JP4823864B2 - Air pool generation simulation apparatus and method - Google Patents

Description

  The present invention relates to an air pool generation simulation apparatus and method for analyzing whether or not an air pool is generated by comparing the heights of nodes arranged on a workpiece.

  Electrodeposition coating performed by immersing the body of an automobile in an electrodeposition bath filled with an electrodeposition solution can form a coating film substantially uniformly, and also coats the welded portion of the electrodeposited object There are advantages such as being able to. On the other hand, there is a drawback that air pockets called air pockets are formed on the convex portions such as the hood inner surface, roof inner surface and floor lower surface of the vehicle body, and a coating film cannot be formed on the portion where the air pockets are generated.

  In view of this, there has been proposed a method for determining whether or not an air pocket is generated when an object to be coated (work to be coated) is immersed in an electrodeposition tank (see, for example, Patent Document 1).

In this method, first, each surface of the workpiece to be painted is divided into an arbitrary number of triangular polygons (triangular elements) based on the vertex coordinate data, and the workpiece to be painted is input to each triangular polygon (triangular element). It is determined whether or not the surface portion can become an air pool when simulated immersion is performed in the immersion tank in the tank angle posture.
JP 2000-51750 A

  However, depending on such a method, it is necessary to calculate the state change between the air and the paint in the immersion tank for each triangular polygon (triangular element) divided into a plurality of parts, which complicates the calculation. For this reason, the load on the computer increases, and a huge amount of time is required for computation. Therefore, there is a limit to performing calculations using a general-purpose computer such as a personal computer, and there is a problem that lacks practicality. This method is effective when the shape of the workpiece to be analyzed is simple, but when the shape of the part that becomes the blind spot of the workpiece to be analyzed is complicated, an accurate analysis result is obtained. There is also a problem that it may not be obtained.

  Further, when analysis is performed using such a method, when non-uniform triangular polygons (triangular elements) as shown in FIG. 5 are used, an area that is determined as an air reservoir and an area that is determined as a liquid are displayed. The unevenness of the boundary line L3 indicated by the dotted line becomes steep and deviates from the interface generated during the actual dip coating, making it difficult to analyze in accordance with the actual dip coating.

  These problems occur not only in electrodeposition coating but also in general dip coating.

  An object of the present invention is to analyze the occurrence of air accumulation in a workpiece to be coated, and to derive the boundary between the liquid and air as a smooth one, and to create an air accumulation occurrence simulation device capable of performing simulation according to actual immersion coating and It is to provide a method.

In order to solve the above-described problem, an air pool generation simulation apparatus according to claim 1 is provided with an input unit that inputs shape data corresponding to a workpiece to be coated by immersion coating, and the coating target input by the input unit. A plurality of initial nodes are first arranged in the shape data on the surface of the workpiece, and attribute information of a predetermined initial node among the plurality of initial nodes is determined as liquid, and the attribute information is other than the initial node determined as liquid The attribute information of the initial node is set as air, the attribute information adjacent to the initial node determined to be liquid is compared with the height of the initial node set as air, and the attribute information is set as liquid. If the height of the determined initial node is higher than or equal to the height of the initial node set as air, the attribute information of the initial node set as air is determined as liquid. If the height of the initial node determined as the attribute information is liquid is lower than the height of the initial node set as air, the attribute information of the initial node set as air is the attribute information of the initial node set as air. By repeating the process of determining the attribute information adjacent to the initial node determined to be liquid until the attribute information of all the initial nodes set to air is determined , the occurrence of air pockets And a control means for analyzing presence / absence.
According to a second aspect of the present invention, in the air accumulation occurrence simulation apparatus according to the first aspect, the blind spot is obtained when the attribute information of the initial node is viewed from a line of sight above the horizontal of the workpiece. It is characterized in that the attribute information of the initial node located in a range that does not become a liquid is determined as liquid, and the attribute information of the initial node located in a range that becomes a blind spot is set as air.
The invention according to claim 3 is the air accumulation occurrence simulation device according to claim 1, wherein the attribute information of the initial node is attribute information of the initial node adjacent to the free edge of the workpiece. The liquid is determined, and the attribute information of the other initial nodes is set as air.

The invention described in Claim 4 is the air reservoir generator simulation apparatus according to any one of claims 1 to 3, wherein, the initial node the previous SL attribute information is determined with a liquid After all the attribute information of the initial nodes that are adjacent to each other is determined, a boundary point is arranged between the initial node that is determined as the attribute information as liquid and the initial node that is determined as air as the attribute information, and the boundary It is characterized by providing a boundary between a region determined to be liquid and a region determined to be air by connecting points.

The invention of claim 5 is the air reservoir generator simulation apparatus according to any one of claims 1 to 4, wherein, said after placement of the initial nodes placed on the coated workpiece Extracting a first connection node and a second connection node connected to an arbitrary common node and the common node from the plurality of initial nodes, a connection between the common node and the first connection node, and It is determined whether or not the angle θ between the common node and the second connection node is larger than a threshold θ1, and when the angle θ is larger than the threshold θ1, the first connection node and the second connection node An initial node is additionally arranged between the first connection node and the second connection node when the angle θ is smaller than the threshold θ1, and no additional arrangement of the initial node is performed. Features.

According to a sixth aspect of the present invention, in the air pocket generation simulation device according to the fifth aspect , when the control unit determines whether or not to add the initial node, the angle θ is smaller than the threshold θ1. Compares the angle θ with the threshold value θ2, determines whether the angle θ is smaller than the threshold value θ2, and determines that the angle θ is smaller than the threshold value θ2, the third connection node A connection between the first connection point and the common point, a connection between the first connection point and the common point, a connection between the fourth connection node and the common node, and a connection between the second connection point and the common point. When the node forming the connection forming a small angle is deleted from the first connection node or the second connection node, and the angle θ is determined to be larger than the threshold θ2. The first connection node or the second connection node That it does not also remove the shift, characterized by.

According to a seventh aspect of the present invention, in the air pool generation simulation device according to any one of the first to third aspects, the control means is secondary between the initial nodes in the adjacent relationship. A secondary node, which is a node to be arranged in, and after determining an initial node that is adjacent to the secondary node, the attribute information of a predetermined secondary node of the secondary nodes is determined as liquid, The attribute information of secondary nodes other than the secondary node determined to be liquid is set to air, and the attribute information adjacent to the initial node or the secondary node determined to be liquid is set to air. The height of the initial node or secondary node set to the above-mentioned attribute information is compared, and the height of the initial node or secondary node determined to be liquid is the initial node or secondary node where the attribute information is set to air. If it is higher than or equal to the height of the point The attribute information of the initial node or secondary node set as air is set as liquid, and the attribute information is set as the height of the initial node or secondary node determined as liquid. If the attribute information is lower than the height of the initial node or secondary node, the attribute information of the initial node or secondary node set as air is determined as air, and the attribute information is determined as the initial node or liquid. After all the attribute information of the initial node or the secondary node adjacent to the secondary node is determined, the initial node or the secondary node determined to be liquid and the initial node determined to be air is the attribute information. Alternatively, a boundary point is set between secondary nodes, and the boundary point is connected to provide a boundary between a region determined to be liquid and a region determined to be air.

The invention described in claim 8 is the air stagnation generation simulation apparatus according to any one of claims 1 to 7 , further comprising display means for displaying a dip coating simulation analysis process by the control means. It is characterized by being.

The air pool generation simulation method according to claim 9 is an air pool generation simulation method in which a computer analyzes whether or not an air pool is generated in a workpiece to be painted by immersion coating, and the shape data corresponding to the workpiece to be coated A step of first arranging a plurality of initial nodes in the shape data of the surface of the inputted workpiece, and determining attribute information of a predetermined initial node among the plurality of initial nodes as liquid Setting the attribute information of the initial node other than the initial node determined to be liquid as air, and setting the attribute information adjacent to the initial node determined to be liquid as air Comparing the height of the initial node determined, and the height of the initial node determined to be liquid as the attribute information is set as air as the attribute information. If the attribute information is higher than or equal to the height of the initial node, the attribute information of the initial node set to air is determined to be liquid, and the height of the initial node determined to be liquid is the attribute If the attribute information is lower than the height of the initial node set as air, the attribute information of the initial node set as air is determined as air, and the attribute information is adjacent to the initial node determined as liquid. It is determined whether or not the attribute information of all initial nodes set as air is determined as the attribute information in the relationship, and the comparison is terminated when it is determined that the attribute information of all the initial nodes is determined And a step .

The invention according to claim 10 is the air pool generation simulation method according to claim 9 , wherein the attribute information is determined after all the attribute information of the initial node adjacent to the initial node determined to be liquid is determined. An area where a boundary point is arranged between an initial node determined to be liquid and an initial node where the attribute information is determined to be air, and an area determined to be liquid and an area determined to be liquid by connecting the boundary points The method further includes the step of providing a boundary.

The invention according to claim 11 is the air pool generation simulation method according to claim 9 or claim 10 , wherein after the initial nodes arranged on the workpiece, any of the plurality of initial nodes is selected. The first connection node and the second connection node connected to the common node and the common node are extracted, the connection between the common node and the first connection node, and the connection between the common node and the second connection node. and line cormorant step angle θ is a threshold value θ1 is larger than determination of whether to make, if the angle θ is larger than the threshold value θ1, add an initial node between the first connection node said second connection node And when the angle θ is smaller than the threshold θ1, the method further comprises a step of not performing an additional placement of an initial node between the first connection node and the second connection node. .

According to a twelfth aspect of the present invention, in the air pool generation simulation method according to the eleventh aspect , when the angle θ is smaller than the threshold θ1, the angle θ is determined when determining whether or not to add the initial node. compared to said threshold value .theta.2, the angle θ and the line cormorants step smaller determines whether than the threshold .theta.2, when the angle θ is determined to the threshold .theta.2 smaller than, the same as the third connection node A connection with a node, an angle between the first connection point and the common point, a connection between a fourth connection node and the common node, and an angle between the second connection point and the common point. , And deleting the node forming the connection forming a small angle from the first connection node or the second connection node, and determining that the angle θ is larger than the threshold θ2, Either one connection node or the second connection node Further comprising: the step is not performed even deletion of a.

The invention according to claim 13 is the method of simulating the occurrence of air accumulation according to claim 9 , wherein the step of arranging secondary nodes that are nodes arranged secondarily in the middle of the initial nodes in the adjacent relationship; After defining an initial node that is adjacent to the secondary node, the attribute information of a predetermined secondary node of the secondary nodes is determined to be liquid, and the attribute information is other than the secondary node determined to be liquid The attribute information of the secondary node is set to air, and the attribute information that is determined to be liquid is adjacent to the initial node or the secondary node.The attribute information that is adjacent to the secondary node is set to air. comparing the said case attribute information the height of the initial node or secondary node which is determined with a liquid is higher than or equal to the height of the initial node attribute information is set with air or secondary nodes are the Attribute information on air A step set the attribute information of the initial node or secondary node determines that the liquid, the initial node the initial node or the height of the secondary nodes and the attribute information is determined to liquid the attribute information is set to air Alternatively, when the height of the secondary node is lower than the height of the secondary node, the step of determining the attribute information of the initial node or the secondary node as air as the attribute information and the initial node or secondary node as the attribute information of liquid After all the attribute information of the initial node or secondary node adjacent to the point is determined, the initial node or secondary node determined to be liquid and the attribute information to the initial node or second determined to be air The method further includes the step of providing a boundary point between the next nodes and connecting the boundary point to provide a boundary between the region determined to be liquid and the region determined to be air.

The invention described in claim 14 is the method of simulating the occurrence of air stagnation according to any one of claims 9 to 13 , further comprising a step of displaying a simulation analysis process of the immersion coating on a display. To do.

According to the invention described in claim 1 or claim 9 , it is possible to easily analyze whether or not the air pool is generated, and it is determined that the air pool is generated in the work to be coated. In this case, it is possible to derive the air reservoir by smoothing the boundary between the liquid and air, and by accurately deriving the boundary surface between the liquid and air as described above, the air reservoir volume can be accurately obtained by the method of determining the volume of the air reservoir. be able to. And by accurately determining the volume of the air reservoir, it is possible to accurately derive the volume of the air reservoir that can be generated when the direction of gravity is changed, that is, when the posture of the workpiece to be coated is changed in the paint tank. It becomes possible.

Further, according to the invention described in claim 1 or claim 9 , since the analysis is limited to node attribute information and the like, the amount of calculation is reduced because the amount of data required for the simulation is small, and the computer The load on is reduced. As a result, simulation results can be obtained more quickly than in the past. Further, since the amount of calculation is small, calculation using a general-purpose computer such as a personal computer is possible and practical.

According to the invention described in claim 4 or claim 10 , the interface between the liquid and air can be derived as a smoother surface as compared with the conventional method.

According to the invention described in claim 5 or claim 11 , in order to add an initial node after determining whether or not to add an initial node under a predetermined standard, a smoother boundary surface is formed. Can be derived.

According to the invention described in claim 6 or claim 12 , in order to delete the initial node after determining whether or not to delete the initial node under a predetermined standard, a smoother boundary surface is formed. Can be derived.

According to the invention described in claim 7 or claim 13 , the boundary point is arranged at an intermediate position between the initial node set with attribute information as liquid and the initial node set with attribute information as air, and the boundary point Is connected to derive the boundary line between the liquid and air, so that the boundary point can be derived as a smooth one.

According to the invention described in claim 8 or claim 14 , the simulation analysis process of the work to be coated can be confirmed, and if an air pool or a liquid pool is generated in any position of the work to be coated, the position Therefore, the efficiency of subsequent design work and the like can be increased.

(First embodiment)
The first embodiment will be described below with reference to the drawings. The invention according to the present embodiment is not limited to the illustrated example.

  FIG. 1 is a block diagram showing an embodiment of an air pool generation simulation apparatus 1 for performing immersion coating analysis on the workpiece.

  As shown in FIG. 1, an air pocket generation simulation apparatus 1 according to the present embodiment includes a CPU 2, a ROM 3 that functions as a storage area or a work area of the CPU 2, and various programs for executing the invention according to the present embodiment, for example. And a control unit 5 comprising a RAM 4 in which data to be analyzed and the like are stored, a keyboard 6 as an input means, a keyboard controller 9 for controlling the keyboard 6, a display 10 as a display means, and a display 10, a display controller 11 that controls 10, a hard disk drive (HDD) 12, a flexible disk drive (FDD) 13, a disk controller 14 that controls the HDD 12 and FDD 13, and a network interface for connection to the network 15. And the controller 16 is configured to be communicably connected to each other via a system bus 19.

  The CPU 2 comprehensively controls each component connected to the system bus 19 by executing software stored in the ROM 3 or the hard disk drive 12 or software supplied from the flexible disk drive 13. That is, the CPU 2 reads a processing program from the ROM 3, the hard disk drive 12, or the flexible disk drive 13 according to a predetermined processing sequence, and executes the processing program to analyze the object to be painted according to the present embodiment 1. The control for realizing the operation is performed.

  Specifically, as shown in FIG. 2, the workpiece to be coated is a vehicle body 20 or the like of an automobile configured by joining a plurality of vehicle body panels to each other by welding or the like. The distribution of the electrodeposition liquid and the air during the electrodeposition coating of the body 20 is numerically analyzed to simulate the occurrence of air accumulation. Here, the painting line of the vehicle body will be briefly described with reference to FIG.

  The vehicle body 20 is transported in a substantially horizontal direction on the painting line while being mounted on the hanger of the transport device 21. In the painting line, as a pretreatment for electrodeposition coating, the body panel is subjected to treatments such as degreasing, water washing, surface adjustment, film formation, water washing and the like. After these processes, the vehicle body 20 descends toward the electrodeposition tank 22 and moves substantially horizontally while being immersed in the electrodeposition liquid 23. In this state, paint is deposited on the vehicle body panel by applying a voltage to the vehicle body 20 and electrodes (not shown) in the electrodeposition tank 22. Thereafter, the vehicle body 20 is pulled up from the electrodeposition tank 22 by the transfer device 21, and the electrodeposition liquid 23 adhering to the vehicle body panel without being electrodeposited is removed by washing.

  The control unit 5 reads the shape data of the workpiece to be analyzed from the hard disk drive 12 and constructs a three-dimensional numerical calculation model. In the present embodiment, as shown in FIG. 3, a workpiece α to be coated having a rectangular cross section with a rectangular cross section and having an opening H is used.

  Further, the control unit 5 arranges a plurality of nodes on the surface of the workpiece α to be coated (hereinafter referred to as “initial node a”). The initial node a is a node that is first arranged in a state where no nodes are arranged on the surface of the workpiece α to be coated. There is no limitation in particular in the method of arrange | positioning on the surface of the to-be-coated workpiece | work (alpha), It can arrange | position by arbitrary methods. As a method for arranging nodes on the surface of the workpiece α to be coated, for example, after dividing the surface of the workpiece α to be two-dimensional, the vertexes of the elements formed on the surface of the workpiece α are nodes. There is a way. Here, the shape of the element to be divided is not particularly limited, and may be a triangle or a quadrangle.

  Further, the control unit 5 extracts the X, Y, Z coordinate values of the initial nodes a arranged on the surface of the workpiece α, and the extracted X, Y, Z coordinate values of the initial nodes a are, for example, The data is stored in the hard disk drive 12.

  Moreover, the control part 5 attaches | subjects a serial number to the initial node a arrange | positioned on the surface of the workpiece (alpha) to be coated. There is no particular limitation on the method of assigning serial numbers. For example, the serial numbers are assigned to the initial nodes a according to a predetermined criterion using the X, Y, and Z coordinate values of the initial nodes a stored in the hard disk drive 12, for example. It is good also as attaching.

  Moreover, the control part 5 sets the connection of the initial nodes a arrange | positioned on the surface of the to-be-coated workpiece (alpha), ie, the adjacent relationship of the initial nodes a. The adjacency relationship refers to a relationship to be compared in determining the attribute information of the initial node a, and does not perform comparison between nodes that are not adjacent. There is no particular limitation as to which initial nodes a are adjacent to each other. As described above, after dividing the surface of the work α to be painted into two-dimensional elements and then arranging the nodes using the method of setting the vertices of the elements formed on the surface of the work α to be coated, Among the arranged initial nodes a, the initial nodes a connected by the sides constituting the element are set to be adjacent to each other.

  Moreover, the control part 5 determines the gravity direction G at the time of analyzing.

  In addition, the control unit 5 sets initial conditions for the initial node a, that is, assigns attribute information to each initial node a. For example, when the workpiece α to be coated is immersed in the coating tank β in the posture as shown in FIG. 3, the workpiece α is positioned in a range that becomes a blind spot when the workpiece α is viewed from above the horizontal line of sight. The attribute information of the initial node a is set to air, that is, the physical quantity ε = 0. Further, the attribute information of the initial node a located in the range where the blind spot is not formed is determined as liquid, that is, the physical quantity ε = 1.

  As another method of assigning attribute information to each initial node a, the attribute information of the initial node a adjacent to the free edge of the workpiece α to be coated is determined to be liquid, that is, the physical quantity is ε = 1, There is a method of setting the attribute information of the initial node a as air, that is, the physical quantity ε = 0. The free edge means an edge portion of the workpiece α, that is, an end portion of the workpiece α and an edge portion of a hole formed in the workpiece α.

  Further, the control unit 5 sets the attribute information as liquid, that is, the attribute information adjacent to the initial node a in which the physical quantity is determined to be ε = 1, as air, that is, the initial node a in which the physical quantity is set as ε = 0. Comparison is made with the position in the direction opposite to the gravity direction as the height. If the height of the initial node a whose attribute information is liquid is higher than or equal to the height of the initial node a set as air, the attribute information of the initial node a set as air is liquid That is, the physical quantity is changed to ε = 1, and the attribute information of the initial node a is determined to be liquid, that is, ε = 1.

  On the other hand, when it is determined that the height of the initial node a in which the attribute information is determined to be liquid is lower than the height of the initial node a in which the attribute information is set to air, the attribute information is set to air. The attribute information of the initial node a is air, that is, the physical quantity is determined to be ε = 0.

  If there are a plurality of initial nodes a that are determined to be liquid, the attribute information that is adjacent to the initial node a in which the attribute information is set to air is compared with all the initial nodes a. And when there is an initial node a in which attribute information determined to be at least one higher or equal to the initial node a in which the attribute information is air among those initial nodes a is determined as liquid, The attribute information of the initial node a in which the attribute information is air is changed to liquid, and the attribute information of the initial node a is determined to be liquid, that is, the physical quantity is ε = 1.

  In addition, the control unit 5 compares the initial node a in which the attribute information is determined to be liquid and the initial node a in which the attribute information is set to air in an adjacent relationship with the initial node a in which the attribute information is determined to be liquid. The process is repeated until the attribute information of all the initial nodes a is determined.

  Further, as described above, the initial node a in which the attribute information is determined to be liquid is compared with the initial node a in which the attribute information is determined to be air, and the height of the initial node a in which the attribute information is determined to be liquid is the attribute If the information is higher than or equal to the height of the initial node a set as air, the attribute information of the initial node a determined to be air is changed to liquid, and the attribute information is determined as liquid, etc. This determination is made because the specific gravity of the liquid is larger than the specific gravity of air.

  Further, the control unit 5 determines the boundary surface between the liquid and air. In clarifying the boundary surface between the liquid and air, as shown in FIG. 4, the attribute information adjacent to the initial node a indicated by a black circle determined to be liquid is indicated by a white circle determined to be air. A boundary point J with a diagonal line inside is arranged at a predetermined position on the line L1 connecting the initial nodes a. The position where the boundary point J is arranged is not particularly limited. For example, the distance from the node where the attribute information is determined to be liquid to the boundary point J and the distance from the boundary point J to the initial node a where the attribute information is determined to be air. The boundary point J is arranged so that the distance ratio is 5: 5 or 6: 4. Then, the boundary points J are connected to each other, and an isoline L2 indicated by a dotted line is drawn. The control unit 5 recognizes that the isoline L2 is the boundary between the liquid and air, and if the area where the initial node a where the attribute information is determined to be liquid from L2 is a liquid, It is determined that the region has been dipped. In addition, if the area on the side where the initial node a is determined to be air from the isoline L2 is air, that is, the area where the immersion coating is not performed and the air pool is generated. It comes to judge.

  In this way, by drawing the isoline L2, the attribute information as shown in FIG. 5 is derived by connecting the attribute information adjacent to the node determined to be air and the nodes determined to be liquid to each other. The boundary line is smoother than the boundary line L <b> 3 shown in FIG. 5, and the boundary line is obtained by approximating the boundary line between liquid and air in actual coating.

  In the present embodiment, necessary data is input by operating the keyboard 6, but a mouse, a scanner, an external connection terminal, or the like may be used to input necessary data. .

  The display 10 displays a simulation analysis process and an analysis result for the workpiece α to be coated.

  The hard disk drive 12 stores data necessary for analysis. Here, the data necessary for the analysis are, for example, the X, Y, Z coordinate values, the magnitude of the physical quantity ε, the gravity direction G, and the shape data of the workpiece α to be coated defined in the analysis region. Is mentioned.

  The hard disk drive 12 may use a writable nonvolatile recording medium such as a hard disk device, a magneto-optical disk device, or a flash memory provided outside the air pocket generation simulation device 1 as the hard disk drive 12.

  Moreover, the shape data of the workpiece α to be coated may be directly input via the keyboard 6, and is provided in another computer connected to the external connection terminal via a communication means such as a LAN (not shown). You may make it read from a memory | storage device (not shown).

  Below, with reference to the flowchart of FIG. 6, the effect | action of the air pocket generation | occurrence | production simulation apparatus 1 which concerns on this embodiment is explained in full detail.

  First, the shape data of the work to be painted α associated with the control unit 5 is input from the keyboard 6 (step S1).

  Next, a plurality of initial nodes a, a... Are arranged on the surface of the workpiece α to be coated (step S2). In disposing the initial nodes a, a... On the surface of the workpiece α, first, the surface of the workpiece α is divided into two-dimensional elements. And let the vertex of the element formed in the surface of the to-be-coated work (alpha) be the initial nodes a, a .... Next, the X coordinate value, the Y coordinate value, and the Z coordinate value of each initial node a are extracted (step S3), and each initial node a, a. Are given serial numbers (step S4).

  Next, the connection between the initial nodes a arranged on the surface of the workpiece α to be coated, that is, the setting of the adjacent relationship between the initial nodes a is performed (step S5). Here, among the arranged initial nodes a, the initial nodes a connected by the sides constituting the element are set to be adjacent to each other. Then, the gravity direction G is determined (step S6). Here, for example, the Z coordinate axis is the height direction of the gravity direction G.

  Next, initial conditions for the initial node a are set (step S7). The initial condition is set, that is, the attribute information of the initial node a is determined by determining that the attribute information of the initial node a adjacent to the free edge of the workpiece α is liquid, that is, the physical quantity is ε = 1. The attribute information of the node is set to air, that is, the physical quantity ε = 0.

  Next, the control unit 5 starts a comparison between the initial node a in which the attribute information is determined to be liquid and the initial node a in which the attribute information is set to air (step S8).

  In performing the comparison, the height in the Z direction of the initial node a set as the attribute information adjacent to the initial node determined to be liquid as the attribute information is compared as air. If the height of the initial node a determined to be attribute information liquid is higher than or equal to the height of the initial node a set to attribute information air, the attribute information of the initial node a set to air attribute information Is changed to the liquid, that is, the physical quantity ε = 1, and the attribute information of the initial node a is determined to be the liquid.

  On the other hand, when it is determined that the height of the initial node a determined as the attribute information liquid is lower than the height of the initial node a set as the attribute information air, the attribute information is set as air. The attribute information of the initial node a is determined to be air, that is, the physical quantity is ε = 0.

  Then, it is determined whether or not the attribute information of all the initial nodes a that are adjacent to the initial node a determined to be liquid is determined (step S9). When it is determined that the attribute information has not been determined for all the initial nodes a (NO), the attribute information is set to air, and the smallest number among the initial nodes a for which attribute information has not been determined. The initial node a marked with is compared with the initial node a whose attribute information is determined to be liquid (step S8).

  If it is determined that the attribute information has been determined for all the initial nodes a that are adjacent to the initial node a determined to be liquid (YES), the comparison ends, and the control unit 5 As part of the process, the boundary surface between the liquid and air is determined (step S10).

  In clarifying the boundary surface between the liquid and air, as shown in FIG. 4, a line connecting the attribute information having the attribute information adjacent to the initial node a determined as liquid and the initial node a determined as air. A boundary point J is arranged at a predetermined position on L1. For the boundary point J, the ratio of the distance from the initial node a determined to have liquid attribute information to the boundary point J and the distance from the boundary point J to initial node a determined to have air as the attribute information is 5: 5. Arrange so that. Then, as shown in FIG. 4, an isoline L2 indicated by a dotted line connecting the boundary points J is drawn. The control unit 5 recognizes that the isoline L2 is a boundary between the liquid and air, and determines that the region on the side where the initial node a where the attribute information is determined to be liquid from the isoline L2 is liquid is liquid. That is, it is determined that the region has been subjected to dip coating. Further, it is determined that the area on the side where the initial node a in which the attribute information is determined to be air from the isoline L2 is the air, that is, the area where the air pocket is generated. The simulation analysis result is displayed on the display 10. Thereafter, the analysis ends (END).

  As described above, according to the invention according to the present embodiment, it is possible to easily analyze whether or not an air pool occurs in the workpiece α to be coated.

  Further, the isoline L2 shown in FIG. 4 is derived by connecting the attribute information shown in FIG. 5 to the initial node a determined to be the air, and the attribute information adjacent to the initial node a determined to be the liquid connected to each other. The unevenness is smoother than the boundary line L3. That is, by using the isoline L2 shown in FIG. 4 as a boundary line, a boundary line that approximates the boundary line between liquid and air in actual coating can be obtained.

  In addition, it is good also as calculating | requiring the air volume of an air reservoir by a usual method based on the simulation analysis result of the air reservoir obtained by implementing invention based on this Embodiment. At that time, it is possible to derive an accurate volume of the air reservoir by deriving the interface between the liquid and air as smooth as described above.

  In addition, by determining the exact volume of the air reservoir, it is possible to accurately determine the volume of the air reservoir that can be generated when the direction of gravity is changed, that is, when the posture of the workpiece to be coated is changed in the paint tank. It can be derived. The same applies to the following embodiments.

(Second embodiment)
Hereinafter, a second embodiment will be described with reference to the drawings. In addition, about 2nd embodiment, the description about a common part with 1st embodiment shall be abbreviate | omitted, and a different part from 1st embodiment shall be explained in full detail.

  The control unit 5 adds or deletes the initial node a. There is no restriction on the method of adding or deleting the initial node a. Examples of the method for adding the initial node a include the following. The “node” in the present embodiment means the initial node a, and the common node X, the first connection node A, the second connection node B, the node C, the third connection node D, and the fourth connection node E are also included. Each is an initial node a.

  In this method, first, as shown in FIG. 7A, two nodes connected to a common node X (hereinafter referred to as “common node X”) and the common node X, that is, adjacent to each other are connected. (Hereinafter, the above-mentioned two nodes connected to the common node X are referred to as “first connection node A” and “second connection node B”, respectively). In the region between the first connection node A and the second connection node B, there is a relationship in which there is no node adjacent to the common node X.

  As shown in FIG. 7A, for the angle θAB formed by the connection XA between the common node X and the first connection node A and the connection XB between the common node X and the second connection node B, the angle θAB is greater than the threshold value θ1. Judge whether it is large or not. When it is determined that the angle θAB is larger than the threshold value θ1, the node C is newly arranged between the first connection node A and the second connection node B. At this time, the node C is arranged at a position where the connection line XC between the common node X and the node C bisects the angle θAB, and the node C is a node adjacent to the common node X. .

  When it is determined that the angle θAB is smaller than the threshold θ1, the angle θAB is compared with the threshold θ2. When it is determined that the angle θAB is smaller than the threshold θ2, either the first connection node A or the second connection node B is deleted.

  As a method of deleting the initial node a, for example, as shown in FIG. 7B, the node is connected to the common node X and closer to the first connection node A than the second connection node B. In the region between the first connection nodes A, a connection line XD and a connection line XA between the node D without the initial node a adjacent to the common node X (hereinafter referred to as “third connection node D”) and the common node X are formed. Measure the angle θAD.

  Next, the first node is connected to the common node X, is closer to the first connection node B than the first connection node A, and is adjacent to the common node X in the region between the node and the second connection node B. The angle θBE formed by the connection XE and the connection XB between the node E without the node a (hereinafter referred to as “fourth connection node E”) and the common node X is measured.

  Then, the magnitudes of the angle θAD and the angle θBE are compared, and one of the first connection node A and the second connection node B that forms a connection with a small angle is deleted. In FIG. 7B, for example, when the angle θBE is smaller, the second connection node B is deleted.

  And the control part 5 performs this operation | work about all the nodes arrange | positioned on the to-be-painted workpiece | work (alpha), and it adds or removes the initial node a until it judges that it is not necessary to add or delete about all the nodes. Deletion work is to be done.

  The threshold value θ1 and the threshold value θ2 are arbitrary values, and the threshold value θ1 and the threshold value θ2 are not particularly limited except that the threshold value θ2 is a value equal to or less than half of the threshold value θ1.

  Below, with reference to the flowchart of FIG.8 and FIG.9, the effect | action of the air pocket generation | occurrence | production simulation apparatus 1 which concerns on this embodiment is explained in full detail.

  First, the shape data of the work to be painted α that is associated with the control unit 5 is input from the keyboard 6 (step S11).

  Next, a plurality of initial nodes a, a... Are arranged on the surface of the workpiece α to be coated (step S12). In disposing the initial nodes a, a... On the surface of the workpiece α, first, the surface of the workpiece α is divided into two-dimensional elements. And let the vertex of the element formed in the surface of the to-be-coated work (alpha) be the initial nodes a, a ....

  Next, the connection between the initial nodes a arranged on the surface of the workpiece α to be coated, that is, the setting of the adjacency relationship between the initial nodes a is performed (step S13). Here, among the arranged initial nodes a, the initial nodes a connected by the sides constituting the element are set to be adjacent to each other. Then, the gravity direction G is determined (step S14). Here, for example, the Z coordinate axis is the height direction of the gravity direction G.

  Then, it is determined whether or not an additional condition for the initial node a is satisfied (step S15). In determining whether or not to add the initial node a, first, the first connection node A and the second connection node B connected to the arbitrary common node X and the common node X are extracted. Then, as shown in FIG. 7A, it is determined whether or not the angle θAB formed by the connection XA and the connection XB is larger than the threshold θ1. If it is determined that the angle θAB is greater than the threshold θ1 (YES), a node C is newly added between the first connection node A and the second connection node B (step S16). At this time, the node C is arranged at a position where the connection XC bisects the angle θAB, and the node C is set to be adjacent to the common node X.

  If it is determined in step S15 that the angle θAB is smaller than the threshold θ1, and the additional condition is not satisfied for either the first connection node A or the second connection node B (NO), the deletion condition for the initial node a is satisfied. It is determined whether or not it has been done (step S17). In making this determination, the angle θAB is compared with the threshold value θ2. When it is determined that the angle θAB is smaller than the threshold θ2, and the deletion condition of either the initial node a, that is, the first connection node A or the second connection node B is satisfied (YES), the first connection node A Alternatively, any one of the second connection nodes B is deleted (step S18).

  In performing the deletion, as shown in FIG. 7B, the angle θAD formed by the connection XD and the connection XA and the angle θBE formed by the connection XE and the connection XB are compared, and the first connection node A and the second connection are compared. One of the nodes forming a connection line forming a small angle among the nodes B is deleted.

  When the process of adding the node C is performed in step S16, it is determined in step S17 that the angle θAB is larger than the threshold value θ2, and it is determined that neither the first connection node A nor the second connection node B should be deleted. (NO), or after performing the process of deleting either the first connection node A or the second connection node B in step S18, the initial node a is added to or deleted from all the initial nodes a. It is determined whether or not it should have been determined (step S19).

  If it is determined that the determination has not yet been completed for all initial nodes a (NO), it is determined whether or not the initial node a should be added by extracting the initial node a for which determination has not been performed. This is performed (step S15).

  When it is determined that the determination has been completed for all the initial nodes a (YES), the X coordinate value, the Y coordinate value, and the Z coordinate value of each initial node a are extracted (step S20), and each initial node a , A... Are assigned serial numbers to the initial nodes a, a.

  Then, initial conditions for the initial node a are set (step S22). The initial condition is set, that is, the attribute information of the initial node a is determined by determining that the attribute information of the initial node a adjacent to the free edge of the workpiece α is liquid, that is, the physical quantity is ε = 1. The attribute information of the initial node a is set to air, that is, the physical quantity ε = 0.

  Then, the control unit 5 compares the initial node a determined to have the attribute information liquid and the initial node a set to the attribute information air (step S23).

  In performing the comparison, the height in the Z direction of the initial node a set as the attribute information adjacent to the initial node a determined to be liquid as the attribute information is compared as air. If the height of the initial node a determined to be attribute information liquid is higher than or equal to the height of the initial node a set to attribute information air, the attribute information of the initial node a set to air attribute information Is changed to the liquid, that is, the physical quantity ε = 1, and the attribute information of the initial node a is determined to be the liquid, that is, the physical quantity ε = 1.

  On the other hand, when it is determined that the height of the initial node a determined as the attribute information liquid is lower than the height of the initial node a set as the attribute information air, the attribute information is set as air. The attribute information of the initial node a is determined to be air, that is, the physical quantity is ε = 0.

  Then, it is determined whether or not the attribute information of all initial nodes a that are adjacent to the initial node a determined to be liquid is determined (step S24). If it is determined that the attribute information has not been determined for all the initial nodes a (NO), the initial node a in which the attribute information is determined to be liquid and the initial node a in which the attribute information is set to air are determined. Comparison is performed (step S23).

  If it is determined that the attribute information has been determined for all the initial nodes a that are adjacent to the initial node a determined to be liquid (YES), the comparison ends, and the control unit 5 As part of the process, the boundary surface between the liquid and air is determined (step S25).

  In order to clarify the boundary surface between the liquid and air, the boundary point is arranged on a line connecting the attribute information adjacent to the node determined to be liquid and the attribute information adjacent to the node determined to be air. The boundary points are arranged so that the ratio of the distance from the initial node a determined as the attribute information to the boundary point J to the boundary point J and the distance from the boundary point J to the node determined as the attribute information as air is 5: 5. To do. Then, an isoline L2 is drawn connecting the boundary points J. The control unit 5 recognizes that the isoline is the boundary between the liquid and air, and if the area on the side where the initial node a where the attribute information is determined to be liquid from the isoline L2 is liquid is liquid. That is, it is determined that the region has been dipped. Further, it is determined that an air pool has occurred in the region where the initial node a where the attribute information is determined to be air from the isoline L2 is present. The simulation analysis result is displayed on the display 10. Thereafter, the analysis ends (END).

  As described above, according to the present embodiment, by adding or deleting an initial node, a smoother boundary line between a region determined as liquid and a region determined as air can be derived. .

(Third embodiment)
The third embodiment will be described below with reference to the drawings. In addition, about 3rd embodiment, the description about a common part with 1st embodiment shall be abbreviate | omitted, and a different part from 1st embodiment shall be explained in full detail.

  The controller 5 adds a node. In adding a node, as shown in FIG. 10, a node is secondarily separated from the initial node a on the connection line connecting the initial nodes a, that is, in the middle of the adjacent initial nodes a. An additional node is arranged (hereinafter, the added node is referred to as “secondary node b”).

  The secondary node b is set to be adjacent to the initial nodes a and a arranged at both ends on the connection line where the secondary node b is arranged. In addition, the secondary node b is included in the element including the initial nodes a and a that are set to be adjacent to each other, and is on the connection line or extension of the secondary node b. It is set to be adjacent to the initial node a located on the line intersecting the line. In the present embodiment, the adjacent relationship refers to a relationship that is to be compared in determining the attribute information of the initial node a or the secondary node b, and is to compare nodes that are not adjacent to each other. There is no.

  For example, in the triangular element Q shown in FIG. 11A, the secondary node b1 is adjacent to the initial node a3, the secondary node b2 is adjacent to the initial node a1, and the secondary node b3 is adjacent to the initial node a2. It is set up. In the rectangular element R shown in FIG. 11B, the secondary node b4 is the initial nodes a6 and a7, the secondary node b5 is the initial nodes a4 and a7, and the secondary node b6 is the initial nodes a4 and a5. The secondary node b7 is set to be adjacent to the initial nodes a5 and a6.

  Further, the control unit 5 extracts the X, Y, Z coordinate values of each secondary node b arranged on the surface of the workpiece α to be coated, and uses the extracted X, Y, Z coordinate values of each secondary node a. For example, it is stored in the hard disk drive 12.

  Moreover, the control part 5 attaches | subjects a serial number to the initial node a and the secondary node b which were arrange | positioned on the surface of the to-be-coated workpiece | work (alpha). In addition, when attaching a serial number, the initial node a and the secondary node b are not distinguished, and each is attached on the same basis. Therefore, after a certain initial node a is numbered, the subsequent number is assigned to the secondary node b, or after the secondary node b is numbered, the subsequent number is assigned to the initial node a. There is a case.

  There is no particular limitation on the method of assigning serial numbers. For example, the initial node a and the initial node a and the secondary node b using the X, Y, and Z coordinate values stored in the hard disk drive 12 according to a predetermined criterion may be used. It is good also as giving a serial number to the secondary node b.

  Further, the control unit 5 sets initial conditions of the secondary nodes b, that is, assigns attribute information to the secondary nodes b, b. For example, when the workpiece α to be coated is immersed in the coating tank β in the posture as shown in FIG. 3, the workpiece α is positioned in a range that becomes a blind spot when the workpiece α is viewed from above the horizontal line of sight. The attribute information of the secondary node b is set to air, that is, the physical quantity ε = 0. In addition, the attribute information of the secondary node b located in the range that does not become the blind spot is determined as the liquid, that is, the physical quantity ε = 1.

  As another method for assigning attribute information to each secondary node b, b..., The attribute information of the secondary node b adjacent to the free edge of the work α to be coated is liquid, that is, the physical quantity is ε = There is a method of determining 1 and setting the attribute information of another secondary node b as air, that is, the physical quantity ε = 0.

  Further, the control unit 5 sets the attribute information as liquid, that is, the secondary node b or the initial node a whose physical quantity is determined to be ε = 1, and the attribute information adjacent to the initial node a is set as the initial node a or the secondary node. Comparison is made with the position of the point b in the direction opposite to the gravity direction as the height. If the height of the secondary node b or the initial node a determined to be liquid is higher than or equal to the height of the initial node a or the secondary node b set to be air, the attribute information is air. The attribute information of the initial node a or the secondary node b set as follows is changed to liquid, that is, the physical quantity ε = 1, and the attribute information of the initial node a or the secondary node b is determined to be liquid, that is, ε = 1. To do.

  On the other hand, it was determined that the height of the secondary node b or the initial node a in which the attribute information is determined to be liquid is lower than the height of the secondary node b or the initial node a in which the attribute information is set to air. In this case, the attribute information of the secondary node b or the initial node a in which the attribute information is set to air is determined to be air, that is, the physical quantity ε = 0.

  In addition, when there are a plurality of initial nodes a that are determined to be liquid, the attribute information that is adjacent to the secondary node b in which the attribute information is set to air is compared with all the initial nodes a. If one of the initial nodes a includes an initial node a whose attribute information is higher than or equal to the secondary node b whose attribute information is air, the secondary node b whose attribute information is air The attribute information is changed to liquid, and the attribute information of the secondary node b is determined to be liquid, that is, the physical quantity is ε = 1.

  Further, the control unit 5 compares the attribute information with the liquid in the initial node a or the secondary node b in which the attribute information is determined to be liquid and the initial node a or the secondary node b in which the attribute information is set to air. The process is repeated until the attribute information of all the initial nodes a or secondary nodes b adjacent to the determined initial node a or secondary nodes b is determined.

  Note that the control unit 5 does not set an adjacency relationship between the secondary nodes b. Therefore, in determining the attribute information of the secondary node b in which the attribute information is set to air, the attribute information is not compared with the secondary node b determined to be liquid.

  Below, with reference to the flowchart of FIG. 12, the effect | action of the air pocket generation | occurrence | production simulation apparatus 1 which concerns on this embodiment is explained in full detail.

  First, the shape data of the work to be coated α associated with the controller 5 is input from the keyboard 6 (step S31).

  Next, a plurality of initial nodes a, a... Are arranged on the surface of the workpiece α to be coated (step S32). In disposing the initial nodes a, a... On the surface of the workpiece α, first, the surface of the workpiece α is divided into two-dimensional elements. And let the vertex of the element formed in the surface of the to-be-coated work (alpha) be the initial nodes a, a ....

  Next, the connection between the initial nodes a arranged on the surface of the work α to be coated, that is, the setting of the adjacent relationship between the initial nodes a is performed (step S33). Here, among the arranged initial nodes “a”, the initial nodes “a” connected by the sides constituting the elements are set as adjacent to each other.

  Then, the secondary node b is arranged between the initial nodes a that are adjacent to each other (step S34). At that time, the adjacent relationship between the arranged secondary node and the initial node a is also set.

  Next, the X coordinate value, Y coordinate value, and Z coordinate value of each of the initial nodes a, a... And the secondary nodes b, b... Are extracted (step S35), and each initial value is based on the extracted coordinate values. A serial number is assigned to the nodes a, a... And the secondary nodes b, b. Then, the gravity direction G is determined (step S37). Here, for example, the Z coordinate axis is the height direction of the gravity direction G.

  Next, initial conditions for the initial node a and the secondary node b are set (step S38). The initial condition is set, that is, the attribute information of the initial node a and the secondary node b is determined by setting the attribute information of the initial node a and the secondary node b adjacent to the free edge of the workpiece α to be liquid, The physical quantity is determined to be ε = 1, and the attribute information of the other initial nodes a and secondary nodes b is set to air, that is, the physical quantity ε = 0.

  Then, the initial node a or secondary node b determined to have the attribute information as liquid and the initial node a or secondary node b set to have the attribute information as air are compared (step S39).

  In performing the comparison, the attribute information adjacent to the initial node a or the secondary node b determined to be liquid as the attribute information is the height in the Z direction of the initial node a or the secondary node b set as air. Make a comparison. When the height of the initial node a or the secondary node b determined as the attribute information is liquid is higher than or equal to the height of the initial node a or the secondary node b set as the attribute information as air, the attribute information is set as air. The attribute information of the initial node a or the secondary node b set as follows is changed to liquid, that is, the physical quantity ε = 1, and the attribute information of the initial node a or the secondary node b is changed to liquid, that is, the physical quantity ε = 1. decide.

  On the other hand, it is determined that the height of the initial node a or the secondary node b determined as the attribute information liquid is lower than the height of the initial node a or the secondary node b set as the attribute information air. In this case, the attribute information of the initial node a or the secondary node b in which the attribute information is set to air a is determined to be air, that is, the physical quantity is set to ε = 0.

  Then, it is determined whether or not the attribute information of all the initial nodes a or secondary nodes b adjacent to the initial node a or the secondary node b determined to be liquid is determined (step S40). . If it is determined that the attribute information has not been determined for all the initial nodes a or secondary nodes b (NO), the attribute information is set to the initial node a or the secondary node b determined to be liquid. The air is compared with the set initial node a or secondary node b (step S39).

  When it is determined that the attribute information of all initial nodes a or secondary nodes b adjacent to the initial node a or secondary node b determined to be liquid is determined (YES), the comparison is finished Then, the process proceeds to post processing, and the boundary surface between the liquid and air is determined (step S41).

  In clarifying the boundary surface between the liquid and air, the boundary node J is the distance from the initial node a to which the attribute information is determined as liquid and the initial node where the attribute information is determined as air from the boundary point J. The distance is set so that the ratio of the distance to a is 5: 5, that is, the physical quantity is ε = 0.5. And as shown in FIG. 13, the isoline L4 shown with the dashed-dotted line which connected the boundary points J represented by (triangle | delta) is drawn. The control unit 5 recognizes that the isoline L4 is the boundary between the liquid and air, and the region on the side where the initial node a or the secondary node b exists, whose attribute information is determined to be liquid from the isoline L4. Is a liquid, that is, an area where immersion coating is applied. Further, it is determined that the area on the side where the initial node a or the secondary node b where the attribute information is determined to be air from the isoline L4 is air, that is, the area where the air pocket is generated. The analysis result is displayed on the display 10. Thereafter, the analysis ends (END).

  As described above, according to the invention according to the present embodiment, the equivalence line L4 shown in FIG. 13 is used as the boundary line between air and liquid, so that the attribute information is adjacent to the initial node a determined to be air. The boundary line approximated to the boundary line between the liquid and air generated in the actual coating, rather than the boundary line L5 indicated by the solid line derived by connecting the initial nodes a, a... Can be obtained. Further, it is possible to derive a smooth boundary line with less unevenness approximating the boundary line between the liquid and air generated in actual coating than the boundary line L5 indicated by the solid line.

It is a schematic block diagram of an air pool generation simulation device. It is a schematic explanatory drawing of the painting line of a vehicle body. It is a schematic diagram showing the state which immerses a work to be coated in a paint tank. It is the figure which represented the boundary of a liquid and air by connecting the intermediate point of the initial node determined that attribute information was liquid, and the initial node determined that attribute information was air. It is the figure which represented the boundary line of a liquid and air, connecting the initial node determined that the attribute information was the liquid. It is a flowchart of the analysis of the dip coating which concerns on 1st embodiment. (A) is a diagram showing a method for adding nodes, and (b) is a diagram showing a method for deleting nodes. It is a flowchart of the analysis of the dip coating which concerns on 2nd embodiment. It is a flowchart of the analysis of the dip coating which concerns on 2nd embodiment. It is the figure which has arrange | positioned the secondary node in the middle of the initial nodes which are adjacent. (A) is a diagram showing the adjacency relationship between an initial node and a secondary node arranged on a triangular element, and (b) is an adjacency between the initial node and a secondary node arranged on a quadrilateral element. It is a figure showing the relationship. It is a flowchart of the analysis of the dip coating which concerns on 3rd embodiment. As a result of the analysis in the third embodiment, the boundary between the liquid and air is represented by connecting the intermediate node between the initial node determined to be attribute information and liquid and the initial node determined to be air attribute information. is there.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Air accumulation generation apparatus 5 Control part 6 Keyboard 9 Keyboard controller 10 Display 11 Display controller 12 Hard disk drive 13 Flexible disk drive 14 Disk controller 15 Network 16 Network interface controller 19 System bus

Claims (14)

Input means for inputting shape data corresponding to the workpiece to be dipped,
First, a plurality of initial nodes are arranged in the shape data of the surface of the workpiece to be coated input by the input means, and attribute information of a predetermined initial node among the plurality of initial nodes is determined as liquid, and attribute information The attribute information of an initial node other than the initial node determined to be liquid is set to air, and the attribute information adjacent to the initial node determined to be liquid is set to the height of the initial node set to air. Compare
If the height of the initial node determined to be liquid is higher than or equal to the height of the initial node set to air, the attribute information of the initial node set to air is the attribute information. Determined as liquid,
If the height of the initial node determined to be liquid is lower than the height of the initial node set to be air, the attribute information of the initial node set to air is determined to be air The process is repeated until the attribute information adjacent to the initial node determined to be liquid is determined until the attribute information of all the initial nodes set to air is determined . Control means for performing analysis;
An air pocket generation simulation apparatus comprising: The attribute information of the initial node is determined as liquid when the attribute information of the initial node located in a range that does not become a blind spot when the work to be coated is viewed from a line of sight above the horizontal from the periphery of the workpiece. Setting the attribute information of the initial node located in a range as air;
The air reservoir generation simulation apparatus according to claim 1. Determining the attribute information of the initial node, the attribute information of the initial node adjacent to the free edge of the work to be painted as liquid, and setting the attribute information of the other initial nodes as air,
The air reservoir generation simulation apparatus according to claim 1. The control means, after all the attribute information of the initial node that is adjacent to the initial node determined to be liquid is determined as the attribute information, the initial node determined to be liquid and the attribute information as air Placing a boundary point between the determined initial nodes and connecting the boundary point to provide a boundary between a region determined to be liquid and a region determined to be air;
The air reservoir generation simulation device according to any one of claims 1 to 3, wherein: The control means includes a first connection node and a second connection node connected to an arbitrary common node and the common node from among the plurality of initial nodes after the arrangement of the initial nodes arranged on the workpiece. To determine whether the angle θ between the connection between the common node and the first connection node and the connection between the common node and the second connection node is greater than a threshold θ1,
If the angle θ is greater than the threshold θ1, an initial node is additionally arranged between the first connection node and the second connection node,
If the angle θ is smaller than the threshold θ1, do not perform additional placement of initial nodes between the first connection node and the second connection node;
The air accumulation occurrence simulation device according to any one of claims 1 to 4, characterized in that: In determining whether or not to add the initial node, the control unit compares the angle θ with the threshold θ2 when the angle θ is smaller than the threshold θ1, and the angle θ is greater than the threshold θ2. Make a decision whether it is small,
When it is determined that the angle θ is smaller than the threshold θ2, the connection between the third connection node and the common node, the angle formed by the connection between the first connection point and the common point, the fourth connection node, and the Comparing the connection with the common node and the angle formed by the connection between the second connection point and the common point, the connection forming the smaller angle of the first connection node or the second connection node is formed. Delete the node,
If it is determined that the angle θ is greater than the threshold θ2, do not delete either the first connection node or the second connection node;
The air reservoir generation simulation apparatus according to claim 5. The control means arranges a secondary node which is a node arranged secondarily in the middle between the initial nodes in the adjacent relationship, determines an initial node having an adjacent relationship with the secondary node, and then determines the second node. The attribute information of a predetermined secondary node among the next nodes is determined as liquid, the attribute information of secondary nodes other than the secondary node determined as liquid is set as air, and the attribute information is set as liquid. The attribute information that is adjacent to the determined initial node or secondary node is compared with the height of the set initial node or secondary node, and
If the height of the initial node or secondary node determined to be liquid is higher than or equal to the height of the initial node or secondary node set to air, the attribute information is set to air The attribute information of the initial or secondary node is determined as liquid,
The attribute information is set to air when the height of the initial node or secondary node determined to be liquid is lower than the height of the initial node or secondary node set to air. The attribute information of the initial node or secondary node is determined as air,
After all the attribute information of the initial node or secondary node adjacent to the initial node or secondary node determined to be liquid is determined, the attribute information is the initial node or secondary node determined to be liquid. Setting a boundary point between the initial node or the secondary node determined to be the attribute information as air, and connecting the boundary point to provide a boundary between a region determined as liquid and a region determined as air; The air reservoir generation simulation device according to any one of claims 1 to 3, wherein:   The air accumulation occurrence simulation apparatus according to any one of claims 1 to 7, further comprising display means for displaying a simulation analysis process of immersion coating by the control means. An air pool generation simulation method in which a computer analyzes the presence or absence of the occurrence of an air pool in a workpiece to be coated by dip coating,
Inputting shape data corresponding to the workpiece to be coated;
A step of initially arranging a plurality of initial nodes in the shape data of the surface of the input workpiece to be coated;
Determining the attribute information of a predetermined initial node among the plurality of initial nodes as liquid, setting the attribute information of the initial node other than the initial node determined as liquid as air,
Comparing the attribute information adjacent to the initial node determined to be liquid with the attribute information and the height of the initial node set with air;
If the height of the initial node determined to be liquid is higher than or equal to the height of the initial node set to air, the attribute information of the initial node set to air is the attribute information. Determining the liquid;
If the height of the initial node determined to be liquid is lower than the height of the initial node set to be air, the attribute information of the initial node set to air is determined to be air And steps to
The attribute information adjacent to the initial node determined to be liquid is determined whether the attribute information of all initial nodes set to air is determined as attribute information, and the attribute information of all initial nodes is determined Ending the comparison if it is determined to be determined;
A method for simulating the occurrence of air pockets, comprising: After all the attribute information of the initial node that is adjacent to the initial node determined to be liquid is determined as the attribute information, the initial node that is determined to be liquid and the attribute information is the initial node that is determined to be air Providing a boundary point between the region determined to be liquid and the region determined to be air by connecting the boundary point between
The method for simulating the occurrence of air accumulation according to claim 9, further comprising: After the arrangement of the initial nodes arranged on the workpiece to be coated, an arbitrary common node and a first connection node and a second connection node connected to the common node are extracted from the plurality of initial nodes, Determining whether the angle θ between the connection between the common node and the first connection node and the connection between the common node and the second connection node is greater than a threshold θ1,
When the angle θ is larger than the threshold θ1, an initial node is additionally arranged between the first connection node and the second connection node, and when the angle θ is smaller than the threshold θ1, No additional placement of initial nodes between the connection node and the second connection node;
The method for simulating the occurrence of air accumulation according to claim 9 or 10, further comprising: In determining whether or not to add the initial node, if the angle θ is smaller than the threshold θ1, the angle θ is compared with the threshold θ2, and whether or not the angle θ is smaller than the threshold θ2. Making a decision;
When it is determined that the angle θ is smaller than the threshold θ2, the connection between the third connection node and the common node, the angle formed by the connection between the first connection point and the common point, the fourth connection node, and the Comparing the connection with the common node and the angle formed by the connection between the second connection point and the common point, the connection forming the smaller angle of the first connection node or the second connection node is formed. If the node is deleted and it is determined that the angle θ is larger than the threshold θ2, the step of not deleting either the first connection node or the second connection node;
The method for simulating the occurrence of air accumulation according to claim 11, further comprising: Arranging a secondary node that is a node to be secondarily arranged in the middle between the adjacent initial nodes; and
After defining an initial node that is adjacent to the secondary node, the attribute information of a predetermined secondary node of the secondary nodes is determined to be liquid, and the attribute information is other than the secondary node determined to be liquid The attribute information of the secondary node is set to air, and the attribute information that is determined to be liquid is adjacent to the initial node or the secondary node.The attribute information that is adjacent to the secondary node is set to air. A step of comparing
If the height of the initial node or secondary node determined to be liquid is higher than or equal to the height of the initial node or secondary node set to air, the attribute information is set to air Determining the attribute information of the generated initial node or secondary node as liquid;
The attribute information is set to air when the height of the initial node or secondary node determined to be liquid is lower than the height of the initial node or secondary node set to air. Determining the attribute information of the initial node or secondary node as air;
After all the attribute information of the initial node or secondary node adjacent to the initial node or secondary node determined to be liquid is determined, the attribute information is the initial node or secondary node determined to be liquid. Providing a boundary point between the initial node or the secondary node determined to be the attribute information as air, and connecting the boundary point to provide a boundary between a region determined to be liquid and a region determined to be air; ,
10. The method of simulating the occurrence of air accumulation according to claim 9, further comprising:   The method for simulating the occurrence of air pockets according to any one of claims 9 to 13, further comprising a step of displaying a simulation analysis process of the dip coating on a display.

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