# Method for modelling in three-dimensional engineering computer systems

FIELD: computer science.

SUBSTANCE: method includes forming a computer model of object, determining mass-center and inertial characteristics of object model, while according to first variant, model of object is made in form of mass-inertia imitator, being an imitator of mass and main center momentums of inertia, according to second variant, model of object is made in form of assembly imitator, in form of assembly, received by combining dimensional imitator of object model, in form of three-dimensional model with appropriate outer geometry, and mass imitator and main central inertia momentums, and according to third variant object model is formed as component imitator, in form of assembly, consisting of dimensional object model imitator, in form of three-dimensional model of object with appropriate outer geometry.

EFFECT: higher efficiency, broader functional capabilities, lower laboriousness.

3 cl, 5 dwg

The invention relates to the field of computer engineering and can be used for designing multi-component products using computer systems for three-dimensional modeling.

There is a method of volumetric modeling (1), based on a simplified representation of volumetric models for layout objects. Volume layout model used in the design in the form of weight (dimensions, shape, mass and coordinates of the center of gravity of the layout of the respective product), thermal and artistic layouts.

The disadvantages of this method of volumetric modeling is the complexity of the play inertial characteristics of the product.

The closest technical solution, selected as a prototype, is a method of modeling in computer systems, three-dimensional design (computer software three-dimensional design), which includes operations for creating three-dimensional computer model of the object, determining the mass-centering and inertial characteristics of the model object (2), the essence of which is to create a three-dimensional computer model of each part with the desired geometry and density of the material. Full three-dimensional computer model of composable object represents a set of computer the situations of three-dimensional models of parts and Assembly units also consisting of three-dimensional computer models of parts. The functionality of computer systems three-dimensional design allows to determine the mass, position of center of mass, axial and centrifugal moments of inertia (mass-centering and inertial characteristics of the object) on the geometry and density of the material details.

The disadvantage of this method modeling of computer systems, three-dimensional design is the low performance of the computer system until unacceptable to the user level due to the complexity of three-dimensional computer model of composable products containing a large number of units with three-dimensional computer models of the internal structure.

The technical problem to be solved by using the proposed method of modeling in computer systems, three-dimensional design is to create a more simple and accurate way of modeling the mass-centering and inertial characteristics of the product, consisting of a large number of units.

Technical result:

- the use of less productive computing;

- expand the functionality of the simulation in computer systems, three-dimensional design, which is to offer the possibility of creating to mutarnee three-dimensional model of the object, the inner content which is unavailable to the user (because of state secrets, know-how of the developer and other reasons);

- improved performance of the work.

The task in the first embodiment is solved in that in the method of modeling of computer systems, three-dimensional design, which includes operations for creating three-dimensional computer model of the object, determining the mass-centering and inertial characteristics of the object model, unlike the prototype, three-dimensional computer model of the object created in the form of mass-inertia simulator, which is a simulator of mass and the principal Central moments of inertia, consisting of three-dimensional models of six equal balls. The total mass of the balls is equal to the mass of an object. The centers of the balls come in pairs along the coordinate axes symmetrically relative to the beginning of the coordinate system at distances determined from the condition of ensuring the identity of the values of the principal Central moments of inertia corresponding values of the object model. Then start coordinate system simulator mass and the principal Central moments of inertia are placed at the point corresponding to the position of the center of mass of the object, and the axis is combined with the corresponding directions of the main axes of the object model.

Postavlennaya the second option is solved by that way modeling in computer systems, three-dimensional design, which includes operations for creating three-dimensional computer model of the object, determining the mass-centering and inertial characteristics of the object model, unlike the prototype, the model object is created in the form of a layout of the simulator, which is an Assembly obtained by combining the overall simulator model object representing the three-dimensional model with its outer geometry, given a zero density of the material and a predetermined point corresponding to the position of the center of mass of the object, and simulator mass and the principal Central moments of inertia, consisting of three-dimensional models of six equal balls. The total mass of the balls is equal to the mass of an object. The centers of the balls come in pairs along the coordinate axes symmetrically relative to the beginning of the coordinate system at distances determined from the condition of ensuring the identity of the values of the principal Central moments of inertia corresponding values of the object model. Then start coordinate system simulator mass and the principal Central moments of inertia place at a given point overall simulator corresponding to the position of the center of mass of the model object, and the axis is combined with the corresponding directions of the main axes of the object model.

The village is Alanna task by the third variant is solved by that way modeling in computer systems, three-dimensional design, which includes operations for creating three-dimensional computer model of the object, determining the mass-centering and inertial characteristics of the object model, unlike the prototype, the model object is created in the form of a layout of the simulator, which is an Assembly consisting of the overall simulator model object representing the three-dimensional model with its outer geometry, given a zero density of the material, in which is placed a three-dimensional model of six equal balls, the total mass of which is equal to the mass of an object. The centers of the balls have under condition of providing the values of the moments of inertia corresponding values of the model object.

Creating a model object in the first embodiment in the form of mass-inertia simulator, which is a simulator of mass and the principal Central moments of inertia, consisting of three-dimensional models of six identical balls, the total mass of the balls is equal to the mass of an object, the centers of the balls are located in pairs along the coordinate axes symmetrically relative to the beginning of the coordinate system at distances determined from the condition of ensuring the identity of the values of the principal Central moments of inertia corresponding values of the object model, can significantly oprosti the ü object model by replacing its six equal balls and a simple calculation of the inertial characteristics of the balls and to ensure the identity of the values of the principal Central moments of inertia corresponding model values object.

Placing the beginning of the coordinate system simulator mass and the principal Central moments of inertia at the point corresponding to the position of the center of mass of the object and the combination of the axes with the respective directions of the main axes of the object model allows you to create mass-inertia simulator, which provides for the determination of the mass-centering and inertial characteristics of the product, consisting of a large number of Assembly units using less productive computing machinery (due to the replacement of multicomponent products of simple mass-inertial simulator) and, consequently, to improve the performance of works.

Creating a model of the object according to the second variant in the form of a layout of the simulator, which is an Assembly obtained by combining the overall simulator model object representing the three-dimensional model with its outer geometry, given a zero density of the material and a predetermined point corresponding to the position of the center of mass of the object and the mass-inertia of the simulator, which is a simulator of mass and the principal Central moments of inertia, location of the beginning of the coordinate system simulator mass and the principal Central moments of inertia at a given point overall simulator corresponding to the position of the center of mass m is Delhi object, and the combination of the axes with the respective directions of the main axes of the object model allows to determine the mass-centering and inertial characteristics, and to produce a layout of the operation of the product, consisting of a large number of Assembly units using less productive computing machinery (due to the replacement of multicomponent products of simple layout simulator) and, consequently, to improve the performance of works.

Creating a model of the object by the third variant in the form of a layout of the simulator, which is an Assembly consisting of the overall simulator model object representing the three-dimensional model with its outer geometry, given a zero density of the material, which placed a three-dimensional model of six equal balls, the total mass of which is equal to the mass of an object and the location of the centers of the balls from the condition of ensuring the identity of the values of the moments of inertia corresponding values of the object model allows to determine the mass-centering and inertial characteristics, and to produce a layout of the operation of the product, consisting of a large number of Assembly units using less productive computing, as well as to improve performance execution of works due to simple with the building layout of the simulator.

In the first and second embodiments, the presence of the mass-inertia of the simulator, as in the third embodiment, the presence of three-dimensional models of six identical balls, the total mass of which is equal to the mass of an object and the centers of the balls are located from the condition of ensuring the identity of the values of the moments of inertia corresponding values of the object model, allows high accuracy to determine the mass-centering and inertial characteristics.

In the second and third embodiments, the presence in the layout simulator dimensions simulator allows for greater performance in a simplified form to make the layout work for multicomponent products.

In the third embodiment, the placement of the centers of the balls from the condition of ensuring the identity of the values of the moments of inertia corresponding values of the object model can reduce the complexity of the model, and hence to improve the performance of works.

The essence of the invention is illustrated by drawings, where

figure 1 presents the simulator mass and the principal Central moments of inertia;

figure 2 - mass-inertia simulator;

figure 3 - overall simulator;

figure 4 - layout simulator obtained by combining the overall simulator model and simulator mass, and the principal Central moments of inertia;

figure 5 - layout simulator, consisting of gabarit the th of simulator model and three-dimensional models of six equal balls.

In the first variant of the method of simulation in computer systems, three-dimensional design (computer software three-dimensional design, such as Kompas-3D, SolidEdge, SolidWorks, Inventor, Unigraphics, Pro/Engineer, CATIA) based on the obtained object data source (mass m, the coordinates of the center of mass is X_{cm},_{cm}, Z_{cm}; main Central moments of inertia J_{xo}I , j_{yo}I , j_{zo}direction of the main Central axes of inertia (direction cosines) - cosα_{1}cosβ_{1}cosγ_{1}cosα_{2}cosβ_{2}cosγ_{2}cosα_{3}cosβ_{3}cosγ_{3}) creates a three-dimensional computer model of the object in the form of a simulator of mass and the principal Central moments of inertia 1, which consists of three-dimensional models of six identical balls 2, 3, 4, 5, 6, 7, the total mass of which is equal to the mass of an object. What is the model of the ball 2 (3, 4, 5, 6, 7) in view of the part with the calculated radius R_{Orb}by the formula

where,

ρ is the density of the material of the ball.

The centers of the balls 2, 3, 4, 5, 6, 7 have pairs along the coordinate axes 8, 9, 10 symmetrically relative to the beginning of the coordinate system 11 at distances of 12, 13, 14, which is determined from the condition of ensuring Eden is licnosti principal Central moments of inertia corresponding values of the object model. Distance 12, 13, 14 is calculated by the formula

X_{0}distance 12,

Y_{0}- length 13,

Z_{0}distance 14.

Then the beginning of the coordinate system 11 simulator mass and the principal Central moments of inertia 1 is placed at the point 15 corresponding to the position of the center of mass of the object and the axis 8, 9, 10 combine with the corresponding directions of the main axes of the model object 16, 17, 18 (see figure 2), and thereby a three-dimensional computer model of the object in the form of mass-inertia simulator 19. For corner fixing axes 8, 9, 10 simulator mass and the principal Central moments of inertia 1 are calculated in the coordinate system OXYZ coordinate X_{x}, Y_{x}, Z_{x}point (in this example point coincident with the center of the ball 2)lying on the axis 8 by the formula

X_{x}=X_{0}·cosα_{1}+X_{cm}

Y_{x}=X_{0}·cosβ_{1}+Y_{cm}

Z_{x}=X_{0}·cosγ_{1}+Z_{cm,}

where X_{cm}, Y_{cm}, Z_{cm}- coordinates of the point 15 corresponding to the position of the center of mass of the object;

X_{0}- coordinate of the center of the ball 2 in the coordinate system 0X_{0}Y_{0}Z_{0}(8, 9, 10), equal to the distance 12;

cosα_{1}, coβ
_{1}cosγ_{1}- direction cosines (set).

Then calculated in the coordinate system OXYZ coordinate X_{y}, Y_{y}, Z_{y}point (in this example point coincident with the center of the ball 4)lying on the axis 9 by the formula

X_{y}=Y_{0}·cosα_{2}+X_{cm}

Y_{y}=Y_{0}·cosβ_{2}+y_{cm}

Z_{y}=Y_{0}·cosγ_{2}+Z_{cm}

where X_{cm}, Y_{cm}, Z_{cm}- coordinates of the point 15 corresponding to the position of the center of mass of the object;

Y_{0}- coordinate of the center of the ball 4 in the coordinate system 0X_{0}Y_{0}Z_{0}(8, 9, 10), equal to the distance 13;

cosα_{2}cosβ_{2}cosγ_{2}- direction cosines (set).

Determine the mass-centering and inertial characteristics of the object model in the form of the mass-inertia of the simulator.

The application of models of objects (devices, components, Assembly units and the like) in the form of a simple mass-inertia imitators when designing computer systems for three-dimensional modeling complex inner product allows us to solve the problem of determining the mass-centering and inertial characteristics of the product as a whole. This model of the product is greatly simplified, allowing you to use less productive computing equipment is in or to design more complex products with acceptable user performance using existing computer technology.

In the second variant of the method of simulation in computer systems, three-dimensional design based on the original data for the object (for example, dimensional drawing, etc.) creates overall simulator model of the object 20, which represents three-dimensional computer model with its outer geometry given a zero density of the material (see figure 3). Set it a point 15 corresponding to the position of the center of mass of the object. Then create a simulator of mass and the principal Central moments of inertia 1 (shown in figure 1 in the first embodiment). Next, the origin of the coordinate system 11 simulator mass and the principal Central moments of inertia 1 place at a given point 15 overall simulator 20 corresponding to the position of the center of mass of the object, and the axis is combined with the corresponding directions of the main axes of the object model. Thus, there is a model of the object in the layout of the simulator, which is an Assembly obtained by combining the overall simulator 20 and simulator mass and the principal Central moments of inertia 1.

Then determine the mass-centering and inertial characteristics of the model object.

Created this model of the object in the layout of the simulator allows along with the definition of mass-centering and inertial characteristics of the articles the Oia be made in a simplified form and layout.

In the third embodiment of the method of simulation in computer systems, three-dimensional design based on the original data for the object (for example, dimensional drawing, etc.) creates overall simulator model of the object 20, which represents three-dimensional computer model with its outer geometry given a zero density of the material (see figure 3). Then create three-dimensional models of six identical balls 2, 3, 4, 5, 6, 7, the total mass of which is equal to the mass of an object. Then the centers of the balls 2, 3, 4, 5, 6, 7 have the conditions of ensuring the identity of the values of the moments of inertia corresponding values of the object model. The coordinates of the centers of the balls 2, 3, 4, 5, 6, 7 in the coordinate system OXYZ are calculated by the formulas:

X_{1}=X_{0}cosα_{1}+X_{cm}

Y_{1}=X_{0}cosβ_{1}+Y_{cm}

Z_{1}=X_{0}cosγ_{1}+Z_{cm}

X_{2}=-X_{0}cosα_{1}+X_{cm}

Y_{2}=-X_{0}cosβ_{1}+Y_{cm}

Z_{2}=-X_{0}cosγ_{1}+Z_{cm}

X_{3}=Y_{0}cosα_{2}+X_{cm}

Y_{3}=Y_{0}cosβ_{2}+Y_{cm}

Z_{3}=Y_{0}cosγ_{2}+Z_{cm}

X_{4}=-Y_{0}cosα_{2}+X_{cm}

Y_{4}=-Y_{0}cosβ_{2}+Y_{cm}

Z_{4}=-Y_{0}cosγ_{2}+Z_{cm}

X_{5}=Zsub>
0cosα_{3}+X_{cm}

Y_{5}=Z_{0}cosβ_{3}+Y_{cm}

Z_{5}=Z_{0}cosγ_{3}+Z_{cm}

X_{6}=-Z_{0}cosα_{3}+X_{cm}

Y_{6}=-Z_{0}cosβ_{3}+Y_{cm}

Z_{6}=-Z_{0}cosγ_{3}+Z_{cm}

Then determine the mass-centering and inertial characteristics of the model object.

This method of creating a layout of the simulator by direct location (insertion) of three-dimensional models of six balls is more comfortable for the performer, the performance of the work.

The use of the proposed method of modeling in computer systems, three-dimensional design will allow you to:

1) use less productive computing;

2) to improve the performance of works;

3) to extend the functionality;

4) to simplify the layout.

SOURCES of INFORMATION

1. Reference designer REA. General design principles. Edited Regulative. Moscow, "Soviet radio", 1980, s.

2. The catalogue. Effective solutions CAD/CAM/PDM. ASCON, St. Petersburg, Russia, September 2001, p.6-7.

1. The method of three-dimensional modeling of the devices or components of Assembly units in computer systems design, including operations is to create three-dimensional computer model of the object, the definition of mass-centering and inertial characteristics of the model object, wherein based on the obtained object data source create three-dimensional computer model of the object in the form of a simulator of mass and the principal Central moments of inertia, consisting of three-dimensional models of six identical balls, the total mass of which is equal to the mass of an object, the centers of the balls are located in pairs along the coordinate axes symmetrically relative to the beginning of the coordinate system at distances determined from the condition of ensuring the identity of the values of the principal Central moments of inertia of the object to the corresponding values of the three-dimensional model of the object according to the formula

where M is the mass of an object;

Jxo, Jyo, Jzo - principal Central moments of inertia of the object

then start coordinate system simulator mass and the principal Central moments of inertia are placed at the point corresponding to the position of the center of mass of the object, and the axis is combined with the corresponding directions of the main axes of the three-dimensional model of the object and thereby creating a three-dimensional object model in the form of the mass-inertia of the simulator, and then determine the mass-centering and inertial characteristics of the three-dimensional object model in the form of a mass in rinnovo simulator.

2. The method of three-dimensional modeling of the devices or components of Assembly units in computer systems design, which includes operations for creating three-dimensional computer model of the object, determining the mass-centering and inertial characteristics of the object, characterized in that on the basis of the received object data source create dimensional simulator of a three-dimensional object model representing a three-dimensional computer model with its outer geometry, given a zero density of the material and a predetermined point corresponding to the position of the center of mass of the object, then create a simulator of mass and the principal Central moments of inertia, consisting of three-dimensional models of six identical balls, the total mass of which is equal to the mass of an object, the centers of the balls located in pairs along the coordinate axes symmetrically relative to the beginning of the coordinate system at distances determined from the condition of ensuring the identity of the values of the principal Central moments of inertia of the object to the corresponding values of the three-dimensional model of the object according to the formula

where M is the mass of an object;

Jxo, Jyo, Jzo - principal Central moments of inertia of the object

then start coordinate system simulator mass and the main Central the different moments of inertia place at a given point overall simulator, corresponding to the position of the center of mass of the object, and the axis is combined with the corresponding directions of main Central axes of inertia of a three-dimensional model of the object and thereby creating a three-dimensional model of the object in the layout of the simulator, and then determine the mass-centering and inertial characteristics of the three-dimensional model of the object in the layout of the simulator.

3. The method of three-dimensional modeling of the devices or components of Assembly units in computer systems design, which includes operations for creating three-dimensional computer model of the object, determining the mass-centering and inertial characteristics of the model object, wherein based on the obtained object data source create dimensional simulator of a three-dimensional object model representing a three-dimensional computer model with its outer geometry, given a zero density of the material and a predetermined point corresponding to the position of the center of mass of the object, in which is placed a three-dimensional model of six equal balls, the total mass equal to the mass of the object, while the centers of the balls have relative to the beginning of the three-dimensional coordinate system the object model on the coordinates determined from the condition of ensuring the identity of the values of the moments of inertia of the object to the corresponding values of the three the agreement of the model object by the formula

X_{1}= X_{0}cosα_{1}+ X_{cm};

Y_{1}= X_{0}cosβ_{1}+ Y_{cm};

Z_{1}= X_{0}cosγ_{1}+ Z_{cm};

X_{2}= - X_{0}cosα_{1}+ X_{cm};

Y_{2}= - X_{0}cosβ_{1}+ Y_{cm};

Z_{2}= - X_{0}cosγ_{1}+ Z_{cm};

X_{3}= Y_{0}cosα_{2}+ X_{cm};

Y_{3}= Y_{0}cosβ_{2}+ Y_{cm};

Z_{3}= Y_{0}cosγ_{1}+ Z_{cm};

X_{4}= - Y_{0}cosα_{2}+ X_{cm};

Y_{4}= - Y_{0}cosβ_{2}+ Y_{cm};

Z_{4}= - Y_{0}cosγ_{2}+ Z_{cm};

X_{5}= Z_{0}cosα_{3}+ X_{cm};

Y_{5}= Z_{0}cosβ_{3}+ Y_{cm};

Z_{5}= Z_{0}cosγ_{3}+ Z_{cm};

X_{6}= - Z_{0}cosα_{3}+ X_{cm};

Y_{6}= - Z_{0}cosβ_{3}+ Y_{cm};

Z_{6}= - Z_{0}cosγ_{3}+ Z_{cm};

where X_{cm}, Y_{cm}, Z_{cm}coordinates of the point corresponding to the position of the center of mass of the object;

cosα_{1}cosβ_{1}cosγ_{1}cosα_{2}cosβ_{2}cosγ_{2}cosα_{3}cosβ_{3}cosγ_{3}- direction cosines defining the aims is I the main Central axes of inertia of the object

where M is the mass of an object;

Jxo, Jyo, Jzo - principal Central moments of inertia of the object;

and thereby create a three-dimensional model of the object in the layout of the simulator, and then determine the mass-centering and inertial characteristics of the three-dimensional model of the object in the layout of the simulator.

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