JP2013210910A - Model creation method, program for causing the same to be executed, computer readable recording medium recording the same, and model creation device - Google Patents

Model creation method, program for causing the same to be executed, computer readable recording medium recording the same, and model creation device Download PDF

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JP2013210910A
JP2013210910A JP2012081590A JP2012081590A JP2013210910A JP 2013210910 A JP2013210910 A JP 2013210910A JP 2012081590 A JP2012081590 A JP 2012081590A JP 2012081590 A JP2012081590 A JP 2012081590A JP 2013210910 A JP2013210910 A JP 2013210910A
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model
fastened
fastening member
axial force
fastening
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Daisuke Hata
大輔 畑
Hidetoshi Yoshida
英俊 吉田
Tomoya Horinouchi
智也 堀之内
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Suzuki Motor Corp
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PROBLEM TO BE SOLVED: To provide a model creation method and device, a program recording the model creation method, and a recording medium recording the program, in which accuracy of simulation is improved, and an error in condition setting by an operator is prevented by facilitating creation of a model.SOLUTION: For calculating a property of an assembly screwed in a state where a fastening member is inserted through fitting holes of mutually-overlapping two fastened members; a fastening member model having a plurality of shell elements corresponding to an outer shape of a fastening member is created; two fastened member models each having a plurality of shell elements corresponding to an outer shape of each of the two fastening members are created; and a model of an assembly obtained by assembling the fastening member model and the two fastened member models is created. Sharing setup is performed so that at this time, at an area where the two fastening members overlap, an axial force can be transmitted between mutually opposing shell elements of the two fastened member models which are positioned in an axial force range where an influence of an axial force of the fastening member reaches the two fastened member.

Description

本発明は、締結部材によって2つの被締結部材を締結した組立体の特性を計算するために用いられるモデルの作成方法に関し、このようなモデルの作成方法をコンピュータに実行させるためのプログラムに関し、かつこのようなプログラムを記録したコンピュータ読取り可能な記録媒体に関する。また、本発明は、締結部材によって複数の被締結部材を締結した組立体の特性を計算するために用いられるモデルの作成装置に関する。   The present invention relates to a method for creating a model used for calculating the characteristics of an assembly in which two fastened members are fastened by fastening members, a program for causing a computer to execute such a method for creating a model, and The present invention relates to a computer-readable recording medium on which such a program is recorded. The present invention also relates to an apparatus for creating a model used for calculating characteristics of an assembly in which a plurality of fastened members are fastened by fastening members.

工業製品の開発現場においては、製品設計、製品製造、工程設計等の事前検討をコンピュータ技術の活用によって支援するCAE(Computer Aided Engineering)が広く普及している。CAEでは、典型的には、コンピュータを用いて製品に対応する3次元のモデルを作成し、このモデルに基づいて製品の構造解析、応力解析、振動解析、衝撃解析、機構解析等のシミュレーションを行っている。これらのシミュレーションでは、多くの場合、製品の外形を複数のシェル要素(殻状要素)を使って作成したソリッド要素によって定義した3次元のモデルが用いられている。例えば、シミュレーションの結果に基づいて製品開発当初の試作前に製品の最適化を図れば、製品開発当初からより最適化された試作品を製造でき、その結果、改良のために試作を繰り返す回数を減らすことができるので、製品の開発コストを低減でき、製品の開発日程を短縮できて、製品開発の効率化を図ることができる。特に、近年、製図用の3次元CAD(Computer Assisted Drafting)ソフトウェアが普及したため、このようなソフトウェアにより作成された3次元モデルを利用することによって、前述のシミュレーションがより実施し易くなっており、製品開発の効率化がさらに進んでいる。   In industrial product development sites, CAE (Computer Aided Engineering), which supports the advance examination of product design, product manufacturing, process design, etc. by utilizing computer technology, is widely used. In CAE, typically, a three-dimensional model corresponding to a product is created using a computer, and simulations such as structural analysis, stress analysis, vibration analysis, impact analysis, and mechanism analysis of the product are performed based on this model. ing. In many of these simulations, a three-dimensional model in which the outer shape of a product is defined by solid elements created using a plurality of shell elements (shell elements) is used. For example, if the product is optimized before the trial production at the initial stage of product development based on the simulation results, a more optimized prototype can be manufactured from the initial stage of product development. Therefore, the development cost of the product can be reduced, the development schedule of the product can be shortened, and the efficiency of the product development can be improved. In particular, in recent years, 3D CAD (Computer Assisted Drafting) software for drafting has become widespread, and using the 3D model created by such software makes it easier to carry out the above simulation. Development efficiency is further advanced.

このシミュレーションの一例として、頭部と、ネジ部と、頭部及びネジ部間の円筒部とを有するボルトを互いに重なった2つの被締結部材の取付穴に挿通した状態で、ボルトによって2つの被締結部材を締結した組立体を振動解析する場合では、ボルトの外形に対応する複数のシェル要素を有するボルトのモデル(以下、「ボルトモデル」という)と、2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材のモデル(以下、「被締結部材モデル」という)とを組立てた組立体のモデル(以下、「組立体モデル」という)を作成する。この組立体のモデルを作成する際、多数のボルト締結部の複雑な条件を設定する必要がある。しかしながら、ボルト締結部の複雑な条件を設定することは難しく、この難しい設定を多数のボルト締結部に施すこともまた非常に煩雑であるので、作業者によるボルト締結部の設定ミスが発生するという問題がある。そこで、このようなボルト締結部の締結条件を含んだモデルの作成を容易にすることが要求されている。   As an example of this simulation, a bolt having a head portion, a screw portion, and a cylindrical portion between the head portion and the screw portion is inserted into the mounting holes of the two fastened members that are overlapped with each other. In the case of vibration analysis of an assembly with a fastening member fastened, it corresponds to the bolt model having a plurality of shell elements corresponding to the bolt outer shape (hereinafter referred to as “bolt model”) and the outer shapes of the two fastening members. An assembly model (hereinafter referred to as an “assembly model”) is created by assembling two fastened member models each having a plurality of shell elements (hereinafter referred to as “fastened member model”). When creating a model of this assembly, it is necessary to set complicated conditions for a large number of bolt fastening portions. However, it is difficult to set complicated conditions for the bolt fastening portion, and it is also very complicated to apply this difficult setting to a large number of bolt fastening portions, so that an error in setting the bolt fastening portion by an operator occurs. There's a problem. Therefore, it is required to facilitate the creation of a model including the fastening conditions of such bolt fastening portions.

この問題に対する対策の一例として、特許文献1では、組立体モデルにおいて、ボルトモデルのネジ部対応領域を、ネジ部の雄ネジ外径に対応した直径を有する円柱形状の突起要素として形成し、かつ被締結部材モデルのネジ穴対応領域を、雌ネジの内径に対応した直径を有する円柱形状の空間として形成しており、このような組立体モデルを作成する際、円柱形状の突起要素と円柱形状の空間周辺の要素とが重なっている部分を、ネジ部対応領域とネジ穴対応領域とから成るボルト締結部であると自動的に認識している。さらに、認識されたボルト締結部の引き抜き強度を計算し、その後、ネジ部対応領域とネジ穴対応領域とを互いの位置関係を変化させないように拘束し、かつボルト締結部に加えられた力が計算した引き抜き強度を超えた場合にネジ部対応領域とネジ穴対応領域との拘束を解放するようにボルト締結部の締結条件を設定している。   As an example of measures against this problem, in Patent Document 1, in the assembly model, the screw part corresponding region of the bolt model is formed as a cylindrical protruding element having a diameter corresponding to the male screw outer diameter of the screw part, and The screw hole corresponding region of the fastened member model is formed as a cylindrical space having a diameter corresponding to the inner diameter of the female screw. When creating such an assembly model, the cylindrical protrusion element and the cylindrical shape The area where the elements surrounding the space overlap is automatically recognized as a bolt fastening portion composed of a screw portion corresponding region and a screw hole corresponding region. Further, the recognized pull-out strength of the bolt fastening portion is calculated, and then the screw portion corresponding region and the screw hole corresponding region are restrained so as not to change the mutual positional relationship, and the force applied to the bolt fastening portion is The fastening condition of the bolt fastening portion is set so as to release the constraint between the screw portion corresponding region and the screw hole corresponding region when the calculated pullout strength is exceeded.

特開2008−065708号公報JP 2008-0665708 A

しかしながら、特許文献1では、ネジ部対応領域とネジ穴対応領域との拘束によってボルト締結部の締結条件が再現されているに過ぎず、ボルト頭部座面及び被締結部材の表面の当接、2つの被締結部材同士の当接等の影響を十分に考慮していない。そのため、特許文献1のように作成された組立体モデルでは、シミュレーションの精度が低下するという問題がある。   However, in Patent Document 1, only the fastening condition of the bolt fastening portion is reproduced by the restraint between the screw portion corresponding region and the screw hole corresponding region, the contact between the bolt head seat surface and the surface of the member to be fastened, The influence of contact between the two fastened members is not fully considered. Therefore, the assembly model created as in Patent Document 1 has a problem that the accuracy of the simulation is lowered.

本発明はこのような実状に鑑みてなされたものであって、その目的は、シミュレーションの精度を向上させることができ、かつモデルの作成を容易化することによって作業者による締結部の締結条件の設定ミスを防ぐことができるモデル作成方法、このようなモデル作成方法をコンピュータに実行させるためのプログラム、及びこのようなプログラムを記録したコンピュータ読取り可能な記録媒体、並びにモデル作成装置を提供することにある。   The present invention has been made in view of such a situation, and an object of the present invention is to improve the accuracy of simulation, and to facilitate the creation of a model, so that the conditions of fastening of fastening parts by an operator can be improved. To provide a model creation method capable of preventing setting errors, a program for causing a computer to execute such a model creation method, a computer-readable recording medium recording such a program, and a model creation device is there.

課題を解決するために、本発明の一態様に係るモデル作成方法は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する方法であって、前記2つの被締結部材モデルが重なっている領域で前記2つの被締結部材モデルの互いに対向するシェル要素間について、前記締結部材の軸力を伝達可能とするように共有設定するステップと、前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義するステップと、前記定義された軸力範囲外に位置する前記共有設定されたシェル要素を検出するステップと、前記検出されたシェル要素間の共有設定を解除するステップとを含む。   In order to solve the problem, a model creation method according to one aspect of the present invention includes two fastening members each having a head, a screw part, and a cylindrical part between the head part and the screw part. A plurality of shell elements corresponding to the outer shape of the fastening member in order to calculate the characteristics of the assembly in which the two fastened members are screwed by the fastening member in a state of being inserted into the mounting hole of the fastened member; A fastening member model is created, two fastening member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastening members are created, and the fastening member model and the two fastening member models are A method of creating a model of the assembled assembly, wherein the shell elements facing each other of the two fastened member models in a region where the two fastened member models overlap, A step of sharing setting so that the axial force of the fastening member can be transmitted, a step of defining an axial force range in which the axial force of the fastening member reaches the two fastened members, and the defined axial force range Detecting the shared shell element located outside, and releasing the shared setting between the detected shell elements.

本発明の一態様に係るモデル作成方法では、前記軸力範囲が、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界に囲まれており、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。   In the model creation method according to one aspect of the present invention, the axial force range is surrounded by a boundary extending in a conical shape from the outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model side. The conical boundary is inclined at a predetermined angle with respect to the central axis of the fastening member.

本発明の別の一態様に係るモデル作成方法は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する方法であって、前記締結部材の軸力が前記被締結部材に及ぶ軸力範囲を定義するステップと、前記2つの被締結部材モデルが互いに重なっている領域で前記定義された軸力範囲内に位置する前記2つの被締結部材モデルの互いに対向するシェル要素を検出するステップと、前記検出された対向するシェル要素間について前記締結部材の軸力を伝達可能とするように共有設定するステップとを含み、前記軸力範囲が、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。   According to another aspect of the present invention, there is provided a model creation method including attaching a fastening member having a head, a screw portion, and a cylindrical portion between the head and the screw portion to each other. A fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created in order to calculate the characteristics of the assembly in which the two fastening members are screwed by the fastening member while being inserted into the hole. Then, two fastened member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastened members are prepared, and the fastened member model and the two fastened member models are assembled. And a step of defining a range of an axial force in which an axial force of the fastening member reaches the fastened member, and a region where the two fastened member models overlap each other. Detecting the shell elements facing each other of the two fastened member models positioned within the range of the axial force, and transmitting the axial force of the fastening member between the detected opposing shell elements The axial force range is defined by a boundary extending in a conical shape from the outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model side, and the conical shape Is inclined at a predetermined angle with respect to the central axis of the fastening member.

本発明の一態様又は別の一態様に係るモデル作成方法は、前記共有設定するステップの前に、前記締結部材モデルのネジ部対応領域を、雄ネジ外径に対応した直径を有する円柱形状に形成し、かつ前記被締結部材モデルのネジ穴として形成された取付穴対応領域を、雌ネジ内径に対応した直径を有する円柱形状に形成するステップと、前記締結部材モデルをその円筒部対応領域の長手方向中間で2分割するステップと、前記2分割された締結部材モデルのネジ部対応領域の直径と、前記被締結部材モデルの取付穴対応領域の直径とを一致させるステップとをさらに含む。   In the model creation method according to one aspect or another aspect of the present invention, before the sharing setting step, the screw portion corresponding region of the fastening member model is formed into a cylindrical shape having a diameter corresponding to the outer diameter of the male screw. Forming a mounting hole corresponding region formed as a screw hole of the fastened member model into a cylindrical shape having a diameter corresponding to the internal diameter of the female screw; and the fastening member model of the cylindrical portion corresponding region. The method further includes the step of dividing into two in the middle in the longitudinal direction, and the step of matching the diameter of the screw part corresponding region of the two-part fastening member model with the diameter of the attachment hole corresponding region of the fastened member model.

課題を解決するために、本発明の本発明の一態様又は別の一態様では、前述のモデル作成方法を、コンピュータに実行させるプログラムを提供する。   In order to solve the problem, in one aspect or another aspect of the present invention, a program for causing a computer to execute the above-described model creation method is provided.

課題を解決するために、本発明の本発明の一態様又は別の一態様では、前述のプログラムを記録したコンピュータ読取り可能な記録媒体を提供する。   In order to solve the problem, according to one aspect or another aspect of the present invention, a computer-readable recording medium in which the above-described program is recorded is provided.

課題を解決するために、本発明の一態様に係るモデル作成装置は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する装置であって、前記2つの被締結部材モデルが重なっている領域で前記2つの被締結部材モデルの互いに対向するシェル要素間について、前記締結部材の軸力を伝達可能とするように共有設定する共有手段と、前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義する軸力定義手段と、前記軸力定義手段により定義された軸力範囲外に位置する前記共有設定されたシェル要素を検出する検出手段と、前記検出手段により検出されたシェル要素間の共有設定を解除する解除手段とを備えている。   In order to solve the problem, a model creation device according to an aspect of the present invention includes two fastening members each having a head, a screw, and a cylindrical member between the head and the screw. A plurality of shell elements corresponding to the outer shape of the fastening member in order to calculate the characteristics of the assembly in which the two fastened members are screwed by the fastening member in a state of being inserted into the mounting hole of the fastened member; A fastening member model is created, two fastening member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastening members are created, and the fastening member model and the two fastening member models are An apparatus for creating a model of the assembled assembly, between the shell elements facing each other of the two fastened member models in an area where the two fastened member models overlap, The sharing means for sharing the axial force of the fastening member, the axial force defining means for defining the axial force range in which the axial force of the fastening member reaches the two fastened members, and the axial force Detecting means for detecting the shell element set to be shared located outside the axial force range defined by the defining means; and releasing means for releasing the sharing setting between the shell elements detected by the detecting means. .

本発明の一態様に係るモデル作成装置では、前記軸力定義手段が、前記軸力範囲を、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義するように構成され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。   In the model creation device according to an aspect of the present invention, the axial force defining means may have the axial force range conical from the outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model side. The conical boundary is inclined at a predetermined angle with respect to the central axis of the fastening member.

本発明の別の一態様に係るモデル作成装置は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する装置であって、前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義する軸力定義手段と、前記2つの被締結部材モデルが重なっている領域で前記軸力定義手段により定義された軸力範囲内に位置する前記2つの被締結部材モデルの互いに対向するシェル要素を検出する検出手段と、前記検出手段により検出されたシェル要素間について前記締結部材の軸力を伝達可能とするように共有設定する共有手段とを備え、前記軸力定義手段が、前記軸力範囲を、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義するように構成され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。   According to another aspect of the present invention, there is provided a model creating apparatus, wherein a fastening member having a head, a screw portion, and a cylindrical portion between the head and the screw portion is attached to two fastening members that overlap each other. A fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created in order to calculate the characteristics of the assembly in which the two fastening members are screwed by the fastening member while being inserted into the hole. Then, two fastened member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastened members are prepared, and the fastened member model and the two fastened member models are assembled. In the region where the axial force defining means for defining the axial force range in which the axial force of the fastening member reaches the two fastened members and the two fastened member models overlap with each other Previous Detecting means for detecting mutually opposing shell elements of the two fastened member models located within the axial force range defined by the axial force defining means; and between the shell elements detected by the detecting means, Sharing means for setting to share the axial force so that the axial force can be transmitted, and the axial force defining means determines the axial force range from the outer periphery of the head seating surface corresponding region of the fastening member model. The conical shape is defined by a boundary extending in a conical shape toward the side, and the conical boundary is inclined at a predetermined angle with respect to the central axis of the fastening member.

本発明の一態様又は別の一態様に係るモデル作成装置は、前記共有設定するステップの前に、前記締結部材モデルのネジ部対応領域を、雄ネジ外径に対応した直径を有する円柱形状に形成し、かつ前記被締結部材モデルのネジ穴として形成された取付穴対応領域を、雌ネジ内径に対応した直径を有する円柱形状に形成する形状変更手段と、前記締結部材モデルをその円筒部対応領域の長手方向中間で2分割する分割手段と、前記2分割された締結部材モデルのネジ部対応領域の直径と、前記被締結部材モデルの取付穴対応領域の直径とを一致させる直径調節手段とをさらに備えている。   In the model creation device according to one aspect or another aspect of the present invention, the screw portion corresponding region of the fastening member model is formed into a cylindrical shape having a diameter corresponding to the outer diameter of the male screw before the step of sharing setting. And a shape changing means for forming a mounting hole corresponding region formed as a screw hole of the fastened member model into a columnar shape having a diameter corresponding to a female screw inner diameter, and the fastening member model corresponding to the cylindrical portion Dividing means for dividing the region into two in the middle in the longitudinal direction of the region; diameter adjusting means for matching the diameter of the region corresponding to the threaded portion of the two divided fastening member model and the diameter of the region corresponding to the mounting hole of the fastened member model; Is further provided.

本発明によれば、以下の効果を得ることができる。本発明の一態様に係るモデル作成方法は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する方法であって、前記2つの被締結部材モデルが重なっている領域で前記2つの被締結部材モデルの互いに対向するシェル要素間について、前記締結部材の軸力を伝達可能とするように共有設定するステップと、前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義するステップと、前記定義された軸力範囲外に位置する前記共有設定されたシェル要素を検出するステップと、前記検出されたシェル要素間の共有設定を解除するステップとを含む。また、前記軸力範囲が、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界に囲まれており、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。本発明の別の一態様に係るモデル作成方法は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する方法であって、前記締結部材の軸力が前記被締結部材に及ぶ軸力範囲を定義するステップと、前記2つの被締結部材モデルが互いに重なっている領域で前記定義された軸力範囲内に位置する前記2つの被締結部材モデルの互いに対向するシェル要素を検出するステップと、前記検出された対向するシェル要素間について前記締結部材の軸力を伝達可能とするように共有設定するステップとを含み、前記軸力範囲が、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。そのため、締結部材の軸力と、2つの被締結部材同士の当接とを考慮して組立体の特性が計算されるので、シミュレーションの精度を高めることができる。特に、軸力範囲が円錐形状の境界によって簡単に再現されるので、作業者による締結条件の設定ミスを防ぐことができる。   According to the present invention, the following effects can be obtained. In the model creation method according to one aspect of the present invention, a fastening member having a head portion, a screw portion, and a cylindrical portion between the head portion and the screw portion is attached to mounting holes of two fastening members that overlap each other. In order to calculate the characteristics of the assembly in which the two fastened members are screwed by the fastening member in the inserted state, a fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created. A model of the assembly in which two fastened member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastened members are created, and the fastened member model and the two fastened member models are assembled. The axial force of the fastening member is transmitted between the shell elements facing each other in the two fastened member models in a region where the two fastened member models overlap. A shared setting so as to enable, a step of defining an axial force range in which the axial force of the fastening member reaches the two fastened members, and the shared setting positioned outside the defined axial force range. And detecting a sharing setting between the detected shell elements. The axial force range is surrounded by a boundary extending in a conical shape from the outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model, and the conical boundary is It is inclined at a predetermined angle with respect to the central axis of the fastening member. According to another aspect of the present invention, there is provided a model creation method including attaching a fastening member having a head, a screw portion, and a cylindrical portion between the head and the screw portion to each other. A fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created in order to calculate the characteristics of the assembly in which the two fastening members are screwed by the fastening member while being inserted into the hole. Then, two fastened member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastened members are prepared, and the fastened member model and the two fastened member models are assembled. And a step of defining a range of an axial force in which an axial force of the fastening member reaches the fastened member, and a region where the two fastened member models overlap each other. Detecting the shell elements facing each other of the two fastened member models positioned within the range of the axial force, and transmitting the axial force of the fastening member between the detected opposing shell elements The axial force range is defined by a boundary extending in a conical shape from the outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model side, and the conical shape Is inclined at a predetermined angle with respect to the central axis of the fastening member. Therefore, since the characteristics of the assembly are calculated in consideration of the axial force of the fastening member and the contact between the two fastened members, the accuracy of the simulation can be improved. In particular, since the axial force range is easily reproduced by the conical boundary, it is possible to prevent an operator from setting errors in the fastening conditions.

本発明の一態様又は別の一態様に係るモデル作成方法は、前記共有設定するステップの前に、前記締結部材モデルのネジ部対応領域を、雄ネジ外径に対応した直径を有する円柱形状に形成し、かつ前記被締結部材モデルのネジ穴として形成された取付穴対応領域を、雌ネジ内径に対応した直径を有する円柱形状に形成するステップと、前記締結部材モデルをその円筒部対応領域の長手方向中間で2分割するステップと、前記2分割された締結部材モデルのネジ部対応領域の直径と、前記被締結部材モデルの取付穴対応領域の直径とを一致させるステップとをさらに含むので、2分割された締結部材モデルのネジ部対応領域側の限られた範囲でのみ、締結部材のネジ部対応領域の直径を調節した状態でシェル要素が再定義されて、モデルの作成作業を簡略化できる。また、締結部材のネジ部と被締結部材のネジ穴との螺合を、2つの被締結部材間の共有設定と同様に定義できるので、締結部の締結条件を簡単に再現でき、作業者による締結条件の設定ミスを簡単に防ぐことができる。   In the model creation method according to one aspect or another aspect of the present invention, before the sharing setting step, the screw portion corresponding region of the fastening member model is formed into a cylindrical shape having a diameter corresponding to the outer diameter of the male screw. Forming a mounting hole corresponding region formed as a screw hole of the fastened member model into a cylindrical shape having a diameter corresponding to the internal diameter of the female screw; and the fastening member model of the cylindrical portion corresponding region. The method further includes a step of dividing into two in the middle in the longitudinal direction, and a step of matching a diameter of the screw part corresponding region of the two-part fastening member model with a diameter of the attachment hole corresponding region of the fastened member model. The model is created by redefining the shell elements with the diameter of the screw part corresponding region of the fastening member adjusted only within a limited range on the screw part corresponding region side of the two-part fastening member model. Work can be simplified. Moreover, since the screwing of the screw part of the fastening member and the screw hole of the fastened member can be defined in the same way as the shared setting between the two fastened members, the fastening condition of the fastening part can be easily reproduced, and the operator can It is possible to easily prevent setting errors in the fastening conditions.

本発明の本発明の一態様又は別の一態様では、前述のモデル作成方法を、コンピュータに実行させるプログラムを提供する。本発明の本発明の一態様又は別の一態様では、前述のプログラムを記録したコンピュータ読取り可能な記録媒体を提供する。そのため、前述のモデル作成方法を自動化して、作業者による締結条件の設定ミスを確実に防ぐことができる。   In one aspect or another aspect of the present invention, a program for causing a computer to execute the above-described model creation method is provided. In one aspect or another aspect of the present invention, a computer-readable recording medium in which the above-described program is recorded is provided. For this reason, the above-described model creation method can be automated to reliably prevent an operator from setting errors in the fastening conditions.

さらに、本発明の一態様に係るモデル作成装置は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する装置であって、前記2つの被締結部材モデルが重なっている領域で前記2つの被締結部材モデルの互いに対向するシェル要素間について、前記締結部材の軸力を伝達可能とするように共有設定する共有手段と、前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義する軸力定義手段と、前記軸力定義手段により定義された軸力範囲外に位置する前記共有設定されたシェル要素を検出する検出手段と、前記検出手段により検出されたシェル要素間の共有設定を解除する解除手段とを備えている。また、前記軸力定義手段が、前記軸力範囲を、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義するように構成され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。本発明の別の一態様に係るモデル作成装置は、頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する装置であって、前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義する軸力定義手段と、前記2つの被締結部材モデルが重なっている領域で前記軸力定義手段により定義された軸力範囲内に位置する前記2つの被締結部材モデルの互いに対向するシェル要素を検出する検出手段と、前記検出手段により検出されたシェル要素間について前記締結部材の軸力を伝達可能とするように共有設定する共有手段とを備え、前記軸力定義手段が、前記軸力範囲を、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義するように構成され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している。そのため、締結部材の軸力と、2つの被締結部材同士の当接とを考慮して組立体の特性が計算されるので、シミュレーションの精度を高めることができる。特に、軸力範囲が円錐形状の境界によって簡単に再現され、かつ軸力範囲に基づいて締結部の締結条件が自動的に設定されるので、作業者による締結条件の設定ミスを防ぐことができる。   Furthermore, the model creation device according to an aspect of the present invention is a method of attaching two fastening members that overlap a fastening member having a head, a screw part, and a cylindrical part between the head part and the screw part. A fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created in order to calculate the characteristics of the assembly in which the two fastening members are screwed by the fastening member while being inserted into the hole. Then, two fastened member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastened members are prepared, and the fastened member model and the two fastened member models are assembled. An apparatus for creating a model of the fastening member between the shell elements facing each other in the two fastened member models in a region where the two fastened member models overlap. Defined by the sharing means for setting the force so that the force can be transmitted, the axial force defining means for defining the axial force range in which the axial force of the fastening member reaches the two fastened members, and the axial force defining means. Detecting means for detecting the shared shell element positioned outside the axial force range, and releasing means for canceling the shared setting between the shell elements detected by the detecting means. Further, the axial force defining means is configured to define the axial force range by a boundary extending in a conical shape from the outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model. The conical boundary is inclined at a predetermined angle with respect to the central axis of the fastening member. According to another aspect of the present invention, there is provided a model creating apparatus, wherein a fastening member having a head, a screw portion, and a cylindrical portion between the head and the screw portion is attached to two fastening members that overlap each other. A fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created in order to calculate the characteristics of the assembly in which the two fastening members are screwed by the fastening member while being inserted into the hole. Then, two fastened member models each having a plurality of shell elements respectively corresponding to the outer shapes of the two fastened members are prepared, and the fastened member model and the two fastened member models are assembled. In the region where the axial force defining means for defining the axial force range in which the axial force of the fastening member reaches the two fastened members and the two fastened member models overlap with each other Previous Detecting means for detecting mutually opposing shell elements of the two fastened member models located within the axial force range defined by the axial force defining means; and between the shell elements detected by the detecting means, Sharing means for setting to share the axial force so that the axial force can be transmitted, and the axial force defining means determines the axial force range from the outer periphery of the head seating surface corresponding region of the fastening member model. The conical shape is defined by a boundary extending in a conical shape toward the side, and the conical boundary is inclined at a predetermined angle with respect to the central axis of the fastening member. Therefore, since the characteristics of the assembly are calculated in consideration of the axial force of the fastening member and the contact between the two fastened members, the accuracy of the simulation can be improved. In particular, the axial force range is easily reproduced by the conical boundary, and the fastening condition of the fastening portion is automatically set based on the axial force range, so that an erroneous setting of the fastening condition by the operator can be prevented. .

本発明の一態様又は別の一態様に係るモデル作成装置は、前記共有設定するステップの前に、前記締結部材モデルのネジ部対応領域を、雄ネジ外径に対応した直径を有する円柱形状に形成し、かつ前記被締結部材モデルのネジ穴として形成された取付穴対応領域を、雌ネジ内径に対応した直径を有する円柱形状に形成する形状変更手段と、前記締結部材モデルをその円筒部対応領域の長手方向中間で2分割する分割手段と、前記2分割された締結部材モデルのネジ部対応領域の直径と、前記被締結部材モデルの取付穴対応領域の直径とを一致させる直径調節手段とをさらに備えているので、2分割された締結部材モデルのネジ部対応領域側の限られた範囲でのみ、締結部材のネジ部対応領域の直径を調節した状態でシェル要素が再定義されて、モデルの作成作業を簡略化できる。また、締結部材のネジ部と被締結部材のネジ穴との螺合を、2つの被締結部材間の共有設定と同様に定義できるので、締結部の締結条件を簡単に再現でき、作業者による締結条件の設定ミスを簡単に防ぐことができる。   In the model creation device according to one aspect or another aspect of the present invention, the screw portion corresponding region of the fastening member model is formed into a cylindrical shape having a diameter corresponding to the outer diameter of the male screw before the step of sharing setting. And a shape changing means for forming a mounting hole corresponding region formed as a screw hole of the fastened member model into a columnar shape having a diameter corresponding to a female screw inner diameter, and the fastening member model corresponding to the cylindrical portion Dividing means for dividing the region into two in the middle in the longitudinal direction of the region; diameter adjusting means for matching the diameter of the region corresponding to the threaded portion of the two divided fastening member model and the diameter of the region corresponding to the mounting hole of the fastened member model; The shell element is redefined with the diameter of the screw part corresponding region of the fastening member adjusted only within a limited range on the screw part corresponding region side of the two-part fastening member model. It is possible to simplify the model of creating work. Moreover, since the screwing of the screw part of the fastening member and the screw hole of the fastened member can be defined in the same way as the shared setting between the two fastened members, the fastening condition of the fastening part can be easily reproduced, and the operator can It is possible to easily prevent setting errors in the fastening conditions.

本発明の第1実施形態に係るモデル作成装置のブロック図である。1 is a block diagram of a model creation device according to a first embodiment of the present invention. (a)本発明の第1実施形態にて用いられるボルトを概略的に示す側面図である。(b)本発明の第1実施形態にて用いられるボルトを概略的に示す底面図である。(A) It is a side view which shows roughly the volt | bolt used in 1st Embodiment of this invention. (B) It is a bottom view which shows roughly the volt | bolt used in 1st Embodiment of this invention. (a)本発明の第1実施形態にて用いられるボルトのモデルの側面図である。(b)本発明の第1実施形態にて用いられるボルトのモデルの底面図である。(A) It is a side view of the model of the volt | bolt used in 1st Embodiment of this invention. (B) It is a bottom view of the model of the volt | bolt used in 1st Embodiment of this invention. (a)本発明の第1実施形態にて用いられる第1の被締結部材を概略的に示す平面図である。(b)本発明の第1実施形態にて用いられる第1の被締結部材を、図4(a)のA−A線に沿って切断して概略的に示す断面図である。(A) It is a top view which shows roughly the 1st to-be-fastened member used in 1st Embodiment of this invention. (B) It is sectional drawing which shows schematically the 1st to-be-fastened member used in 1st Embodiment of this invention cut | disconnected along the AA line of Fig.4 (a). (a)本発明の第1実施形態にて用いられる第1の被締結部材のモデルの平面図である。(b)本発明の第1実施形態にて用いられる第1の被締結部材のモデルを、図5(a)のB−B線に沿って切断して概略的に示す断面図である。(A) It is a top view of the model of the 1st to-be-fastened member used in 1st Embodiment of this invention. (B) It is sectional drawing which shows schematically the model of the 1st to-be-fastened member used in 1st Embodiment of this invention cut | disconnected along the BB line of Fig.5 (a). (a)本発明の第1実施形態にて用いられる第2の被締結部材を概略的に示す平面図である。(b)本発明の第1実施形態にて用いられる第2の被締結部材を、図6(a)のC−C線に沿って切断して概略的に示す断面図である。(A) It is a top view which shows roughly the 2nd to-be-fastened member used in 1st Embodiment of this invention. (B) It is sectional drawing which shows the 2nd to-be-fastened member used in 1st Embodiment of this invention cut | disconnected along CC line of Fig.6 (a), and is shown roughly. (a)本発明の第1実施形態にて用いられる第2の被締結部材のモデルの平面図である。(b)本発明の第1実施形態にて用いられる第2の被締結部材のモデルを、図7(a)のD−D線に沿って切断して概略的に示す断面図である。(A) It is a top view of the model of the 2nd to-be-fastened member used in 1st Embodiment of this invention. (B) It is sectional drawing which cut | disconnects along the DD line | wire of Fig.7 (a), and shows schematically the model of the 2nd to-be-fastened member used in 1st Embodiment of this invention. (a)本発明の第1実施形態にて用いられるボルト、第1の被締結部材、及び第2の被締結部材を有する組立体を、概略的に示す平面図である。(b)本発明の第1実施形態にて用いられる組立体を、図8(a)のE−E線に沿って切断して概略的に示す断面図である。(A) It is a top view which shows roughly the assembly which has a volt | bolt used in 1st Embodiment of this invention, a 1st to-be-fastened member, and a 2nd to-be-fastened member. (B) It is sectional drawing which shows roughly the assembly used in 1st Embodiment of this invention along the EE line of Fig.8 (a). (a)本発明の第1実施形態にて用いられるボルトのモデル、第1の被締結部材のモデル、及び第2の被締結部材のモデルを有する組立体のモデルを、概略的に示す平面図である。(b)本発明の第1実施形態にて用いられる組立体のモデルを、組立て配置直後の初期状態で、図9(a)のF−F線に沿って切断して概略的に示す断面図である。(A) The top view which shows schematically the model of the assembly which has the model of the volt | bolt used in 1st Embodiment of this invention, the model of the 1st to-be-fastened member, and the 2nd to-be-fastened member. It is. (B) A cross-sectional view schematically showing an assembly model used in the first embodiment of the present invention, cut along line FF in FIG. 9 (a) in an initial state immediately after assembly and arrangement. It is. 本発明の第1実施形態にて用いられるボルトのモデル、第1の被締結部材のモデル、及び第2の被締結部材のモデルを有する組立体のモデルを、第2の被締結部材のネジ穴直径を変更した状態で、図9(a)のF−F線に沿って切断して概略的に示す図である。The bolt model used in the first embodiment of the present invention, the model of the first member to be fastened, and the model of the assembly including the model of the second member to be fastened are screw holes of the second member to be fastened. FIG. 10 is a diagram schematically showing a cut along the FF line in FIG. 9A in a state where the diameter is changed. 本発明の第1実施形態に係るモデル作成方法のフローチャートである。It is a flowchart of the model creation method which concerns on 1st Embodiment of this invention. 本発明の第2実施形態に係るモデル作成方法のフローチャートである。It is a flowchart of the model creation method which concerns on 2nd Embodiment of this invention.

[第1実施形態]
本発明の第1実施形態に係るモデル作成方法、このようなモデル作成方法をコンピュータに実行させるためのプログラム、及びこのようなプログラムを記録したコンピュータ読取り可能とする記録媒体、並びにモデル作成装置について説明する。なお、第1実施形態では、モデルは振動解析に用いられるものとして説明する。
[First Embodiment]
A model creation method according to a first embodiment of the present invention, a program for causing a computer to execute such a model creation method, a computer-readable recording medium in which such a program is recorded, and a model creation device will be described. To do. In the first embodiment, the model is described as being used for vibration analysis.

図1を参照してモデル作成装置1について説明する。モデル作成装置1は、モデルの作成に関連するデータを入力可能とする入力部2と、モデルを作成するための計算処理を可能とする中央演算部3と、中央演算部3により計算処理されるデータを記憶可能とする記憶部4と、モデルの作成に関連するデータを記録可能とする記録部5と、計算処理の結果を出力可能とする表示部6とを備えている。また、モデル作成装置1は、記録媒体7を読取り可能とする記録媒体読取装置8を備えている。モデル装置1には、ネットワーク等を介してモデル装置1の外部の記録装置9が接続されている。記録部5に、第1実施形態に係るモデル作成方法をモデル作成装置1に実行させるためのプログラム10が記録されている。なお、記録媒体7に記録されたプログラム10が記録媒体読取装置8によって読取られ、読取られたプログラム10によってモデル作成装置1がモデル作成方法を実行するようになっていてもよい。さらに、記録装置9には、モデルの作成に用いられる部品データ11が記録されている。   The model creation apparatus 1 will be described with reference to FIG. The model creation device 1 is calculated by an input unit 2 that enables input of data related to model creation, a central processing unit 3 that enables calculation processing for creating a model, and a central processing unit 3. A storage unit 4 that can store data, a recording unit 5 that can record data related to model creation, and a display unit 6 that can output the results of calculation processing are provided. The model creation device 1 also includes a recording medium reading device 8 that can read the recording medium 7. A recording device 9 external to the model device 1 is connected to the model device 1 via a network or the like. A program 10 for causing the model creation device 1 to execute the model creation method according to the first embodiment is recorded in the recording unit 5. Note that the program 10 recorded on the recording medium 7 may be read by the recording medium reader 8, and the model creation apparatus 1 may execute the model creation method by the read program 10. Further, the recording device 9 records component data 11 used for creating a model.

一例として、入力部2はキーボード及びマウスであるとよい。中央演算部3は、CPU(Central Processing Unit)であるとよい。記憶部4は、RAM(Random Access Memory)又はハードディスクドライブであるとよい。記録部5はハードディスクドライブであるとよい。表示部6はモニタになっているとよい。記録媒体7は、磁気テープ、磁気ディスク、光ディスク、光磁気ディスク、フラッシュメモリ等になっているとよい。記録媒体読取装置8は、磁気テープドライブ、磁気ディスクドライブ、光ディスクドライブ、光磁気ディスクドライブ、フラッシュメモリドライブ等になっているとよい。記録装置9は、ハードディスクドライブになっているとよい。   As an example, the input unit 2 may be a keyboard and a mouse. The central processing unit 3 may be a CPU (Central Processing Unit). The storage unit 4 may be a RAM (Random Access Memory) or a hard disk drive. The recording unit 5 may be a hard disk drive. The display unit 6 may be a monitor. The recording medium 7 may be a magnetic tape, a magnetic disk, an optical disk, a magneto-optical disk, a flash memory, or the like. The recording medium reader 8 may be a magnetic tape drive, magnetic disk drive, optical disk drive, magneto-optical disk drive, flash memory drive, or the like. The recording device 9 may be a hard disk drive.

第1実施形態において作成されるモデルについて、図2〜図10を参照して説明する。ここでは、図2(a)及び図2(b)に示されるような締結部材のボルト21に基づいて、図3(a)及び図3(b)に示されるようなボルトモデル31を作成する。図4(a)及び図4(b)に示されるような第1の被締結部材(以下、「第1の部材」という)22に基づいて、図5(a)及び図5(b)に示されるような第1の部材モデル32を作成する。図6(a)及び図6(b)に示されるような第2の被締結部材(以下、「第2の部材」という)23に基づいて、図7(a)及び図7(b)に示されるような第2の部材モデル33を作成する。さらに、図8(a)及び図8(b)に示されるようなボルト21と第1の部材22と第2の部材23とを組立てた組立体24に基づいて、図9(a)、図9(b)、及び図10に示されるようなボルトモデル31と第1の部材モデル32と第2の部材モデル33とを組立てた組立体モデル34を作成する。   A model created in the first embodiment will be described with reference to FIGS. Here, a bolt model 31 as shown in FIGS. 3 (a) and 3 (b) is created based on the bolt 21 of the fastening member as shown in FIGS. 2 (a) and 2 (b). . Based on a first fastened member (hereinafter referred to as “first member”) 22 as shown in FIGS. 4A and 4B, FIG. 5A and FIG. Create a first member model 32 as shown. Based on a second member to be fastened (hereinafter referred to as “second member”) 23 as shown in FIGS. 6A and 6B, FIG. 7A and FIG. Create a second member model 33 as shown. Furthermore, based on the assembly 24 in which the bolt 21, the first member 22, and the second member 23 are assembled as shown in FIGS. 8A and 8B, FIG. 9A and FIG. 9 (b) and an assembly model 34 in which the bolt model 31, the first member model 32, and the second member model 33 are assembled as shown in FIG.

ボルト21及びボルトモデル31について、図2及び図3を参照して説明する。図2(a)及び図2(b)を参照すると、ボルト21は、頭部21aと、雄ネジ形状に形成されたネジ部21bと、頭部21a及びネジ部21b間に位置する円柱形状の円筒部21cとを有している。頭部21aには、円筒部21cからボルト21の外周方向に延びる頭部座面21dが形成されている。   The bolt 21 and the bolt model 31 will be described with reference to FIGS. Referring to FIGS. 2A and 2B, the bolt 21 has a head portion 21a, a screw portion 21b formed in a male screw shape, and a cylindrical shape located between the head portion 21a and the screw portion 21b. And a cylindrical portion 21c. A head seat surface 21d extending in the outer peripheral direction of the bolt 21 from the cylindrical portion 21c is formed on the head portion 21a.

図3(a)及び図3(b)を参照すると、このようなボルト21に対応するボルトモデル31は、ボルト21の外形に対応する複数のシェル要素w1によって構成されている。これらのシェル要素w1は、三角形状又は四角形状に形成されている。ボルトモデル31は、頭部21aに対応する頭部対応領域31aと、ネジ部21bに対応するネジ部対応領域31bと、円筒部21cに対応する円筒部対応領域31cと、頭部座面21dに対応する座面対応領域31dとを有している。ネジ部対応領域31bは、ネジ部21bの雄ネジ外径と等しい直径d1を有する円柱形状に形成されている。   Referring to FIG. 3A and FIG. 3B, the bolt model 31 corresponding to the bolt 21 is constituted by a plurality of shell elements w <b> 1 corresponding to the outer shape of the bolt 21. These shell elements w1 are formed in a triangular shape or a quadrangular shape. The bolt model 31 includes a head corresponding region 31a corresponding to the head 21a, a screw corresponding region 31b corresponding to the screw portion 21b, a cylindrical corresponding region 31c corresponding to the cylindrical portion 21c, and a head seating surface 21d. And a corresponding seating surface corresponding region 31d. The screw portion corresponding region 31b is formed in a cylindrical shape having a diameter d1 equal to the male screw outer diameter of the screw portion 21b.

第1の部材22及び第1の部材モデル32について、図4及び図5を参照して説明する。図4(a)及び図4(b)を参照すると、第1の部材22は、頂面22aと、この頂面22aに対向する底面22bとを有している。また、第1の部材22には、頂面22aと底面22bとの間で貫通する取付穴22cが形成されている。取付穴22cは、ボルト21のネジ部21bの雄ネジ外径より大きく形成されている。   The first member 22 and the first member model 32 will be described with reference to FIGS. 4 and 5. Referring to FIGS. 4A and 4B, the first member 22 has a top surface 22a and a bottom surface 22b opposite to the top surface 22a. The first member 22 has a mounting hole 22c penetrating between the top surface 22a and the bottom surface 22b. The attachment hole 22c is formed larger than the male screw outer diameter of the screw portion 21b of the bolt 21.

図5(a)及び図5(b)を参照すると、このような第1の部材22に対応する第1の部材モデル32は、第1の部材22の外形に対応する複数のシェル要素w2によって構成されている。これらのシェル要素w2は、四角形状に形成されている。第1の部材モデル32は、頂面22aに対応する頂面対応領域32aと、底面22bに対応する底面対応領域32bと、取付穴22cに対応する取付穴対応領域32cとを有している。   Referring to FIGS. 5A and 5B, the first member model 32 corresponding to the first member 22 is formed by a plurality of shell elements w2 corresponding to the outer shape of the first member 22. It is configured. These shell elements w2 are formed in a square shape. The first member model 32 has a top surface corresponding region 32a corresponding to the top surface 22a, a bottom surface corresponding region 32b corresponding to the bottom surface 22b, and a mounting hole corresponding region 32c corresponding to the mounting hole 22c.

第2の部材23及び第2の部材モデル33について、図6及び図7を参照して説明する。図6(a)及び図6(b)を参照すると、第2の部材23は頂面23aを有している。また、第2の部材23には、頂面23aから凹んで形成されたネジ穴23bが形成されている。ネジ穴23bは、ボルト21のネジ部21bに対応して雌ネジ形状に形成されている。   The 2nd member 23 and the 2nd member model 33 are demonstrated with reference to FIG.6 and FIG.7. Referring to FIGS. 6A and 6B, the second member 23 has a top surface 23a. Further, the second member 23 is formed with a screw hole 23b formed to be recessed from the top surface 23a. The screw hole 23 b is formed in a female screw shape corresponding to the screw portion 21 b of the bolt 21.

図7(a)及び図7(b)を参照すると、このような第2の部材23に対応する第2の部材モデル33は、第2の部材23の外形に対応する複数のシェル要素w3によって構成されている。これらのシェル要素w3は、四角形状に形成されている。第2の部材モデル33は、頂面23aに対応する頂面対応領域33aと、ネジ穴23bに対応するネジ穴対応領域33bとを有している。ネジ穴対応領域33bは、ネジ穴23bの雌ネジ内径と等しい直径d2を有する円柱形状に形成されている。   Referring to FIG. 7A and FIG. 7B, the second member model 33 corresponding to the second member 23 is formed by a plurality of shell elements w3 corresponding to the outer shape of the second member 23. It is configured. These shell elements w3 are formed in a square shape. The second member model 33 has a top surface corresponding region 33a corresponding to the top surface 23a and a screw hole corresponding region 33b corresponding to the screw hole 23b. The screw hole corresponding region 33b is formed in a cylindrical shape having a diameter d2 equal to the inner diameter of the female screw of the screw hole 23b.

組立体24及び組立体モデル34について、図8〜図10を参照して説明する。図8(a)及び図8(b)を参照すると、第1の部材22と第2の部材23とは重ねて配置されており、第1の部材22の底面22bと第2の部材23の頂面23aとが互いに当接している。第1の部材22の取付穴22c中心と、第2の部材23のネジ穴23b中心とはボルト軸線上に配置されている。このような第1の部材22の取付穴22c及び第2の部材23のネジ穴23bには、ボルト21のネジ部21b及び円筒部21cが、第1の部材22から第2の部材23に向かって挿通されている。ボルト21のネジ部21bは、第2の部材23のネジ穴23bに螺合され、頭部座面21dは第1の部材22の頂面22aと当接している。   The assembly 24 and the assembly model 34 will be described with reference to FIGS. Referring to FIG. 8A and FIG. 8B, the first member 22 and the second member 23 are arranged so as to overlap each other, and the bottom surface 22b of the first member 22 and the second member 23 are arranged. The top surface 23a is in contact with each other. The center of the mounting hole 22c of the first member 22 and the center of the screw hole 23b of the second member 23 are disposed on the bolt axis. In the mounting hole 22 c of the first member 22 and the screw hole 23 b of the second member 23, the screw portion 21 b and the cylindrical portion 21 c of the bolt 21 are directed from the first member 22 to the second member 23. Is inserted. The screw portion 21 b of the bolt 21 is screwed into the screw hole 23 b of the second member 23, and the head seat surface 21 d is in contact with the top surface 22 a of the first member 22.

図9(a)及び図9(b)を参照すると、第1の部材モデル32と第2の部材モデル33とは重ねて配置されており、第1の部材モデル32の底面対応領域32bと第2の部材モデル33の頂面対応領域33aとが互いに対向している。第1の部材モデル32の取付穴対応領域32c中心と、第2の部材モデル33のネジ穴対応領域33b中心とはボルトモデル31の中心軸線31e上に配置されている。このような第1の部材モデル32の取付穴対応領域32c及び第2の部材モデル33のネジ穴対応領域33bには、ボルトモデル31のネジ部対応領域31b及び円筒部対応領域31cが、第1の部材モデル32から第2の部材モデル33に向かって挿通されている。ボルトモデル31の座面対応領域31dは、第1の部材モデル32の頂面対応領域32aに対向している。   9A and 9B, the first member model 32 and the second member model 33 are arranged so as to overlap each other, and the bottom surface corresponding region 32b of the first member model 32 and the first member model 32 are arranged. The top surface corresponding regions 33a of the two member models 33 face each other. The center of the attachment hole corresponding region 32 c of the first member model 32 and the center of the screw hole corresponding region 33 b of the second member model 33 are arranged on the central axis 31 e of the bolt model 31. In the mounting hole corresponding region 32c of the first member model 32 and the screw hole corresponding region 33b of the second member model 33, the screw portion corresponding region 31b and the cylindrical portion corresponding region 31c of the bolt model 31 are the first. The member model 32 is inserted toward the second member model 33. The bearing surface corresponding region 31 d of the bolt model 31 faces the top surface corresponding region 32 a of the first member model 32.

ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33を組立位置に配置した直後の初期状態では、図9(a)及び図9(b)に示すように、ボルトモデル31のネジ部対応領域31bは、第2の部材モデル33のネジ穴対応領域33bの周辺部分と重なった状態になっている。そこで、図10に示すように、ボルトモデル31は、その円筒部対応領域31cの長手方向中間で2分割されて、2分割されたボルトモデル31のネジ部対応領域31b側では、ボルトモデル31のネジ部対応領域31bの直径d1が、第2の部材モデル33のネジ穴対応領域33bの直径d2と一致する直径d1’に調節される。この直径調節後では、ボルトモデル31のネジ部対応領域31bの外周面と、第2の部材モデル33のネジ穴対応領域33bの内周面とが互いに対向することとなる。   In an initial state immediately after the bolt model 31, the first member model 32, and the second member model 33 are arranged at the assembly position, as shown in FIGS. 9A and 9B, the bolt model 31 The screw portion corresponding region 31 b is in a state of being overlapped with the peripheral portion of the screw hole corresponding region 33 b of the second member model 33. Therefore, as shown in FIG. 10, the bolt model 31 is divided into two in the middle in the longitudinal direction of the cylindrical portion corresponding region 31c, and on the screw portion corresponding region 31b side of the two divided bolt models 31, The diameter d1 of the screw portion corresponding region 31b is adjusted to a diameter d1 ′ that matches the diameter d2 of the screw hole corresponding region 33b of the second member model 33. After this diameter adjustment, the outer peripheral surface of the screw part corresponding region 31b of the bolt model 31 and the inner peripheral surface of the screw hole corresponding region 33b of the second member model 33 face each other.

ここで、図10に示すように、ボルトモデル31の座面対応領域31dの外周からボルトモデル31の長手方向に延びる中心軸線31eに対して角度θ傾斜して第1の部材モデル32及び第2の部材モデル33に向かって円錐形状に延びる境界Uが、ボルト21の軸力が及ぶ範囲を画成しており、互いに対向する第1の部材モデル32の底面対応領域32bにおけるシェル要素w2と第2の部材モデル33の頂面対応領域33aにおけるシェル要素w3とが、境界Uに囲まれた第1の共有設定範囲R1(太線で示す)で、互いに力を伝達可能とするように共有設定されている。また、互いに対向するボルトモデル31の座面対応領域31dのシェル要素w1と、第1の部材モデル32の頂面対応領域32aのシェル要素w2とが、第2の共有設定範囲R2(太線で示す)で、互いに力を伝達可能とするように共有設定されている。互いに対向するボルトモデル31のネジ部対応領域31bの外周面におけるシェル要素w1と、第2の部材モデル33のネジ穴対応領域33bの内周面におけるシェル要素w3とが、第3の共有設定範囲R3(太線で示す)で、互いに力を伝達可能とするように共有設定されている。さらに、2分割されたボルトモデル31同士もまた、第3の共有設定範囲R4(太線で示す)で、互いに力を伝達可能とするように共有設定されている。ここで、「共有設定」は、対向するシェル要素の一方に作用する力が対向するシェル要素の他方に同様に伝達され、かつ対向するシェル要素の他方に作用する力が対向するシェル要素の一方に同様に伝達するように、対向するシェル要素間の条件を設定することを意味する。   Here, as shown in FIG. 10, the first member model 32 and the second member are inclined at an angle θ with respect to a central axis 31 e extending in the longitudinal direction of the bolt model 31 from the outer periphery of the bearing surface corresponding region 31 d of the bolt model 31. The boundary U extending in a conical shape toward the member model 33 defines a range in which the axial force of the bolt 21 extends, and the shell element w2 and the first shell element w2 in the bottom surface corresponding region 32b of the first member model 32 facing each other. The shell element w3 in the top surface corresponding region 33a of the second member model 33 is set so as to be able to transmit force to each other in the first sharing setting range R1 (indicated by a thick line) surrounded by the boundary U. ing. Further, the shell element w1 of the seating surface corresponding region 31d of the bolt model 31 and the shell element w2 of the top surface corresponding region 32a of the first member model 32 that are opposed to each other are the second shared setting range R2 (indicated by a bold line). ), Sharing settings are made so that forces can be transmitted to each other. The shell element w1 on the outer peripheral surface of the screw part corresponding region 31b of the bolt model 31 and the shell element w3 on the inner peripheral surface of the screw hole corresponding region 33b of the second member model 33 are the third common setting range. R3 (indicated by a bold line) is set to be shared so that forces can be transmitted to each other. Further, the two divided bolt models 31 are also set to share each other in the third sharing setting range R4 (indicated by a bold line). Here, “shared setting” means that a force acting on one of the opposing shell elements is similarly transmitted to the other of the opposing shell elements, and a force acting on the other of the opposing shell elements is one of the opposing shell elements. This means that the condition between the opposing shell elements is set so as to transmit similarly.

なお、ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33の形状、及び物性に関する情報、ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33を組立体34の状態に組立てるための位置情報、ボルト21の軸力範囲を画成するための円錐形状の境界Uを定める角度θの情報等は、図1に示された部品データ11に含まれている。また、角度θは、例えば、実験結果等により得られたボルト21の特性に基づいて予め定めることができる。   The information about the shape and physical properties of the bolt model 31, the first member model 32, and the second member model 33, the bolt model 31, the first member model 32, and the second member model 33 are assembled into the assembly 34. The position information for assembling in this state, information on the angle θ defining the boundary U of the conical shape for defining the axial force range of the bolt 21 and the like are included in the component data 11 shown in FIG. Further, the angle θ can be determined in advance based on, for example, the characteristics of the bolt 21 obtained from experimental results or the like.

ここで、第1実施形態に係るモデル作成方法について説明する。まず、作業者によって実施される操作について説明する。作業者が、表示部6を見ながら、ボルト21、第1の部材22、及び第2の部材23の形状、物性、及び組立時の位置情報と、軸力範囲を画成するための角度θの情報とを、外部の記録装置9に記録された部品データ11から抽出して、モデル作成装置1に送るように入力部2を操作する。作業者が、これらの情報に基づいて、ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33を作成し、かつボルトモデル31、第1の部材モデル32、第2の部材モデル33を組立体34の状態に組立てるべくプログラム10を起動する。   Here, the model creation method according to the first embodiment will be described. First, operations performed by an operator will be described. The angle θ for the operator to define the axial force range and the shape information, physical properties, and positional information of the bolt 21, the first member 22, and the second member 23 while viewing the display unit 6. Is extracted from the component data 11 recorded in the external recording device 9 and the input unit 2 is operated so as to be sent to the model creation device 1. An operator creates a bolt model 31, a first member model 32, and a second member model 33 based on these information, and the bolt model 31, the first member model 32, and the second member model. The program 10 is started to assemble 33 into the state of the assembly 34.

次いで、プログラム10に基づいてモデル作成装置1が実行するモデル作成方法について、図11を参照して説明する。
(1)ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33をそれぞれ作成する。(S1)
(2)ボルトモデル31のネジ部対応領域31bを、ボルト21のネジ部21bの雄ネジ外径と等しい直径d1を有する円柱形状に形成する。第2の部材モデル33のネジ穴対応領域33bを、第2の部材23のネジ穴23bの雌ネジ内径と等しい直径d2を有する円柱形状に形成する。(S2)
(3)ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33を、組立体34の状態となるように配置する。(S3)
(4)ボルトモデル31を、その円筒部対応領域31cの長手方向中間で2分割する。(S4)
(5)2分割されたボルトモデル31のネジ部対応領域31b側で、ボルトモデル31のネジ部対応領域31bの直径d1を第2の部材モデル33のネジ穴対応領域33bの直径d2と一致する直径d1’に調節するように、シェル要素w1’を再作成する。その後、2分割されたボルトモデル同士を、互いに力伝達可能とするように共有設定する。(S5)
(6)互いに対向する第1の部材モデル32の底面対応領域32bにおけるシェル要素w2と、第2の部材モデル33の頂面対応領域33aにおけるシェル要素w3との組合せのすべてを、互いに力を伝達可能とするように共有設定する。互いに対向するボルトモデル31の座面対応領域31dのシェル要素w1と、第1の部材モデル32の頂面対応領域32aのシェル要素w2との組合せのすべてを、互いに力伝達可能とするように共有設定する。互いに対向するボルトモデル31のネジ部対応領域31bの外周面におけるシェル要素w1’と、第2の部材モデル33のネジ穴対応領域33bの内周面におけるシェル要素w3との組合せのすべてを、互いに力伝達可能とするように共有設定する。(S6)
(7)ボルトモデル31の中心軸線31eに対する角度θに基づいて円錐形状の境界Uを定義する。(S7)
(8)第1の部材モデル32と第2の部材モデル33との間で共有設定された一組のシェル要素w2,w3を選定する。(S8)
(9)選定された一組のシェル要素w2,w3が、境界Uに囲まれた範囲内に位置するか否かを判定する。(S9)
(10)選定された一組のシェル要素w2,w3が境界Uに囲まれた範囲内に位置する場合(YES)、この一組のシェル要素w2,w3間の共有設定を維持する。(S10)
(11)選定された一組のシェル要素w2,w3が境界Uに囲まれた範囲内に位置しない場合(NO)、この一組のシェル要素w2,w3間の共有設定を解除する。(S11)
(12)判定を行った一組のシェル要素w2,w3が判定済であることを記録する。(S12)
(13)第1の部材モデル32と第2の部材モデル33との間で共有設定されたすべての組のシェル要素w2,w3に対して判定を実施したか否かを判断する。(S13)
(14)共有設定されたすべての組のシェル要素w2,w3に対して判定を実施していた場合(YES)、作業を終了する。
(15)共有設定されたすべての組のシェル要素w2,w3に対して判定を実施していない場合(NO)、判定を行っていない一組のシェル要素w2,w3を選定する。(S14)
(16)選定された一組のシェル要素w2,w3が境界Uに囲まれた範囲内に位置するか否かを判定する。(S9)
なお、このように作成される組立体モデル34は表示部6に表示される。
Next, a model creation method executed by the model creation device 1 based on the program 10 will be described with reference to FIG.
(1) A bolt model 31, a first member model 32, and a second member model 33 are created. (S1)
(2) The screw part corresponding region 31b of the bolt model 31 is formed in a cylindrical shape having a diameter d1 equal to the male screw outer diameter of the screw part 21b of the bolt 21. The screw hole corresponding region 33b of the second member model 33 is formed in a cylindrical shape having a diameter d2 equal to the female screw inner diameter of the screw hole 23b of the second member 23. (S2)
(3) The bolt model 31, the first member model 32, and the second member model 33 are arranged so as to be in the state of the assembly. (S3)
(4) The bolt model 31 is divided into two at the middle in the longitudinal direction of the cylindrical portion corresponding region 31c. (S4)
(5) On the screw portion corresponding region 31b side of the divided bolt model 31, the diameter d1 of the screw portion corresponding region 31b of the bolt model 31 is equal to the diameter d2 of the screw hole corresponding region 33b of the second member model 33. Recreate shell element w1 ′ to adjust to diameter d1 ′. Thereafter, the two divided bolt models are set so as to be able to transmit force to each other. (S5)
(6) Forces are transmitted to all the combinations of the shell element w2 in the bottom surface corresponding region 32b of the first member model 32 and the shell element w3 in the top surface corresponding region 33a of the second member model 33 facing each other. Set sharing as possible. All the combinations of the shell element w1 of the bearing surface corresponding region 31d of the bolt model 31 facing each other and the shell element w2 of the top surface corresponding region 32a of the first member model 32 are shared so that force can be transmitted to each other. Set. All the combinations of the shell element w1 ′ on the outer peripheral surface of the screw part corresponding region 31b of the bolt model 31 and the shell element w3 on the inner peripheral surface of the screw hole corresponding region 33b of the second member model 33 are mutually Set sharing so that force can be transmitted. (S6)
(7) A conical boundary U is defined based on the angle θ with respect to the central axis 31e of the bolt model 31. (S7)
(8) A set of shell elements w2, w3 that are shared between the first member model 32 and the second member model 33 are selected. (S8)
(9) It is determined whether or not the selected set of shell elements w2 and w3 are located within a range surrounded by the boundary U. (S9)
(10) When the set of selected shell elements w2 and w3 are located within the range surrounded by the boundary U (YES), the shared setting between the set of shell elements w2 and w3 is maintained. (S10)
(11) When the selected set of shell elements w2, w3 is not located within the range surrounded by the boundary U (NO), the sharing setting between the set of shell elements w2, w3 is canceled. (S11)
(12) Record that the determined set of shell elements w2, w3 has been determined. (S12)
(13) It is determined whether or not the determination has been performed for all the sets of shell elements w2 and w3 that are shared between the first member model 32 and the second member model 33. (S13)
(14) If determination has been performed for all sets of shell elements w2 and w3 that are set to be shared (YES), the operation ends.
(15) When determination is not performed for all sets of shell elements w2 and w3 that are set to be shared (NO), a set of shell elements w2 and w3 that are not determined is selected. (S14)
(16) It is determined whether or not the selected set of shell elements w2 and w3 are located within a range surrounded by the boundary U. (S9)
The assembly model 34 created in this way is displayed on the display unit 6.

以上のように本発明の第1実施形態によれば、ボルト21の軸力と、第1の部材22の底面22b及び第2の部材23の頂面23aの当接とを考慮して組立体24の特性が計算されるので、シミュレーションの精度を高めることができる。また、軸力範囲が、円錐形状の境界Uによって簡単に再現され、かつ軸力範囲に基づいてボルト21の締結条件が自動的に設定されるので、作業者による締結条件の設定ミスを防ぐことができる。   As described above, according to the first embodiment of the present invention, the assembly is performed in consideration of the axial force of the bolt 21 and the contact between the bottom surface 22b of the first member 22 and the top surface 23a of the second member 23. Since 24 characteristics are calculated, the accuracy of the simulation can be increased. Further, since the axial force range is easily reproduced by the conical boundary U, and the fastening condition of the bolt 21 is automatically set based on the axial force range, it is possible to prevent an erroneous setting of the fastening condition by the operator. Can do.

本発明の第1実施形態によれば、2分割されたボルトモデル31のネジ部対応領域31b側の限られた範囲でのみ、ネジ部対応領域31bの直径を調節した状態でシェル要素w1’が再定義されるので、モデルの作成作業を簡略化できる。ボルト21のネジ部21b及び第2の部材23のネジ穴23bの螺合を、ボルトモデル31の座面対応領域31d及び第1の部材モデル32の頂面対応領域32a間の共有設定と、第1の部材モデル32の底面対応領域32b及び第2の部材モデル33の頂面対応領域33a間の共有設定と同様に定義できるので、ボルト21の締結条件を簡単に再現でき、作業者による締結条件の設定ミスを簡単に防ぐことができる。   According to the first embodiment of the present invention, the shell element w1 ′ is adjusted in a state where the diameter of the screw portion corresponding region 31b is adjusted only in a limited range on the screw portion corresponding region 31b side of the two-divided bolt model 31. Since it is redefined, model creation can be simplified. The screw 21b of the bolt 21 and the screw hole 23b of the second member 23 are screwed together with the shared setting between the bearing surface corresponding region 31d of the bolt model 31 and the top surface corresponding region 32a of the first member model 32, and Since it can be defined similarly to the shared setting between the bottom surface corresponding region 32b of the first member model 32 and the top surface corresponding region 33a of the second member model 33, the fastening condition of the bolt 21 can be easily reproduced, and the fastening condition by the operator Can be easily prevented.

本発明の第1実施形態によれば、記録部5又は記録媒体7に記録されたプログラム10によってモデル作成装置1が、前述のモデル作成方法を実行するので、前述のモデル作成方法が自動化されて、作業者による締結条件の設定ミスを確実に防ぐことができる。   According to the first embodiment of the present invention, since the model creation apparatus 1 executes the above-described model creation method by the program 10 recorded in the recording unit 5 or the recording medium 7, the above-described model creation method is automated. Thus, it is possible to reliably prevent the setting error of the fastening condition by the operator.

[第2実施形態]
本発明の第2実施形態に係るモデル作成方法、このモデル作成方法をコンピュータに実行させるためのプログラム、及びこのプログラムを記録したコンピュータ読取り可能とする記録媒体、並びにモデル作成装置について以下に説明する。第2実施形態は、基本的には、第1実施形態と同様になっている。第1実施形態と同様な要素は、第1実施形態と同様の符号および名称を用いて説明する。ここでは、第1実施形態と異なる構成について説明する。
[Second Embodiment]
A model creation method according to a second embodiment of the present invention, a program for causing a computer to execute the model creation method, a computer-readable recording medium on which the program is recorded, and a model creation device will be described below. The second embodiment is basically the same as the first embodiment. Elements similar to those in the first embodiment will be described using the same symbols and names as those in the first embodiment. Here, a configuration different from the first embodiment will be described.

第2実施形態において、プログラム10に基づいてモデル作成装置1が実行するモデル作成方法について、図12を参照して説明する。
(1)ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33をそれぞれ作成する。(S21)
(2)ボルトモデル31のネジ部対応領域31bを、ボルト21のネジ部21bの雄ネジ外径と等しい直径d1を有する円柱形状に形成する。第2の部材モデル33のネジ穴対応領域33bを、第2の部材23のネジ穴23bの雌ネジ内径と等しい直径d2を有する円柱形状に形成する。(S22)
(3)ボルトモデル31、第1の部材モデル32、及び第2の部材モデル33を、組立体34の状態となるように配置する。(S23)
(4)ボルトモデル31を、その円筒部対応領域31cの長手方向中間で2分割する。(S24)
(5)2分割されたボルトモデル31のネジ部対応領域31b側で、ボルトモデル31のネジ部対応領域31bの直径d1を第2の部材モデル33のネジ穴対応領域33bの直径d2と一致する直径d1’に調節するように、シェル要素w1’を再作成する。その後、2分割されたボルトモデル同士を、互いに力伝達可能とするように共有設定する。(S25)
(6)互いに対向するボルトモデル31の座面対応領域31dのシェル要素w1と、第1の部材モデル32の頂面対応領域32aのシェル要素w2との組合せのすべてを、互いに力を伝達可能とするように共有設定する。互いに対向するボルトモデル31のネジ部対応領域31bの外周面におけるシェル要素w1’と、第2の部材モデル33のネジ穴対応領域33bの内周面におけるシェル要素w3との組合せのすべてを、互いに力を伝達可能とするように共有設定する。(S26)
(7)ボルトモデル31の中心軸線31eに対する角度θに基づいて円錐形状の境界Uを定義する。(S27)
(8)第1の部材モデル32と第2の部材モデル33との間で対向する一組のシェル要素w2,w3を選定する。(S28)
(9)選定された一組のシェル要素w2,w3が境界Uに囲まれた範囲内に位置するか否かを判定する。(S29)
(10)選定された一組のシェル要素w2,w3が境界Uに囲まれた範囲内に位置する場合(YES)、この一組のシェル要素w2,w3間で共有設定をする。(S30)
(11)選定された一組のシェル要素w2,w3が境界Uに囲まれた範囲内に位置しない場合(NO)、この一組のシェル要素w2,w3間では共有設定をしない。(S31)
(12)判定を行った一組のシェル要素w2,w3が判定済であることを記録する。(S32)
(13)第1の部材モデル32と第2の部材モデル33との間で対向するすべての組のシェル要素w2,w3に対して判定を実施したか否かを判断する。(S33)
(14)すべての組のシェル要素w2,w3に対して判定を実施していた場合(YES)、作業を終了する。
(15)すべての組のシェル要素w2,w3に対して判定を実施していない場合(NO)、判定を行っていない一組のシェル要素w2,w3を選定する。(S34)
(16)選定された一組のシェル要素w2,w3が境界Uに囲まれた範囲内に位置するか否かを判定する。(S29)
なお、このように作成される組立体モデル34は表示部6に表示される。
A model creation method executed by the model creation device 1 based on the program 10 in the second embodiment will be described with reference to FIG.
(1) A bolt model 31, a first member model 32, and a second member model 33 are created. (S21)
(2) The screw part corresponding region 31b of the bolt model 31 is formed in a cylindrical shape having a diameter d1 equal to the male screw outer diameter of the screw part 21b of the bolt 21. The screw hole corresponding region 33b of the second member model 33 is formed in a cylindrical shape having a diameter d2 equal to the female screw inner diameter of the screw hole 23b of the second member 23. (S22)
(3) The bolt model 31, the first member model 32, and the second member model 33 are arranged so as to be in the state of the assembly. (S23)
(4) The bolt model 31 is divided into two at the middle in the longitudinal direction of the cylindrical portion corresponding region 31c. (S24)
(5) On the screw portion corresponding region 31b side of the divided bolt model 31, the diameter d1 of the screw portion corresponding region 31b of the bolt model 31 is equal to the diameter d2 of the screw hole corresponding region 33b of the second member model 33. Recreate shell element w1 ′ to adjust to diameter d1 ′. Thereafter, the two divided bolt models are set so as to be able to transmit force to each other. (S25)
(6) Forces can be transmitted to all the combinations of the shell element w1 of the bearing surface corresponding region 31d of the bolt model 31 and the shell element w2 of the top surface corresponding region 32a of the first member model 32 that face each other. Set to share. All the combinations of the shell element w1 ′ on the outer peripheral surface of the screw part corresponding region 31b of the bolt model 31 and the shell element w3 on the inner peripheral surface of the screw hole corresponding region 33b of the second member model 33 are mutually Set sharing so that force can be transmitted. (S26)
(7) A conical boundary U is defined based on the angle θ with respect to the central axis 31e of the bolt model 31. (S27)
(8) A pair of shell elements w2 and w3 facing each other between the first member model 32 and the second member model 33 are selected. (S28)
(9) It is determined whether or not the selected set of shell elements w2 and w3 are located within the range surrounded by the boundary U. (S29)
(10) When the set of selected shell elements w2 and w3 are located within the range surrounded by the boundary U (YES), the setting is shared between the set of shell elements w2 and w3. (S30)
(11) When the selected set of shell elements w2 and w3 are not located within the range surrounded by the boundary U (NO), no sharing is set between the set of shell elements w2 and w3. (S31)
(12) Record that the determined set of shell elements w2, w3 has been determined. (S32)
(13) It is determined whether or not the determination has been performed on all sets of shell elements w2 and w3 that face each other between the first member model 32 and the second member model 33. (S33)
(14) If determination has been performed for all sets of shell elements w2 and w3 (YES), the operation is terminated.
(15) When determination is not performed for all sets of shell elements w2 and w3 (NO), a set of shell elements w2 and w3 that are not determined is selected. (S34)
(16) It is determined whether or not the selected set of shell elements w2 and w3 are located within a range surrounded by the boundary U. (S29)
The assembly model 34 created in this way is displayed on the display unit 6.

以上、本発明の第2実施形態によれば、第1実施形態と同様の効果が得られる。   As mentioned above, according to 2nd Embodiment of this invention, the effect similar to 1st Embodiment is acquired.

ここまで本発明の実施形態について述べたが、本発明は既述の実施形態に限定されるものではなく、本発明の技術的思想に基づいて各種の変形及び変更が可能である。   Although the embodiments of the present invention have been described so far, the present invention is not limited to the above-described embodiments, and various modifications and changes can be made based on the technical idea of the present invention.

例えば、本発明の第1変形例として、締結部材として、ボルト21の代わりに、ネジ、リベット、ファスナ等が用いられてもよい。本発明の実施形態と同様の効果が得られる。   For example, as a first modification of the present invention, a screw, a rivet, a fastener, or the like may be used instead of the bolt 21 as the fastening member. The same effect as the embodiment of the present invention can be obtained.

本発明の第2変形例として、組立体モデル34が、構造解析、応力解析、振動解析、衝撃解析、機構解析等に用いられてもよい。この場合、「共有設定」は、構造解析、応力解析、振動解析、衝撃解析、機構解析等に対応して、ボルト21の軸力が第1の部材22及び第2の部材23に及ぶように定められているとよい。本発明の実施形態と同様の効果が得られる。   As a second modification of the present invention, the assembly model 34 may be used for structural analysis, stress analysis, vibration analysis, impact analysis, mechanism analysis, and the like. In this case, the “shared setting” corresponds to structural analysis, stress analysis, vibration analysis, impact analysis, mechanism analysis, and the like so that the axial force of the bolt 21 reaches the first member 22 and the second member 23. It is good to have been established. The same effect as the embodiment of the present invention can be obtained.

本発明の第3変形例として、部品データ11が、作業者によって入力部2から入力されてもよい。また、記録媒体7に記録された部品データ11が、記録媒体読取装置8によって読取られて、モデル作成装置1に送られてもよい。本発明の実施形態と同様の効果が得られる。   As a third modification of the present invention, the component data 11 may be input from the input unit 2 by an operator. Alternatively, the component data 11 recorded on the recording medium 7 may be read by the recording medium reading device 8 and sent to the model creation device 1. The same effect as the embodiment of the present invention can be obtained.

本発明の第4変形例として、シェル要素w1,w2,w3のすべてが三角形状に形成されていると好ましい。しかしながら、これに限定されず、シェル要素w1,w2,w3は、それぞれ三角形状、四角形状、五角形状等の多角形状のいずれかに形成されていてもよい。本発明の実施形態と同様の効果が得られる。   As a fourth modification of the present invention, it is preferable that all of the shell elements w1, w2, and w3 are formed in a triangular shape. However, the present invention is not limited to this, and the shell elements w1, w2, and w3 may be formed in any one of polygonal shapes such as a triangular shape, a quadrangular shape, and a pentagonal shape. The same effect as the embodiment of the present invention can be obtained.

1 モデル作成装置
7 記録媒体
10 プログラム
11 部品データ
21 ボルト
21a 頭部
21b ネジ部
21c 円筒部
21d 頭部座面
22 第1の被締結部材(第1の部材)
22c 取付穴
23 第2の被締結部材(第2の部材)
23b ネジ穴
31 ボルトモデル
31a 頭部対応領域
31b ネジ部対応領域
31c 円筒部対応領域
31d 座面対応領域
31e 中心軸線
32 第1の部材モデル
32c 取付穴対応領域
33 第2の部材モデル
33b ネジ穴対応領域
U 境界
w1〜w3,w1’ シェル要素
R1〜R4 第1〜第4の共有設定範囲
θ 角度
d1,d2,d1’ 直径
S1〜S14,S21〜S34 ステップ
DESCRIPTION OF SYMBOLS 1 Model creation apparatus 7 Recording medium 10 Program 11 Parts data 21 Bolt 21a Head 21b Screw part 21c Cylindrical part 21d Head seat surface 22 1st to-be-fastened member (1st member)
22c Attachment hole 23 2nd to-be-fastened member (2nd member)
23b Screw hole 31 Bolt model 31a Head corresponding region 31b Screw portion corresponding region 31c Cylindrical portion corresponding region 31d Seating surface corresponding region 31e Center axis 32 First member model 32c Mounting hole corresponding region 33 Second member model 33b Screw hole corresponding Region U Boundaries w1 to w3, w1 ′ Shell elements R1 to R4 First to fourth shared setting ranges θ Angle d1, d2, d1 ′ Diameter S1 to S14, S21 to S34 Steps

Claims (10)

頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する方法であって、
前記2つの被締結部材モデルが重なっている領域で前記2つの被締結部材モデルの互いに対向するシェル要素間について、前記締結部材の軸力を伝達可能とするように共有設定するステップと、
前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義するステップと、
前記定義された軸力範囲外に位置する前記共有設定されたシェル要素を検出するステップと、
前記検出されたシェル要素間の共有設定を解除するステップと
を含むモデル作成方法。
A fastening member having a head portion, a screw portion, and a cylindrical portion between the head portion and the screw portion is inserted into mounting holes of two fastening members that overlap each other, and the two fastening members In order to calculate the characteristics of the assembly to which the fastened member is screwed, a fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created, and each of the two fastened members corresponds to the outer shape. A method of creating two fastened member models each having a plurality of shell elements and creating a model of the assembly in which the fastened member model and the two fastened member models are assembled,
Sharing the setting so that the axial force of the fastening member can be transmitted between shell elements facing each other in the two fastened member models in a region where the two fastened member models overlap;
Defining an axial force range in which an axial force of the fastening member reaches the two fastened members;
Detecting the shared set shell element located outside the defined axial force range;
Releasing a sharing setting between the detected shell elements.
前記軸力範囲が、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界に囲まれており、
前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している、請求項1に記載のモデル作成方法。
The axial force range is surrounded by a boundary extending in a conical shape from the outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model side,
The model creation method according to claim 1, wherein the conical boundary is inclined at a predetermined angle with respect to a central axis of the fastening member.
頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する方法であって、
前記締結部材の軸力が前記被締結部材に及ぶ軸力範囲を定義するステップと、
前記2つの被締結部材モデルが互いに重なっている領域で前記定義された軸力範囲内に位置する前記2つの被締結部材モデルの互いに対向するシェル要素を検出するステップと、
前記検出された対向するシェル要素間について前記締結部材の軸力を伝達可能とするように共有設定するステップと
を含み、
前記軸力範囲が、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している、モデル作成方法。
A fastening member having a head portion, a screw portion, and a cylindrical portion between the head portion and the screw portion is inserted into mounting holes of two fastening members that overlap each other, and the two fastening members In order to calculate the characteristics of the assembly to which the fastened member is screwed, a fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created, and each of the two fastened members corresponds to the outer shape. A method of creating two fastened member models each having a plurality of shell elements and creating a model of the assembly in which the fastened member model and the two fastened member models are assembled,
Defining an axial force range in which an axial force of the fastening member reaches the fastened member;
Detecting mutually opposing shell elements of the two fastened member models located within the defined axial force range in a region where the two fastened member models overlap each other;
A shared setting to enable transmission of the axial force of the fastening member between the detected opposing shell elements; and
The axial force range is defined by a boundary extending in a conical shape from an outer periphery of the head seating surface corresponding region of the fastening member model toward the fastened member model, and the conical boundary is a center of the fastening member A model creation method that is inclined with respect to an axis at a predetermined angle.
前記共有設定するステップの前に、前記締結部材モデルのネジ部対応領域を、雄ネジ外径に対応した直径を有する円柱形状に形成し、かつ前記被締結部材モデルのネジ穴として形成された取付穴対応領域を、雌ネジ内径に対応した直径を有する円柱形状に形成するステップと、
前記締結部材モデルをその円筒部対応領域の長手方向中間で2分割するステップと、
前記2分割された締結部材モデルのネジ部対応領域の直径と、前記被締結部材モデルの取付穴対応領域の直径とを一致させるステップと
をさらに含む請求項1〜3のいずれか一項に記載のモデル作成方法。
Prior to the common setting step, the screw member corresponding region of the fastening member model is formed in a cylindrical shape having a diameter corresponding to the outer diameter of the male screw, and is formed as a screw hole of the fastened member model Forming the hole corresponding region into a cylindrical shape having a diameter corresponding to the inner diameter of the female screw;
Dividing the fastening member model into two in the middle in the longitudinal direction of the cylindrical portion corresponding region;
4. The method according to claim 1, further comprising: matching a diameter of the screw part corresponding region of the two-part fastening member model with a diameter of the attachment hole corresponding region of the fastened member model. Model creation method.
請求項1〜4のいずれか一項に記載のモデル作成方法を、コンピュータに実行させるためのプログラム。   The program for making a computer perform the model creation method as described in any one of Claims 1-4. 請求項5に記載のプログラムを記録したコンピュータ読取り可能な記録媒体。   A computer-readable recording medium on which the program according to claim 5 is recorded. 頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する装置であって、
前記2つの被締結部材モデルが重なっている領域で前記2つの被締結部材モデルの互いに対向するシェル要素間について、前記締結部材の軸力を伝達可能とするように共有設定する共有手段と、
前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義する軸力定義手段と、
前記軸力定義手段により定義された軸力範囲外に位置する前記共有設定されたシェル要素を検出する検出手段と、
前記検出手段により検出されたシェル要素間の共有設定を解除する解除手段と
を備えているモデル作成装置。
A fastening member having a head portion, a screw portion, and a cylindrical portion between the head portion and the screw portion is inserted into mounting holes of two fastening members that overlap each other, and the two fastening members In order to calculate the characteristics of the assembly to which the fastened member is screwed, a fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created, and each of the two fastened members corresponds to the outer shape. An apparatus for creating two fastened member models each having a plurality of shell elements and creating a model of the assembly in which the fastened member model and the two fastened member models are assembled,
A sharing unit configured to share the axial force of the fastening member between the shell elements facing each other in the two fastened member models in a region where the two fastened member models overlap;
An axial force defining means for defining an axial force range in which an axial force of the fastening member reaches the two fastened members;
Detecting means for detecting the shared shell element located outside the axial force range defined by the axial force defining means;
A model creating apparatus comprising: canceling means for canceling sharing setting between shell elements detected by the detecting means.
前記軸力定義手段が、前記軸力範囲を、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義するように構成され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している、請求項7に記載のモデル作成装置。   The axial force defining means is configured to define the axial force range by a boundary extending in a conical shape from an outer periphery of a head seating surface corresponding region of the fastening member model toward the fastening member model; The model creation device according to claim 7, wherein the conical boundary is inclined at a predetermined angle with respect to a central axis of the fastening member. 頭部と、ネジ部と、前記頭部及び前記ネジ部間の円筒部とを有する締結部材を、互いに重なった2つの被締結部材の取付穴に挿通した状態で、前記締結部材によって前記2つの被締結部材をネジ止めした組立体の特性を計算するために、前記締結部材の外形に対応する複数のシェル要素を有する締結部材モデルを作成し、前記2つの被締結部材の外形にそれぞれ対応する複数のシェル要素をそれぞれ有する2つの被締結部材モデルを作成し、前記締結部材モデルと前記2つの被締結部材モデルとを組立てた前記組立体のモデルを作成する装置であって、
前記締結部材の軸力が前記2つの被締結部材に及ぶ軸力範囲を定義する軸力定義手段と、
前記2つの被締結部材モデルが重なっている領域で前記軸力定義手段により定義された軸力範囲内に位置する前記2つの被締結部材モデルの互いに対向するシェル要素を検出する検出手段と、
前記検出手段により検出されたシェル要素間について前記締結部材の軸力を伝達可能とするように共有設定する共有手段と
を備え、
前記軸力定義手段が、前記軸力範囲を、前記締結部材モデルの頭部座面対応領域の外周から前記被締結部材モデル側に向かって円錐形状に延びる境界によって定義するように構成され、前記円錐形状の境界が、前記締結部材の中心軸線に対して予め定められた角度で傾斜している、モデル作成装置。
A fastening member having a head portion, a screw portion, and a cylindrical portion between the head portion and the screw portion is inserted into mounting holes of two fastening members that overlap each other, and the two fastening members In order to calculate the characteristics of the assembly to which the fastened member is screwed, a fastening member model having a plurality of shell elements corresponding to the outer shape of the fastening member is created, and each of the two fastened members corresponds to the outer shape. An apparatus for creating two fastened member models each having a plurality of shell elements and creating a model of the assembly in which the fastened member model and the two fastened member models are assembled,
An axial force defining means for defining an axial force range in which an axial force of the fastening member reaches the two fastened members;
Detecting means for detecting mutually opposing shell elements of the two fastened member models located within an axial force range defined by the axial force defining means in a region where the two fastened member models overlap;
A sharing means for setting to share the axial force of the fastening member between the shell elements detected by the detection means,
The axial force defining means is configured to define the axial force range by a boundary extending in a conical shape from an outer periphery of a head seating surface corresponding region of the fastening member model toward the fastening member model; The model creation device, wherein the conical boundary is inclined at a predetermined angle with respect to the central axis of the fastening member.
前記共有設定するステップの前に、前記締結部材モデルのネジ部対応領域を、雄ネジ外径に対応した直径を有する円柱形状に形成し、かつ前記被締結部材モデルのネジ穴として形成された取付穴対応領域を、雌ネジ内径に対応した直径を有する円柱形状に形成する形状変更手段と、
前記締結部材モデルをその円筒部対応領域の長手方向中間で2分割する分割手段と、
前記2分割された締結部材モデルのネジ部対応領域の直径と、前記被締結部材モデルの取付穴対応領域の直径とを一致させる直径調節手段と
をさらに備えている請求項7〜9のいずれか一項に記載のモデル作成装置。
Prior to the common setting step, the screw member corresponding region of the fastening member model is formed in a cylindrical shape having a diameter corresponding to the outer diameter of the male screw, and is formed as a screw hole of the fastened member model A shape changing means for forming the hole corresponding region into a cylindrical shape having a diameter corresponding to the inner diameter of the female screw;
Dividing means for dividing the fastening member model into two at the middle in the longitudinal direction of the cylindrical portion corresponding region;
The diameter adjustment means which makes the diameter of the thread part corresponding | compatible area | region of the said 2 divided fastening member model and the diameter of the attachment hole corresponding | compatible area | region of the said to-be-fastened member model further comprise. The model creation device according to one item.
JP2012081590A 2012-03-30 2012-03-30 Model creation method, program for causing the same to be executed, computer readable recording medium recording the same, and model creation device Pending JP2013210910A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105243238A (en) * 2015-11-06 2016-01-13 中国电子科技集团公司第三十八研究所 Integrated quick product iteration forming device and method
CN114313300A (en) * 2022-02-22 2022-04-12 成都飞机工业(集团)有限责任公司 Method for predicting and improving installation qualification rate of aircraft part and aircraft surface connecting piece

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105243238A (en) * 2015-11-06 2016-01-13 中国电子科技集团公司第三十八研究所 Integrated quick product iteration forming device and method
CN105243238B (en) * 2015-11-06 2018-06-29 中国电子科技集团公司第三十八研究所 A kind of integration Rapid Product iteration building mortion and its method
CN114313300A (en) * 2022-02-22 2022-04-12 成都飞机工业(集团)有限责任公司 Method for predicting and improving installation qualification rate of aircraft part and aircraft surface connecting piece
CN114313300B (en) * 2022-02-22 2022-07-15 成都飞机工业(集团)有限责任公司 Method for predicting and improving installation qualification rate of aircraft part and aircraft surface connecting piece

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