JP2000205191A - Fan - Google Patents

Fan

Info

Publication number
JP2000205191A
JP2000205191A JP513199A JP513199A JP2000205191A JP 2000205191 A JP2000205191 A JP 2000205191A JP 513199 A JP513199 A JP 513199A JP 513199 A JP513199 A JP 513199A JP 2000205191 A JP2000205191 A JP 2000205191A
Authority
JP
Japan
Prior art keywords
fan
blade
reference point
dimensional coordinates
reference points
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.)
Granted
Application number
JP513199A
Other languages
Japanese (ja)
Other versions
JP3050219B1 (en
Inventor
Shuichi Kudo
秀一 工藤
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Daikin Industries Ltd
Original Assignee
Daikin Industries Ltd
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Daikin Industries Ltd filed Critical Daikin Industries Ltd
Priority to JP513199A priority Critical patent/JP3050219B1/en
Application granted granted Critical
Publication of JP3050219B1 publication Critical patent/JP3050219B1/en
Publication of JP2000205191A publication Critical patent/JP2000205191A/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Landscapes

  • Structures Of Non-Positive Displacement Pumps (AREA)
  • Moulds For Moulding Plastics Or The Like (AREA)

Abstract

PROBLEM TO BE SOLVED: To provide a fan capable of measuring the shape of each vane accurately and reducing the man-hours for measurement. SOLUTION: A reference point A for three-dimensional coordinates measurement is set in the neighborhood of the hub 1 on the surface of each vane 2 of a fan, while another reference point B for three-dimensional coordinates measurement is set in a position in the neighborhood of the external edge on the surface of each vane 2 and behind in the fan rotating direction R, and a reference point C for three-dimensional coordinates measurement is set in a position in the neighborhood of the external edge on the surface of the vane 2 and ahead about the fan rotating direction R. A triangular plane having apices as the reference points A, B, C is approximately decided from the measurements of these points A, B, C to serve for sensing of the rotary shaft of the fan and the inclination of the vane 2 to a plane perpendicularly intersecting the rotary shaft.

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】この発明は、ファンに関す
る。
[0001] The present invention relates to a fan.

【0002】[0002]

【従来の技術】従来、プロペラ式のファンとしては、ハ
ブと、ハブの外周面に放射状に設けられた複数の羽根と
を備えたものがある。このファンの金型を作製する場
合、金型を試作図面から作るのではなく、試作したファ
ンに対して3次元座標の測定を行って、その測定値を用
いてファンの金型を作製している。その理由は、上記試
作したファンが試作図面通りに製作できていない場合
や、変形している場合が多く、試作図面が示すファンの
形状と試作されたファンの形状とがほとんど一致しない
からである。なお、上記3次元座標の測定基準は、試作
されたファンのハブの前面側の中心に設定している。
2. Description of the Related Art Conventionally, a propeller type fan includes a hub and a plurality of blades radially provided on an outer peripheral surface of the hub. When making a mold for this fan, instead of making a mold from a prototype drawing, three-dimensional coordinates are measured for the prototype fan, and a mold for the fan is manufactured using the measured values. I have. The reason for this is that the above-mentioned prototype fan is often not manufactured according to the prototype drawing or deformed in many cases, and the fan shape shown in the prototype drawing and the prototype fan shape hardly match. . The measurement reference for the three-dimensional coordinates is set at the center on the front side of the hub of the prototype fan.

【0003】[0003]

【発明が解決しようとする課題】ところが、上記ファン
の3次元座標の測定では、測定基準をハブの前面側の中
心に設定するため、その中心から少しでもずれた所を3
次元座標の測定基準としてしまうと、羽根に対する測定
結果に誤差が生じるという問題がある。また、上記羽根
の翼面が曲面の場合、その羽根の形状を正確に検出する
には、翼面の多くの場所を測定しなければならないた
め、測定工数が増加するという問題がある。
However, in the measurement of the three-dimensional coordinates of the fan, since the measurement reference is set at the center on the front side of the hub, a point slightly deviated from the center is set.
If the dimensional coordinates are used as a measurement reference, there is a problem that an error occurs in the measurement result of the blade. Further, when the blade surface of the blade is a curved surface, many positions on the blade surface must be measured in order to accurately detect the shape of the blade, so that there is a problem that the number of measurement steps increases.

【0004】そこで、この発明の目的は、羽根の形状を
正確に測定できると共に、測定工数を低減できるファン
を提供することにある。
An object of the present invention is to provide a fan capable of accurately measuring the shape of a blade and reducing the number of measurement steps.

【0005】[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のファンは、ハブと、上記ハブの外周面に
放射状に設けられた複数の羽根とを有するファンにおい
て、上記各羽根の翼面に少なくとも3つの3次元座標測
定用の基準点を夫々設けたことを特徴としている。
According to a first aspect of the present invention, there is provided a fan having a hub and a plurality of blades radially provided on an outer peripheral surface of the hub. At least three reference points for three-dimensional coordinate measurement are provided on the wing surface.

【0006】上記請求項1のファンによれば、上記ハブ
の外周面に放射状に設けられた複数の羽根の翼面に少な
くとも3つの3次元座標測定用の基準点を夫々設け、例
えば羽根の翼面のハブ近傍、羽根の翼面の外縁近傍かつ
回転方向の前方側および羽根の翼面の外縁近傍かつ回転
方向の後方側の3つの位置に基準点を夫々設け、3次元
座標を測定する装置を用いて、測定プローブの先端を各
羽根の基準点に合わせて、各基準点の3次元座標を夫々
測定する。そうすると、各羽根の翼面毎に、3つの基準
点の3次元座標に基づいて各基準点を頂点とする三角形
の平面が夫々定まる。そして、各羽根で定まった上記各
基準点を頂点とする三角形の平面と予め定っているファ
ンの回転軸とに基づいて、ファンの回転軸およびその回
転軸に直交する平面に対する各羽根の傾き具合(所謂、
羽根の倒れ込みと羽根の取り付け角度)を検出すること
が可能となる。したがって、上記各羽根に3〜10個程
度の3次元座標測定用の基準点を夫々設けることによっ
て、羽根の形状を正確に測定できると共に、測定工数を
低減できる。
According to the fan of the first aspect, at least three reference points for three-dimensional coordinate measurement are provided on the wing surfaces of the plurality of blades radially provided on the outer peripheral surface of the hub. A device for measuring three-dimensional coordinates by providing reference points at three positions near the hub of the surface, near the outer edge of the blade surface of the blade and near the outer edge of the blade surface of the blade, and near the outer edge of the blade surface of the blade and rearward in the direction of rotation. The three-dimensional coordinates of each reference point are measured by adjusting the tip of the measurement probe to the reference point of each blade using. Then, a triangular plane having each reference point as a vertex is determined based on the three-dimensional coordinates of the three reference points for each blade surface of each blade. Then, based on a triangular plane having the above-described reference points as vertices determined by each blade and a predetermined rotation axis of the fan, the inclination of each blade with respect to the rotation axis of the fan and a plane orthogonal to the rotation axis. Condition (so-called,
It is possible to detect the falling of the blade and the mounting angle of the blade. Therefore, by providing about 3 to 10 reference points for measuring three-dimensional coordinates on each of the blades, the shape of the blades can be accurately measured, and the number of measurement steps can be reduced.

【0007】また、請求項2のファンは、請求項1に記
載のファンにおいて、上記各羽根に設けられた上記基準
点のうちの3つの基準点を頂点として形成される三角形
の領域内に3次元座標測定用の基準点を設けたことを特
徴としている。
According to a second aspect of the present invention, there is provided a fan according to the first aspect, wherein three of the reference points provided on each of the blades have a vertex at three reference points. It is characterized in that a reference point for dimensional coordinate measurement is provided.

【0008】上記請求項2のファンによれば、上記基準
点のうちの3つの基準点を頂点とする三角形の領域内に
3次元座標測定用の基準点を設けることによって、上記
三角形を形成する3つの基準点とその三角形の領域内の
基準点から、羽根の曲面を近似的に定めることが可能と
なる。したがって、羽根の形状をより正確に測定でき
る。
According to the fan of the second aspect, the triangle is formed by providing a reference point for measuring three-dimensional coordinates in a triangular area having three of the reference points as vertices. From the three reference points and the reference points in the triangular area, the curved surface of the blade can be approximately determined. Therefore, the shape of the blade can be measured more accurately.

【0009】[0009]

【発明の実施の形態】以下、この発明のファンを図示の
実施の形態により詳細に説明する。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, a fan according to the present invention will be described in detail with reference to the illustrated embodiments.

【0010】図1はこの発明の実施の一形態のプロペラ
式のファンの羽根の正面図である。このファンは、図1
に示すように、ハブ1と、ハブ1の外周面に放射状に設
けられた複数の羽根2(図1中においては1つのみ示す)
とを備えている。上記各羽根2の正圧側の翼面のハブ1
近傍に3次元座標測定用の基準点Aを設けている。ま
た、上記羽根2の正圧側の翼面の外縁部近傍かつファン
の回転方向Rの後方側に3次元座標測定用の基準点Bを
設けている。また、上記羽根2の正圧側の翼面の外縁部
近傍かつファンの回転方向Rの前方側に3次元座標測定
用の基準点Cを設けている。さらに、上記3次元座標測
定用の基準点A,B,Cを頂点として形成される三角形の
領域内かつ羽根2の略中央に、3次元座標測定用の基準
点Dを設けている。
FIG. 1 is a front view of a blade of a propeller type fan according to an embodiment of the present invention. This fan is shown in FIG.
As shown in FIG. 1, a hub 1 and a plurality of blades 2 provided radially on the outer peripheral surface of the hub 1 (only one is shown in FIG. 1)
And Hub 1 on the pressure side of each blade 2
A reference point A for measuring three-dimensional coordinates is provided in the vicinity. A reference point B for measuring three-dimensional coordinates is provided near the outer edge of the blade surface on the positive pressure side of the blade 2 and on the rear side in the rotation direction R of the fan. A reference point C for three-dimensional coordinate measurement is provided near the outer edge of the blade surface on the positive pressure side of the blade 2 and in the front side in the rotation direction R of the fan. Further, a reference point D for measuring three-dimensional coordinates is provided in a triangular region formed with the reference points A, B, and C for measuring three-dimensional coordinates as vertices and substantially at the center of the blade 2.

【0011】また、図2は上記ファンの一部の側面図
(理解容易のため羽根2を1枚のみ示す)を示し、図3,
図4は上記ファンの羽根2をファンの側方から見た側面
図を示している。
FIG. 2 is a side view of a part of the fan.
(Only one blade 2 is shown for easy understanding), and FIG.
FIG. 4 shows a side view of the blade 2 of the fan as viewed from the side of the fan.

【0012】上記構成のファンにおいて、測定時、図1
に示すように、3次元座標を測定する装置(図示せず)を
用いて、測定プローブの先端を各羽根2の翼面に設けら
れた基準点A,B,C,Dに夫々合わせて、基準点A,B,
C,Dの3次元座標を夫々測定する。そうすると、上記
各羽根2の翼面毎に、3つの基準点A,B,Cの3次元座
標に基づいて基準点A,B,Cを頂点とする三角形の平面
が夫々定まる。そして、各羽根2で定まった上記3つの
基準点A,B,Cを頂点とする三角形の平面と予め定まっ
ているファンの回転軸とに基づいて、図2に示すよう
に、上記ファンの回転軸に対する各羽根2の傾き具合
(図2の矢印に示す羽根の倒れ込み)を検出する。また、
図3に示すように、上記回転軸に直交する平面に対する
各羽根2の傾き具合(図3の矢印に示す羽根の取りつけ
角度)とを検出する。
In the fan having the above-described configuration, at the time of measurement, FIG.
As shown in (3), using a device for measuring three-dimensional coordinates (not shown), the tip of the measurement probe is aligned with reference points A, B, C, and D provided on the wing surface of each blade 2, respectively. Reference points A, B,
The three-dimensional coordinates of C and D are measured respectively. Then, a triangular plane having the vertices of the reference points A, B, and C is determined based on the three-dimensional coordinates of the three reference points A, B, and C for each blade surface of each of the blades 2. Then, based on a triangular plane having the three reference points A, B, and C as vertices determined by the blades 2 and a predetermined rotation axis of the fan, as shown in FIG. The degree of inclination of each blade 2 with respect to the axis
(Fall of the blade shown by the arrow in FIG. 2) is detected. Also,
As shown in FIG. 3, the degree of inclination of each blade 2 with respect to a plane perpendicular to the rotation axis (the mounting angle of the blade indicated by the arrow in FIG. 3) is detected.

【0013】したがって、図1に示すように、上記3次
元座標測定用の基準点A,B,Cを各羽根2に夫々設ける
ことによって、羽根2の形状を正確に測定でき、測定工
数を低減できる。
Therefore, as shown in FIG. 1, by providing each of the blades 2 with the reference points A, B, and C for measuring the three-dimensional coordinates, the shape of the blade 2 can be accurately measured, and the number of measurement steps can be reduced. it can.

【0014】また、図4(a)に示すように、上記3次元
座標測定用の基準点B,C,Dの3次元座標から、基準点
Bと基準点Dとの高低差H1および基準点Dと基準点C
との高低差H2を求めると共に、基準点Bから基準点D
までの水平距離と、基準点Dから基準点Cまでの水平距
離とを求める。そうすると、上記基準点Bから基準点D
までの水平距離と高低差H1とに基づいて、基準点Bと
基準点Dとの間における羽根2の曲がり具合を略検出す
ると共に、上記基準点Dから基準点Cまでの水平距離と
高低差H2とに基づいて、基準点Dと基準点Cとの間に
おける羽根2の曲がり具合を略検出する。また、図4
(b)に示すように、上記基準点Bと基準点Cとを結ぶ線
分に直交しかつ基準点Dを含む平面と、その線分との交
点から、羽根2の翼面に対しておろされる垂線の長さH
3と、基準点Bと基準点Cを結ぶ線分の長さとに基づい
て、上記基準点Bと基準点Cとの間における羽根2の曲
がり具合を略検出する。なお、上記基準点B,Cと同様
に、3次元座標測定用の基準点A(図1に示す)と基準点
Bとの間および基準点Aと基準点Cとの間における羽根
2の曲がり具合を検出することも可能である。
As shown in FIG. 4A, the three-dimensional coordinates of the reference points B, C, and D for measuring the three-dimensional coordinates are used to determine the height difference H 1 between the reference point B and the reference point D and the reference point H. Point D and reference point C
Reference point D along with obtaining height difference H 2, from the reference point B of
And the horizontal distance from the reference point D to the reference point C are determined. Then, from the reference point B to the reference point D
Until on the basis of the horizontal distance and the height difference H 1 of the curvature of the blade 2 between the reference point B and reference point D as well as a substantially detected, horizontal distance and height from the reference point D to the reference point C based on the difference H 2, approximately detect the curvature of the blade 2 between the reference point D and the reference point C. FIG.
As shown in (b), the plane perpendicular to the line connecting the reference point B and the reference point C and including the reference point D, and the intersection of the line with the plane, lower the blade surface of the blade 2 from the intersection. Length of perpendicular line H
Based on 3 and the length of a line connecting the reference points B and C, the degree of bending of the blade 2 between the reference points B and C is substantially detected. In addition, similarly to the above-mentioned reference points B and C, the bending of the blade 2 between the reference point A (shown in FIG. 1) for three-dimensional coordinate measurement and the reference point B and between the reference point A and the reference point C. It is also possible to detect the condition.

【0015】したがって、上記各羽根2の曲面を近似的
に定めることが可能となるので、羽根2の形状をより正
確に測定できる。なお、ファンの各羽根に設ける基準点
を3〜10個程度に限定すれば、ファンの羽根を通過す
る気流が乱れることもない。
Therefore, the curved surface of each blade 2 can be approximately determined, so that the shape of each blade 2 can be measured more accurately. If the number of reference points provided on each blade of the fan is limited to about 3 to 10, the airflow passing through the blades of the fan will not be disturbed.

【0016】上記実施の形態では、3次元座標測定用の
基準点A,B,C,Dを各羽根2に設けたプロペラ式のフ
ァンについて説明したが、例えば斜流ファンや求心ファ
ン等でもよい。
In the above embodiment, a propeller type fan having three-dimensional coordinate measurement reference points A, B, C, and D provided on each blade 2 has been described. However, for example, a mixed flow fan or a centripetal fan may be used. .

【0017】また、上記実施の形態では、羽根2の翼面
に3次元座標測定用の基準点を4つ設けたが、ファンの
羽根を通る気流を乱さなければ、3次元座標測定用の基
準点を5個以上にしてもよい。また、上記ファンの羽根
2の負圧側の翼面に、3次元座標測定用の基準点を設け
てもよいし、正圧,負圧の両側の翼面に基準点を設けて
もよい。
In the above-described embodiment, four reference points for three-dimensional coordinate measurement are provided on the blade surface of the blade 2. However, if the airflow passing through the blades of the fan is not disturbed, the three-dimensional coordinate measurement reference point is not disturbed. The number of points may be five or more. Further, a reference point for three-dimensional coordinate measurement may be provided on the negative pressure side of the blade 2 of the fan, or a reference point may be provided on both positive and negative pressure side surfaces.

【0018】なお、3次元座標測定用の基準点は、3次
元座標を測定するためのプローブの先端を合わせやすい
形状であればよく、位置、形状、大きさ、個数を工夫し
て、ディンプルまたはボルテックスジェネレータのよう
な機能を有するものでもよい。
The reference point for measuring the three-dimensional coordinates may be any shape as long as the tip of the probe for measuring the three-dimensional coordinates can be easily adjusted. It may have a function like a vortex generator.

【0019】[0019]

【発明の効果】以上より明らかなように、請求項1の発
明のファンは、ファンの各羽根の翼面に少なくとも3つ
の3次元座標測定用の基準点を設けているので、基準点
を頂点とする平面を略特定して、ファンの回転軸および
その回転軸に直交する平面に対する各羽根の傾き具合を
検出することができる。したがって、上記ファンの羽根
の形状を正確に測定できると共に、測定工数を低減でき
る。
As is apparent from the above description, the fan according to the first aspect of the present invention has at least three reference points for measuring three-dimensional coordinates on the blade surface of each blade of the fan. By substantially specifying the plane, the inclination of each blade with respect to the plane of rotation of the fan and a plane perpendicular to the axis of rotation can be detected. Therefore, the shape of the fan blade can be accurately measured, and the number of measurement steps can be reduced.

【0020】また、請求項2の発明のファンは、上記基
準点のうちの3つの基準点を頂点とする三角形の領域内
に3次元座標測定用の基準点を設けるので、上記三角形
を形成する3つの基準点とその三角形の領域内の基準点
とにより羽根の曲面を近似的に定めることが可能とな
り、羽根の形状をより正確に測定できる。
In the fan according to the second aspect of the present invention, since the reference point for measuring three-dimensional coordinates is provided in a triangular area having three of the reference points as vertices, the triangle is formed. The curved surface of the blade can be approximately determined by the three reference points and the reference points within the triangular region, and the shape of the blade can be measured more accurately.

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

【図1】 図1はこの発明の実施の一形態のファンの羽
根の正面図である。
FIG. 1 is a front view of a blade of a fan according to an embodiment of the present invention.

【図2】 図2は上記ファンの一部の側面図である。FIG. 2 is a side view of a part of the fan.

【図3】 図3は上記ファンの羽根の側面図である。FIG. 3 is a side view of the blade of the fan.

【図4】 図4(a),図4(b)は上記ファンの羽根の曲
がり具合を説明する側面図である。
FIGS. 4 (a) and 4 (b) are side views for explaining how the blades of the fan are bent.

【符号の説明】[Explanation of symbols]

1…ハブ、2…羽根、A,B,C,D…3次元座標測定用
の基準点。
Reference numeral 1 denotes a hub, 2 denotes a blade, A, B, C, D: a reference point for measuring three-dimensional coordinates.

Claims (2)

【特許請求の範囲】[Claims] 【請求項1】 ハブ(1)と、上記ハブ(1)の外周面に放
射状に設けられた複数の羽根(2)とを有するファンにお
いて、 上記各羽根(2)の翼面に少なくとも3つの3次元座標測
定用の基準点(A,B,C,D)を夫々設けたことを特徴と
するファン。
1. A fan having a hub (1) and a plurality of blades (2) radially provided on an outer peripheral surface of the hub (1), wherein at least three blades are provided on a blade surface of each of the blades (2). A fan characterized by providing reference points (A, B, C, D) for measuring three-dimensional coordinates.
【請求項2】 請求項1に記載のファンにおいて、上記
各羽根(2)に設けられた上記基準点(A,B,C,D)のう
ちの3つの基準点(A,B,C)を頂点として形成される三
角形の領域内に3次元座標測定用の基準点(D)を設けた
ことを特徴とするファン。
2. The fan according to claim 1, wherein three reference points (A, B, C) of said reference points (A, B, C, D) provided on each of said blades (2). A fan characterized in that a reference point (D) for measuring three-dimensional coordinates is provided in a triangular area formed with a vertex as a vertex.
JP513199A 1999-01-12 1999-01-12 fan Expired - Fee Related JP3050219B1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP513199A JP3050219B1 (en) 1999-01-12 1999-01-12 fan

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP513199A JP3050219B1 (en) 1999-01-12 1999-01-12 fan

Publications (2)

Publication Number Publication Date
JP3050219B1 JP3050219B1 (en) 2000-06-12
JP2000205191A true JP2000205191A (en) 2000-07-25

Family

ID=11602769

Family Applications (1)

Application Number Title Priority Date Filing Date
JP513199A Expired - Fee Related JP3050219B1 (en) 1999-01-12 1999-01-12 fan

Country Status (1)

Country Link
JP (1) JP3050219B1 (en)

Also Published As

Publication number Publication date
JP3050219B1 (en) 2000-06-12

Similar Documents

Publication Publication Date Title
JP4487059B2 (en) Apparatus and method for determining wind speed and direction experienced by a wind turbine
US6550344B2 (en) Semi-flush air data sensor
JP2913005B2 (en) Flight velocity vector detection system using a truncated polygonal pitot tube probe and a truncated polygonal pitot tube probe
US8184909B2 (en) Method for comparing sectioned geometric data representations for selected objects
CN112507489B (en) Turbine guide blade and guide device throat area calculation method
JP3486672B2 (en) Arithmetic processing method and method in wide-velocity range flight velocity vector measurement system using quadrangular frustum type 5-hole pitot tube
WO2002029420A1 (en) Cup anemometer
Wisler et al. Gas velocity measurements within a compressor rotor passage using the laser Doppler velocimeter
JPH11311130A (en) Booster structure for jet engine
JP2019138195A (en) Propeller, propeller designing method, propeller designing method program, and information storage medium
JP3050219B1 (en) fan
JPS634666B2 (en)
JP6811656B2 (en) How to identify noise data of laser ranging device
CN108426554A (en) A kind of impeller blade streamline detection device and its working method
JP3612075B2 (en) Aviation sensors for listening to acoustic signals
JP2021110271A (en) Wind turbine wake arithmetic device and wind turbine wake arithmetic method
JP2021088974A (en) Windmill wake flow calculation device and windmill wake flow calculation method
JPH0786358B2 (en) fan
JPH08312589A (en) Structure of air blowing fan
CN208536809U (en) A kind of impeller blade streamline detection device
JP6836940B2 (en) How to identify noise data of laser ranging device
CN114252035B (en) Size detection method for turbine blade disc
WO2020127324A1 (en) A method and a system for determining the wind speed or the wind direction experienced by a wind turbine
JP2001090694A (en) Axial blower
Ebling et al. Analysis and Visualization of 3-C PIV Images from HART II using Image Processing Methods.

Legal Events

Date Code Title Description
FPAY Renewal fee payment (prs date is renewal date of database)

Year of fee payment: 8

Free format text: PAYMENT UNTIL: 20080331

FPAY Renewal fee payment (prs date is renewal date of database)

Free format text: PAYMENT UNTIL: 20090331

Year of fee payment: 9

FPAY Renewal fee payment (prs date is renewal date of database)

Year of fee payment: 9

Free format text: PAYMENT UNTIL: 20090331

FPAY Renewal fee payment (prs date is renewal date of database)

Year of fee payment: 10

Free format text: PAYMENT UNTIL: 20100331

FPAY Renewal fee payment (prs date is renewal date of database)

Free format text: PAYMENT UNTIL: 20100331

Year of fee payment: 10

FPAY Renewal fee payment (prs date is renewal date of database)

Year of fee payment: 11

Free format text: PAYMENT UNTIL: 20110331

LAPS Cancellation because of no payment of annual fees