JP6127452B2 - Method and apparatus for calculating bundle diameter of wire bundle - Google Patents

Description

  The present invention relates to a method and an apparatus for calculating a bundle diameter of a wire bundle for obtaining a bundle diameter of a bundle of wire bundles of a plurality of wires.

  In vehicles, industrial robots, and the like, there are cases where wire rods such as electric wires and tubes are bundled and arranged. In such a case, it is necessary to obtain the bundle diameter when the wire is bundled for the design of the arrangement. The bundle diameter refers to the diameter of a virtual circumscribed circle circumscribing the bundled wire rods in a cross-sectional view when the plurality of wire rods are bundled.

  As a conventional method for calculating the bundle diameter of wire rods, there is Patent Literature 1.

  In Patent Document 1, when determining the bundle diameters of wires having different diameters, the bundle diameter when only the same diameter wires having the same cross-sectional area are bundled is obtained for each diameter of the component wires, and the diameters of the obtained component wires are obtained. A method is disclosed in which the bundle diameter is weighted averaged by the cross-sectional area ratio of the constituent wire rods of each diameter, and the weighted average value is multiplied by an alignment correction coefficient to obtain the bundle diameter.

JP-A-8-180747

  In other words, in Patent Document 1 described above, the different-diameter circle filling problem is replaced with the same-diameter circle filling problem of the number of constituent circles having the same cross-sectional area in each diameter of the constituent circles, and the weighted average result is different from the normal filling. This is the solution to the radial circle filling problem. However, the reason why this is true is not clear, and there is a logical leap.

  Further, Patent Document 1 multiplies an arbitrary correction coefficient called an alignment correction coefficient obtained by experiment, and it is unclear whether an accurate bundle diameter is required when conditions such as the number of wires and diameter are greatly different. .

  Furthermore, particularly when a large number of wires having different diameters are bundled, it is difficult to always bundle the wires in the same arrangement, and the actual bundle diameter has a certain probability distribution. However, in Patent Document 1, such a probability distribution (that is, a probability density distribution of bundle diameters) cannot be obtained.

  The present invention has been made in view of the above circumstances, and an object of the present invention is to provide a method and an apparatus for calculating the bundle diameter of a wire bundle that can accurately obtain the probability density distribution of the bundle diameter of the wire bundle.

  The present invention was devised to achieve the above object, and is a method of calculating a bundle diameter of a wire bundle obtained by obtaining a bundle diameter of a bundle of wire bundles of a plurality of wires, and a cross-sectional shape of the plurality of wire rods A method for calculating the bundle diameter of a bundle of wire rods by repeatedly arranging a plurality of circles simulating the circle and obtaining the bundle diameter from the diameter of the circumscribed circle when the plurality of circles are converged to obtain the probability density distribution of the bundle diameter It is.

  As the plurality of wires constituting the wire bundle, ones having different diameters may be used.

  After the plurality of circles are randomly arranged in the bundle circle, the diameter of the bundle circle is reduced by a unit length, and interference determination is performed for all the circles including the bundle circle, and interference circles are free from interference. Repeatedly moving in the direction, obtaining the diameter of the circumscribed circle from the diameter of the bundling circle when the number of times that it was determined that there is interference in the interference determination reaches a preset number of times, and obtaining the bundling diameter Also good.

  Further, the present invention is a wire bundle bundle diameter calculation device for obtaining a bundle diameter of a wire bundle obtained by bundling a plurality of wire rods, wherein a plurality of circles imitating a cross-sectional shape of the plurality of wire rods are randomly arranged. , Repeatedly calculating the bundle diameter from the diameter of the circumscribed circle of the plurality of circles when the plurality of circles are converged, and obtaining the bundle diameter by the bundle diameter simulator A bundle diameter calculation device for a bundle of wire rods, comprising a bundle diameter probability density distribution calculation unit for obtaining a probability density distribution.

  ADVANTAGE OF THE INVENTION According to this invention, the bundle diameter calculation method and apparatus of a wire bundle which can obtain | require the probability density distribution of the bundle diameter of a wire bundle accurately can be provided.

It is a flowchart of the bundle diameter calculation method of the wire bundle which concerns on one embodiment of this invention. It is a figure explaining the bundling diameter calculation method of the wire rod bundle of Drawing 1, and is a figure explaining arrangement of a bundling circle and a circle. It is a figure explaining the bundling diameter calculation method of the wire bundle of FIG. 1, (a) when a bundling circle and a circle interfere, (b) explains the direction to move both circles when a circle interferes. FIG. It is a schematic block diagram of the bundle diameter calculation apparatus of the wire bundle which concerns on one embodiment of this invention. It is the graph which compared the minimum diameter of the wire bundle calculated | required by the bundle diameter calculation method of the wire bundle of this invention, and the bundle diameter of the wire bundle calculated | required by the prior art.

  Hereinafter, embodiments of the present invention will be described with reference to the accompanying drawings.

  The bundle diameter calculation method for a wire bundle according to the present embodiment is a method for obtaining a bundle diameter of a wire bundle obtained by bundling a plurality of wire rods having different diameters. Here, the bundle diameter refers to a diameter of a virtual circumscribed circle circumscribing the bundled wire rods in a cross-sectional view when the plurality of wire rods are bundled. In the present specification, the term “diameter” represents a diameter.

  FIG. 1 is a flowchart of a bundle diameter calculation method for a wire bundle according to the present embodiment.

  As shown in FIG. 1, in the bundle diameter calculation method of the wire bundle according to the present embodiment, first, an initial value 0 is substituted for the number of times of interference m and the number of repetitions n (step S1), and then a bundle circle is defined ( Step S2), a plurality of circles imitating the cross-sectional shape of the plurality of wires constituting the wire rod bundle are randomly arranged in the bundle circle (step S3).

  As shown in FIG. 2, the bundle circle 21 is set in advance to a diameter that allows a circle 22 simulating the cross-sectional shape of the wire to be randomly arranged by a finite number of operations. The circle 22 is set to the same diameter as the corresponding wire. In the present embodiment, a case will be described in which a plurality of wires constituting a wire bundle having different diameters are used. In this case, circles 22 having different diameters are randomly arranged in the bundle circle 21.

  Thereafter, the diameter of the bundle circle 21 is reduced by a unit length (for example, 1 mm) (step S4). The “unit length” here can be arbitrarily set according to the required accuracy. The smaller the “unit length”, the more accurately the bundle diameter can be obtained, but the time required for the calculation becomes longer.

  After the diameter of the bundling circle 21 is reduced by unit length in step S4, the bundling circle 21, the circle 22, and the distance between the circles 22 are calculated (step S5), and it is determined whether the calculated distance is 0 or less ( Step S6). That is, interference determination (contact determination) is performed for all the circles 21 and 22 including the bundle circle 21.

  If NO is determined in step S6, that is, if there is no interference between the circles 21 and 22, the process returns to step S4. If YES is determined in step S6, that is, if there is interference between the circles 21 and 22, the process proceeds to step S7, and the interfering circles 21 and 22 are moved in a direction in which interference does not occur. In the present embodiment, the circles 21 and 22 are moved in a direction along a straight line passing through the centers of the two circles 21 and 22 that interfere with each other.

  More specifically, for example, as shown in FIG. 3A, when the bundling circle 21 and the circle 22 interfere with each other, the circle 22 is bundled along the straight line A passing through both the circles 21 and 22. The bundled circle 21 is moved in the opposite direction to the inside of 21. That is, when the bundling circle 21 and the circle 22 interfere with each other, the circles 21 and 22 are moved in a direction in which the centers of both the circles 21 and 22 approach each other. The distance for moving both the circles 21 and 22 can be set as appropriate. For example, the distance can be set to ¼ of the unit length in step S4. When the distance for moving both circles 21 and 22 is ¼ of the unit length in step S4, the distance between the bundle circle 21 and the circle 22 is the same as that before the diameter of the bundle circle 21 is reduced to the unit length. Returning to the same distance, the circle 22 is moved to the inside of the bundled circle 21.

  On the other hand, when the circles 22 interfere with each other, as shown in FIG. 3B, the centers of the circles 22 and 22 move away from each other along the straight line B passing through the centers of the circles 22 and 22. The circles 22 and 22 are moved to. The distance for moving both the circles 22 and 22 can be set as appropriate. For example, as in the case where the bundling circle 21 and the circle 22 interfere with each other, the distance is set to ¼ of the unit length in step S4. be able to.

  Thereafter, in step S8, it is determined whether or not the number of interferences m is equal to or greater than the specified number. If NO is determined in step S8, the interference count m is incremented in step S9, and then the process returns to step S5.

  That is, steps S5 to S8 are repeated until the interference between the circles 21 and 22 is eliminated, and the diameter of the bundling circle 21 is reduced when the interference with all the circles 21 and 22 is eliminated (return from step S6 to step S4). The process is repeated until the number of interference m reaches the specified number. As a result, the diameter of the bundle circle 21 is gradually reduced, and the circle 22 is gradually converged.

  The number of times of interference m is the number of times determined as YES in step S6, that is, the number of times that interference has been determined (the number of times that the circles 21 and 22 have been moved). When the set number of times is reached, it is determined that the bundled circle 21 has a minimum diameter that does not interfere with the circle 22 and the circle 22 has converged. The specified number of times in step S8 may be appropriately set to a number that allows the circle 22 to sufficiently converge in consideration of the unit length in step S4. When the interference count m reaches the specified count, YES is determined in step S8, and the process proceeds to step S10. At this time, the bundled circle 21 is a circumscribed circle of the converged circle 22, and the diameter of the bundled circle 21 is the diameter of the circumscribed circle of the bundle of wire rods bundled with the wire rod, that is, the bundle diameter.

  In step S10, the diameter of the bundling circle 21 at the time point determined as YES in step S8 is saved (stored) as the bundling diameter, and the process proceeds to step S11.

  In step S11, it is determined whether the number of repetitions n is equal to or greater than the specified number. If NO is determined in step S11, the repetition number n is incremented in step S12 and the interference number m is initialized to 0. Then, the process returns to step S3, and the calculation of the bundle diameter is started again. That is, obtaining a bundle diameter from the diameter of a circumscribed circle (bundled circle 21) when a plurality of circles 22 imitating the cross-sectional shape of a plurality of wires are randomly arranged and the plurality of circles 22 are converged, Repeat until the number of repetitions n reaches the specified number.

  The specified number of times in step S11 means how many times the bundle diameter is calculated, and is the number of samples of the bundle diameter. Therefore, the number of samples may be appropriately set so that the number of samples becomes a statistically significant number. When the repetition number n reaches the specified number, YES is determined in step S11, and the process proceeds to step S13.

  In step S13, a probability density distribution of the bundle diameter is obtained using the bundle diameter data stored in step S10, and the calculation result is displayed on a display device such as a monitor as the probability density distribution. Thereafter, the process ends.

  Next, a wire bundle bundle diameter calculation apparatus that performs the wire bundle bundle diameter calculation method according to the present embodiment will be described.

  As shown in FIG. 4, the bundle diameter calculation device 41 of a wire bundle includes a circumscribed circle when a plurality of circles 22 imitating a cross-sectional shape of a plurality of wire rods are randomly arranged and the plurality of circles 22 are converged. The bundle diameter simulation unit 42 for obtaining the bundle diameter from the diameters of the bundles, the bundle diameter simulation unit 42 repeatedly obtaining the bundle diameter, the bundle diameter probability density distribution calculating unit 43 for obtaining the probability density distribution of the bundle diameter, a monitor, etc. The display 49 is provided. The bundle diameter simulation unit 42 and the bundle diameter probability density distribution calculation unit 43 are mounted on a calculation device such as a personal computer, and are realized by appropriately combining a CPU, software, an interface, a memory, and the like.

  The bundle diameter simulating unit 42 randomly arranges an input unit 44 for inputting the number of wires constituting the wire bundle and the diameter of each wire, and a plurality of circles 22 simulating the cross-sectional shape of each wire in the bundle circle 21. After that, the diameter of the bundling circle 21 is reduced by the unit length, the interference judgment is performed on all the circles 21 and 22 including the bundling circle 21, and the interfering circles 21 and 22 are moved in a direction in which the interference is eliminated. Repeatedly, a bundle diameter calculation unit that obtains a bundle diameter from the diameter of the bundle circle 21 when the number of times that it is determined that there is interference in the interference determination reaches a predetermined number of times set in advance (that is, executes steps S2 to S10 described above). 45, and a storage unit 46 for storing the bundle diameter obtained by the bundle diameter calculation unit 45.

  The bundle diameter probability density distribution calculating unit 43 controls the bundle diameter calculating unit 45 of the bundle diameter simulating unit 42 to calculate a predetermined number of bundle diameters for a predetermined number of repetitions n, and also causes the storage unit 46 to perform calculation. A probability density distribution calculation unit 47 for calculating the probability density distribution of the bundle diameter from the stored calculation result of the bundle diameter, and an output for outputting the probability density distribution of the bundle diameter calculated by the probability density distribution calculation unit 47 to the display unit 49 Part 48.

  Note that here, preset values are used as the prescribed number of times of interference m and the prescribed number of repetitions n. However, for example, an input value can be used as both prescribed times.

  As described above, in the method of calculating the bundle diameter of the wire bundle according to the present embodiment, a plurality of circles 22 simulating the cross-sectional shape of the plurality of wire rods are randomly arranged and the plurality of circles 22 are converged. The probability diameter distribution of the bundle diameter is obtained by repeatedly obtaining the bundle diameter from the diameter of the circumscribed circle.

  An approximate probability density distribution can be obtained by repeating a simulation simulating the operation of actually binding wires until the number of samples becomes statistically significant. That is, according to the present invention, the probability density distribution of the bundle diameter of the wire bundle can be obtained with high accuracy.

  Further, by obtaining the probability density distribution of the bundle diameter, it becomes possible to predict the minimum diameter and the maximum diameter of the wire bundle, and it is possible to obtain useful data in the design design of the wire bundle.

  Here, FIG. 5 shows a result of comparison between the minimum diameter of the wire bundle actually obtained by the present invention and the bundle diameter obtained by the conventional technique (the technique of Patent Document 1). In addition, the horizontal axis in FIG. 5 is not a physical quantity, but displays cases in which the number of bundled wires and the diameters are different.

  As shown in FIG. 5, the bundle diameter obtained by the conventional technique is a value smaller than the minimum diameter of the wire bundle obtained by the present invention. In the present invention, the operation of actually bundling wires is simulated and it can be said that the reliability is high, but the bundling diameter obtained by the prior art is a smaller value than the minimum diameter obtained by the present invention and cannot be ignored. Can be said to exist. When designing a wire bundle with a smaller diameter than the actual diameter, it may be impossible to arrange the wire when actually arranging it. It can be said that the design of the plan is possible.

  The present invention is not limited to the above-described embodiment, and it is needless to say that various modifications can be made without departing from the spirit of the present invention.

21 Bundled circle 22 yen

Claims (1)

A method of calculating a bundle diameter of a wire bundle to obtain a bundle diameter of a bundle of wire bundles of a plurality of wires,
Randomly arranging a plurality of circles imitating the cross-sectional shape of the plurality of wire rods, repeatedly calculating the bundle diameter from the diameter of the circumscribed circle when the plurality of circles are converged, the probability density distribution of the bundle diameter This is the bundling diameter calculation method
After randomly arranging the plurality of circles in a bundled circle,
The bundle circle diameter is reduced by a unit length, interference determination is performed for all circles including the bundle circle, and the interference circle is repeatedly moved in a direction in which interference does not occur. A bundle diameter calculation method for a bundle of wire rods , wherein the diameter of the circumscribed circle is obtained from the diameter of the bundle circle when the number of times determined as a predetermined number of preset times is reached, and the bundle diameter is obtained .