JP2008106574A - Vibration control structure - Google Patents

Vibration control structure Download PDF

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JP2008106574A
JP2008106574A JP2006292644A JP2006292644A JP2008106574A JP 2008106574 A JP2008106574 A JP 2008106574A JP 2006292644 A JP2006292644 A JP 2006292644A JP 2006292644 A JP2006292644 A JP 2006292644A JP 2008106574 A JP2008106574 A JP 2008106574A
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damper
beam structure
vibration
structural body
vertical
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Akira Nishimura
章 西村
Morihide Watanabe
守秀 渡辺
Ichiro Ishide
一郎 石出
Yasuhiko Kimura
康彦 木村
Tsutomu Nohira
勉 野平
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Takenaka Komuten Co Ltd
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Abstract

<P>PROBLEM TO BE SOLVED: To provide an economically excellent vibration control structure by which vertical vibrations applied to a beam structural body can be surely reduced and an internal space of a building can be effectively used in spite of the simple structure by devising the structure of the beam structural body. <P>SOLUTION: The vibration control structure is to reduce the vertical vibrations of the beam structural body 1 supported by fixed structures 2, 2 at both ends thereof. A damper member 3 absorbing the energy generated by vertical deformation of the beam structural body 1 is mounted on each connection part between the end of the beam structural body 1 and the fixed structure 2. <P>COPYRIGHT: (C)2008,JPO&INPIT

Description

この発明は、両端が建物や建物の柱、橋脚等の固定構造物で支持された梁構造体の鉛直振動を低減する制振構造の技術分野に属し、更に云えば、長大スパンの梁、或いは橋梁等の梁構造体の鉛直振動を低減するのに好適な制振構造に関する。   The present invention belongs to the technical field of a vibration control structure that reduces vertical vibration of a beam structure supported at both ends by a fixed structure such as a building, a pillar of a building, or a pier, and more specifically, a long span beam, or The present invention relates to a damping structure suitable for reducing vertical vibration of a beam structure such as a bridge.

両端が建物や建物の柱、橋脚等の固定構造物で支持された梁構造体について、特に、長大スパンの梁、橋梁等の梁構造体は、支点間距離が大きく、地震や風、或いは人の歩行によって鉛直振動が生じやすいので、梁構造体が上下に揺れて、人の歩行や建物の構造に支障をきたす虞があった。   For beam structures whose ends are supported by fixed structures such as buildings, building columns, and piers, especially long-span beams and bridge structures such as bridges have large fulcrum distances, resulting in earthquakes, winds, or people. Because vertical vibration is likely to occur due to walking, the beam structure may sway up and down, which may hinder human walking and building structure.

梁構造体の鉛直振動を低減するには、梁の曲げ剛性を向上させることが考えられるが、梁構造体の大型化、重量化を招き、不経済に過ぎる上に建物の内部空間を有効利用できないという問題があった。   To reduce the vertical vibration of the beam structure, it is conceivable to improve the bending rigidity of the beam. However, this increases the size and weight of the beam structure, which is uneconomical and effectively uses the internal space of the building. There was a problem that I could not.

従来、鉛直振動を生じ易い梁構造体の制振技術として、梁構造体のスパン中央に上下移動自在の錘(マス)を設置し、鉛直振動が生じた際には錘で梁構造体の鉛直振動に抵抗を与えることにより、変位量を減少して制振する所謂マスダンパーが実施されている。
しかし、このマスダンパーは、梁構造体の曲げ剛性を向上させて鉛直振動を防止する技術と比して、梁構造体を小型、軽量に構成できるものの、錘として梁質量の1%程度の質量が必要となり、その錘、つまり付加質量による梁の曲げモーメントが大きくなり、やはり、梁構造体の大型化、大重量化は避けられず、依然として上記問題を解消するに至っていない。
Conventionally, as a vibration control technology for a beam structure that is susceptible to vertical vibration, a vertically movable weight (mass) has been installed at the center of the span of the beam structure. A so-called mass damper that reduces vibration by reducing resistance by giving resistance to vibration has been implemented.
However, this mass damper can make the beam structure smaller and lighter than the technology that improves the bending rigidity of the beam structure to prevent vertical vibration, but the mass is about 1% of the mass of the beam as a weight. Therefore, the bending moment of the beam due to the weight, that is, the additional mass is increased, and the increase in size and weight of the beam structure cannot be avoided, and the above problem has not yet been solved.

そこで、鉛直振動を生じ易い梁構造体の制振技術として、梁に鉛直(上下)振動を低減するための力を伝達する伝達手段と、該伝達手段に前記力を出力する倍力手段と、該倍力手段に前記梁の振動変位を収束させるべき制振力を入力する制振力付与手段とを備えた制振装置が開示されている(特許文献1を参照)。
この特許文献1に係る制振技術によると、制振力付与手段によって倍力手段に入力される力は倍力手段により倍力され、伝達手段を介して梁に加えられるので、梁の鉛直振動を低減するためのパッシブ型制振装置を容易に構成できると共に、梁には伝達手段のみを接続すればよいので、従来のように梁の下方にバネや付加質量等の制振装置の構成要素を吊り下げる必要がなく、梁の下のスペースを有効に使用することができる等の効果を奏する。
Therefore, as a vibration control technique for a beam structure that easily generates vertical vibration, a transmission unit that transmits a force for reducing vertical (vertical) vibration to the beam, a boost unit that outputs the force to the transmission unit, There is disclosed a damping device provided with damping force applying means for inputting a damping force to converge the vibration displacement of the beam to the boosting means (see Patent Document 1).
According to the vibration damping technique according to Patent Document 1, the force input to the boosting unit by the damping force applying unit is boosted by the boosting unit and applied to the beam via the transmission unit. The passive vibration damping device can be easily configured to reduce the vibration, and only the transmission means needs to be connected to the beam. There is no need to suspend the beam, and the space under the beam can be used effectively.

特開平5−18136号公報Japanese Patent Laid-Open No. 5-18136

上記特許文献1に係る技術は、上記したように、一応の効果は認められるものの、同文献1の段落[0011]、及び図1〜図5から明らかなように、部材点数が多い上に機構が複雑で、コストが嵩み、故障し易いという問題があり、改良の余地が残されている。   As described above, the technique according to Patent Document 1 has a large number of members as well as a mechanism, as is apparent from Paragraph [0011] of FIG. 1 and FIGS. Are complicated, costly, and prone to failure, leaving room for improvement.

本発明の目的は、梁構造体の構造に工夫を施すことにより、シンプルな構造で確実に、梁構造体に作用する鉛直振動を低減(抑制)することができ、建物の内部空間を有効利用することができる、経済性に優れた制振構造を提供することである。   The purpose of the present invention is to devise the structure of the beam structure to reduce (suppress) the vertical vibration acting on the beam structure with a simple structure and to effectively use the internal space of the building. It is possible to provide a vibration control structure with excellent economic efficiency.

上記背景技術の課題を解決するための手段として、請求項1に記載した発明に係る制振構造は、両端が固定構造物で支持された梁構造体の鉛直振動を低減する制振構造であって、
前記梁構造体の端部と固定構造物との連結部分に、当該梁構造体に生じる鉛直方向の変形によるエネルギーを吸収するダンパー部材が設けられていることを特徴とする。
As means for solving the above-mentioned background art, the vibration damping structure according to the invention described in claim 1 is a vibration damping structure that reduces vertical vibration of a beam structure supported at both ends by a fixed structure. And
A damper member that absorbs energy due to vertical deformation generated in the beam structure is provided at a connection portion between the end of the beam structure and the fixed structure.

請求項2に記載した発明は、請求項1に記載した制振構造において、前記梁構造体はトラス構造で構成されており、前記トラス構造の両端部における下弦材又は上弦材に相当する部位にダンパー部材が設けられていることを特徴とする。   According to a second aspect of the present invention, in the vibration damping structure according to the first aspect, the beam structure is configured by a truss structure, and at portions corresponding to the lower chord material or the upper chord material at both ends of the truss structure. A damper member is provided.

請求項3に記載した発明は、請求項1又は2に記載した制振構造において、前記ダンパー部材は、オイルダンパー、鋼材ダンパー、粘弾性ダンパー、或いは大振幅用ダンパーに小振幅用ダンパーを直列状に結合して成る複合型ダンパーであることを特徴とする。   According to a third aspect of the present invention, in the vibration damping structure according to the first or second aspect, the damper member includes an oil damper, a steel material damper, a viscoelastic damper, or a large amplitude damper in series with a small amplitude damper. It is characterized by being a composite type damper that is coupled to.

請求項1〜請求項3に係る制振構造によれば、地震や風、或いは人の歩行によって梁構造体1に鉛直振動が作用すると、梁構造体1は、図4A、Bに示したように、上下に揺れ、その両端部の下弦材に相当する部位に設けたダンパー部材3、3がともに伸張・収縮を交互に繰り返して当該梁構造体1に生じる鉛直方向の変形によるエネルギーを吸収することができるので、その結果、前記梁構造体1に作用する鉛直振動を吸収し、低減(抑制)することができる。
よって、従来技術と比して、梁構造体1を大型化・大重量化する必要はないので、コスト削減に寄与することができる。よって、経済性に優れている。また、これに伴い、梁構造体1、ひいては柱梁架構全体をスリム化することができるので、経済性に非常に優れていると共に、建物の内部空間を有効利用することができる。
さらに、上記特許文献1に係る技術と比して、構造が非常にシンプルで故障する虞が少ない上に、ダンパーが老朽化した場合の取り替え作業も簡易に行うことができ、非常に合理的、且つ経済的である。
According to the damping structure according to claims 1 to 3, when vertical vibration is applied to the beam structure 1 due to an earthquake, wind, or human walking, the beam structure 1 is as shown in FIGS. 4A and 4B. In addition, the damper members 3 and 3 swaying up and down, and the damper members 3 and 3 provided at the portions corresponding to the lower chord members at both ends of the beam structure are alternately expanded and contracted to absorb energy due to the vertical deformation generated in the beam structure 1 As a result, the vertical vibration acting on the beam structure 1 can be absorbed and reduced (suppressed).
Therefore, it is not necessary to increase the size and weight of the beam structure 1 as compared with the prior art, which can contribute to cost reduction. Therefore, it is excellent in economic efficiency. Further, along with this, the beam structure 1, and thus the entire column beam frame can be slimmed, so that it is very economical and the internal space of the building can be used effectively.
Furthermore, compared to the technology according to Patent Document 1, the structure is very simple and there is little risk of failure, and the replacement work when the damper is aged can be easily performed. And economical.

図1は、請求項1に記載した発明に係る制振構造を模式的に簡略化して示している。この制振構造は、両端が固定構造物2、2で支持された梁構造体1の鉛直振動を低減する制振構造であって、前記梁構造体1の端部と固定構造物2との連結部分に、当該梁構造体1に生じる鉛直方向の変形によるエネルギーを吸収するダンパー部材3が設けられていることを特徴とする(請求項1記載の発明)。   FIG. 1 schematically shows a vibration damping structure according to the first aspect of the invention. This vibration damping structure is a vibration damping structure that reduces the vertical vibration of the beam structure 1 supported at both ends by the fixed structures 2 and 2, and the end of the beam structure 1 and the fixed structure 2 A damper member 3 for absorbing energy due to vertical deformation generated in the beam structure 1 is provided in the connecting portion (the invention according to claim 1).

前記梁構造体1は、その長手方向の両端部が固定構造物2、2間に剛結されてほぼ水平に架設されている。前記梁構造体1は、固定構造物2、2間に一段(又は二段以上)架設され、図示は省略するが、当該梁構造体1の上部に床スラブが敷設されている。なお、図示例に係る梁構造体1は、固定構造物(例えば柱、メガ柱等の柱部材)2、2間に架設した長大スパンの梁1を示しているが、これに限定されるものではなく、橋脚間に架設した長大スパンの橋梁でもほぼ同様に実施できる。   Both ends of the beam structure 1 in the longitudinal direction are rigidly connected between the fixed structures 2 and 2 and are laid substantially horizontally. The beam structure 1 is installed in one stage (or two or more stages) between the fixed structures 2 and 2, and although not shown, a floor slab is laid on the beam structure 1. In addition, although the beam structure 1 which concerns on the example of illustration shows the fixed structure (for example, pillar members, such as a pillar and a mega pillar) 2 and 2 and the long span beam 1 constructed between two, it is limited to this Rather, it can be implemented in a similar manner even for long span bridges built between bridge piers.

また、本実施例に係る梁構造体1は、トラス構造で構成されている。このトラス構造は、H形鋼等の鋼材4から成る上弦材及び下弦材をほぼ水平に設け、これらの間に斜材5(必要に応じてつか材)を組み込んで構成されており、前記トラス構造の両端部における下弦材(又は上弦材)に相当する部位にダンパー部材3が設けられている(請求項2記載の発明)。   Moreover, the beam structure 1 according to the present embodiment is configured with a truss structure. This truss structure is configured by providing an upper chord member and a lower chord member made of a steel material 4 such as H-shaped steel substantially horizontally, and an oblique member 5 (a holding member if necessary) interposed between them. The damper member 3 is provided in the site | part corresponded to the lower chord material (or upper chord material) in the both ends of the structure (invention of Claim 2).

前記ダンパー部材3は、図3に示したように、その一端部は、固定構造物2である柱部材2の側面部に設けたブラケット2aに、高力ボルトや溶接等の接合手段で強固に剛結され、他端部は、前記鋼材(下弦材)4の端部にやはり、高力ボルトや溶接等の接合手段で強固に剛結されている。また、ダンパー部材3が設けられていない側の上弦材(又は下弦材)は、固定構造物(柱部材)2に直接、高力ボルトや溶接等の接合手段で強固に剛結されている。   As shown in FIG. 3, one end of the damper member 3 is firmly attached to the bracket 2a provided on the side surface of the pillar member 2 which is the fixed structure 2 by a joining means such as a high-strength bolt or welding. The other end is also firmly rigidly connected to the end of the steel material (lower chord material) 4 by a joining means such as a high-strength bolt or welding. Further, the upper chord member (or lower chord member) on the side where the damper member 3 is not provided is firmly rigidly connected to the fixed structure (column member) 2 directly by a joining means such as a high strength bolt or welding.

なお、図示例に係るダンパー部材3と柱部材2との連結手段は、柱部材2に設けたブラケット2aを介して行っているが、該ブラケット2aを使用しないで直接、ダンパー部材3と柱部材2とを連結して実施することも勿論できる。また、図示例に係る梁構造体1は、図2に示したように、計4本のダンパー部材3を使用しているが、本数はこれに限定されず、梁構造体1の構造に応じて適宜増減可能である。さらに、本実施例では、前記梁構造体1としてトラス構造で実施しているがこれに限定されず、H形鋼材等で構成されるトラス構造でない梁構造体でもほぼ同様に実施できる。   In addition, although the connection means of the damper member 3 and the column member 2 which concerns on the example of illustration is performed via the bracket 2a provided in the column member 2, the damper member 3 and the column member are directly used without using this bracket 2a. Of course, it is possible to connect the two. In addition, as shown in FIG. 2, the beam structure 1 according to the illustrated example uses a total of four damper members 3, but the number is not limited to this, and depends on the structure of the beam structure 1. Can be increased or decreased as appropriate. Furthermore, in the present embodiment, the beam structure 1 is implemented with a truss structure, but the present invention is not limited to this, and the beam structure can be implemented in substantially the same manner even with a beam structure that is not a truss structure composed of an H-shaped steel material or the like.

本実施例に係るダンパー部材3は、オイルダンパーを使用しているが、オイルダンパーの他、鋼材ダンパー、粘弾性ダンパー、或いは大振幅用ダンパーに小振幅用ダンパーを直列状に結合して成る複合型ダンパーを、構造設計に応じて適宜選択して適用することが好ましい(請求項3記載の発明)。
ちなみに、前記複合型ダンパーは、一例として、本出願人が先に出願した特開平10−280727号公報に開示された複合型ダンパーが好適に使用される。具体的に、前記複合型ダンパーを構成する大振幅用ダンパーは、圧縮力によって座屈しない設計で、普通の鋼材に比して小さな応力で降伏する極軟鋼の如き弾塑性部材でH形鋼や円形鋼管を製作し、これに座屈防止用の補剛材を添わせたアンボンドブレース等が好適に採用される。前記小振幅用ダンパーには、弾塑性ダンパー、粘弾性ダンパーのほか、摩擦ダンパー、粘性体ダンパーその他のあらゆる種類、タイプのダンパーが適用される(前記公報の段落[0011]等、及び図5〜図10を参照)。
The damper member 3 according to the present embodiment uses an oil damper, but in addition to the oil damper, a composite formed by connecting a damper for a small amplitude to a steel damper, a viscoelastic damper, or a damper for a large amplitude in series. It is preferable to select and apply the mold damper according to the structural design (the invention according to claim 3).
Incidentally, as an example of the composite damper, a composite damper disclosed in Japanese Patent Application Laid-Open No. 10-280727 filed earlier by the present applicant is preferably used. Specifically, the large-amplitude damper that constitutes the composite damper is an elastic-plastic member such as an ultra-soft steel that is designed not to buckle by compressive force and yields with a smaller stress than ordinary steel. An unbonded brace or the like in which a circular steel pipe is manufactured and a stiffener for preventing buckling is added thereto is preferably used. In addition to the elastic-plastic damper and the viscoelastic damper, any other types and types of dampers such as a friction damper, a viscous damper, and the like are applied to the small amplitude damper (paragraph [0011] and the like in the above publication and FIGS. See FIG.

したがって、上記構成の制振構造によれば、地震や風、或いは人の歩行によって梁構造体1に鉛直振動が作用すると、梁構造体1は、図4A、Bに示したように、上下に揺れ、その両端部の下弦材に相当する部位に設けたダンパー部材3、3がともに伸張・収縮を交互に繰り返して当該梁構造体1に生じる鉛直方向の変形によるエネルギーを吸収することができるので、その結果、前記梁構造体1に作用する鉛直振動を吸収し、低減(抑制)することができるのである。よって、従来技術と比して、梁構造体1を大型化・大重量化する必要はないので、コスト削減に寄与することができる。よって、経済性に優れている。また、これに伴い、梁構造体1、ひいては柱梁架構全体をスリム化することができるので、経済性に非常に優れていると共に、建物の内部空間を有効利用することができる。   Therefore, according to the vibration damping structure having the above configuration, when vertical vibration is applied to the beam structure 1 due to an earthquake, a wind, or a person walking, the beam structure 1 moves up and down as shown in FIGS. 4A and 4B. Since the damper members 3 and 3 provided at the portions corresponding to the lower chord material at both ends of the swinging can alternately absorb the energy caused by the vertical deformation generated in the beam structure 1 by alternately repeating the expansion and contraction. As a result, the vertical vibration acting on the beam structure 1 can be absorbed and reduced (suppressed). Therefore, it is not necessary to increase the size and weight of the beam structure 1 as compared with the prior art, which can contribute to cost reduction. Therefore, it is excellent in economic efficiency. Further, along with this, the beam structure 1, and thus the entire column beam frame can be slimmed, so that it is very economical and the internal space of the building can be used effectively.

なお、図示は省略するが、前記梁構造体1について、本実施例では、トラス構造の両端部における下弦材に相当する部位にダンパー部材3を設けて実施しているが、これに限定されず、トラス構造の構成部材の取り付け位置を、上下方向に反転するなど設計変更することにより、トラス構造の両端部における上弦材に相当する部位にダンパー部材3を設けて実施することもでき、ほぼ同様の作用効果を奏することもできる(請求項2記載の発明)。   In addition, although illustration is abbreviate | omitted, although the damper member 3 is provided and implemented about the said beam structure 1 in the site | part corresponded to the lower chord material in the both ends of a truss structure in this Example, it is not limited to this. By changing the design of the mounting positions of the structural members of the truss structure by reversing it up and down, the damper members 3 can be provided at the portions corresponding to the upper chord material at both ends of the truss structure. It is also possible to achieve the following effects (the invention according to claim 2).

以上に実施形態を図面に基づいて説明したが、本発明は、図示例の実施形態の限りではなく、その技術的思想を逸脱しない範囲において、当業者が通常に行う設計変更、応用のバリエーションの範囲を含むことを念のために言及する。   The embodiments have been described with reference to the drawings. However, the present invention is not limited to the illustrated embodiments, and design modifications and application variations that are usually made by those skilled in the art are within the scope of the technical idea of the invention. Note that it includes the range.

たとえば、本実施例では、固定構造物2、2をほぼ同様の大きさ・形状で実施しているが故に、梁構造体1の両端部にダンパー部材3を設けて実施しているが(請求項2記載の発明)、いずれか一方の固定構造物(柱部材、橋脚、或いは建物)2を遙かに大きくして実施する等、梁構造体1の変形が異なる場合には、変形の大きい固定構造物2側の端部のみにダンパー部材3を設けるのみで実施できる場合がある(請求項1記載の発明)。   For example, in the present embodiment, since the fixed structures 2 and 2 are implemented with substantially the same size and shape, the damper members 3 are provided at both ends of the beam structure 1 (claimed). (Invention of Item 2), when one of the fixed structures (column members, piers, or buildings) 2 is greatly enlarged, and the deformation of the beam structure 1 is different, the deformation is large. In some cases, the damper member 3 may be provided only at the end on the fixed structure 2 side (the invention according to claim 1).

本発明に係る制振構造を模式的に簡略化して示した立面図である。It is the elevation which simplified and showed the damping structure concerning the present invention typically. 図1のX−X線断矢視断面図である。FIG. 2 is a sectional view taken along line XX in FIG. 1. ダンパー部材の連結構造を具体的に示した正面図である。It is the front view which showed concretely the connection structure of a damper member. A、Bはそれぞれ、梁構造体に鉛直振動が作用した場合の梁構造体の挙動を示した立面図である。A and B are elevation views showing the behavior of the beam structure when vertical vibration is applied to the beam structure.

符号の説明Explanation of symbols

1 梁構造体(梁、或いは橋梁)
2 固定構造物(柱部材、橋脚、或いは建物)
2a ブラケット
3 ダンパー部材
4 H形鋼等の鋼材
5 斜材
1 Beam structure (beam or bridge)
2 Fixed structures (column members, piers, or buildings)
2a Bracket 3 Damper member 4 Steel material such as H-shaped steel 5 Diagonal material

Claims (3)

両端が固定構造物で支持された梁構造体の鉛直振動を低減する制振構造であって、
前記梁構造体の端部と固定構造物との連結部分に、当該梁構造体に生じる鉛直方向の変形によるエネルギーを吸収するダンパー部材が設けられていることを特徴とする、制振構造。
A damping structure that reduces vertical vibration of a beam structure supported at both ends by a fixed structure,
A damper structure for absorbing energy due to vertical deformation generated in the beam structure is provided at a connection portion between the end of the beam structure and a fixed structure.
前記梁構造体はトラス構造で構成されており、前記トラス構造の両端部における下弦材又は上弦材に相当する部位にダンパー部材が設けられていることを特徴とする、請求項1に記載した制振構造。   The said beam structure is comprised by the truss structure, and the damper member is provided in the site | part corresponded to the lower chord material or the upper chord material in the both ends of the said truss structure, The control structure of Claim 1 characterized by the above-mentioned. Shaking structure. 前記ダンパー部材は、オイルダンパー、鋼材ダンパー、粘弾性ダンパー、或いは大振幅用ダンパーに小振幅用ダンパーを直列状に結合して成る複合型ダンパーであることを特徴とする、請求項1又は2に記載した制振構造。   3. The damper according to claim 1, wherein the damper member is an oil damper, a steel damper, a viscoelastic damper, or a composite damper in which a small amplitude damper is connected in series to a large amplitude damper. The damping structure described.
JP2006292644A 2006-10-27 2006-10-27 Vibration control structure Pending JP2008106574A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPWO2017130415A1 (en) * 2016-01-29 2018-09-27 パイオニア株式会社 Body sound analysis apparatus, body sound analysis method, computer program, and recording medium

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH03235856A (en) * 1990-02-14 1991-10-21 Shimizu Corp Earthquake-isolating steel structural beam
JP2000129955A (en) * 1998-10-23 2000-05-09 Minnesota Mining & Mfg Co <3M> Damper

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH03235856A (en) * 1990-02-14 1991-10-21 Shimizu Corp Earthquake-isolating steel structural beam
JP2000129955A (en) * 1998-10-23 2000-05-09 Minnesota Mining & Mfg Co <3M> Damper

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPWO2017130415A1 (en) * 2016-01-29 2018-09-27 パイオニア株式会社 Body sound analysis apparatus, body sound analysis method, computer program, and recording medium

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