JP2000008648A - Vibration suppression structure for tower structures - Google Patents
Vibration suppression structure for tower structuresInfo
- Publication number
- JP2000008648A JP2000008648A JP10181285A JP18128598A JP2000008648A JP 2000008648 A JP2000008648 A JP 2000008648A JP 10181285 A JP10181285 A JP 10181285A JP 18128598 A JP18128598 A JP 18128598A JP 2000008648 A JP2000008648 A JP 2000008648A
- Authority
- JP
- Japan
- Prior art keywords
- tower
- vibration
- tops
- horizontal ring
- vertical direction
- 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.)
- Pending
Links
Landscapes
- Buildings Adapted To Withstand Abnormal External Influences (AREA)
Abstract
(57)【要約】
【課題】 景観を良好にし得、メンテナンスを容易に行
うことができるとともに、振動を効果的に抑制すること
ができる塔状構造物の振動抑制構造を提供する。
【解決手段】 塔状構造物１の外壁を八角形の筒状に構
成するとともに、八角形の各頂部を上下方向で結ぶ各稜
線６ａを、それぞれ螺旋状に傾斜させたことで、塔状構
造物１にフィンまたはリブなどの突起物を設けることな
く、風による振動すなわち塔状構造物１に発生するカル
マン渦による起振力に位相のずれを持たせることがで
き、これにより、カルマン渦に起因する振動を景観を損
なうことなく効果的に減衰させることができるととも
に、塔状構造物１のメンテナンスを容易に行うことがで
きる。
(57) [Summary] [PROBLEMS] To provide a vibration suppressing structure for a tower-like structure capable of improving a landscape, facilitating maintenance, and effectively suppressing vibration. SOLUTION: The outer wall of the tower-like structure 1 is formed in an octagonal cylindrical shape, and each ridgeline 6a connecting the tops of the octagons in the vertical direction is spirally inclined, respectively. Without providing protrusions such as fins or ribs on the object 1, it is possible to impart a phase shift to the vibration due to the wind, that is, the vibrating force generated by the Karman vortex generated in the tower-like structure 1, thereby reducing the Karman vortex. The resulting vibration can be effectively attenuated without impairing the scenery, and the maintenance of the tower-like structure 1 can be easily performed.
Description
【０００１】[0001]
【発明の属する技術分野】本発明は、風などによる塔状
構造物の振動を低減する振動抑制構造に関するものであ
る。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a vibration suppressing structure for reducing vibration of a tower-like structure due to wind or the like.
【０００２】[0002]
【従来の技術】煙突、送電線鉄塔、飛行場の管制塔、縦
長のビルなどの塔状構造物は、風による振動すなわちカ
ルマン渦に起因する振動が発生し易い構造物である。2. Description of the Related Art Tower-like structures such as chimneys, transmission line towers, airfield control towers, and vertically long buildings are structures in which vibrations caused by wind, that is, vibrations caused by Karman vortices are easily generated.
【０００３】この種の塔状構造物の内、例えば煙突は、
円筒状の筒身を地面上に設置しており、この筒身の外周
が外被体で覆われている。この外被体は、筒身と同軸心
上に設置され、円筒状に、もしくは水平断面視で多角形
の筒状に構成されている。[0003] Of this type of tower structure, for example, a chimney is
A cylindrical body is installed on the ground, and the outer periphery of the body is covered with a jacket. The outer cover is installed coaxially with the cylindrical body, and is formed in a cylindrical shape or a polygonal cylindrical shape in a horizontal sectional view.
【０００４】上記した従来の構成によると、水平方向の
風が煙突に当たると、煙突の風下側にカルマン渦現象が
起こる。上記煙突には、このカルマン渦に起因して風と
直角方向の変動外力すなわち振動が発生するという問題
がある。従い、塔状構造物には、カルマン渦に起因する
振動を抑制する振動抑制構造が採用されている。According to the above-described conventional structure, when a horizontal wind hits the chimney, Karman vortex phenomenon occurs on the leeward side of the chimney. The chimney has a problem that a fluctuating external force, that is, a vibration is generated in a direction perpendicular to the wind due to the Karman vortex. Therefore, a vibration suppression structure for suppressing vibration caused by Karman vortices is adopted for the tower-like structure.
【０００５】例えば煙突に採用されている振動抑制構造
としては、図５および図６に示すように、煙突の筒身１
０に沿って螺旋状にフィン１１を巻き付けるもの、ある
いは、筒身１２の外壁面に沿って複数のリブ（突起部）
１３を配設するものなどがあり、筒身１０、１２に発生
するカルマン渦による起振力に位相差を持たせることに
より、煙突の振動を減衰させている。For example, as a vibration suppressing structure employed in a chimney, as shown in FIGS.
The fin 11 is wound spirally along a line 0 or a plurality of ribs (projections) along the outer wall surface of the cylindrical body 12.
13 is provided, and the vibration of the chimney is attenuated by giving a phase difference to the vibrating force generated by the Karman vortices generated in the cylindrical bodies 10 and 12.
【０００６】[0006]
【発明が解決しようとする課題】上記した従来の構成に
よると、振動を十分に抑制するには、フィンまたはリブ
を大きくしなければならず、これに伴って景観が悪くな
るという問題がある。また塔状構造物のメンテナンスを
行う場合、例えば、フィンまたはリブなどの突起物が設
けられているため、このような突起物の目視点検、塗装
などを行う場合、容易に行うことができなかった。According to the above-mentioned conventional configuration, in order to sufficiently suppress the vibration, the fins or ribs must be enlarged, and there is a problem that the landscape is deteriorated accordingly. In addition, when performing maintenance of the tower-like structure, for example, since projections such as fins or ribs are provided, when performing visual inspection of such projections, painting, etc., it was not easy to perform. .
【０００７】本発明は、景観を良好にし得、メンテナン
スを容易に行うことができるとともに、振動を効果的に
抑制することができる塔状構造物の振動抑制構造を提供
することを目的とするものである。SUMMARY OF THE INVENTION An object of the present invention is to provide a vibration suppressing structure for a tower-like structure capable of improving the scenery, facilitating maintenance, and effectively suppressing vibration. It is.
【０００８】[0008]
【課題を解決するための手段】上記した課題を解決する
ために、本発明の塔状構造物の振動抑制構造は、塔状構
造物の外壁を多角形の筒状に構成するとともに、多角形
の各頂部を上下方向で結ぶ各稜線を、それぞれ螺旋状に
傾斜させたものである。SUMMARY OF THE INVENTION In order to solve the above-mentioned problems, a vibration suppressing structure for a tower-like structure according to the present invention comprises an outer wall of the tower-like structure having a polygonal cylindrical shape and a polygonal shape. Each of the ridges connecting the tops in the vertical direction is spirally inclined.
【０００９】また、本発明の他の塔状構造物の振動抑制
構造は、上下方向の所定間隔置きに、多角形の水平リン
グ部材を配設し、上下の水平リング部材の頂部同士を縦
桁部材で連結するとともに、各縦桁部材を螺旋状に傾斜
させ、隣接する縦桁部材間に外壁部材を設けたものであ
る。According to another aspect of the present invention, there is provided a vibration suppressing structure for a tower-like structure, in which polygonal horizontal ring members are arranged at predetermined intervals in the vertical direction, and the tops of the upper and lower horizontal ring members are connected by vertical beams. While connecting with a member, each stringer member is spirally inclined, and an outer wall member is provided between adjacent stringers.
【００１０】また、本発明のさらに他の塔状構造物の振
動抑制構造は、上下方向の所定間隔置きに、多角形の水
平リング部材を配設し、上下の水平リング部材の頂部同
士を縦桁部材で連結するとともに、隣接する縦桁部材間
に外壁部材を設け、上記上下の水平リング部材の頂部同
士は、それぞれ水平面内で位相のずれを有するものであ
る。[0010] Still another aspect of the present invention is a vibration suppressing structure for a tower-like structure, in which polygonal horizontal ring members are disposed at predetermined intervals in the vertical direction, and the tops of the upper and lower horizontal ring members are vertically aligned. In addition to being connected by the girder member, an outer wall member is provided between the adjacent vertical girder members, and the tops of the upper and lower horizontal ring members have a phase shift in a horizontal plane.
【００１１】上記各構成によると、塔状構造物にフィン
またはリブなどの突起物を設けることなく、風による振
動すなわち塔状構造物に発生するカルマン渦による起振
力に位相のずれを持たせることができ、これにより、カ
ルマン渦に起因する振動を景観を損なうことなく効果的
に減衰させることができるとともに、塔状構造物のメン
テナンスを容易に行うことができる。According to each of the above-described structures, the phase due to the vibration caused by the wind, that is, the vibrating force caused by the Karman vortex generated in the tower-like structure is provided without providing the tower-like structure with protrusions such as fins or ribs. This makes it possible to effectively attenuate the vibration caused by the Karman vortex without damaging the scenery, and to easily perform the maintenance of the tower-like structure.
【００１２】[0012]
【発明の実施の形態】以下に、本発明の実施の形態にお
ける振動抑制構造を塔状構造物である煙突に適用した状
態として図面に基づいて説明する。BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a perspective view showing a state in which a vibration suppressing structure according to an embodiment of the present invention is applied to a chimney which is a tower-like structure.
【００１３】塔状構造物の振動抑制構造は、地面上に設
置され上方に立設する塔状構造物の外壁を多角形の筒状
に構成するとともに、多角形の各頂部を上下方向で結ぶ
各稜線を、それぞれ螺旋状に傾斜させたことで、塔状構
造物にフィンまたはリブなどの突起物を設けることな
く、風による振動すなわち塔状構造物に発生するカルマ
ン渦による起振力に位相差を持たせることができ、これ
により、カルマン渦に起因する振動を景観を損なうこと
なく効果的に減衰させることができるとともに、塔状構
造物のメンテナンスを容易に行うことができる。The vibration suppressing structure of the tower-like structure is constructed such that the outer wall of the tower-like structure which is installed on the ground and stands up is formed in a polygonal cylindrical shape, and connects the tops of the polygon in the vertical direction. Since each ridgeline is spirally inclined, there is no need to provide projections such as fins or ribs on the tower-like structure, and the vibration caused by wind, that is, the vibrating force caused by Karman vortices generated in the tower-like structure is reduced. The phase difference can be provided, whereby the vibration caused by the Karman vortex can be effectively attenuated without impairing the scenery, and the maintenance of the tower-like structure can be easily performed.
【００１４】すなわち図１および図２に示すように、本
発明の実施の形態における塔状構造物である煙突１は、
地面上に設置された基礎台２と、この基礎台２の上部に
立設した筒身本体３とから成る。That is, as shown in FIGS. 1 and 2, a chimney 1 which is a tower-like structure according to an embodiment of the present invention comprises:
It comprises a base 2 installed on the ground and a tubular body 3 standing upright on the base 2.
【００１５】筒身本体３は、上下方向の所定間隔置きに
配設した八角形の水平リング部材４と、上下の水平リン
グ部材４の頂部同士を連結する８本の縦桁部材５と、水
平方向で隣接する縦桁部材５間に設けた外壁部材６とを
有しており、各外壁部材６および水平リング部材４の内
周面には、上下方向に沿って円筒状の煙道を構成するた
めのライニング部材７が設けられている。The tubular body 3 includes an octagonal horizontal ring member 4 disposed at predetermined intervals in the vertical direction, eight vertical beam members 5 connecting tops of the upper and lower horizontal ring members 4, and a horizontal And an outer wall member 6 provided between the adjacent vertical girder members 5 in the direction, and a cylindrical flue is formed on the inner peripheral surface of each outer wall member 6 and the horizontal ring member 4 along the vertical direction. Lining member 7 is provided.
【００１６】図３および図４に示すように、各縦桁部材
５でそれぞれ連結した上下の水平リング部材４は、同一
水平面において、相似または同一の形状であり、上下の
水平リング部材４の隣り合う頂部同士（例えばＮ1と
Ｎ1'）の位相のずれδを、八角形の一辺に相当する角度
（４５度）に設定している。すなわち上記頂部同士は、
縦桁部材５により上記外壁部材６の継なぎ目である稜線
６ａに沿って結ばれている。したがって各縦桁部材５を
螺旋状に傾斜させるとともに、上記各外壁部材６を螺旋
状に傾斜させている。これに伴い外壁部材６は、水平断
面視で八角形に形成され、上記各稜線６ａは、それぞれ
螺旋状に傾斜させられることになる。As shown in FIGS. 3 and 4, the upper and lower horizontal ring members 4 connected by the respective vertical beam members 5 have similar or identical shapes on the same horizontal plane, and are adjacent to the upper and lower horizontal ring members 4. The phase shift δ between the matching apexes (eg, N 1 and N 1 ′) is set to an angle (45 degrees) corresponding to one side of the octagon. That is, the tops are
The vertical girder members 5 are connected along a ridge line 6 a which is a joint of the outer wall members 6. Accordingly, each of the longitudinal beam members 5 is spirally inclined, and each of the outer wall members 6 is spirally inclined. Accordingly, the outer wall member 6 is formed in an octagon in a horizontal sectional view, and each of the ridge lines 6a is spirally inclined.
【００１７】上記構成によると、水平方向の風が煙突１
に当たると、筒身本体３の風下側にカルマン渦が発生す
る。しかし、稜線６ａが螺旋状に傾斜しているので、カ
ルマン渦の発生点が高さ位置に応じて周方向でずらさ
れ、筒身本体３に発生するカルマン渦による起振力に、
位相のずれを持たせることができる。この起振力の位相
のずれにより、煙突１の振動を減衰させている。このよ
うに、本発明の塔状構造物の振動抑制構造によれば、塔
状構造物にフィンまたはリブなどの突起物を設けること
なく、筒身本体３に発生するカルマン渦による起振力に
位相のずれを持たせることができ、これにより、カルマ
ン渦に起因する振動を景観を損なうことなく効果的に減
衰させることができるとともに、塔状構造物のメンテナ
ンス例えば外壁部材６の目視点検、塗装などを容易に行
うことができる。According to the above configuration, the wind in the horizontal direction is
, A Karman vortex is generated on the lee side of the tubular body 3. However, since the ridgeline 6a is spirally inclined, the point of occurrence of the Karman vortex is shifted in the circumferential direction according to the height position, and the vibrating force generated by the Karman vortex generated in the tubular body 3 is
A phase shift can be provided. Due to the phase shift of the vibrating force, the vibration of the chimney 1 is attenuated. Thus, according to the vibration suppressing structure of the tower-like structure of the present invention, the vibrating force due to the Karman vortex generated in the tubular body 3 can be provided without providing the tower-like structure with protrusions such as fins or ribs. A phase shift can be provided, whereby vibrations caused by Karman vortices can be effectively attenuated without impairing the scenery, and maintenance of the tower-like structure, for example, visual inspection and painting of the outer wall member 6 can be performed. Can be easily performed.
【００１８】上記した実施の形態においては、縦桁部材
５で連結した上下の水平リング部材４の頂部同士の位相
のずれδを、それぞれ八角形の一辺に相当する角度（４
５度）としたが、任意の角度に設定してもよい。In the above-described embodiment, the phase shift δ between the tops of the upper and lower horizontal ring members 4 connected by the vertical girder members 5 is determined by the angle (4) corresponding to one side of the octagon.
5 °), but may be set to any angle.
【００１９】上記した実施の形態においては、塔状構造
物の振動抑制構造を、煙突に適用した場合を示したが、
煙突以外の建造物などに適用してもよい。上記した実施
の形態においては、多角形の水平リング部材として、八
角形の水平リング部材４を適用したが、この多角形の角
数は、外壁部材６および縦桁部材５の螺旋形状を損なわ
ない限り、任意の数を適用できる。In the above embodiment, the case where the vibration suppressing structure of the tower-like structure is applied to the chimney has been described.
It may be applied to buildings other than chimneys. In the above-described embodiment, the octagonal horizontal ring member 4 is applied as the polygonal horizontal ring member, but the number of corners of the polygon does not impair the spiral shape of the outer wall member 6 and the stringer member 5. Any number can be applied as long as it is possible.
【００２０】[0020]
【発明の効果】以上述べたように、本発明によれば、多
角形の水平リング部材の各頂部を上下方向で結ぶ各稜線
を、それぞれ螺旋状に傾斜させたことで、塔状構造物に
フィンまたはリブなどの突起物を設けることなく、風に
よる振動すなわち塔状構造物に発生するカルマン渦によ
る起振力に位相のずれを持たせることができ、これによ
り、カルマン渦に起因する振動を景観を損なうことなく
効果的に減衰させることができるとともに、塔状構造物
のメンテナンスを容易に行うことができる。As described above, according to the present invention, the ridges connecting the tops of the polygonal horizontal ring members in the vertical direction are spirally inclined, respectively, so that the tower-like structure can be formed. Without providing protrusions such as fins or ribs, it is possible to give a phase shift to the vibration caused by the wind, that is, the vibrating force generated by the Karman vortex generated in the tower-like structure, thereby reducing the vibration caused by the Karman vortex. It is possible to effectively attenuate the scene without damaging the scenery, and to easily perform maintenance of the tower-like structure.
【図１】本発明の実施の形態における振動抑制構造を塔
状構造物に適用した状態を示す一部切欠正面図である。FIG. 1 is a partially cutaway front view showing a state in which a vibration suppressing structure according to an embodiment of the present invention is applied to a tower-like structure.
【図２】図１における要部拡大正面図である。FIG. 2 is an enlarged front view of a main part in FIG.
【図３】図１におけるＡ−Ａ断面図である。FIG. 3 is a sectional view taken along line AA in FIG. 1;
【図４】図１におけるＢ−Ｂ断面図である。FIG. 4 is a sectional view taken along line BB in FIG. 1;
【図５】従来の振動抑制構造を塔状構造物に適用した状
態を示す要部正面図である。FIG. 5 is a main part front view showing a state where a conventional vibration suppressing structure is applied to a tower-like structure.
【図６】従来の振動抑制構造を塔状構造物に適用した状
態を示す要部正面図である。FIG. 6 is a front view of an essential part showing a state in which a conventional vibration suppressing structure is applied to a tower-like structure.
１ 煙突 ４ 水平リング部材 ５ 縦桁部材 ６ 外壁部材 ６ａ 稜線 δ 位相のずれ DESCRIPTION OF SYMBOLS 1 Chimney 4 Horizontal ring member 5 Vertical girder member 6 Outer wall member 6a Edge line δ Phase shift
Claims (3)
するとともに、多角形の各頂部を上下方向で結ぶ各稜線
を、それぞれ螺旋状に傾斜させたことを特徴とする塔状
構造物の振動抑制構造。1. An outer wall of a tower-like structure having a polygonal cylindrical shape, and ridges connecting tops of the polygon in a vertical direction are spirally inclined, respectively. Vibration suppression structure for structures.
平リング部材を配設し、上下の水平リング部材の頂部同
士を縦桁部材で連結するとともに、各縦桁部材を螺旋状
に傾斜させ、隣接する縦桁部材間に外壁部材を設けたこ
とを特徴とする塔状構造物の振動抑制構造。2. A polygonal horizontal ring member is disposed at predetermined intervals in the vertical direction, and the tops of the upper and lower horizontal ring members are connected to each other by a vertical girder member, and each vertical girder member is spirally inclined. A vibration suppressing structure for a tower-like structure, wherein an outer wall member is provided between adjacent stringers.
平リング部材を配設し、上下の水平リング部材の頂部同
士を縦桁部材で連結するとともに、隣接する縦桁部材間
に外壁部材を設け、上記上下の水平リング部材の頂部同
士は、それぞれ水平面内で位相のずれを有することを特
徴とする塔状構造物の振動抑制構造。3. A polygonal horizontal ring member is disposed at predetermined intervals in the vertical direction, and the tops of the upper and lower horizontal ring members are connected by a vertical girder member, and an outer wall member is provided between adjacent vertical girder members. Wherein the tops of the upper and lower horizontal ring members have a phase shift in a horizontal plane, respectively.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP10181285A JP2000008648A (en) | 1998-06-29 | 1998-06-29 | Vibration suppression structure for tower structures |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP10181285A JP2000008648A (en) | 1998-06-29 | 1998-06-29 | Vibration suppression structure for tower structures |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JP2000008648A true JP2000008648A (en) | 2000-01-11 |
Family
ID=16098026
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP10181285A Pending JP2000008648A (en) | 1998-06-29 | 1998-06-29 | Vibration suppression structure for tower structures |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JP2000008648A (en) |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2006106162A1 (en) * | 2005-04-05 | 2006-10-12 | Gamesa Innovation And Technology, S.L. | Tool for preventing the vortex effect |
| KR101273967B1 (en) * | 2012-08-06 | 2013-06-12 | 한국에너지기술연구원 | Wind power generation unit |
| KR101281443B1 (en) * | 2013-02-02 | 2013-07-02 | 홍석기 | Street light pole having built-up bottom pole |
| CN107130832A (en) * | 2017-06-28 | 2017-09-05 | 姚珍汉 | A kind of choke tower and its application method for eliminating typhoon harm |
| WO2018149527A1 (en) * | 2017-02-15 | 2018-08-23 | Siemens Wind Power A/S | Building structure with means to reduce induced vibrations |
| CN110657071A (en) * | 2019-11-19 | 2020-01-07 | 中国电建集团西北勘测设计研究院有限公司 | Prefabricated concrete fan tower drum, tower drum component and connecting method |
| CN115681380A (en) * | 2022-10-27 | 2023-02-03 | 天津大学 | V-shaped fin for tower vibration reduction |
-
1998
- 1998-06-29 JP JP10181285A patent/JP2000008648A/en active Pending
Cited By (15)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| ES2288066A1 (en) * | 2005-04-05 | 2007-12-16 | GAMESA INNOVATION & TECHNOLOGY, S.L. | Tool for preventing the vortex effect |
| ES2288066B1 (en) * | 2005-04-05 | 2008-10-16 | GAMESA INNOVATION & TECHNOLOGY, S.L. | USEFUL TO AVOID THE VORTEX EFFECT. |
| US7624544B2 (en) | 2005-04-05 | 2009-12-01 | Gamesa Innovation & Technology, S.L. | Tool for preventing the vortex effect |
| WO2006106162A1 (en) * | 2005-04-05 | 2006-10-12 | Gamesa Innovation And Technology, S.L. | Tool for preventing the vortex effect |
| KR101273967B1 (en) * | 2012-08-06 | 2013-06-12 | 한국에너지기술연구원 | Wind power generation unit |
| KR101281443B1 (en) * | 2013-02-02 | 2013-07-02 | 홍석기 | Street light pole having built-up bottom pole |
| EP3855017A1 (en) * | 2017-02-15 | 2021-07-28 | Siemens Gamesa Renewable Energy A/S | Building structure comprising a vortex generator to reduce induced vibrations |
| WO2018149527A1 (en) * | 2017-02-15 | 2018-08-23 | Siemens Wind Power A/S | Building structure with means to reduce induced vibrations |
| CN110392782A (en) * | 2017-02-15 | 2019-10-29 | 西门子歌美飒可再生能源公司 | Building structures with devices for reducing induced vibrations |
| CN110392782B (en) * | 2017-02-15 | 2022-04-26 | 西门子歌美飒可再生能源公司 | Building structure with means for reducing induced vibrations |
| EP3565967B1 (en) | 2017-02-15 | 2021-03-17 | Siemens Gamesa Renewable Energy A/S | Building structure comprising a vortex generator to reduce induced vibrations |
| CN107130832A (en) * | 2017-06-28 | 2017-09-05 | 姚珍汉 | A kind of choke tower and its application method for eliminating typhoon harm |
| CN110657071A (en) * | 2019-11-19 | 2020-01-07 | 中国电建集团西北勘测设计研究院有限公司 | Prefabricated concrete fan tower drum, tower drum component and connecting method |
| CN110657071B (en) * | 2019-11-19 | 2024-01-19 | 中国电建集团西北勘测设计研究院有限公司 | Precast concrete fan tower barrel, tower barrel component and connecting method |
| CN115681380A (en) * | 2022-10-27 | 2023-02-03 | 天津大学 | V-shaped fin for tower vibration reduction |
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