Construction of Receptor Geometric Models for Objects of Complex Technical Forms

2020 ◽  
Vol 7 (4) ◽  
pp. 44-56 ◽  
Author(s):  
Vin Tun E ◽  
Leonid Markin

In this paper the question related to the use of receptor (voxel) method for geometric modeling to solve practical design problems has been considered. The use of receptor methods is effective in solving a certain class of problems, primarily the problems of automated layout. The complexity of this method’s practical use is due to the fact, that receptor geometric models are never the primary ones. They are formed based on parametric models specified by designer. Receptor models are the internal machine ones. The main problem that prevents the widespread use of the receptor method is the lack of universal methods for converting parametric models into the receptor ones. Available publications show that in solving practical problems various authors have developed their own methods for creating receptor models for objects of "primitives" and "composition of primitives" classes. Therefore, it is extremely urgent to solve the problem of developing a universal method of forming receptor models for objects of complex technical forms. The essence of the proposed method is the transformation of a solid-state model created in a CAD system into a receptor matrix. First in the physical one, in which the solid-state model is discretized into cubes with receptor sizes, and then in the mathematical one — a three-dimensional array with binary codes of zeros and ones. The creation of a physical receptor matrix is carried out by means of the CAD-system itself, allowing diagnose the belonging of a single receptor to a simulated object. The fact of intersection or non-intersection a given position by a single receptor is encoded by "1" and "0" respectively, and this information is transferred to a mathematical receptor model (3-dimensional binary array). This calculation procedure is programmed in the form of a macro, providing a given position of a single receptor and fixing the fact of its intersection with the solid-state model. Have been demonstrated examples for described method’s practical application, and has been carried out CPU time cost estimation for the construction of a physical receptor model depending on the receptor size and object geometric complexity. Actions on data transformation from a solid-state model to a receptor one have been implemented in the form of C# programs.

1991 ◽  
Vol 14 (3) ◽  
pp. 211-215 ◽  
Author(s):  
R Graham ◽  
D. L Shepelyansky
Keyword(s):  

Author(s):  
Denis Voloshinov ◽  
Konstantin Solomonov

The article is devoted to the consideration of a number of issues of hardware and software implementation of constructive geometric models. A rich arsenal of theoretical research in the field of constructive geometry has not been properly used for a long time due to the lack of tools for translating such models using computer technology. The development and improvement of the Simplex geometric modeling system, in which any geometric design is considered as a converter of information represented by signals of a geometric nature, has opened the possibility of applying the achievements of geometric science in computing applications, as well as the development of hardware that implements geometric calculation methods and provides a new graphical interface. The concept developed by the authors is aimed at creating specialized accelerators of geometric transformations.


2018 ◽  
Vol 6 (1) ◽  
pp. 48-56 ◽  
Author(s):  
Р. Булычев ◽  
R. Bulychev ◽  
Т. Аюшеев ◽  
T. Ayusheev

In this paper has been considered the process for simulation of technology for layer-by-layer deformation of sheet bars. In process describing the use of surface models is not desirable for reasons of design and technology, so as for each layer’s surface description its necessary to convert the original surface’s skeleton taking into account the layer thickness change, that leads to processed information’s volume increasing. To solve this problem has been used a perspective method of parametric solid-state simulation for description of sheet bar’s geometry and simulation process. This method has allowed describe a body of multi-layer construction, taking into account special features of sheet material’s layer-by-layer deformation technology. Considered model for assignment of shape and multi-layer structure made it possible to describe the process for formation of the designed shape from flat blank to finished sheet bar’s shape. In such a case, there is no operation for resetting of sought skeleton for interlayer surface. Basic program modules have been developed to describe the process for layer-by-layer deformation in MathCAD. The main program for process description includes the following modules: module for description of parametric solid-state model; module for description of the spinning tool’s motion trajectory; module for calculation of deformation process parameters; module for definition of deformation surface by rounded edges in the specified layer. The developed program complex was probated during manufacture of a detail with pyramidal shape. To implement the layer-by-layer deformation was used a CNC machine. The quoted results of theoretical and experimental researches on the example of manufacturing the pyramidal detail from sheet material have demonstrated that the use of such a form of description for multi-layer construction as parametric solid-state model has a positive impact on the obtaining detail’s surface quality improving.


2019 ◽  
Vol 7 (3) ◽  
pp. 70-85
Author(s):  
Вин Тун Е ◽  
Vin Tun E ◽  
Л. Маркин ◽  
Leonid Markin

The article discusses the solution to the problem of automating the design of layouts of various equipment, taking into account ergonomics, by which is meant the provision of service areas. The article describes the development of methods and algorithms that provide access to installation tools and workspace during installation and maintenance of already placed equipment. The solution method is geometric modeling of both the placed objects and the installation equipment necessary for its maintenance, as well as the trajectory of its movement to the service area. Thus, both the installation equipment and the movement paths are treated as composable objects, the intersection of which with other objects is unacceptable. As a modeling method, receptor-based geometric models that discretize the allocation space were used. The choice of receptor models is due to the fact that the solid-state model of all the instantaneous positions of the installation tool in the process of its delivery and operation is extremely complex from a geometrical point of view. The possibility of relatively easy to determine the fact of the intersection of all objects of the scene, described by receptor models, and is the rationale for the choice in our study of the receptor method of geometric modeling. Based on the receptor design model, a procedure has been developed for determining the trajectory of a mounting tool at a given operating point, as well as the formation of the space required for operation, or establishing the fact that it is impossible to service a particular object, which indicates an unsatisfactory (non-ergonomic) given design solution. In this study a feature of using receptor models is the use of 6-digit codes in the receptor matrices, which, with some complication of the modeling method, allows to obtain additional information about problem areas in the layout under study (impossibility of carrying a tool, impossibility of performing assembly operations, etc.). Algorithms for solving this problem, as well as a graphical shell that visualizes the results of computer-aided design, are implemented as C# programs.


2019 ◽  
Vol 11 (S) ◽  
pp. 135-141
Author(s):  
Mikhail Yu. KUPRIKOV ◽  
Leonid V. MARKIN

The task of forming the wind-swept surface according to the results of the aircraft’s inner design is described. The approach of the integration of natural and virtual prototyping in the design of equipment compartments is substantiated. Such approaches open up new possibilities for creating intelligent composition algorithms that eliminate the "blind search". For the practical implementation of these approaches, it is necessary to link the appropriate software to standard geometric modeling systems in the form of additional computational modules. Preparing the aircraft for design automation complicates the mathematical description of geometric models of placed objects, increases the complexity of their visualization in modern computer graphics systems and the need to create an additional interface between new geometric models and common CAD systems (SolidWorks, AutoCAD, COMPAS, etc.).


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