JP3148144B2 - Shape calculation method in the pre-process of forged products - Google Patents

Shape calculation method in the pre-process of forged products

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Publication number
JP3148144B2
JP3148144B2 JP05373397A JP5373397A JP3148144B2 JP 3148144 B2 JP3148144 B2 JP 3148144B2 JP 05373397 A JP05373397 A JP 05373397A JP 5373397 A JP5373397 A JP 5373397A JP 3148144 B2 JP3148144 B2 JP 3148144B2
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JP
Japan
Prior art keywords
shape
forged product
product
cross
new
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
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JP05373397A
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Japanese (ja)
Other versions
JPH10254926A (en
Inventor
襄介 河内
英樹 遠藤
静也 木
Original Assignee
中小企業総合事業団
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Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【発明の属する技術分野】本発明は、鍛造品の最終形状
(または中間工程における途中形状)から、それ以前の
工程における中間形状を求める鍛造品の形状演算方法に
関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for calculating the shape of a forged product from a final shape of a forged product (or an intermediate shape in an intermediate step) to obtain an intermediate shape in an earlier process.

【0002】[0002]

【従来の技術】通常、鍛造により製品を製作する場合、
その中間工程における中間形状を想定して、段階を追っ
て鍛造作業が行われている。そして、従来、中間形状
は、製品形状すなわち鍛造終了後の最終形状から、熟練
技術者の経験と勘に基づき想定されていた。勿論、中間
形状から、さらにその前工程における中間形状を想定す
る場合も同様である。
2. Description of the Related Art Usually, when a product is manufactured by forging,
Forging work is performed step by step, assuming an intermediate shape in the intermediate process. Conventionally, the intermediate shape has been assumed from the product shape, that is, the final shape after the completion of forging, based on the experience and intuition of a skilled engineer. Of course, the same applies when assuming an intermediate shape in the preceding process from the intermediate shape.

【0003】具体的に説明すれば、鍛造作業において
は、ビレットからの体積配分を容易にするための潰し鍛
造、荒地型を用いて予備的な成形を行う荒打ち鍛造およ
び仕上げ型を用いて最終的な成形を行う仕上げ鍛造、さ
らに抜打ち型を用いて外バリや内バリを打ち抜くバリ抜
き工程などが順番に行われる。したがって、前工程での
形状、例えば仕上げ形状(仕上げ打ち後の形状)から荒
地形状(荒打ち後の形状、すなわち仕上げ打ち前の形
状)を正しく求める必要がある。
[0003] More specifically, in the forging operation, crushing forging for facilitating the volume distribution from the billet, roughing forging in which preliminary forming is performed using a rough land mold, and final forging using a finishing die. A final forging for performing a typical forming, and a deburring step of punching out outer burrs and inner burrs using a punching die are sequentially performed. Therefore, it is necessary to correctly determine a rough land shape (a shape after rough striking, that is, a shape before finishing striking) from a shape in a previous process, for example, a finished shape (shape after finishing striking).

【0004】そして、中間工程における各鍛造品の形状
演算する場合、最終製品の最終形状を、所定の方向例
えば鍛造品の伸びる方向に沿って複数に分割した場合の
各分割部毎に、設計者が鍛造後の断面形状と鍛造前(前
工程)の断面形状との間に成立する関係から鍛造前の断
面形状を求め、この求められた各分割部毎の断面形状を
用いて鍛造前での全体形状が求められていた。
[0004] When calculating the shape of each forged product in the intermediate step, the final shape of the final product is divided into a plurality of parts along a predetermined direction, for example, the direction in which the forged product extends, and the design is performed for each divided part. The user determines the cross-sectional shape before forging from the relationship established between the cross-sectional shape after forging and the cross-sectional shape before forging (pre-process), and uses the obtained cross-sectional shape for each of the divided parts before forging. The overall shape was required.

【0005】[0005]

【発明が解決しようとする課題】しかし、鍛造品の各分
割部毎に、設計者が、鍛造後と鍛造前との断面の関係か
ら、鍛造前の形状を求める作業は非常に面倒であり熟練
を要するもので、かつ多くの時間を要し、設計能率を向
上させるにも限界があるという問題があった。
However, for each divided part of a forged product, it is very troublesome for a designer to determine the shape before forging from the relationship between the cross section after forging and before forging. However, there is a problem that it takes a lot of time, and there is a limit in improving the design efficiency.

【0006】なお、これらの課題を解決するための手段
としては、複数の類似品の前工程での形状を合成する方
法が考えられるが、新鍛造品の形状が反映されず、した
がって鍛造時の位置決めや体積配分などが、新鍛造品に
合わない場合も生じるという問題がある。
As a means for solving these problems, a method of synthesizing the shapes of a plurality of similar products in the previous process can be considered. However, the shape of the new forged product is not reflected, and therefore, the shape during the forging is not reflected. There is a problem that positioning and volume distribution may not be suitable for a new forged product.

【0007】そこで、本発明は、鍛造品の前工程での断
面形状を、容易にかつ短時間に求めることができ、か
つ、新鍛造品の形状の特徴を活かし、位置決めや体積配
分が新鍛造品に合致する前工程での形状演算方法を提供
することを目的とする。
[0007] Therefore, the present invention provides a new forging product in which positioning and volume distribution can be easily determined in a short time in a pre-process of a forged product, and by utilizing the features of the shape of the new forged product. It is an object of the present invention to provide a method of calculating a shape in a previous process that matches a product.

【0008】[0008]

【課題を解決するための手段】上記課題を解決するた
め、本発明の第1の手段は、所定工程での形状が新規な
新鍛造品における前工程での形状をコンピュータ装置を
使用して演算する方法であって、まず新鍛造品の所定工
程に対応する形状に類似する既知である既鍛造品の形状
およびその前工程での形状をデータベースから検索して
求めておき、次に上記新鍛造品、既鍛造品および既鍛造
品の前工程品の3形状の断面の輪郭を、凹凸などの形状
の特徴部に応じてそれぞれ同一数でもって分割し、これ
ら分割した各区間において、上記新鍛造品、既鍛造品お
よび既鍛造品の前工程品の輪郭形状の差に基づく演算式
により新鍛造品の前工程形状の断面の輪郭を区間毎に合
成し、この合成された各区間における輪郭をつなぐこと
により、新鍛造品の前工程形状を演算する鍛造品の前工
程での形状演算方法である。
Means for Solving the Problems In order to solve the above-mentioned problems, a first means of the present invention is to provide a computer device for changing the shape of a new forged product in a predetermined process to a shape of a new forged product in a previous process.
A method for calculating using, first, a predetermined machining of the new forging
The shape of the known forged product similar to the shape corresponding to the process and the shape in the previous process are searched for from the database , and then the new forged product, the forged product and the forged product are searched. The contours of the cross-sections of the three shapes of the pre-processed product are divided by the same number according to the shape feature such as unevenness, and in each of these divided sections, the new forged product, the forged product, and the forged product Formula based on the difference in the contour shape of the pre-processed product
By combining the contours of the cross section of the pre-processed shape of the new forged product in each section, and connecting the contours in each of the synthesized sections, the pre-processed shape of the forged product is calculated by calculating the pre-processed shape of the new forged product It is a calculation method.

【0009】また、本発明の第2の手段は、上記第1の
手段の構成において、新鍛造品の前工程形状の断面の輪
郭を区間毎に合成する際に、新鍛造品、既鍛造品および
既鍛造品の前工程品の3形状の断面の輪郭をそれぞれ点
列座標データに変換し、各形状の各区間ごとに対応する
上記各座標データにおける極座標での半径の差に基づく
下記演算式(イ)により新鍛造品の前工程形状に対応す
る各区間毎における各座標データを演算し、これら各座
標データに基づき合成処理する鍛造品の前工程での形状
演算方法である。
Further, the second means of the present invention, in the configuration of the first means, comprises combining a new forged product, an already-forged product, when synthesizing a sectional profile of a preprocess shape of a new forged product for each section. And the contours of the cross-sections of the three shapes of the pre-processed product of the forged product are converted into point sequence coordinate data, respectively , based on the difference between the radii at the polar coordinates in the coordinate data corresponding to each section of each shape.
The following formula (a) is used to calculate each coordinate data for each section corresponding to the shape of the pre-process of the new forged product, and to synthesize the forged product in the pre-process based on these coordinate data.
It is a calculation method.

【0010】R=a×r− b×ρ+ c×P・・・(イ) (a−b+c=1) 但し、 R:新鍛造品の前工程での形状の断面輪郭形状における
極座標での半径 r:新鍛造品の形状の断面輪郭形状における極座標での
半径 ρ:類似品の形状の断面輪郭形状における極座標での半
P:類似品の前工程での形状の断面輪郭形状における極
座標での半径 a:新鍛造品の係数 b:類似品の係数 c:類似品の前工程の係数 である。
R = a × r−b × ρ + c × P (a) (ab + c = 1), where R is the cross-sectional profile of the shape in the previous process of the new forged product.
Radius r in polar coordinates : in polar coordinates in the cross-sectional profile of the shape of the new forging
Radius ρ: half in polar coordinates of the cross-sectional profile of a similar product
Diameter P: pole in cross-sectional profile of similar product in previous process
Coordinate radius a: coefficient of a new forged product b: coefficient of a similar product c: coefficient of a previous process of a similar product .

【0011】また、本発明の第3の手段は、上記第1の
手段の構成において、新鍛造品の前工程形状の断面の輪
郭を区間毎に合成する際に、新鍛造品、既鍛造品および
既鍛造品の前工程品の3形状の断面の輪郭をそれぞれ線
分と円弧とにかつ同一数でもって要素分割し、各形状の
対応する要素同士の曲率の差に基づく下記演算式(ロ)
により新鍛造品の前工程形状における各要素の線分と円
弧の曲率を演算し、この曲率に基づく線分または円弧を
合成処理する鍛造品の前工程での形状演算方法である。
[0011] A third means of the present invention, in the configuration of the first means, comprises combining a new forged product, an already-forged product, when synthesizing a sectional profile of a preprocess shape of a new forged product for each section. And the contour of the cross section of the three shapes of the pre-processed product of the forged product is divided into a line segment and a circular arc with the same number of elements, respectively, and the following arithmetic expression (b) based on the difference in curvature between the corresponding elements of each shape )
The calculated line segments and arcs of curvature of each element in the previous step the shape of the new forging, the shape calculation method in the previous step forging synthesizing processing line or arc based on this curvature.

【0012】 1/R=a×(1/r)− b(1/ρ)+ c(1/P)・・・(ロ) (a−b+c=1) 但し、 1/R:新鍛造品の前工程での形状の断面輪郭形状の要
素の曲率 1/r:新鍛造品の断面輪郭形状の要素の曲率 1/ρ:類似品の断面輪郭形状の要素の曲率 1/P:類似品の前工程での形状の断面輪郭形状の要素
の曲率 a:新鍛造品の係数 b:類似品の係数 c:類似品の前工程の係数 である。
1 / R = a × (1 / r) −b (1 / ρ) + c (1 / P) (b) (ab−c = 1), where 1 / R: new forged product Of the cross-sectional profile of the shape in the previous process
Elemental curvature 1 / r: Curvature of the element of the cross-sectional profile of the new forged product 1 / ρ: Curvature of the element of the cross-sectional profile of the similar product 1 / P: Element of the cross-sectional profile of the similar product in the previous process
The curvature of a: coefficient of the new forging b: coefficient of similar products c: is a coefficient of the previous step of similar products.

【0013】また、本発明の第4の手段は、上記第1な
いし第3の手段における鍛造品の前工程での形状演算
法により求められる断面の形状を複数断面について演算
し、これら求められた断面をつなぎ合わせて3次元形状
を合成処理することにより、新鍛造品の3次元の前工程
形状を演算する鍛造品の前工程での形状演算方法であ
る。
[0013] The fourth aspect of the present invention, calculates the first through third cross-section obtained by the shape calculating how <br/> method in the previous step of the forged product in means in the form a plurality sectional
And, by the three-dimensional shape by connecting these the obtained cross synthesizing process, the shape calculation method in the previous step of the forged product for calculating a three-dimensional pre-process shape of the new forging.

【0014】上記各手段における形状演算方法による
と、新鍛造品の形状が与えられると、予め記憶されてい
る既鍛造品の形状とが比較されて、類似度が高い既鍛造
品形状とその前工程での形状が選び出され、新鍛造品形
状を含めた3つの形状より新鍛造品の前工程での形状が
合成されるため、非常に容易にかつ短時間で、新鍛造品
の形状の特徴を活かした所定の新鍛造品の前工程での形
状を求めることができる。
According to the shape calculation method in each of the above means, when the shape of the new forged product is given, the shape of the forged product stored in advance is compared with the shape of the forged product having a high degree of similarity. Since the shape in the process is selected and the shape in the previous process of the new forged product is synthesized from the three shapes including the new forged product shape, the shape of the new forged product can be very easily and quickly. It can therefore be found to shape in the previous step given a new forging utilizing the features.

【0015】また、上記各形状演算方法により求められ
た新鍛造品の前工程での形状データを使用することによ
り、特にコンピュータ装置および3次元CADソフトウ
ェアを使用して、形状データを求めることにより、複雑
な形状であっても、非常に簡単に金型を設計することが
できる。
Further, by using the shape data in the previous process of the new forged product obtained by each of the above shape calculation methods, in particular, by obtaining the shape data using a computer device and three-dimensional CAD software, A mold can be designed very easily even for a complicated shape.

【0016】なお、上記第1ないし第3の手段による形
演算方法は、鍛造品の形状が軸対称物品である場合に
適しており、また第4の手段による形状演算方法は、鍛
造品の形状が非軸対称物品である場合に適している。
The shape calculation method according to the first to third means is suitable when the shape of the forged product is an axisymmetric article, and the shape calculation method according to the fourth means is suitable for the shape calculation of the forged product. Are suitable for non-axisymmetric articles.

【0017】[0017]

【発明の実施の形態】以下、本発明の実施の形態におけ
る鍛造品の前工程での形状演算方法を、図面に基づき説
明する。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS A method for calculating a shape of a forged product in a pre-process according to an embodiment of the present invention will be described below with reference to the drawings.

【0018】本発明の要旨は、新鍛造品の前工程での形
状を、形状が既知である既鍛造品とその前工程での形状
との差に基づいて求める方法であり、より具体的には、
最終的な成形を行う仕上げ鍛造品(以下、最終鍛造品と
称す)の形状を入力して、その前工程すなわち中間工程
での鍛造品の形状から初期工程でのビレット(以下、中
間鍛造品と称し、これにはビレットをも含むものとす
る)までの形状を、コンピュータ装置を使用して、演算
により求める方法である。すなわち、ある鍛造品とその
前工程での中間鍛造品との間には、ある種の幾何学的関
係があり、この関係を利用することにより、前工程での
中間鍛造品の形状が求められることに基づくものであ
る。なお、この形状演算方法は、鍛造品の形状が軸対称
物品である場合に適している。
The gist of the present invention is a method of the shape in the previous step of the new forging, Ru determined based on the difference between the already forging shape is known and the shape of its previous step, more specifically In
Enter the shape of the final forged product (hereinafter, referred to as the final forged product) to be subjected to final molding, and change the shape of the forged product in the previous process, that is, the intermediate process, to the billet in the initial process (hereinafter, referred to as the intermediate forged product). (Including a billet) is calculated by a computer device. That is, there is a certain geometric relationship between a certain forged product and the intermediate forged product in the previous process, and by using this relationship, the shape of the intermediate forged product in the previous process is determined. It is based on This shape calculation method is suitable when the shape of the forged product is an axisymmetric product.

【0019】以下、第1の実施の形態における鍛造品の
前工程での形状演算方法を、図1に示すフローチャート
に基づき説明する。本第1の実施の形態においては、最
終鍛造品の形状からビレット形状までの途中の中間鍛造
品、すなわち荒打ち工程での形状(以下、荒打ち品と称
す)、潰し工程での形状(以下、潰し品と称す)および
初期工程での形状(ビレットの形状)のデータをそれぞ
れ求める場合について説明する。
Hereinafter, a method of calculating the shape of the forged product in the previous process according to the first embodiment will be described with reference to the flowchart shown in FIG. In the first embodiment, an intermediate forged product from the shape of the final forged product to the billet shape, that is, a shape in the roughing process (hereinafter, referred to as a rough product), a shape in the crushing process (hereinafter, referred to as a rough product). A description will be given of a case in which data of a shape (a billet shape) in an initial process is obtained.

【0020】まず、最終鍛造品形状である仕上げ形状を
読込み(ステップ1)、合成する断面の数Nを決定(こ
のNは、軸対称品の場合、N=1であり、非軸対称品の
場合は、全体形状を表すために必要な断面数である)
(ステップ2)した後、既鍛造品の中から新鍛造品に似
た類似品を探すための検索範囲を設定する(ステップ
3)。この検索範囲の設定は、検索時間の短縮を図る目
的で行うもので、範囲を設定せずデータベースD全体を
対象に検索を行うこともできる。
First, a finished shape, which is a final forged product shape, is read (step 1), and the number N of cross sections to be synthesized is determined. In the case, it is the number of cross-sections necessary to represent the entire shape)
After (Step 2), a search range for searching for a similar product similar to the new forged product from the forged product is set (Step 3). This search range is set for the purpose of shortening the search time, and the search can be performed on the entire database D without setting the range.

【0021】次に、M=1(このMは、各工程の段階を
示し、その具体的な値とそれに対応する工程を、図1の
データベースD内に記述しておく)として(ステップ
4)、新鍛造品の類似品を検索して形状合成に用いる類
似品の選択を行う(ステップ5)。
Next, it is assumed that M = 1 (where M indicates the stage of each process, and its specific value and the process corresponding thereto are described in the database D of FIG. 1) (step 4). Then, a similar product of the new forged product is searched to select a similar product to be used for shape synthesis (step 5).

【0022】次に、K=1(このKは、合成する断面数
をカウントする変数でK=1からNまでの値である)と
して(ステップ6)、新鍛造品、選択されたその類似品
および類似品の前工程品の3形状(3種類)の断面の輪
郭形状を読込み(ステップ7)、3形状の断面の輪郭形
状に基づき新鍛造品の前工程での断面の輪郭形状の合成
処理を行う(ステップ8)。新鍛造品が非軸対称物品で
ある場合には、この合成処理を必要断面数に達するまで
繰り返す(ステップ10)。なお、この合成処理につい
ては、あとで詳しく説明する。
Next, assuming that K = 1 (where K is a variable for counting the number of sections to be synthesized and is a value from K = 1 to N) (step 6), a new forged product, a selected similar product And reading the contours of three cross-sections (three types) of the pre-processed product of similar products (step 7), and synthesizing the cross-sectional contours in the pre-process of the new forged product based on the contours of the three cross-sections (Step 8). If the new forged product is a non-axisymmetric product, this synthesis process is repeated until the required number of cross sections is reached (step 10). This combining process will be described later in detail.

【0023】このようにして得られた断面の輪郭形状よ
り、新鍛造品の前工程での全体形状を作成する(新鍛造
品が軸対称物品の場合は、断面を回転して作成し、非軸
対称物品の場合には、複数の断面をつないで全体形状を
作成する)(ステップ11)。
From the profile of the cross section obtained in this manner, the entire shape of the pre-process of the new forged product is created (if the new forged product is an axisymmetric article, the cross section is rotated to create a non-formed product. In the case of an axisymmetric article, a plurality of cross sections are connected to create an overall shape (step 11).

【0024】さらに、M=M+1(ステップ12)とし
て、その前の工程での形状合成をビレットが得られるま
で繰り返す(ステップ13)。以上で、新鍛造品の中間
鍛造品の形状がすべて求まり、これを出力(ステップ1
4)するとともに、金型の型彫り形状へデータ変換する
(ステップ15)。また、ステップ16にて、これらの
形状データを新規なものとしてデータベースDに登録す
るかどうかが判断(自動的またはオペレーターが判断す
る)される。
Further, assuming that M = M + 1 (step 12), the shape synthesis in the previous step is repeated until a billet is obtained (step 13). As described above, all the shapes of the intermediate forged product of the new forged product are obtained and output (Step 1).
4) At the same time, the data is converted into a die-sculpted shape (step 15). In step 16, it is determined whether these shape data are registered as new data in the database D (either automatically or by an operator).

【0025】次に、上記一連の中間鍛造品の形状合成処
理の中で、ステップ8の新鍛造品の前工程での断面の輪
郭形状の合成処理について、図2のフローチャートに基
づき、詳細に説明する。
Next, in the above-mentioned series of intermediate forging product shape synthesizing processes, the synthesizing process of the cross-sectional contour shape in the previous step of the new forging product in step 8 will be described in detail based on the flowchart of FIG. I do.

【0026】まず、J=1(Jは、処理する輪郭形状の
番号でJ=1は新鍛造品、J=2は新鍛造品の類似品、
J=3は同類似品の前工程での形状とする)(ステップ
1)として、新鍛造品の輪郭形状の無次元化点列座標デ
ータおよび2値化データを読み込む(ステップ2)。
First, J = 1 (J is the number of the contour shape to be processed, J = 1 is a new forged product, J = 2 is a similar product of the new forged product,
As J = 3, the shape of the similar product in the previous process is used (step 1). The dimensionless point sequence coordinate data and the binarized data of the contour shape of the new forged product are read (step 2).

【0027】点列座標データとは、線分や曲線で表され
ている輪郭線上に所定の間隔で点を配置した時の各点の
座標値の集まりであり、点列座標データに変換すること
により、以下の形状合成処理をコンピュータが得意とす
る数値演算だけで行うことができるようになる。
Point sequence coordinate data is a set of coordinate values of each point when points are arranged at predetermined intervals on a contour line represented by a line segment or a curve, and is converted into point sequence coordinate data. Accordingly, the following shape synthesis processing can be performed only by numerical operations that a computer is good at.

【0028】無次元化点列座標データとは、各点の座標
値を断面の外半径と高さで割って、外半径を1.0、高
さを1.0とする座標系に置き換えた点列座標データの
ことである。
The dimensionless point sequence coordinate data is obtained by dividing the coordinate value of each point by the outer radius and height of the cross section and replacing the coordinate system with an outer radius of 1.0 and a height of 1.0. Point sequence coordinate data.

【0029】また、2値化データとは、断面を縦×横=
50×50程度のメッシュに分割し、このメッシュ部分
のオン・オフ状態(1,0)にて形状を表したもので、
その例を図3に示す。
Also, the binarized data means that the cross section is vertical x horizontal =
It is divided into meshes of about 50 × 50, and the shape is represented by the on / off state (1, 0) of this mesh part.
An example is shown in FIG.

【0030】次に、輪郭形状を形状の凹凸に応じて区間
に分割する(ステップ3)。形状の凹凸および分割位置
は、2値化データを用いて判定する。分割位置の例を図
3に示している。図3の例では、輪郭形状1を黒い丸印
(分割位置)2で示すように8区間に分割している。こ
の処理をJ=3まで繰り返し(ステップ4)、3形状の
分割数を合わせるように分割数(分割数の多い方に合わ
せる)と分割位置2とを調整する(ステップ6)。
Next, the contour shape is divided into sections according to the unevenness of the shape (step 3). The unevenness of the shape and the division position are determined using the binarized data. FIG. 3 shows an example of the division position. In the example of FIG. 3, the outline shape 1 is divided into eight sections as indicated by black circles (division positions) 2. This process is repeated until J = 3 (step 4), and the number of divisions (matching the larger number of divisions) and the division position 2 are adjusted so that the number of divisions of the three shapes is matched (step 6).

【0031】以上で、3形状のそれぞれ対応する区間が
決まり、各区間毎に以下の処理を行う。まず、i=1
(このiは、区間の番号を表す変数で、i=1〜Lであ
る)とし(ステップ7)、3形状の区間[図4(a)の
線分3(新鍛造品の輪郭形状),4(類似品の輪郭形
状),5(類似品の前工程での輪郭形状)にて表す]の
左端を図4(a)の点6[座標値は(ξi-1 ,η
i-1 )]の位置に、右端を点7[座標値は(ξi ,η
i )]の位置に合わせ、区間の両端を一致させるように
区間内の点列の座標変換を行う(ステップ8)。この座
標変換を新鍛造品の場合について式で表すと下記(1) 式
となる。
As described above, sections corresponding to the three shapes are determined, and the following processing is performed for each section. First, i = 1
(This i is a variable representing the number of the section, i = 1 to L) (step 7), and the three-shaped section [line segment 3 (contour shape of new forged product) in FIG. The left end of 4 (contour shape of similar product) and 5 (contour shape of similar product in the previous process) is point 6 in FIG. 4 (a) [coordinate values are (ξ i−1 , η)
i-1 )] at the right end of point 7 [coordinate values are (ξ i , η
i )], and coordinate conversion of a point sequence in the section is performed so that both ends of the section are matched (step 8). When this coordinate transformation is expressed by an equation for a new forged product, the following equation (1) is obtained.

【0032】[0032]

【数1】 但し、(1) 式中、 (x,y):新鍛造品の輪郭線上の任意の点の座標 (x′,y′):座標変換後の同上の座標 (xi-1 ,yi-1 ):座標変換前の区間の左端の座標 (xi ,yi ):座標変換前の区間の右端の座標 (ξi-1 ,ηi-1 ):左端を合わせる点の座標 (ξi ,ηi ):右端を合わせる点の座標 である。(Equation 1) Where (x, y): coordinates of an arbitrary point on the contour of the new forged product (x ′, y ′): coordinates (x i−1 , y i− ) after coordinate transformation 1): the leftmost coordinate of the coordinate before conversion section (x i, y i): the right end coordinate of the coordinate before conversion section (ξ i-1, η i -1): a point to align the left edge coordinates (xi] i , Η i ): coordinates of the point where the right end is to be aligned.

【0033】類似品および類似品の前工程品も同様の式
になる[類似品の座標は座標変換前(u,v)、変換後
(u′,v′)類似品の前工程品の座標は座標変換前
(U,V)、変換後(U′,V′)で表す]。
A similar product and a pre-process product of the similar product have the same formula [the coordinates of the similar product are the coordinates of the pre-process product of the similar product before the coordinate transformation (u, v) and after the transformation (u ', v')]. Are represented before (U, V) and after (U ′, V ′).

【0034】この座標変換後の状態は、図4(b)に示
すようになる。図4(b)中、3′〜7′は、図4
(a)における3〜7の座標変換後のものを示す。な
お、端点を合わせる位置の点6(ξi-1 ,ηi-1 )、点
7(ξi ,ηi )は、形状合成後の新鍛造品の前工程で
の形状の各区間がつながる条件を満足すれば、他に特に
制限はない。本実施の形態では、3形状の端点の座標値
と係数a,b,cを用いて下記の(2) 式で、点7の座標
値(ξi ,ηi )を決定した。
The state after the coordinate conversion is as shown in FIG. In FIG. 4B, 3 'to 7'
FIG. 7A shows the result after the coordinate conversion of 3 to 7 in FIG. The points 6 (ξ i−1 , η i−1 ) and 7 (ξ i , η i ) at the positions where the end points are aligned are connected to each section of the shape in the previous process of the new forged product after the shape synthesis. There are no other restrictions as long as the conditions are satisfied. In the present embodiment, the coordinate values (ξ i , η i ) of the point 7 are determined by the following equation (2) using the coordinate values of the three shape end points and the coefficients a, b, and c.

【0035】[0035]

【数2】 点6の座標値(ξi-1 ,ηi-1 )についても、同様に決
定する。
(Equation 2) The coordinate value (ξ i−1 , η i−1 ) of the point 6 is determined in the same manner.

【0036】次に、座標変換後の点列データを、下記の
(3) 式を用いて、極座標に変換する(ステップ9)。
Next, the point sequence data after the coordinate conversion is
Using the equation (3), conversion to polar coordinates is performed (step 9).

【0037】[0037]

【数3】 但し、(3) 式中、 (r,θ):新鍛造品の輪郭線上の任意の点(x′,
y′)を極座標変換した時の極座標値 また、類似品の極座標値(ρ,φ)、類似品の前工程品
の極座標値(Ρ,Φ)も同様にして求める(ステップ
9)。
(Equation 3) Where (r, θ) is an arbitrary point (x ′,
y ′) is converted to polar coordinates. Polar coordinates (ρ, φ) of a similar product and polar coordinates (Ρ, Φ) of a pre-processed product of a similar product are similarly obtained (step 9).

【0038】以上で得られた半径r、ρ、Ρ(θ=φ=
Φの時の値を用いる)により新鍛造品の前工程での半径
R(この時の角度は、Θ=θとする)を、下記の(4) 式
により求める(ステップ10)。
The radii r, ρ, Ρ (θ = φ =
Using the value of Φ), the radius R (the angle at this time is Θ = θ) in the previous process of the new forged product is obtained by the following equation (4) (step 10).

【0039】[0039]

【数4】 但し、(4) 式中、 a:新鍛造品の係数 b:類似品の係数 c:類似品の前工程品の係数 である。このRを所定のΘの間隔で求めることにより、
この区間の新鍛造品の前工程での極座標表示による点列
データが求まる。この点列データをこれまで行ってきた
座標変換と逆の変換、すなわち、下記の(5) 式に示す直
交座標への変換[変換後の座標値を(X′,Y′)とす
る](ステップ11)、下記の(6) 式に示す区間の端点
を元に戻す変換[変換後の座標値を(X,Y)とする]
(ステップ12)を行うことにより、元の座標系での点
列データが求まる。
(Equation 4) However, in the equation (4), a: coefficient of a new forged product b: coefficient of a similar product c: coefficient of a pre-processed product of a similar product By obtaining this R at a predetermined interval of Θ,
Point sequence data by polar coordinate display in the previous process of the new forged product in this section is obtained. This point sequence data is converted in the reverse of the coordinate conversion performed so far, that is, converted into orthogonal coordinates represented by the following equation (5) [the converted coordinate value is defined as (X ′, Y ′)] ( Step 11) Transformation for restoring the end point of the section shown in the following equation (6) [Coordinate values after transformation are set to (X, Y)]
By performing (Step 12), point sequence data in the original coordinate system is obtained.

【0040】[0040]

【数5】 但し、区間の右の端点の元の位置にあたる(Xi ,Y
i )は、各区間がつながる条件を満たすため、下記の
(7) 式により求める。
(Equation 5) However, it corresponds to the original position of the right end point of the section (X i , Y
i )
It is obtained by equation (7).

【0041】[0041]

【数6】 左の端点(Xi-1 ,Yi-1 )も同様の式で求める。(Equation 6) The left end point (X i-1 , Y i-1 ) is obtained by a similar expression.

【0042】以上の形状合成を全分割区間で行う(ステ
ップ13)。ここで、本実施の形態における形状の演算
方法を、荒工程品の形状合成に適用した場合を、図5に
示す。
The above-described shape synthesis is performed for all divided sections (step 13). Here, FIG. 5 shows a case where the shape calculation method according to the present embodiment is applied to shape synthesis of a rough process product.

【0043】図5(a)は、新鍛造品の仕上げ形状を、
図5(b)は、類似品の仕上げ形状を、図5(c)は、
類似品の前工程形状である荒打ち形状をそれぞれ表し、
図5(d)〜(f)は、合成した新鍛造品の荒打ち形状
を表す。
FIG. 5A shows the finished shape of a new forged product.
FIG. 5B shows a finished shape of a similar product, and FIG.
Represent the roughing shape which is the pre-process shape of similar products,
5 (d) to 5 (f) show the roughing shape of the synthesized new forged product.

【0044】なお、この形状の合成方法によると、係数
a,b,cの値を変えることにより、バラエティーに富
んだ形状を出力することができる。この係数は、通常は
予め設定しておくものであるが、出力された結果を見て
係数を変更して、形状合成だけをやり直すことができ
る。
According to the shape synthesizing method, a variety of shapes can be output by changing the values of the coefficients a, b, and c. This coefficient is usually set in advance, but it is possible to change the coefficient by looking at the output result and redo only the shape synthesis.

【0045】また、本実施の形態における形状の合成方
法では、新鍛造品形状を用いているため、新鍛造品の形
状の特徴を反映していることは勿論であるが、類似品と
類似品の前工程品との形状差も用いているため、類似品
の位置決め、体積配分、欠陥防止などのノウハウも受け
継いでいることになる。
In the method of synthesizing the shape according to the present embodiment, since the shape of the new forged product is used, it is obvious that the shape of the new forged product is reflected. Since the difference in shape from the previous product is also used, know-how such as positioning, volume distribution, and defect prevention of similar products is inherited.

【0046】なお、選択する類似品は、1種類だけでな
く複数の類似品を選択して複数の形状合成結果を同時に
出力できるようになっており、設計者は、これらの中か
ら自社に合った形状を選ぶことができる。
Incidentally, not only one kind of similar products but also a plurality of similar products can be selected and a plurality of shape synthesis results can be output at the same time. Shape can be selected.

【0047】この第1の実施の形態では、まず断面の輪
郭形状を区間に分け、各区間を新鍛造品、類似品および
類似品の前工程品で1:1:1に対応させ、最終的に
は、輪郭線上の点列をも1:1:1に対応させるように
したものである。
In the first embodiment, first, the contour of the cross section is divided into sections, and each section is made to correspond to a new forged product, a similar product, and a pre-process product of the similar product in a 1: 1: 1 relation. , The point sequence on the contour line is also made to correspond 1: 1: 1.

【0048】次に、本発明の第2の実施の形態における
形状演算方法について説明するが、第1の実施の形態と
異なる箇所は、新鍛造品の前工程形状の断面の輪郭の合
成の方法であるため、本第2の実施の形態においては、
この部分に着目して説明する。
Next, the shape calculation method according to the second embodiment of the present invention will be described. The difference from the first embodiment is that the method of synthesizing the contour of the cross section of the pre-process shape of the new forged product is different. Therefore, in the second embodiment,
A description will be given focusing on this part.

【0049】すなわち、上記第1の実施の形態では、上
述したように、まず断面の輪郭形状を区間に分け、各区
間を新鍛造品、類似品および類似品の前工程品で1:
1:1に対応させ、最終的には、輪郭線上の点列をも
1:1:1に対応させるようにしたが、本第2の実施の
形態の形状演算方法は、その原理を拡張して、断面形状
の輪郭線を線分と円弧とからなる要素で表し、各要素を
新鍛造品、類似品および類似品の前工程品で1:1:1
に対応させることで、(4) 式の半径の代わりに各要素の
曲率を用いた下記に示す(8) 式に基づき新鍛造品の前工
程での形状を求める方法である。
That is, in the first embodiment, as described above, first, the sectional profile is divided into sections, and each section is divided into a new forged product, a similar product, and a pre-process product of the similar product.
1: 1, and finally the point sequence on the contour line also corresponds to 1: 1: 1. However, the shape calculation method of the second embodiment extends the principle. The outline of the cross-sectional shape is represented by an element composed of a line segment and an arc, and each element is a new forged product, a similar product, and a pre-processed product of a similar product in a ratio of 1: 1: 1.
In this method, the shape of the new forged product in the previous process is obtained based on the following equation (8) using the curvature of each element instead of the radius in equation (4).

【0050】[0050]

【数7】 但し、(8) 式中、 1/R:新鍛造品の前工程での形状の断面輪郭形状の要
素の曲率 1/r:新鍛造品の断面輪郭形状の要素の曲率 1/ρ:類似品の断面輪郭形状の要素の曲率 1/Ρ:類似品の前工程での形状の断面輪郭形状の要素
の曲率 である。
(Equation 7) Where, 1 / R: the curvature of the element of the cross-sectional profile of the shape in the previous process of the new forged product 1 / r: the curvature of the element of the cross-sectional profile of the new forged product 1 / ρ: similar product 1 / Ρ: Curvature of the element of the cross-sectional profile of the similar product in the previous process.

【0051】新鍛造品が軸対称物品である場合には、以
上で得られた前工程での無次元化断面の輪郭形状を元の
寸法に戻した後(外半径を基準に戻し、高さ方向で断面
積を合わせる)、断面を回転スイープさせて全体形状を
求める。
In the case where the new forged product is an axisymmetric product, the contour shape of the dimensionless cross-section obtained in the preceding process obtained as described above is returned to the original size (returning to the outer radius and height). The cross section is rotated and swept to determine the overall shape.

【0052】新鍛造品が非軸対称物品である場合には、
断面の水平方向の寸法を基準に高さ方向で断面積を合わ
せる様にして元の寸法に戻し、この断面をつないで全体
形状を求める。このように断面の外半径あるいは水平方
向で寸法を合わせるのは、次の工程(例えば、荒打ち品
の次の工程においては仕上げ工程となる)での位置決め
を容易にするためである。
When the new forging is a non-axisymmetric article,
The cross-sectional area is adjusted in the height direction based on the horizontal dimension of the cross section to return to the original dimension, and the cross section is connected to obtain the entire shape. The reason why the dimensions are adjusted in the outer radius or the horizontal direction of the cross section in this way is to facilitate positioning in the next step (for example, a finishing step is performed in the next step of a rough-hit product).

【0053】これらの新鍛造品に対する前工程における
形状合成処理は、コンピュータ装置を用いて行い、最終
的に求められた全体形状データを用いると、新鍛造品に
対する前工程での形状を得るための金型の凹部形状の形
状データを容易に得ることができる。
The shape synthesizing process in the pre-process for these new forged products is performed by using a computer, and by using the finally obtained overall shape data, the shape for obtaining the shapes in the pre-process for the new forged products is obtained. Shape data of the concave shape of the mold can be easily obtained.

【0054】[0054]

【発明の効果】上記本発明の鍛造品の前工程での形状
方法によると、新鍛造品の形状が与えられると、予め
記憶されている既鍛造品の形状とが比較されて、類似度
が高い既鍛造品とその前工程での形状が選択され、そし
て新鍛造品の形状を含めた3形状を用いて新鍛造品の前
工程での形状を演算により合成処理するため、新鍛造品
の形状の特徴を反映することができ、したがって位置決
め、体積配分、欠陥等の問題が少なく、出力された形状
の修正も少なくなる。
Effect of the Invention shape Starring in the previous step of the forged product of the present invention
According to the calculation method, when the shape of the new forged product is given, the shape of the forged product stored in advance is compared with the forged product having a high degree of similarity and the shape in the previous process is selected, and Since the shape of the new forged product in the previous process is synthesized and calculated using three shapes including the shape of the new forged product, the characteristics of the shape of the new forged product can be reflected. Problems such as defects are reduced, and correction of the output shape is also reduced.

【0055】また、複数の類似品について同時に新鍛造
品の前工程での形状が出力されるため、自社に合った前
工程形状を選択し、求めることができる。さらに、上記
の形状演算方法により求められた新鍛造品の前工程での
形状データを使用することにより、コンピュータ装置を
使用して、形状データを演算することにより、複雑な形
状であっても、非常に簡単に金型形状を設計することが
できる。
[0055] Further, since the shape in the previous step at the same time the new forging for a plurality of similar products is output, select suits previous step shape house can be obtained. Further, by using the shape data of the new forging of the previous step determined by the shape calculation method, and <br/> using computer equipment, by calculating the shape data, complex Even in the case of a shape, a mold shape can be designed very easily.

【図面の簡単な説明】[Brief description of the drawings]

【図1】本発明の第1の実施の形態における鍛造品の前
工程での形状を求めるフローチャートである。
FIG. 1 is a flowchart for obtaining a shape of a forged product in a previous process according to a first embodiment of the present invention.

【図2】同第1の実施の形態における鍛造品の前工程で
の形状を求める処理中の断面の輪郭形状を求めるフロー
チャートである。
FIG. 2 is a flowchart for obtaining a contour shape of a cross section during a process of obtaining a shape of a forged product in a previous process according to the first embodiment.

【図3】同第1の実施の形態における鍛造品の形状処理
の状態を示す図である。
FIG. 3 is a diagram showing a state of a forging product shape processing in the first embodiment.

【図4】同第1の実施の形態における鍛造品の形状処理
のための座標変換を説明する図である。
FIG. 4 is a diagram illustrating coordinate conversion for shape processing of a forged product in the first embodiment.

【図5】同第1の実施の形態における各種形状とその合
成形状を示す図である。
FIG. 5 is a view showing various shapes and a composite shape thereof in the first embodiment.

【符号の説明】 1 鍛造品の断面の輪郭形状 2 断面の輪郭を分割する点(分割点) 3 新鍛造品の輪郭形状(区間分割後) 4 類似品の輪郭形状(区間分割後) 5 類似品の前工程での輪郭形状(区間分割後) 6 区間の左端点を合わせる位置 7 区間の右端点を合わせる位置[Description of Signs] 1 Outline shape of cross section of forged product 2 Point at which the outline of cross section is divided (division point) 3 Outline shape of new forged product (after section division) 4 Outline shape of similar product (after section division) 5 Similar Contour shape in pre-process of product (after section division) 6 Position to match left end point of section 7 Position to match right end point of section

───────────────────────────────────────────────────── フロントページの続き (56)参考文献 特開 平8−241338(JP,A) 特開 平7−49899(JP,A) 特開 平6−344066(JP,A) 塑性と加工 36巻 408号 35−40頁 片山傳生ほか「冷間鍛造における工程 設計のインテリジェントCADに関する 研究」 (58)調査した分野(Int.Cl.7,DB名) G06F 17/50 680 G06F 17/50 626 B21J 5/00 B21J 13/02 JICSTファイル(JOIS)────────────────────────────────────────────────── ─── Continuation of the front page (56) References JP-A-8-241338 (JP, A) JP-A-7-49899 (JP, A) JP-A-6-344066 (JP, A) Plasticity and processing 36 No. 408, pp. 35-40 Deno Katayama et al., "Study on Intelligent CAD for Process Design in Cold Forging" (58) Fields investigated (Int. Cl. 7 , DB name) 5/00 B21J 13/02 JICST file (JOIS)

Claims (4)

(57)【特許請求の範囲】(57) [Claims] 【請求項1】所定工程での形状が新規な新鍛造品におけ
る前工程での形状をコンピュータ装置を使用して演算
る方法であって、まず新鍛造品の所定工程に対応する形
状に類似する既知である既鍛造品の形状およびその前工
程での形状をデータベースから検索して求めておき、次
に上記新鍛造品、既鍛造品および既鍛造品の前工程品の
3形状の断面の輪郭を、凹凸などの形状の特徴部に応じ
てそれぞれ同一数でもって分割し、これら分割した各区
間において、上記新鍛造品、既鍛造品および既鍛造品の
前工程品の輪郭形状の差に基づく演算式により新鍛造品
の前工程形状の断面の輪郭を区間毎に合成し、この合成
された各区間における輪郭をつなぐことにより、新鍛造
品の前工程形状を演算することを特徴とする鍛造品の前
工程での形状演算方法。
1. A method for calculating a shape of a new forged product in a pre-process using a computer device , wherein the shape in a predetermined process corresponds to a predetermined process of a new forged product. Form
The shape of the known forged product similar to the shape and the shape in the previous process are searched for and obtained from the database , and then the three shapes of the new forged product, the forged product, and the preprocessed product of the forged product are obtained. The cross section of the cross section is divided by the same number according to the characteristic portion of the shape such as unevenness, and in each of these divided sections, the contour shape of the new forged product, the forged product, and the pre-processed product of the forged product By combining the contours of the cross section of the pre-process shape of the new forged product for each section using an arithmetic expression based on the difference between the sections and connecting the contours in each of the synthesized sections, the pre-process shape of the new forged product is calculated. A method for calculating the shape of a forged product in the preceding process.
【請求項2】新鍛造品の前工程形状の断面の輪郭を区間
毎に合成する際に、新鍛造品、既鍛造品および既鍛造品
の前工程品の3形状の断面の輪郭をそれぞれ点列座標デ
ータに変換し、各形状の各区間ごとに対応する上記各座
標データにおける極座標での半径の差に基づく下記演算
式(イ)により新鍛造品の前工程形状に対応する各区間
毎における各座標データを演算し、これら各座標データ
に基づき合成処理することを特徴とする請求項1記載の
鍛造品の前工程での形状演算方法。R=a×r− b×ρ+ c×P・・・(イ) (a−b+c=1) 但し、 R:新鍛造品の前工程での形状の断面輪郭形状における
極座標での半径 r:新鍛造品の形状の断面輪郭形状における極座標での
半径 ρ:類似品の形状の断面輪郭形状における極座標での半
P:類似品の前工程での形状の断面輪郭形状における極
座標での半径 a:新鍛造品の係数 b:類似品の係数 c:類似品の前工程の係数 である。
2. When synthesizing the cross-sectional contour of the pre-processed shape of the new forged product for each section, the cross-sectional contours of the three shapes of the new forged product, the forged product, and the pre-processed product of the forged product are each pointed. The following calculation based on the difference of the radius at the polar coordinates in the above coordinate data corresponding to each section of each shape after converting to column coordinate data
2. The pre-process for a forged product according to claim 1, wherein each coordinate data in each section corresponding to the pre-process shape of the new forged product is calculated by the equation (a), and a synthesis process is performed based on the respective coordinate data. Shape calculation method. R = a × r−b × ρ + c × P (a) (ab−c = 1), where R is the cross-sectional profile of the shape in the previous process of the new forged product.
Radius r in polar coordinates : in polar coordinates in the cross-sectional profile of the shape of the new forging
Radius ρ: half in polar coordinates of the cross-sectional profile of a similar product
Diameter P: pole in cross-sectional profile of similar product in previous process
Coordinate radius a: coefficient of a new forged product b: coefficient of a similar product c: coefficient of a previous process of a similar product .
【請求項3】新鍛造品の前工程形状の断面の輪郭を区間
毎に合成する際に、新鍛造品、既鍛造品および既鍛造品
の前工程品の3形状の断面の輪郭をそれぞれ線分と円弧
とにかつ同一数でもって要素分割し、各形状の対応する
要素同士の曲率の差に基づく下記演算式(ロ)により
鍛造品の前工程形状における各要素の線分と円弧の曲率
演算し、この曲率に基づく線分または円弧を合成処理
することを特徴とする請求項1記載の鍛造品の前工程で
の形状演算方法。 1/R=a×(1/r)− b(1/ρ)+ c(1/P)・・・(ロ) (a−b+c=1) 但し、 1/R:新鍛造品の前工程での形状の断面輪郭形状の要
素の曲率 1/r:新鍛造品の断面輪郭形状の要素の曲率 1/ρ:類似品の断面輪郭形状の要素の曲率 1/P:類似品の前工程での形状の断面輪郭形状の要素
の曲率 a:新鍛造品の係数 b:類似品の係数 c:類似品の前工程の係数 である。
3. When synthesizing the cross-sectional contours of the pre-processed shape of the new forged product for each section, the cross-sectional contours of the three shapes of the new forged product, the forged product, and the pre-processed product of the forged product are respectively lined. The element is divided by the same number into minutes and arcs, and the line and arc of each element in the pre-process shape of the new forged product are calculated by the following arithmetic expression (b) based on the difference in curvature between the corresponding elements of each shape. calculating a curvature, the shape calculation method in the previous step according to claim 1, wherein forgings, characterized in that the line or arc to synthesis processing <br/> based on the curvature. 1 / R = a × (1 / r) −b (1 / ρ) + c (1 / P) (b) (ab−c = 1), where 1 / R: pre-process for new forged product Of the cross-sectional profile of the shape at
Elemental curvature 1 / r: Curvature of the element of the cross-sectional profile of the new forged product 1 / ρ: Curvature of the element of the cross-sectional profile of the similar product 1 / P: Element of the cross-sectional profile of the similar product in the previous process
The curvature of a: coefficient of the new forging b: coefficient of similar products c: is a coefficient of the previous step of similar products.
【請求項4】請求項1ないし3のいずれかに記載の鍛造
品の前工程での形状演算方法により演算される断面の形
状を複数断面について演算し、これら求められた断面を
つなぎ合わせて3次元形状を合成処理することにより、
新鍛造品の3次元の前工程形状を演算することを特徴と
する鍛造品の前工程での形状演算方法。
4. A cross-sectional shape calculated by a shape calculating method in a pre-process of a forged product according to any one of claims 1 to 3 is calculated for a plurality of cross-sections , and these obtained cross-sections are joined. by the dimension shape synthesis process,
Shape calculation method in the forging of the previous step, which comprises calculating the three-dimensional pre-process shape of the new forging.
JP05373397A 1997-03-10 1997-03-10 Shape calculation method in the pre-process of forged products Expired - Fee Related JP3148144B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
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Application Number Priority Date Filing Date Title
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* Cited by examiner, † Cited by third party
Title
塑性と加工 36巻 408号 35−40頁 片山傳生ほか「冷間鍛造における工程設計のインテリジェントCADに関する研究」

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