JP2019194922A - Surface shape determination device, surface shape determination method, and surface shape determination program - Google Patents

Abstract

To provide a surface shape determination device, a surface shape determination method, and a surface shape determination program that can determine a surface shape of an analytic structure by using an extremely simple technique.SOLUTION: A surface shape determination device, a surface shape determination method, and a surface shape determination program obtains an exterior vector from a normal vector of a first surface and a vector in a tangential direction in which the first surface and a second surface are in contact with each other, obtains an inner product of the exterior vector and a normal vector of the second surface, determines a surface shape of the second surface with respect to the first surface on the basis of the inner product obtained by inner product calculation means, draws a straight line perpendicularly from a connection of the first surface and second surface to an opposing surface, obtains the length of the straight line, and specifies a midpoint of the straight line.SELECTED DRAWING: Figure 10

Description

  The present invention relates to a surface shape determination device, a surface shape determination method, and a surface shape determination program for determining a surface shape between adjacent first and second surfaces of an analysis structure whose surface is divided into a plurality of surfaces. About.

  Conventionally, a surface shape measuring method for measuring the shape of an analysis structure has been disclosed (for example, see Patent Document 1).

  This surface shape measurement method measures the coordinates of a plurality of measurement points arranged at predetermined intervals along the cross-section line of the representative cross section of the analysis structure (object to be measured), and determines each of the measurement points based on the coordinates of each measurement point. A virtual line passing through the measurement point is created, and if the deviation between each verification point and the virtual line is greater than or equal to a predetermined value, the virtual line is corrected based on the coordinates of the verification point. Further, the coordinates of the verification point arranged between the measurement point and the verification point are measured, and the virtual line is corrected based on the coordinates of the verification point whose deviation from the virtual line is a predetermined value or more. It is disclosed that the above processing is performed between the measurement points, and the deviation of the virtual line with respect to the cross-sectional line is set to a predetermined value or less.

Japanese Patent Laid-Open No. 5-180652

  In the disclosed technique disclosed in Patent Document 1, the coordinates of a plurality of measurement points arranged at a predetermined interval are measured, and a virtual line passing through each measurement point is created based on the coordinates of each measurement point. Until the deviation from the line becomes a predetermined value or less, the process of correcting the virtual line based on the coordinates of the verification point is repeated.

  Therefore, although the surface shape can be measured with high accuracy, there is a problem that enormous processing time and processing man-hours are required.

  The present invention was devised to solve such problems, and its purpose is to provide a surface shape determination device, a surface shape determination method, and a surface shape that can determine the surface shape of an analytical structure using a very simple method. To provide a judgment program.

In order to solve the above-described problems, a surface shape determination apparatus according to the present invention determines a surface shape between a first surface and a second surface that are adjacent to each other in an analysis structure whose surface is divided into a plurality of surfaces. an apparatus, wherein the first surface and the normal vector of the (reference plane) (out-of-plane vector), determining the Risoto product vector by the tangentially of vector in which the first surface and the second surface is in contact and product computation means, based before and Kigai product vector, the inner product calculation means normal vector of the second surface seeking inner product of the (out-of-plane vector), before Symbol in the product obtained by the inner product calculation means Determining means for determining the surface shape of the second surface relative to the first surface, and draws a straight line perpendicularly from the connection point between the first surface and the second surface to the opposing surface, and the length of the straight line The intermediate point of the straight line is specified .

Further, the surface shape determination method of the present invention is a surface shape determination method for determining a surface shape between adjacent first and second surfaces of an analysis structure whose surface is divided into a plurality of surfaces, a normal vector of the first surface (reference surface) (out-of-plane vector), and the outer product calculating step of obtaining the Risoto product vector by the tangentially of vector in which the first surface and the second surface is in contact, before and Kigai product vector, the inner product calculation step for obtaining the inner product of the normal vector of the second surface (out-of-plane vector), the first surface based on the previous SL in the product obtained by the inner product calculation step wherein the second surface determination step of surface shape, only including, a straight line is drawn perpendicularly to the opposite surface from the connection point between the first surface and the second surface, determine the length of the straight line with respect to, An intermediate point of the straight line is specified .

  The surface shape determination program of the present invention is characterized by causing a computer to execute each step of the surface shape determination method of each configuration described above.

  According to the present invention, by focusing on the outer product and inner product of vectors, the surface shapes of two adjacent surfaces can be determined very simply and easily.

FIG. 1 is a functional block diagram of a surface shape determination apparatus according to an embodiment of the present invention. FIG. 2 is an explanatory diagram illustrating an example of surface information. Drawing 3 is an explanatory view of the surface shape judging processing of the analysis structure by the surface shape judging device concerning an embodiment. FIG. 4 is an explanatory diagram of the surface shape determination process of the analysis structure by the surface shape determination device according to the embodiment. FIG. 5 is an explanatory diagram of the surface shape determination process of the analysis structure by the surface shape determination device according to the embodiment. FIG. 6 is a flowchart illustrating the procedure of the surface shape determination process of the analysis structure by the surface shape determination device according to the embodiment. FIG. 7 is an explanatory diagram illustrating a processing result when the determination processing is applied to a specific shape portion of the analysis structure. FIG. 8 is an explanatory diagram showing a processing result when the determination processing is applied to a specific shape portion of the analysis structure. FIG. 9 is an explanatory diagram showing a processing result when the determination processing is applied to a specific shape portion of the analysis structure. FIG. 10 is an explanatory diagram illustrating a processing result when the determination processing is applied to a specific shape portion of the analysis structure. FIG. 11 is an explanatory diagram of an application example of the surface shape determination process according to the embodiment.

  Embodiments of the present invention will be described below with reference to the drawings.

  FIG. 1 is a functional block diagram of a surface shape determination apparatus 1 according to an embodiment of the present invention.

  The surface shape determination device 1 is a device that determines a surface shape between a first surface and a second surface that are adjacent to each other in an analysis structure whose surface is divided into a plurality of surfaces.

  More specifically, the surface shape determination apparatus 1 includes data input means 11 for inputting CAD or other shape data (analytical structure shape model), and the input surface of the analyzed structure is divided into a plurality of surfaces. And a database 12 in which information on each surface is registered.

  FIG. 2 is an explanatory diagram illustrating an example of surface information. The surface information shown in FIG. 2 exemplifies the surface f12 of the rounded thick portion (fillet) that is the root of the rising portion of the rib-shaped rib shown in FIG.

  In the database 12, as information on each surface, the area a1, the lines L1 to L4 and the number of lines constituting the outer shape of each surface, the length of each line L1 to L4, the maximum line length (in this example, L1 (or L3 )), Each information of the equivalent line width (= area a1 / maximum line length L1) is registered for each surface.

  Here, assuming that one surface registered in the database 12 is a first surface (reference surface) and another surface adjacent to the first surface is a second surface, the surface shape determination apparatus 1 has a first surface (reference surface). , The outer product computing means 13 for obtaining the outer product vector from the normal vector (out-of-plane vector) and the vector in the tangential direction where the first surface and the second surface are in contact, and the obtained outer product vector and the normal vector of the second surface ( An inner product calculating means 14 for obtaining an inner product with the out-of-plane vector), and a determining means 15 for determining the surface shape of the second surface relative to the first surface based on the calculation result of the inner product calculating means 14.

  Next, the surface shape determination process of the analysis structure by the surface shape determination apparatus 1 having the above configuration will be described with reference to the explanatory diagrams shown in FIGS. 3 to 5 and the flowchart shown in FIG.

  The outer product calculation means 13 performs outer product calculation using one surface registered in the database 12 as a first surface (reference surface) F1 and another surface F2 adjacent thereto as a second surface (step S1). Here, the first surface (reference surface) F1 is basically a flat surface. In the outer product calculation means 13, as shown in FIGS. 3 to 5, the normal vector (out-of-plane vector) A of the first surface (reference surface) F1 and the tangential direction in which the first surface F1 and the second surface F2 are in contact with each other. The outer product vector D is obtained from the vector B of

  Next, the inner product calculation means 14 calculates the inner product of the outer product vector D obtained by the outer product calculation means 13 and the normal vector (out-of-plane vector) C of the second surface F2 (step S2), and determines the calculation result as a determination means. 15

  The determination means 15 determines the surface shape of the second surface F2 with respect to the first surface F1 based on the input calculation result.

  Specifically, it is determined whether or not the calculation result is a positive value (step S3). When the calculation result indicates a positive value, the second surface F2 is determined to be a concave surface (see FIG. 3) (step S4). ). On the other hand, when the calculation result is not a positive value (when it is determined No in step S3), it is next determined whether or not the calculation result is a negative value (step S5), and the calculation result is negative. When the value is indicated, the second surface F2 is determined as a convex surface (see FIG. 4) (step S6). Further, when the calculation result is not a negative value (when it is determined No in step S5), it is next determined whether or not the calculation result is a zero value (step S7), and the calculation result is zero. When the value is indicated, it is determined that the second surface F2 is a plane (see FIG. 5) continuous with the first surface F1 (step S8). If it is also determined No in step S7, error processing (step S11) is executed and the process ends.

  Thereafter, it is confirmed whether or not the processing of all the surfaces has been completed (step S9). If the processing of all the surfaces has not been completed, the processing returns to step S1 and is repeated. On the other hand, if all the surfaces have been processed (Yes in step S9), the surface shape determination processing ends at that time.

  In other words, in the present embodiment, as a result of the inner product calculation, the adjacent surfaces always have a negative value when viewed from the reference surface, and the surface spreading out of the surface always has a positive value. Is used.

  Finally, the determination means 15 sets the surface type when the calculation result shows a positive value (+), the type of the surface when the calculation result shows a negative value (−), and the calculation result shows a zero value. Is classified by (0), and the classification information is registered corresponding to the information of each surface of the database 12 (step S10). Thereby, in the process of analysis simulation etc. implemented after that, the shape of an analysis structure can be extracted (namely, identified) by the combination of these (+), (-), (0).

  7 to 10 illustrate processing results when the above determination processing is applied to a specific shape portion of the analysis structure.

  FIG. 7 shows the result of applying the above-described determination processing to the rib shape, and the result of the inner product calculation is plus (+) on the surface of the rounded thick portion (fillet) that is the root of the rising portion of the rib, The result of the inner product calculation is minus (−) on the surface of the tip (end) of the rib. As a result, in FIG. 7, the surface F11 is classified as a plane, the surface F12 is a concave surface, the surface F13 is a plane, the surface F14 is a convex surface, the surface F15 is a plane, the surface F16 is a concave surface, and the surface F17 is a plane.

  Further, FIG. 8 shows the result of applying the above-described determination processing to the shape of the end portion, and the result of the inner product calculation is minus (−) on the rounded surface of the corner portion of the end portion. . As a result, in FIG. 8, the surface F21 is classified as a plane, the surface F22 as a convex surface, the surface F23 as a plane, the surface F24 as a convex surface, and the surface F25 as a plane.

  FIG. 9 shows a result of applying the above-described determination process to a shape in which a plane continues. When the plane continues, the result of the inner product operation also continues with zero (0). As a result, in FIG. 9, the surface F31 is classified as a plane, the surface F32 is classified as a plane, the surface F33 is classified as a plane, and the surface F34 is classified as a plane.

  FIG. 10 shows the result of applying the above-described determination processing to a shape including a gradually changing surface (gradually changing surface), and the result of the inner product calculation is positive (+) and negative in the gradually changing surface. (-). As a result, in FIG. 10, the surface F41 is classified as a plane, the surface F42 is classified as a gradually changing surface (in this example, an inclined surface), and the surface F43 is classified as a plane.

  Information on the shape type of each surface of the analysis structure classified in this way is used for various subsequent analysis simulations.

  That is, according to the surface shape determination device, the surface shape determination method, and the surface shape determination program of the present embodiment, the surface shape of each of the divided surfaces can be determined only by the calculated value plus, minus, zero. Therefore, it is possible to perform the surface determination process easily and at extremely high speed.

  As the shape model of the analysis structure, the surface shape determination process of the present invention can be applied to various shape models such as a solid model and a wire model in addition to the surface model. .

(Description of application example of surface shape determination processing according to embodiment)
For example, in the case of the shape shown in FIG. 10, by drawing straight lines L11 and L12 perpendicular to the opposing surfaces from the connection point e1 between the surface F41 and the surface F42 and the connection point e2 between the surface F42 and the surface F43, the connection points The distance (thickness of the analysis structure) at e1 and e2 is known. Therefore, by using these pieces of information, for example, a neutral surface (or mesh) CF1 can be attached to the middle of the gradually changing surface F42. Further, even when the neutral surface (or mesh) CF2 of the surface F41 is extended as it is to the surface F42 and the surface F43, the shape of the analysis structure from the surface F41 to the surface F43 needs to be specified in advance. However, such shape specification can be easily performed by using the surface shape determination processing of the present embodiment.

  FIG. 11 is an explanatory diagram showing a simple example when the analysis structure is divided into hexahedral meshes. The normal vector of the surface F51, which is the reference surface, and the tangential direction in which the surface F51 and the surface F52 are in contact with each other If the outer product vector is obtained from the vector and the inner product of the outer product vector and the normal vector of the surface F52 is obtained, the result of the operation becomes positive. That is, it can be seen that the connecting portion between the surface F51 and the surface F52 is a recess. Therefore, the analysis structure can be divided into two hexahedral meshes on the left and right sides by drawing a cut line CL1 downward from the connection point P along the plane F52 (that is, parallel to the plane F54). Further, by drawing a cut line CL2 from the connection point P to the left along the surface F51 (that is, parallel to the surface F53), the analysis structure can be divided into two upper and lower hexahedral meshes.

  Note that the application examples shown in FIGS. 10 and 11 are merely examples, and the present invention is not limited to these application examples.

  The present invention includes a program executed by a computer to realize the surface shape determination method. The computer is, for example, a CPU (not shown) of the surface shape determination apparatus 1, but any other device that can execute a program may be used. The computer can execute the surface shape determination process of the present invention by executing a program acquired via a recording medium or a communication network.

  The present invention can be implemented in various other forms without departing from the spirit or main features thereof. Therefore, the above-described embodiment is merely an example in all respects and should not be interpreted in a limited manner. The scope of the present invention is set forth in the claims, and is not restricted by the text of the specification. Further, all modifications and changes belonging to the equivalent scope of the claims are within the scope of the present invention.

  The present invention greatly contributes to the entire technical field related to analysis simulation in which structural analysis is performed using various shape models such as a surface model, a solid model, and a wire model.

DESCRIPTION OF SYMBOLS 1 Surface shape determination apparatus 11 Data input means 12 Database 13 Outer product calculation means 14 Inner product calculation means 15 Determination means

FIG. 2 is an explanatory diagram illustrating an example of surface information. This information plane shown in FIG. 2 illustrates a surface F 12 of the base and is rounded thick portion of the rising portion of the rib of the rib shape shown in FIG. 7 to be described later (fillet).

Claims (9)

A surface shape determination device for determining a surface shape between an adjacent first surface and a second surface of an analysis structure having a surface divided into a plurality of surfaces,
And the normal vector of the first surface, and the outer product calculating means for calculating the Risoto product vector by the tangentially of vector in which the first surface and the second surface is in contact,
Before and Kigai product vector, the inner product calculation means for calculating the inner product of a normal vector of the second surface,
Determination means for determining the surface shape of the second surface to the first surface based on the previous SL in the product obtained by said inner product computing means,
Equipped with a,
A surface shape determination apparatus characterized in that a straight line is drawn perpendicularly from a connection point between the first surface and the second surface to an opposing surface, the length of the straight line is obtained, and an intermediate point of the straight line is specified . The surface shape determination device according to claim 1,
A surface shape determination apparatus, wherein a neutral plane or a mesh passing through an intermediate point of the straight line is formed. The surface shape determination device according to claim 1,
The outer product calculation means obtains a first outer product vector from a normal vector of the first surface and a vector in a tangential direction where the first surface and the second surface are in contact, and a normal of the second surface A second outer product vector is obtained from the vector and a tangential vector where the second surface and the third surface are in contact with each other;
The inner product calculating means obtains a first inner product of the first outer product vector and a normal vector of the second surface, and a second of the second outer product vector and the normal vector of the third surface. Find inner product,
The determining means determines the surface shape of the second surface relative to the first surface based on the first inner product obtained by the inner product calculating means, and the second inner product obtained by the inner product calculating means. And determining a surface shape of the third surface with respect to the second surface based on
A first straight line and a second straight line are drawn perpendicularly from the connection point between the first surface and the second surface and from the connection point between the second surface and the third surface to the opposing surface, respectively. A surface shape determination apparatus, wherein a length and a length of the second straight line are respectively obtained, and an intermediate point of the first straight line is specified as an intermediate point of the second straight line. The surface shape determination apparatus according to claim 3,
The surface shape determination apparatus characterized by forming the neutral surface or mesh which passes through the intermediate point of the said 1st straight line, and the intermediate point of the said 2nd straight line. A surface shape determination method for determining a surface shape between adjacent first and second surfaces of an analysis structure whose surface is divided into a plurality of surfaces,
And the normal vector of the first surface, and the outer product calculating step of obtaining the Risoto product vector by the tangentially of vector in which the first surface and the second surface is in contact,
Before and Kigai product vector, the inner product calculation step for obtaining the inner product of the normal vector of the second surface,
A determining step of the surface shape of the second surface to the first surface based on the previous SL in the product obtained by the inner product calculation step,
Only including,
A surface shape determination method , wherein a straight line is drawn perpendicularly from a connection point between the first surface and the second surface to a facing surface, a length of the straight line is obtained, and an intermediate point of the straight line is specified . The surface shape determination method according to claim 5,
A method for determining a surface shape, comprising forming a neutral surface or a mesh passing through an intermediate point of the straight line. The surface shape determination method according to claim 5,
In the outer product calculation step, a first outer product vector is obtained from a normal vector of the first surface and a vector in a tangential direction where the first surface and the second surface are in contact, and the normal of the second surface A second outer product vector is obtained from the vector and a tangential vector where the second surface and the third surface are in contact with each other;
In the inner product calculating step, a first inner product of the first outer product vector and the normal vector of the second surface is obtained, and a second of the second outer product vector and the normal vector of the third surface is obtained. Find inner product,
In the determining step, a surface shape of the second surface with respect to the first surface is determined based on the first inner product determined in the inner product calculating step, and the second inner product determined in the inner product calculating step. And determining a surface shape of the third surface with respect to the second surface based on
A first straight line and a second straight line are drawn perpendicularly from the connection point between the first surface and the second surface and from the connection point between the second surface and the third surface to the opposing surface, respectively. A surface shape determination method, wherein a length and a length of the second straight line are respectively obtained, and an intermediate point of the first straight line is specified as an intermediate point of the second straight line. The surface shape determination method according to claim 7,
A method for determining a surface shape, comprising forming a neutral plane or a mesh passing through an intermediate point of the first straight line and an intermediate point of the second straight line.   The surface shape determination program for making a computer perform each step of the surface shape determination method as described in any one of Claim 5 to 8.

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