JPH04323473A - Vibration damping device for buildings - Google Patents

Vibration damping device for buildings

Info

Publication number
JPH04323473A
JPH04323473A JP776291A JP776291A JPH04323473A JP H04323473 A JPH04323473 A JP H04323473A JP 776291 A JP776291 A JP 776291A JP 776291 A JP776291 A JP 776291A JP H04323473 A JPH04323473 A JP H04323473A
Authority
JP
Japan
Prior art keywords
mass body
building
vibration damping
damping device
vibration
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
JP776291A
Other languages
Japanese (ja)
Other versions
JP3041648B2 (en
Inventor
Makoto Uenishi
真 上西
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.)
Shinmaywa Industries Ltd
Original Assignee
Shin Meiva Industry 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 Shin Meiva Industry Ltd filed Critical Shin Meiva Industry Ltd
Priority to JP3007762A priority Critical patent/JP3041648B2/en
Publication of JPH04323473A publication Critical patent/JPH04323473A/en
Application granted granted Critical
Publication of JP3041648B2 publication Critical patent/JP3041648B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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  • Buildings Adapted To Withstand Abnormal External Influences (AREA)
  • Vibration Prevention Devices (AREA)

Abstract

(57)【要約】本公報は電子出願前の出願データであるた
め要約のデータは記録されません。
(57) [Summary] This bulletin contains application data before electronic filing, so abstract data is not recorded.

Description

【発明の詳細な説明】[Detailed description of the invention]

【0001】0001

【産業上の利用分野】本発明は建造物の制振構造に関す
る。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to vibration damping structures for buildings.

【0002】0002

【従来の技術】建造物は、その内部に機械その他の振動
源があると建造物全体が振動する。例えば、図6に示す
ように、駐車塔aの場合、内部に設けられている機械式
駐車装置が運転されると、これが振動源となって駐車塔
aがその固有の振動モードで振動し、その結果、駐車塔
aの外壁がスピーカの振動板と同様の働きをして周辺の
家屋b,cに低周波音ないしは低周波振動を与えること
がある。
2. Description of the Related Art When a building has a machine or other vibration source inside, the entire building vibrates. For example, as shown in FIG. 6, in the case of parking tower a, when the mechanical parking device installed inside is operated, this becomes a vibration source and parking tower a vibrates in its own vibration mode. As a result, the outer wall of parking tower a may function similarly to the diaphragm of a speaker, imparting low-frequency sound or low-frequency vibration to surrounding houses b and c.

【0003】これに対して、上記駐車塔の制振のために
、その内部の機械式駐車装置に制振装置を付設するとい
う提案はある。例えば、実開昭59−48962号公報
には駐車装置の支持台を駐車塔に吊り下げ支持するとい
う提案が開示され、実開昭62−71435号公報や実
開昭63−201237号公報には、駐車装置の台座に
制振手段を取り付けるという提案が開示されている。
[0003] On the other hand, in order to dampen the vibrations of the parking tower, there has been a proposal to attach a vibration damping device to the mechanical parking device inside the tower. For example, Japanese Utility Model Application Publication No. 59-48962 discloses a proposal to suspend and support the support base of a parking device from a parking tower, and Japanese Utility Model Application Publications No. 62-71435 and Japanese Utility Model Application Publication No. 63-201237 disclose , has disclosed a proposal for attaching vibration damping means to the base of a parking device.

【0004】また、特開昭62−17441号公報には
、振動体に重りを振子によって吊り下げ、重りと振動体
との間にダンパーを介設した振子式制振装置が記載され
ている。
[0004] Furthermore, Japanese Patent Application Laid-open No. 17441/1983 describes a pendulum type vibration damping device in which a weight is suspended from a vibrating body by a pendulum, and a damper is interposed between the weight and the vibrating body.

【0005】[0005]

【発明が解決しようとする課題】上述の機械式駐車装置
の振動が駐車塔に伝わることを低減せしめる提案の場合
、それなりの効果はあるものの、駐車塔自体の振動を抑
制するものではなく、また、駐車装置の支持構造が複雑
になり、充分な制振効果を得ようとすればコスト高にな
る憾みがある。
[Problem to be Solved by the Invention] In the case of the above-mentioned proposal for reducing the transmission of vibrations of the mechanical parking device to the parking tower, although it has some effect, it does not suppress the vibration of the parking tower itself. However, the support structure of the parking device becomes complicated, and if a sufficient vibration damping effect is to be obtained, the cost increases.

【0006】一方、上記振子式制振装置の場合、振子先
端の重りとダンパーとの動的作用力により制振効果が得
られるものであるが、ダンパーの設置により構造が複雑
になるとともに、大きな制振効果を得ることが難しい。
On the other hand, in the case of the above-mentioned pendulum-type vibration damping device, the damping effect is obtained by the dynamic force between the weight at the tip of the pendulum and the damper, but the installation of the damper complicates the structure and requires a large It is difficult to obtain a damping effect.

【0007】すなわち、本発明の課題は、駐車塔のよう
な建造物自体の振動を簡単な構造で効果的に且つ低コス
トで抑制できるようにすることにある。
That is, an object of the present invention is to make it possible to suppress vibrations of a building itself such as a parking tower effectively and at low cost with a simple structure.

【0008】[0008]

【課題を解決するための手段】本発明は、このような課
題に対して、駐車塔等の建造物に質量体を吊下げるとと
もに、建造物に上記質量体が摺動する摺動部材を設けて
、建造物の振動を抑えるものである。
[Means for Solving the Problems] The present invention addresses these problems by suspending a mass body from a building such as a parking tower, and by providing a sliding member on which the mass body slides on the building. This is to suppress vibrations in buildings.

【0009】すなわち、そのための手段は、建造物の路
面に対し振動する部位に吊下部材によって揺動自在に吊
下げられた質量体と、上記建造物に固定して設けられ上
記質量体が当接し揺動の際に摺動する摺動面を備えた摺
動部材とを備えていることを特徴とする建造物の制振装
置である。
That is, the means for this purpose includes a mass body that is swingably suspended by a hanging member from a part of the building that vibrates with respect to the road surface, and a mass body that is fixedly provided to the building and that the mass body corresponds to. A vibration damping device for a building, comprising: a sliding member having a sliding surface that slides during contact and rocking.

【0010】上記制振装置において、質量体を、建造物
の振動部位に吊下部材によって揺動自在に吊下げられた
容器と、この容器に収容された流動体とにより構成する
ことは、上記課題を解決するさらに有効な手段となる。 この場合、流動体としては、液体、あるいは半流動性の
もの例えばコロイドゾルのようなものを、又は砂等の粒
子の集合体を用いることができる。
[0010] In the above-mentioned vibration damping device, the mass body is constituted by a container which is swingably suspended from a vibration part of a building by a hanging member, and a fluid contained in this container. It becomes a more effective means of solving problems. In this case, the fluid may be a liquid or a semi-fluid material, such as a colloidal sol, or an aggregate of particles such as sand.

【0011】[0011]

【作用】上記制振装置においては、建造物の振動部位の
固有振動数と当部位に作用する外力の振動数とが一致す
るとき、共鳴を起こして当部位は大きな振幅で振動する
が、この振動部位に振動体、すなわち質量体が別に設け
られているから、全体が2自由度の系になって、つまり
共振点が2つになって上記外力の振動数からずれ、上記
部位の振幅が小さくなる。この場合、質量体の固有振動
数を上記外力の振動数に一致せしめれば、その振動数で
の上記部位の振幅が理論的には零になる。
[Operation] In the above vibration damping device, when the natural frequency of the vibrating part of the building matches the frequency of the external force acting on that part, resonance occurs and the part vibrates with a large amplitude. Since a vibrating body, that is, a mass body is separately provided at the vibrating part, the whole becomes a system with two degrees of freedom, that is, there are two resonance points, which deviate from the frequency of the external force, and the amplitude of the part mentioned above becomes becomes smaller. In this case, if the natural frequency of the mass body is made to match the frequency of the external force, the amplitude of the above portion at that frequency will theoretically become zero.

【0012】しかして、上記建造物の振動部位と質量体
とが静止した状態から、振動部位が振動し始めるとき、
この振動部位が変位しても質量体は慣性によって元位置
に残ろうとするが、その際に質量体が摺動部材の摺動面
を摺動することにより、この質量体と摺動部材との間に
摩擦力が発生する。この摩擦力の作用方向は上記振動部
位の変位方向とは逆向きであるから、結果的に振動部位
の振動が上記摩擦力によって抑えられることになる。
[0012] When the vibrating part of the building and the mass body start to vibrate from a stationary state,
Even if this vibrating part is displaced, the mass body tries to remain in its original position due to inertia, but at that time, the mass body slides on the sliding surface of the sliding member, and the mass body and the sliding member Frictional force is generated between them. Since the direction of action of this frictional force is opposite to the direction of displacement of the vibrating portion, the vibration of the vibrating portion is suppressed by the frictional force.

【0013】すなわち、建造物の振動は、上記質量体に
よる動的吸振効果と、質量体と摺動部材との間の摩擦力
によって効果的に抑えられることになる。
That is, the vibration of the building is effectively suppressed by the dynamic vibration absorption effect of the mass body and the frictional force between the mass body and the sliding member.

【0014】また、上記質量体を容器と流動体とにより
構成したものでは、建造物の振動に伴って容器が振れ動
くとき、流動体が慣性で元位置に残ろうとするため、結
果的には質量体の揺れが抑えられて、建造物に与える復
元力が大きくなる。
[0014] Furthermore, in the case where the mass body is composed of a container and a fluid, when the container shakes due to vibrations of the building, the fluid tends to remain in its original position due to inertia, resulting in The shaking of the mass body is suppressed, and the restoring force given to the building is increased.

【0015】[0015]

【発明の効果】従って、本発明によれば、建造物の振動
部位に質量体を吊下部材によって揺動自在に吊下げると
ともに、建造物に上記質量体が摺動する摺動部材を設け
たから、上記質量体による動的吸振効果と、質量体と摺
動部材との間の摩擦力とによって建造物の振動を抑える
ことができ、特別なダンパー装置を設けることなく、簡
単な構造で建造物の制振効果を高めることができる。
[Effects of the Invention] Therefore, according to the present invention, a mass body is swingably suspended from a vibrating part of a building by a hanging member, and a sliding member on which the mass body slides is provided on the building. , the vibration of the building can be suppressed by the dynamic vibration absorption effect of the mass body and the frictional force between the mass body and the sliding member, and the building can be built with a simple structure without the need for a special damper device. The vibration damping effect can be enhanced.

【0016】また、上記質量体を容器と流動体で構成し
たものでは、質量体自体が2自由度を有することになる
ため、建造物の制振効果がより一層高くなる。
[0016] Furthermore, when the mass body is composed of a container and a fluid, the mass body itself has two degrees of freedom, so that the vibration damping effect of the building is further enhanced.

【0017】[0017]

【実施例】以下、本発明の実施例を図面に基づいて説明
する。
Embodiments Hereinafter, embodiments of the present invention will be explained based on the drawings.

【0018】本例は建造物が駐車塔(立体駐車場)であ
る場合であり、図1に全体構成が示されている。
[0018] In this example, the building is a parking tower (multi-level parking lot), and the overall configuration is shown in FIG.

【0019】同図において、1は上下のスプロケット2
,3に懸回したチェーン4により、車両Wを収容載置す
る多数のケージ5を循環移動可能に支持した駐車装置、
6はこの駐車装置1を収容した鉄骨構造の駐車塔である
。この駐車塔6は、その骨組み、つまり鉄骨部材として
、柱7、上下に間隔をおいて配設された梁8、及び斜材
9を備えている。そして、図2にも示す如く、上記梁8
にタテ胴縁11を介して外壁板12が支持されている(
図1ではタテ胴縁の図示を省略している)。
In the figure, 1 indicates upper and lower sprockets 2.
, a parking device in which a large number of cages 5 for storing and mounting vehicles W are supported in a circularly movable manner by chains 4 suspended from , 3;
Reference numeral 6 indicates a parking tower having a steel frame structure and housing this parking device 1. The parking tower 6 includes pillars 7, beams 8 vertically arranged at intervals, and diagonal members 9 as its frame, that is, as steel members. As shown in FIG. 2, the beam 8
The outer wall board 12 is supported via the vertical rim 11 (
In Fig. 1, illustration of the vertical torso is omitted).

【0020】なお、図1において、10はチェーン4に
ケージ5を支持するブラケットである。
In FIG. 1, reference numeral 10 denotes a bracket that supports the cage 5 on the chain 4.

【0021】しかして、上記駐車塔6には、その制振の
ために制振装置15,16が設けられている。すなわち
、制振装置15は、図3にも示すように、梁8に吊下部
材21によって揺動自在に吊り下げられた質量体22と
、柱7に固定して設けられ上記質量体22が当接し揺動
の際に摺動する摺動面を備えた摺動部材23とにより構
成されている。制振装置16は、柱7あるいは梁8に上
記制振装置15のものと同様の質量体22を吊下部材2
1によって吊り下げて構成されている。
The parking tower 6 is provided with vibration damping devices 15 and 16 for damping the vibration. That is, as shown in FIG. 3, the vibration damping device 15 includes a mass body 22 that is swingably suspended from the beam 8 by a hanging member 21, and a mass body 22 that is fixed to the column 7. The sliding member 23 includes a sliding surface that comes into contact with the sliding member 23 and slides during rocking. The vibration damping device 16 includes a mass body 22 similar to that of the vibration damping device 15 mounted on the pillar 7 or the beam 8 by a hanging member 2.
It is suspended by 1.

【0022】本例の場合、上記吊下部材21は上端を柱
7あるいは梁8に枢支したロッド部材により構成され、
質量体22は球状体である。摺動部材23は垂直な摺動
面を有する板によって構成されている。そして、制振装
置15においては、上記吊下部材21は、垂直には設け
られておらず、上記質量体22の荷重が摺動部材23の
摺動面に常時作用した状態になるように傾斜せしめて設
けられている。
In the case of this example, the hanging member 21 is constituted by a rod member whose upper end is pivoted to the pillar 7 or the beam 8,
The mass body 22 is a spherical body. The sliding member 23 is constituted by a plate having a vertical sliding surface. In the vibration damping device 15, the hanging member 21 is not provided vertically, but is tilted so that the load of the mass body 22 is constantly applied to the sliding surface of the sliding member 23. At least it is provided.

【0023】従って、上記制振装置15の場合、駐車塔
6が摺動部材23の摺動面と平行な方向に振動し始める
とき、駐車塔6の振動に対して質量体22は慣性によっ
て元位置に残ろうとし、動的吸振作用によって駐車塔6
の揺れを抑える。同時に、質量体22と駐車塔6との間
に相対的な変位を生ずるため、質量体22は摺動部材2
3の摺動面を摺動し、この両者間に摩擦力が作用する。 この摩擦力は、上記駐車塔6の振動による変位方向とは
逆向きに作用するから、駐車塔6の揺れを抑える力とし
て働く。また、上記制振装置16も駐車塔6の振動を動
的吸振作用によって抑えることになる。
Therefore, in the case of the vibration damping device 15, when the parking tower 6 starts to vibrate in a direction parallel to the sliding surface of the sliding member 23, the mass body 22 is caused to return to its original position due to inertia against the vibration of the parking tower 6. parking tower 6 due to dynamic vibration absorption
suppresses the shaking. At the same time, since a relative displacement occurs between the mass body 22 and the parking tower 6, the mass body 22
3, and a frictional force acts between them. Since this frictional force acts in the opposite direction to the direction of displacement due to vibration of the parking tower 6, it acts as a force that suppresses the shaking of the parking tower 6. Further, the vibration damping device 16 also suppresses the vibration of the parking tower 6 by dynamic vibration absorption.

【0024】図4及び図5には他の実施例に係る制振装
置25が示されている。
FIGS. 4 and 5 show a vibration damping device 25 according to another embodiment.

【0025】この制振装置25においては、質量体26
が容器27とこの容器27に収容した流動体28とによ
り構成されている。そして、質量体26は、梁8に梁長
手方向に間隔をおいて固定した一対のブラケット29,
29の下端に吊下部材30を介して梁長手方向に揺動自
在に吊り下げられているとともに、質量体26の上端部
が上記ブラケット29に固定した摺動部材31,31に
当接している。
In this vibration damping device 25, the mass body 26
is composed of a container 27 and a fluid 28 contained in this container 27. The mass body 26 includes a pair of brackets 29 fixed to the beam 8 at intervals in the longitudinal direction of the beam.
The mass body 26 is suspended from the lower end of the mass body 29 via a suspension member 30 so as to be swingable in the longitudinal direction of the beam, and the upper end of the mass body 26 is in contact with sliding members 31, 31 fixed to the bracket 29. .

【0026】具体的に説明すると、まず、上記流動体2
8はコロイドゾルである。ブラケット29は逆U字状を
なし、その相対する垂直壁の下端の各々にロッド状吊下
部材30,30の上端がピンにより枢着され、吊下部材
30,30の下端が容器27の下端部にピンにより枢着
されている。この場合、吊下部材30の上端枢着点は質
量体26の重心高さに略一致する高さにあり、質量体2
6は上部が上記上端枢着点よりも上方へ突出している。 そして、上記U字状ブラケット29の相対する垂直壁の
各々に板状の摺動部材31,31の外面が固定され、こ
の両摺動部材31,31の対向する内面が質量体26の
容器27の上端部外面を摺動せしめる摺動面に形成され
ている。
To explain specifically, first, the fluid 2
8 is a colloid sol. The bracket 29 has an inverted U shape, and the upper ends of rod-shaped hanging members 30, 30 are pivotally connected to the lower ends of the opposing vertical walls by pins, and the lower ends of the hanging members 30, 30 are connected to the lower ends of the container 27. It is pivotally attached to the part by a pin. In this case, the upper end pivot point of the hanging member 30 is at a height that substantially matches the height of the center of gravity of the mass body 26, and
6 has an upper portion protruding above the upper end pivot point. The outer surfaces of plate-shaped sliding members 31, 31 are fixed to each of the opposing vertical walls of the U-shaped bracket 29, and the opposing inner surfaces of both sliding members 31, 31 are fixed to the container 27 of the mass body 26. It is formed on a sliding surface on which the outer surface of the upper end portion slides.

【0027】従って、上記制振装置25の場合、吊下部
材30の上端枢着点が質量体26の重心高さ近傍にある
から、駐車塔6の比較的高い振動数での振動を抑えるの
に適する。そして、質量体26が容器27と流動体28
とにより構成されているから、容器27が振れ動くとき
、流動体28が慣性で元位置に残ろうとするため、質量
体26の揺れが抑えられることになり、摺動部材31に
よる摩擦力と相俟って、駐車塔6の制振効果が高くなる
Therefore, in the case of the vibration damping device 25, since the upper end pivot point of the hanging member 30 is located near the height of the center of gravity of the mass body 26, it is possible to suppress vibrations of the parking tower 6 at a relatively high frequency. suitable for Then, the mass body 26 connects the container 27 and the fluid 28.
Therefore, when the container 27 swings, the fluid 28 tries to remain in its original position due to inertia, so the swing of the mass body 26 is suppressed, and the frictional force caused by the sliding member 31 is As a result, the vibration damping effect of the parking tower 6 becomes higher.

【0028】なお、上記実施例の吊下部材はロッド状の
ものであるが、吊下部材としては、ワイヤロープのよう
な紐状のものや板状のものを用いることもできる。
Although the hanging member in the above embodiment is rod-shaped, it is also possible to use a string-like member such as a wire rope or a plate-like member.

【0029】また、上記実施例では流動体としてコロイ
ドゾルを用いたが、他の流動性物質を用いてもよく、あ
るいは水等の液体を用いてもよく、さらに砂等の粒子の
集合体を用いてもよい。
In addition, although colloidal sol was used as the fluid in the above embodiments, other fluid substances may be used, or liquids such as water may be used, and aggregates of particles such as sand may also be used. It's okay.

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

図1乃至図5は本発明の実施例を示す。 1 to 5 show embodiments of the invention.

【図1】外壁の一部を外して示す建造物の正面図[Figure 1] Front view of the building with part of the outer wall removed

【図2
】建造物を一部省略して示す横断面図
[Figure 2
] Cross-sectional view with some parts of the building omitted

【図3】制振装置
を示す一部断面にした正面図
[Figure 3] Front view with a partial cross section showing the vibration damping device

【図4】制振装置の他の実
施例を示す側面図
[Fig. 4] Side view showing another embodiment of the vibration damping device

【図5】上記他の実施例の制振装置を
示す縱断面図
[Fig. 5] A vertical sectional view showing the vibration damping device of the above other embodiment.

【図6】駐車塔の振動による周囲の家屋へ
の影響を示す側面図
[Figure 6] Side view showing the impact of parking tower vibration on surrounding houses

【符号の説明】[Explanation of symbols]

1    駐車装置 6    駐車塔(建造物) 7    柱 8    梁 15,25    制振装置 21,30    吊下部材 22,26    質量体 23,31    摺動部材 27    容器 28    流動体 1 Parking device 6 Parking tower (structure) 7 Pillar 8 Beam 15, 25 Vibration damping device 21, 30 Hanging member 22, 26 mass body 23, 31 Sliding member 27 Container 28 Fluid

Claims (2)

【特許請求の範囲】[Claims] 【請求項1】建造物の路面に対し振動する部位に吊下部
材によって揺動自在に吊下げられた質量体と、上記建造
物に固定して設けられ上記質量体が当接し揺動の際に摺
動する摺動面を備えた摺動部材とを備えていることを特
徴とする建造物の制振装置。
Claim 1: A mass body that is swingably suspended from a part of a building that vibrates with respect to the road surface by a hanging member, and a mass body that is fixedly provided to the building and that comes into contact with the building when it swings. A vibration damping device for a building, comprising: a sliding member having a sliding surface that slides on the vibration damping device.
【請求項2】質量体は建造物の振動部位に吊下部材によ
って揺動自在に吊下げられた容器と、この容器に収容さ
れた流動体とからなる請求項1に記載の建造物の制振装
置。
2. The control system for a building according to claim 1, wherein the mass body comprises a container swingably suspended from a vibration part of the building by a hanging member, and a fluid contained in the container. Shaking device.
JP3007762A 1991-01-25 1991-01-25 Building vibration control device Expired - Fee Related JP3041648B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP3007762A JP3041648B2 (en) 1991-01-25 1991-01-25 Building vibration control device

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP3007762A JP3041648B2 (en) 1991-01-25 1991-01-25 Building vibration control device

Publications (2)

Publication Number Publication Date
JPH04323473A true JPH04323473A (en) 1992-11-12
JP3041648B2 JP3041648B2 (en) 2000-05-15

Family

ID=11674702

Family Applications (1)

Application Number Title Priority Date Filing Date
JP3007762A Expired - Fee Related JP3041648B2 (en) 1991-01-25 1991-01-25 Building vibration control device

Country Status (1)

Country Link
JP (1) JP3041648B2 (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH07102813A (en) * 1993-09-30 1995-04-18 Shin Meiwa Ind Co Ltd Vibration control structure for mechanical parking equipment
JPH07331918A (en) * 1994-06-14 1995-12-19 Shin Meiwa Ind Co Ltd Vibration control structure for mechanical parking equipment
CN116025076A (en) * 2022-12-29 2023-04-28 北京九州一轨环境科技股份有限公司 A Distributed FM Mass Damping System Applicable to Vehicle Base Cover

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH07102813A (en) * 1993-09-30 1995-04-18 Shin Meiwa Ind Co Ltd Vibration control structure for mechanical parking equipment
JPH07331918A (en) * 1994-06-14 1995-12-19 Shin Meiwa Ind Co Ltd Vibration control structure for mechanical parking equipment
CN116025076A (en) * 2022-12-29 2023-04-28 北京九州一轨环境科技股份有限公司 A Distributed FM Mass Damping System Applicable to Vehicle Base Cover

Also Published As

Publication number Publication date
JP3041648B2 (en) 2000-05-15

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