  
Vol 91 (7) ◽  
pp. 529-531
Author(s):  
Jolanta Krystek ◽  
Sara Alszer ◽  
Szymon Bysko
Keyword(s):  
Automotive Industry ◽  
Computer Aided Design ◽  
Industry 4.0 ◽  
Paint Shop ◽  
Actual Structure ◽  
New Approach ◽  
Digital Factory ◽  
Sequencing Problem ◽  
Car Body ◽  
Aided Design

Presented is the concept of paint shop operation for the automotive industry – Paint Shop 4.0, based on the ideas of Industry 4.0 and Digital Factory. A new approach to the issue of car body sequencing, taking into account the actual structure of the paint shop department with buffers, has been presented. In the created application, proprietary car body sequencing algorithms were implemented.

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 new approach to the calculation of electrostatic energy relations in minerals: the dioctahedral and trioctahedral phyllosillicates

1979 ◽  
Vol 293 (1401) ◽  
pp. 169-208 ◽  
Keyword(s):  
Computer Time ◽  
Quadratic Functions ◽  
Electrostatic Energy ◽  
Complex Structures ◽  
X Ray Diffraction ◽  
New Approach ◽  
Considerable Saving ◽  
Lattice Energies ◽  
Energy Relations ◽  
Made In

This paper presents an original and useful method for calculating and comparing the electrostatic component of the lattice energies of families of related, complex structures. The methodology and use of hypothetical, tractable steps in passing from one structure to another can be extended to families of crystal structures other than the phyllosilicates. Calculations made on a single ‘generic’ silicate, KX 2 X'T 4 O 10 (OH) 2 , enables us to obtain the lattice energies of 1M aluminium mica, phlogopite, talc, pyrophyllite, saponite, beidellite, illite, montmorillonite and hectorite and their fluorinated analogues. Site potentials are readily obtained when calculations are made in this manner. Considerable saving of computer time and effort coupled with little sacrifice of accuracy are a feature of this approach. The paper further goes on to suggest how comparison of this type of generic calculation with the results obtained from calculations made on the true individual phyllosilicate structure can extend the potential information that can be gained from these studies. The investigation of substitutional and relaxation energies of the phyllosilicates is considered. Surface energies (shown to be quadratic functions of x for micas derived from the structure A X X 2 X'T 4 O 10 (OH) 2 , (A = Na or K)) are calculated on the same principle, from, in this case, a ‘generic’ expanded lattice. The transferability principle introduced in this work enables us to make specific predictions regarding minerals for which single crystal X-ray diffraction studies are impractical. We attempt wherever possible an interpretation of the energies we calculate.

scholarly journals A New Approach for the Construction of Long-Periodic Perturbations

1978 ◽  
Vol 41 ◽  
pp. 57-64
Author(s):  
Rudolf Dvorak
Keyword(s):  
Analytical Method ◽  
Specific Problem ◽  
Computer Time ◽  
Lagrange Equations ◽  
New Approach ◽  
Precise Method ◽  
Periodic Perturbations ◽  
Small Parameters ◽  
New Form ◽  
Specific Formulation

AbstractThe aim of this work is to study perturbations of planets of a period of some thousands of years. The use of an analytical method allows us to separate all different influences, e.g. near resonances and is combined with the very precise method of the numerical integration. The truncation to low orders can be avoided which is made by analytical methods in using developments with respect to the small parameters inclinations and eccentricities. For this purpose a special form of the Lagrange Equations is used where the terms containing the inverse distancefrom the planet to the perturbing one are separated as it is the most difficult to compute. To develop this a specific formulation has been found where the short periodic terms can precisely be determined. Although the development seems to be of a certain complexity the small numbers of quantities used can be tabulated once and for all in a specific problem. It should be possible to integrate the new form of the Lagrange Equations within a reasonable computer-time to determine the long periodic perturbations.

Computer Implementation of an Optimal Conformal Mapping for Gear Tooth Stress Analysis

1989 ◽  
Vol 111 (2) ◽  
pp. 297-305 ◽  
Author(s):  
M. J. Richard ◽  
D. Pare ◽  
A. Cardou
Keyword(s):  
Conformal Mapping ◽  
Stress Analysis ◽  
Computer Aided Design ◽  
Gear Tooth ◽  
Spur Gear ◽  
Concentrated Load ◽  
New Approach ◽  
Gear Teeth ◽  
Aided Design ◽  
Mapping Theory

This paper describes a computerized version of the complex potential approach which is a comprehensive mathematical model for the stress analysis of spur gear teeth. The entire procedure is a basic application of Hirano’s conformal mapping theory in which laws of elasticity have been combined. The main concepts of the method have been explained in previous publications but the work described herein is an appreciable extension of this relatively new approach. The algorithm is eminently well-suited for computer-aided-design of gear teeth; it serves as the basis for an interactive computer program which can model a gear tooth and can calculate the stresses and displacements within the tooth when subjected to a concentrated load. Results are compared with AGMA’s and other published values.

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