JP3778305B2 - Curved board splitting method - Google Patents
Curved board splitting method Download PDFInfo
- Publication number
- JP3778305B2 JP3778305B2 JP11348096A JP11348096A JP3778305B2 JP 3778305 B2 JP3778305 B2 JP 3778305B2 JP 11348096 A JP11348096 A JP 11348096A JP 11348096 A JP11348096 A JP 11348096A JP 3778305 B2 JP3778305 B2 JP 3778305B2
- Authority
- JP
- Japan
- Prior art keywords
- strain
- planned
- plate
- curved surface
- heating
- 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 - Lifetime
Links
Images
Description
【0001】
【発明の属する技術分野】
本発明は曲面を複数の平板を曲げて構成する際、曲げ加工前の平板の大きさを決める曲面の板割り方法に関する。
【0002】
【従来の技術】
船体の形状は水の抵抗を少なくするため流線型となっており、特に船首部、船尾部の形状は複雑な曲面となっている。船体の曲面を構成する外板は、適切な大きさの多数の平板を曲げ加工して曲板とし、これを溶接で接合して製作される。
【0003】
【発明が解決しようとする課題】
船体の中央部のように単純な形状の場合は外板に用いる平板の寸法を決定するのに曲げ加工の容易さなどを考慮する必要はない。これに対し船首部や船尾部のような複雑な曲面をしているところでは曲面に加工する前の平板の大きさを曲げ加工が可能でかつできるだけ大きくなるように決めている。いかに複雑な曲面でもこれを小さな平板を曲げて、継ぎ合わせれば曲げ加工は容易となるが継ぎ目が多くなる。現状このように曲率が大きく複雑な曲面に曲げ加工する平板寸法はベテランの技能者の経験により判断されている。しかし、定量的判断ができないため、その判断により決定された平板の寸法が適切なものであったかわからない場合が多く、また、その判断ができる技能者は限られており、後継者の育成はあまりなされておらず、先行きこのような技能者がいなくなる可能性が大きい。
【0004】
本発明は、上述の問題点に鑑みてなされたもので、複数の平板を曲げて継ぎ合わせ複雑な曲面を構成する場合、その平板を曲げ加工を考慮して適切な寸法にする曲面の板割り方法を提供することを目的とする。
【0005】
【課題を解決するための手段】
上記目的を達成するため請求項1の発明では、曲面を複数の平板を曲げ加工し継ぎ合わせて構成するために、該平板の曲げ加工前の大きさを決める曲面の板割り方法において、平面を計画曲面形状に変形した時発生する計画歪を有限要素法により算出し、所定の歪を発生する線状加熱条件を歪の大きさに応じて定めておき、加熱条件を選択し、前記計画歪の分布範囲の内、選択した加熱条件で発生できる大きさの歪が分布する範囲に基づき板割りを行う。
【0006】
平面を計画した曲面の形状に変形したとき発生する歪を計画歪と称し、これを有限要素法で算出する。平板にこの計画歪を発生させれば平板は計画した形状に加工される。曲げ加工法として線状に加熱し、収縮歪を発生させる線状加熱方法を用いる。線状加熱方法は加熱装置やその加熱時間、加熱方向や加熱線密度などの加熱条件により発生させる歪の大きさや方向を決めることができる。そこで線状加熱により曲げ加工するときの加熱条件をまず選択し、発生可能な歪の大きさを決め、計画歪分布の範囲の内、選択した加熱条件の発生する歪の大きさの分布する範囲の大きさに基づき加熱条件で曲げ加工しようとする平板の大きさを定める。これにより選択した加熱条件で曲げ加工できる最大の大きさの平板の寸法を定めることができる。
【0007】
請求項2の発明では、前記計画曲面形状を平面に変形したとき発生する歪に基づいて前記計画歪を算出する。計画曲面形状を平面に変形した時生じる歪の符号を逆にすれば(例えば引張歪は圧縮歪にする)、平面を計画曲面形状に変形した時の計画歪を得ることができる。
【0008】
請求項3の発明では、前記計画歪の分布状態により定めた板割りを、板割りの歩止まり、標準の平板サイズの少なくともいずれかに基づき修正した板割りとする。
【0009】
曲げ加工平板の大きさは、曲げ加工できる最大の大きさとなるように定めると、板継が減る分効率はよいが、曲げ加工平板の形状によっては、長方形の素材から切り出すとき周囲の切り落とし範囲が多く歩止りが悪くなる。また、平板はいくつかの標準の寸法のものがあり、この標準以外の寸法を購入する場合、割高となる。このように曲げ加工以外の条件も考慮して平板の寸法を決める。
【0010】
【発明の実施の形態】
以下、本発明の実施の形態について図面を参照して説明する。
図1は本発明の実施の形態を説明する図である。G1は平板を計画曲面に変形させそれにより発生する歪を有限要素法弾性大たわみ計算法を用いて計算する状態を示す。この歪を計画歪と称し、平板にこの計画歪を発生させると、計画曲面に曲げることができる。
【0011】
G2は平板上に生じた計画歪の分布状態を示す。有限要素法では計算対象面を多数のメッシュに分割しそのメッシュ内では歪や応力は一様として計算する。メッシュ内の矢印→←は圧縮歪を示す。G3は線状加熱に用いる加熱条件によって発生させることのできる歪の大きさを複数の加熱条件毎に表したもので、平板の板割りを決定する判定基準である。線状加熱法は対象物を線状に加熱し、圧縮歪を発生させ、加熱強度、加熱位置や方向などの加熱条件を定めて加熱することにより、所望の曲面に加工する方法である。なお、加熱強度は加熱装置の出力や加熱時間によって決まる。平板の板割りをする場合、その平板を曲げ加工する時の加熱条件を判定基準から選択して決め、これにより発生することのできる歪の大きさが決められる。
【0012】
G4はG2で得られた歪分布からG3で定められた歪の大きさ以内となる範囲を限定した境界を設定したものである。この境界線内を含む2点鎖線で示すような板割りを行う。なお、このようにして一旦決めた板割りを次の2点を考慮して修正し、最終板割りを決定する。その1つはこの板取りの歩止まりが良いか否かの検討である。2つ目は板割りした寸法が商取引される標準の寸法に納まっているかの検討である。これ等の条件に適合しない時は、加熱条件を変更し、判定基準となる歪の大きさを変えて境界の再設定を行い、上述した2つの条件も満たす板割りとする。なお、この2つ以外の条件を考慮してもよい。
【0013】
G5はG4で板取りした残りの曲面の板割り方法を示す。残りの曲面に対しても、平板を残りの曲面に変形させた時の計画歪を求め、G2〜G4で説明したと同様の手順により板割りを行う。このようにして板割りを繰り返すことにより対象曲面の板割りを行うことができる。なお、計画歪を算出する場合、計画形状を平面に押しつぶし、その時発生する歪の符号を変えて(例えば、引張歪は圧縮歪に)計画歪としてもよい。
【0014】
次にG3で示した判定基準について説明する。判定基準では、加熱条件により決まる歪の大きさが規定されている。この加熱条件と歪の関係について説明する。加熱装置として所定の出力を有する高周波誘導加熱器を用い、線状に所定長さを加熱するとき、加熱線の位置に発生する変形量を図2に示す。横軸は加熱継続時間Tを示し、縦軸は加熱線に直角方向の変形量を示す。曲線Aは板厚中心の変形を示す面内収縮変形、曲線Bは板厚の上面又は下面方向の曲げ変形量を示す。なお、横軸は入熱量を加熱対象平板の板厚の2乗で割った値としてもよい。図3(a)は面内収縮変形δm を示し、(b)は曲げ変形δb を示す。(c)は面内収縮変形δm と曲げ変形δb を合成して得られる上面変形量δu =δm +δb 、下面変形量δl =δm −δb を示す。なお、hは板厚を示し、Zは板厚方向を示す。
【0015】
このように1本の加熱線について加熱条件を定めれば、加熱線の位置における変形量が得られ、この変形量からその位置および周辺の歪を算出することができる。このようにして得られる1本の加熱線による歪の大きさには上限がある。加熱線が一定のピッチで複数あるときは、1本の加熱線のデータを重ね合わせることにより発生する歪を算出することができる。しかし隣接する加熱線の間隔をあまり密にすると互いの歪が干渉し、歪が減少する傾向にあるので、適切な間隔を採用する。従って、加熱条件を定めれば、その条件によって得られる歪の限度を決定することができ、各加熱条件について発生する歪のデータを判定データとして蓄積しておく。
【0016】
【発明の効果】
以上の説明より明らかなように、本発明は、まず平板を計画曲面に曲げたとき発生する歪を有限要素法で算出する。この歪の大きさは曲げ加工の難易を表し、大きい程難しいことを示す。加熱条件により発生する歪を予め実験等により定めておき、加熱条件を選定することにより、その条件で発生する歪以下の歪が分布する範囲を限定して板割りを決定する。これにより従来経験的に行われてきた板割りを定量的に実施することができる。また、このように曲げ加工の容易性に基づき決定した板割りを材料の歩止まりや取り引きされる標準のサイズ等を考慮して修正することにより、適正な板割りを行うことができる。
【図面の簡単な説明】
【図1】本発明の実施の形態を説明する図である。
【図2】加熱時間と発生する変形量との関係を示す図である。
【図3】(a)は面内収縮変形量、(b)は曲げ変形量、(c)は両者を重ね合わせて得られる板上面と下面の変形量を示す図である。[0001]
BACKGROUND OF THE INVENTION
The present invention relates to a curved surface splitting method for determining the size of a flat plate before bending when the curved surface is formed by bending a plurality of flat plates.
[0002]
[Prior art]
The shape of the hull is streamlined to reduce water resistance, and in particular, the bow and stern portions have complex curved surfaces. The outer plate constituting the curved surface of the hull is manufactured by bending a large number of appropriately sized flat plates into a curved plate and joining them by welding.
[0003]
[Problems to be solved by the invention]
In the case of a simple shape such as the center part of the hull, it is not necessary to consider the ease of bending or the like in determining the dimensions of the flat plate used for the outer plate. On the other hand, where the curved surface is complex, such as the bow or stern, the size of the flat plate before being processed into a curved surface is determined to be as large as possible. No matter how complicated the curved surface is, it can be bent easily by bending a small flat plate and splicing it, but there are many seams. At present, the flat plate dimensions to be bent into a complicated curved surface with such a large curvature are determined by the experience of experienced technicians. However, since it is not possible to make a quantitative judgment, it is often difficult to know whether the dimensions of the flat plate determined by the judgment were appropriate, and the number of technicians who can make the judgment is limited, and the successors are not nurtured much. There is a high possibility that such technicians will be gone.
[0004]
The present invention has been made in view of the above-described problems. When a complex curved surface is formed by bending a plurality of flat plates, the curved plate is divided into appropriate dimensions in consideration of bending. It aims to provide a method.
[0005]
[Means for Solving the Problems]
In order to achieve the above object, according to the first aspect of the present invention, in order to form a curved surface by bending and joining a plurality of flat plates, in the method of dividing the curved surface, the plane is determined. Calculate the planned strain that occurs when deformed into the planned curved surface shape by the finite element method, determine the linear heating condition for generating the predetermined strain according to the magnitude of the strain, select the heating condition, and In the distribution range, the plate is divided based on a range in which a strain having a magnitude that can be generated under the selected heating condition is distributed.
[0006]
The distortion that occurs when the plane is deformed to the shape of the planned curved surface is referred to as the planned distortion, and this is calculated by the finite element method. If this planned strain is generated in the flat plate, the flat plate is processed into the planned shape. As the bending method, a linear heating method is used in which linear heating is performed to generate shrinkage strain. The linear heating method can determine the magnitude and direction of the strain generated by the heating conditions such as the heating device, the heating time, the heating direction and the heating line density. Therefore, first select the heating conditions when bending by linear heating, determine the size of the strain that can be generated, and within the range of the planned strain distribution, the range of distribution of the strain size generated by the selected heating conditions The size of the plate to be bent under heating conditions is determined based on the size of the plate. Thereby, the dimension of the largest flat plate which can be bent under the selected heating condition can be determined.
[0007]
In the invention of claim 2, the planned strain is calculated based on the strain generated when the planned curved surface shape is deformed into a plane. If the sign of the strain generated when the planned curved surface shape is transformed into a plane is reversed (for example, the tensile strain is a compression strain), the planned strain when the plane is transformed into the planned curved surface shape can be obtained.
[0008]
According to a third aspect of the present invention, the plate division determined based on the distribution state of the planned strain is a plate division corrected based on at least one of the plate division yield and the standard plate size.
[0009]
If the size of the bent plate is determined to be the maximum size that can be bent, the efficiency of the reduction of the plate joint is good, but depending on the shape of the bent plate, there are many surrounding cut-off ranges when cutting from a rectangular material. The yield is worse. In addition, the flat plate has some standard dimensions, and when a dimension other than this standard is purchased, the flat plate becomes expensive. Thus, the dimensions of the flat plate are determined in consideration of conditions other than bending.
[0010]
DETAILED DESCRIPTION OF THE INVENTION
Hereinafter, embodiments of the present invention will be described with reference to the drawings.
FIG. 1 is a diagram for explaining an embodiment of the present invention. G1 indicates a state in which a flat plate is deformed into a planned curved surface and a strain generated thereby is calculated using a finite element method elastic large deflection calculation method. This strain is called a planned strain, and when this planned strain is generated on a flat plate, it can be bent into a planned curved surface.
[0011]
G2 indicates the distribution state of the planned strain generated on the flat plate. In the finite element method, the calculation target surface is divided into a number of meshes, and the strain and stress are calculated as uniform within the mesh. The arrow → ← in the mesh indicates compression strain. G3 represents the magnitude of strain that can be generated according to the heating conditions used for linear heating, for each of a plurality of heating conditions, and is a criterion for determining the division of a flat plate. The linear heating method is a method of processing an object into a desired curved surface by heating the object in a linear shape, generating compressive strain, and determining and heating the heating conditions such as the heating strength, heating position and direction. The heating intensity is determined by the output of the heating device and the heating time. In the case of dividing a flat plate, the heating conditions for bending the flat plate are selected and determined from judgment criteria, and thereby the magnitude of distortion that can be generated is determined.
[0012]
G4 sets a boundary that limits the range within the strain magnitude determined in G3 from the strain distribution obtained in G2. Splitting is performed as shown by a two-dot chain line including the boundary. The plate division once determined in this way is corrected in consideration of the following two points to determine the final plate division. One of them is to examine whether the yield of this planing is good. The second is an examination of whether or not the board split dimensions are within the standard dimensions for commercial transactions. When these conditions are not met, the heating condition is changed, the strain is changed as the criterion for judgment, the boundary is reset, and the board is divided so as to satisfy the above two conditions. In addition, you may consider conditions other than these two.
[0013]
G5 indicates a method of dividing the remaining curved surface cut by G4. Also for the remaining curved surface, the planned strain when the flat plate is deformed to the remaining curved surface is obtained, and the plate is divided by the same procedure as described in G2 to G4. By dividing the plate in this way, the target curved surface can be divided. When calculating the planned strain, the planned shape may be crushed to a plane, and the sign of the strain generated at that time may be changed (for example, the tensile strain is changed to the compressive strain) as the planned strain.
[0014]
Next, the determination criterion indicated by G3 will be described. In the determination criteria, the magnitude of strain determined by the heating conditions is defined. The relationship between this heating condition and strain will be described. FIG. 2 shows the amount of deformation that occurs at the position of the heating line when a high-frequency induction heater having a predetermined output is used as a heating device and a predetermined length is heated linearly. The horizontal axis indicates the heating duration T, and the vertical axis indicates the deformation amount in the direction perpendicular to the heating line. Curve A indicates in-plane contraction deformation indicating deformation at the center of the plate thickness, and curve B indicates the amount of bending deformation in the upper or lower direction of the plate thickness. The horizontal axis may be a value obtained by dividing the amount of heat input by the square of the thickness of the flat plate to be heated. FIG. 3A shows the in-plane shrinkage deformation δ m, and FIG. 3B shows the bending deformation δ b . (C) shows the upper surface deformation amount δ u = δ m + δ b and the lower surface deformation amount δ l = δ m −δ b obtained by combining the in-plane shrinkage deformation δ m and the bending deformation δ b . In addition, h shows plate | board thickness and Z shows a plate | board thickness direction.
[0015]
If the heating condition is determined for one heating wire in this way, the amount of deformation at the position of the heating wire can be obtained, and the position and the surrounding distortion can be calculated from this amount of deformation. There is an upper limit to the magnitude of strain due to one heating wire obtained in this way. When there are a plurality of heating lines at a constant pitch, it is possible to calculate the strain generated by superimposing the data of one heating line. However, if the interval between adjacent heating lines is too close, the strains interfere with each other and the strain tends to decrease. Therefore, an appropriate interval is adopted. Therefore, if the heating condition is defined, the limit of the strain obtained by the condition can be determined, and the strain data generated for each heating condition is stored as determination data.
[0016]
【The invention's effect】
As is clear from the above description, in the present invention, first, a strain generated when a flat plate is bent into a planned curved surface is calculated by a finite element method. The magnitude of this strain represents the difficulty of bending, and the larger the value, the more difficult it is. The strain generated by the heating condition is determined in advance by experiments or the like, and the selection of the heating condition determines the plate division by limiting the range in which the strain below the strain generated under the condition is distributed. As a result, it is possible to quantitatively carry out the plate splitting that has been performed empirically in the past. In addition, it is possible to perform an appropriate plate division by correcting the plate division determined based on the ease of bending in consideration of the yield of the material, the standard size to be traded, and the like.
[Brief description of the drawings]
FIG. 1 is a diagram illustrating an embodiment of the present invention.
FIG. 2 is a diagram showing the relationship between heating time and the amount of deformation that occurs.
3A is a diagram showing the amount of in-plane contraction deformation, FIG. 3B is the amount of bending deformation, and FIG. 3C is a diagram showing the amount of deformation of the upper and lower surfaces of the plate obtained by superimposing the two.
Claims (3)
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11348096A JP3778305B2 (en) | 1996-05-08 | 1996-05-08 | Curved board splitting method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11348096A JP3778305B2 (en) | 1996-05-08 | 1996-05-08 | Curved board splitting method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH09295068A JPH09295068A (en) | 1997-11-18 |
| JP3778305B2 true JP3778305B2 (en) | 2006-05-24 |
Family
ID=14613357
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP11348096A Expired - Lifetime JP3778305B2 (en) | 1996-05-08 | 1996-05-08 | Curved board splitting method |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JP3778305B2 (en) |
-
1996
- 1996-05-08 JP JP11348096A patent/JP3778305B2/en not_active Expired - Lifetime
Also Published As
| Publication number | Publication date |
|---|---|
| JPH09295068A (en) | 1997-11-18 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| JP3778305B2 (en) | Curved board splitting method | |
| JPH0760368A (en) | Bending method of metal plate by linear heating | |
| JP2666674B2 (en) | Method of bending metal plate by linear heating | |
| JP6437244B2 (en) | Constraint-specific deformation data calculation system and calculation program, welding deformation prediction system and welding deformation prediction program | |
| JP4795700B2 (en) | Bending method, metal plate, heating position determination program, and heating position determination device | |
| EP3921667B1 (en) | Ultrasound system | |
| Choi et al. | An adaptive h‐refinement using transition element for plate bending problems | |
| JP4481618B2 (en) | Calculation method of linear heating method suitable for machining of large curvature surface | |
| JP2666685B2 (en) | Method of bending metal plate by linear heating | |
| JP2001142515A (en) | Cutting simulation method | |
| JPH0576947A (en) | Working method for bending steel sheet by strip heating | |
| JP2666691B2 (en) | Method of bending metal plate by linear heating | |
| KR102252208B1 (en) | determining method for possibility of curve by self-weight for plate | |
| JP3491440B2 (en) | Bending distortion generation formula correction method by linear heating | |
| JP2002323439A (en) | Method of forming stress corrosion cracks in welded joints | |
| CN115859728A (en) | Cone-column combined shell dynamic characteristic prediction method and system based on coupling distortion similarity | |
| JP2000237826A (en) | How to select the developed shape of the metal plate for bending | |
| JPH01193679A (en) | Apparatus for calculating delay coefficient | |
| JP2768355B2 (en) | Additive manufacturing method | |
| Xi et al. | Objective function selection for array optimization using principal component regression | |
| JPH0957378A (en) | Manufacture of honeycomb panel | |
| JP2003136149A (en) | Method for bending and machining steel member of grooved sectional shape through its heating and cooling | |
| JP2658285B2 (en) | Orthogonal transformer and inverse orthogonal transformer | |
| JP4400246B2 (en) | Apparatus and program for calculating movable range of linear material | |
| JP4688287B2 (en) | Heating sequence selection method for linear heating |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| A977 | Report on retrieval |
Free format text: JAPANESE INTERMEDIATE CODE: A971007 Effective date: 20050523 |
|
| TRDD | Decision of grant or rejection written | ||
| A01 | Written decision to grant a patent or to grant a registration (utility model) |
Free format text: JAPANESE INTERMEDIATE CODE: A01 Effective date: 20060222 |
|
| A61 | First payment of annual fees (during grant procedure) |
Free format text: JAPANESE INTERMEDIATE CODE: A61 Effective date: 20060222 |
|
| R150 | Certificate of patent or registration of utility model |
Free format text: JAPANESE INTERMEDIATE CODE: R150 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20100310 Year of fee payment: 4 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20110310 Year of fee payment: 5 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20120310 Year of fee payment: 6 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20120310 Year of fee payment: 6 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20130310 Year of fee payment: 7 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20140310 Year of fee payment: 8 |
|
| R250 | Receipt of annual fees |
Free format text: JAPANESE INTERMEDIATE CODE: R250 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20140310 Year of fee payment: 8 |
|
| S111 | Request for change of ownership or part of ownership |
Free format text: JAPANESE INTERMEDIATE CODE: R313111 |
|
| FPAY | Renewal fee payment (event date is renewal date of database) |
Free format text: PAYMENT UNTIL: 20140310 Year of fee payment: 8 |
|
| R360 | Written notification for declining of transfer of rights |
Free format text: JAPANESE INTERMEDIATE CODE: R360 |
|
| R360 | Written notification for declining of transfer of rights |
Free format text: JAPANESE INTERMEDIATE CODE: R360 |
|
| R371 | Transfer withdrawn |
Free format text: JAPANESE INTERMEDIATE CODE: R371 |
|
| S111 | Request for change of ownership or part of ownership |
Free format text: JAPANESE INTERMEDIATE CODE: R313111 |
|
| R350 | Written notification of registration of transfer |
Free format text: JAPANESE INTERMEDIATE CODE: R350 |
|
| R250 | Receipt of annual fees |
Free format text: JAPANESE INTERMEDIATE CODE: R250 |
|
| EXPY | Cancellation because of completion of term |