JP2662067B2 - Multi-degree-of-freedom dynamic vibration absorber - Google Patents
Multi-degree-of-freedom dynamic vibration absorberInfo
- Publication number
- JP2662067B2 JP2662067B2 JP2006894A JP689490A JP2662067B2 JP 2662067 B2 JP2662067 B2 JP 2662067B2 JP 2006894 A JP2006894 A JP 2006894A JP 689490 A JP689490 A JP 689490A JP 2662067 B2 JP2662067 B2 JP 2662067B2
- Authority
- JP
- Japan
- Prior art keywords
- dynamic vibration
- vibration absorber
- degree
- freedom
- weights
- 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 - Fee Related
Links
Landscapes
- Buildings Adapted To Withstand Abnormal External Influences (AREA)
- Vibration Prevention Devices (AREA)
Description
【発明の詳細な説明】 〔産業上の利用分野〕 本発明は地震、風などの外力により生ずる構造物の応
答を低減するための動吸振器に関するものである。Description: TECHNICAL FIELD The present invention relates to a dynamic vibration absorber for reducing the response of a structure caused by an external force such as an earthquake or wind.
従来、機械の分野で主として機械振動の対策に用いら
れていた動吸振器が、風や地震などによる建物の振動を
抑制する目的で建築の分野にも適用され、吸振器系を構
成する付加質量としての重り、バネおよびダンパーから
なる基本的な動吸振器の他、スロッシングダンパー（特
開昭62-101764号公報参照）、振り子式動吸振器（特開
昭63-254247号公報参照）など種々の形式の動吸振器が
開発されている。Conventionally, dynamic vibration absorbers, which were mainly used in the field of machinery to countermeasures against mechanical vibration, have also been applied to the field of construction to suppress the vibration of buildings due to wind and earthquakes. In addition to the basic dynamic vibration absorber consisting of a weight, a spring and a damper as well as a sloshing damper (see JP-A-62-101764) and a pendulum-type dynamic vibration absorber (see JP-A-63-254247) The following types of dynamic vibration absorbers have been developed.
ところで、従来の構造物用の動吸振器は１自由度の動
吸振器であり、第２図（ｂ）のモデル図に表現されるよ
うに、建物の頂部に１質点のバネーマスを設けて、建物
の応答の１次振動数成分を低減させるものである。これ
は第３図（ａ），（ｂ）に示す伝達関数の比較におい
て、第３図（ｂ）の左のピーク（１次振動数）がかなり
小さくなっていることに対応する。By the way, the conventional dynamic vibration absorber for structures is a one-degree-of-freedom dynamic vibration absorber, and as shown in the model diagram of FIG. 2 (b), a spring mass of one mass point is provided at the top of the building, It is to reduce the primary frequency component of the response of the building. This corresponds to the fact that in the comparison of the transfer functions shown in FIGS. 3A and 3B, the left peak (primary frequency) in FIG. 3B is considerably smaller.
しかし、図から明らかなように右のピーク（２次振動
数）については低減効果はみられない。However, as is clear from the figure, no reduction effect is seen for the right peak (secondary frequency).
本発明では自由度が１の単一動吸振器に対し、自由度
が２以上の多自由度の動吸振器を構成し、構造物の１次
および２次、あるいは数次の固有振動数に対応する複数
の振動モードを有する動吸振器とすることにより、地震
などの外乱に対する建物の応答をより低減し、効率のよ
い制震を行うことを目的としたものである。In the present invention, for a single dynamic vibration absorber having one degree of freedom, a multi-degree-of-freedom dynamic vibration absorber having two or more degrees of freedom is configured to correspond to the first and second or several-order natural frequencies of a structure. By using a dynamic vibration absorber having a plurality of vibration modes, the response of the building to disturbances such as an earthquake is further reduced, and an efficient vibration control is performed.
本発明の多自由度動吸振器は、構造物に設置した複数
個の重りと、各重りを構造物に対し直列に接続する複数
のばねとからなり、構造物の１次〜数次の固有振動数に
応じて各ばねを調整したものである。The multi-degree-of-freedom dynamic vibration absorber according to the present invention comprises a plurality of weights installed on a structure, and a plurality of springs connecting each weight in series to the structure. Each spring is adjusted according to the frequency.
この場合、１つの多自由度動吸振器が、対象とする固
有振動数の次数に応じた複数の振動モードを有すること
になる。In this case, one multi-degree-of-freedom dynamic vibration absorber has a plurality of vibration modes according to the order of the target natural frequency.
構造物の振動特性にもよるが、最も簡単な構造として
は２自由度とし、２個の重りを２つのばねで構造物に対
し直列に接続した構造となる。このときのばねの調整
は、多自由度動吸振器の１次の振動モードにおける振動
数が構造物の１次固有振動数の近傍になるようにし、２
次の振動モードにおける振動数が構造物の２次固有振動
数の近傍になるようにするものである。Although it depends on the vibration characteristics of the structure, the simplest structure has two degrees of freedom, and two weights are connected in series to the structure by two springs. At this time, the spring is adjusted such that the frequency of the multi-degree-of-freedom dynamic vibration absorber in the primary vibration mode is close to the primary natural frequency of the structure.
The frequency in the next vibration mode is set to be close to the secondary natural frequency of the structure.
重りおよびばねの材質、形状、大きさなどは特に限定
されず、多自由度とする以外、従来の動吸振器と同様に
考えることができ、設置スペースや、制震効率、経済性
などを考慮して設計すればよい。The material, shape, size, etc. of the weight and spring are not particularly limited, and can be considered in the same manner as a conventional dynamic vibration absorber, except for having multiple degrees of freedom, taking into account the installation space, vibration damping efficiency, economy, etc. Design.
第２図（ａ）は構造物を２質点(M01),(M02)と２つの
ばね(K01,h01),(K02,h02)として表現した解析モデル
（基本モデル）である。これに対し、第２図（ｂ）が従
来の１自由度の動吸振器の解析モデルであり、上述した
第２図（ａ）の２質点系の構造物のモデルに対し、重り
としての１つの付加質量(m21)と重りと構造物を結ぶば
ね(k21,h21)を設けたものである。また、第２図（ｃ）
が本発明の多自由度動吸振器の解析モデルであり、重り
としての２つの付加質量(m11),(m12)と、これら２つの
重りと構造物を直列に結ぶ２つのばね(k11,h11),(k12,h
12)を設けたものである。FIG. 2 (a) is an analysis model (basic model) expressing the structure as two mass points (M 01 ), (M 02 ) and two springs (K 01 , h 01 ), (K 02 , h 02 ). is there. On the other hand, FIG. 2 (b) shows an analysis model of a conventional one-degree-of-freedom dynamic vibration absorber. In contrast to the model of the two-mass system structure shown in FIG. Two additional masses (m 21 ) and springs (k 21 , h 21 ) connecting the weight and the structure are provided. FIG. 2 (c)
Is an analytical model of the multi-degree-of-freedom dynamic vibration absorber of the present invention, and includes two additional masses (m 11 ) and (m 12 ) as weights and two springs (k) connecting these two weights and a structure in series. 11 , h 11 ), (k 12 , h
12 ) is provided.
上述の解析モデルにおいて、構造物の２質点の重量を
M01＝M02＝392t、ばね剛性K01＝20t/cm、K02＝30t/cm、
減衰率h01＝h02＝１％、１自由度の動吸振器の重りの重
量m21＝7.84t、ばね剛性k21＝0.20t/cm、減衰率h21＝10
％、多自由度動吸振器の第１および第２の重りの重量m
11＝m12＝3.92t、ばね剛性k11＝0.20t/cm、k12＝0.30t/
cm、減衰率h11＝h12＝10％として計算した場合の解析結
果を第３図（ａ）〜（ｃ）および第４図〜第７図に示
す。なお、この場合の第２図（ａ）の基本モデルにおけ
る１次の固有周期T1は1.26秒、２次の固有周期T2は0.51
秒である。In the above analytical model, the weight of the two mass points of the structure
M 01 = M 02 = 392t, spring stiffness K 01 = 20t / cm, K 02 = 30t / cm,
Damping rate h 01 = h 02 = 1%, weight of the dynamic vibration absorber having one degree of freedom m 21 = 7.84 t, spring stiffness k 21 = 0.20 t / cm, damping rate h 21 = 10
%, Weight of the first and second weights of the multi-degree-of-freedom dynamic vibration absorber m
11 = m 12 = 3.92t, spring stiffness k 11 = 0.20t / cm, k 12 = 0.30t /
cm, showing analysis results when calculated as the attenuation factor h 11 = h 12 = 10% in FIG. 3 (a) ~ (c) and FIG. 4 to 7 FIG. Incidentally, the natural period T 1 is 1.26 sec, the second-order natural period T 2 of the first-order in the basic model of FIG. 2 (a) in this case 0.51
Seconds.
第３図（ａ）〜（ｃ）はそれぞれ第２図（ａ）〜
（ｃ）の解析モデルに対応する地動に対する質点１の周
波数伝達関数を示したもので、第３図（ｂ）に示すよう
に１自由度の動吸振器では１次の固有振動数に対応する
加速度応答倍率のピークが減少しているのに対し、第３
図（ｃ）に示すように多自由度（２自由度）動吸振器で
は１次および２次の固有振動数に対応する加速度応答倍
率のピークが減少している。3 (a) to 3 (c) are FIGS. 2 (a) to 2 (c), respectively.
FIG. 3C shows a frequency transfer function of the mass point 1 corresponding to the ground motion corresponding to the analysis model of FIG. 3C. As shown in FIG. 3B, the one-degree-of-freedom dynamic vibration absorber corresponds to the first-order natural frequency. While the peak of the acceleration response magnification has decreased,
As shown in FIG. 9C, in the multi-degree-of-freedom (two-degree-of-freedom) dynamic vibration absorber, the peak of the acceleration response magnification corresponding to the primary and secondary natural frequencies decreases.
第４図および第５図はそれぞれ第２図（ａ）および第
２図（ｃ）の解析モデルについて、地震波としてエルセ
ントロNS成分100Galを入力した場合の構造物の質点１の
相対変位と絶対加速度を応答時刻歴として示したもので
ある。図中、実線が本発明の多自由度（２自由度）動吸
振器を設置した場合、点線が構造物のみの場合である。
第６図および第７図は同様に構造物の質点２の相対変位
と絶対加速度を応答時刻歴として示したものである。FIGS. 4 and 5 show the relative displacement and absolute acceleration of the mass point 1 of the structure when the El Centro NS component 100 Gal is input as the seismic wave for the analytical models of FIGS. 2 (a) and 2 (c), respectively. This is shown as response time history. In the drawing, the solid line indicates the case where the multi-degree-of-freedom (two-degree-of-freedom) dynamic vibration absorber of the present invention is installed, and the dotted line indicates the case where only the structure is used.
6 and 7 similarly show the relative displacement and absolute acceleration of the mass point 2 of the structure as response time history.
また、第８図〜第11図は第２図（ｂ）および第２図
（ｃ）の解析モデルについて、第４図〜第７図と同様の
応答時刻歴を示したものである。図中、点線が１自由度
の動吸振器を設置した場合、実線は本発明の多自由度
（２自由度）動吸振器を設置した場合である。8 to 11 show response time histories similar to those of FIGS. 4 to 7 for the analysis models of FIGS. 2 (b) and 2 (c). In the figure, the dotted line indicates the case where the dynamic vibration absorber having one degree of freedom is installed, and the solid line indicates the case where the multi-degree-of-freedom (two degrees of freedom) dynamic vibration absorber of the present invention is installed.
これらの図より本発明の多自由度動吸振器を用いた場
合、質点１、２いずれにおいても相対変位および絶対加
速度の低減効果が大きく、１自由度の動吸振器で低減で
きない質点１の絶対速度や、質点２の相対変位、絶対加
速度にも大きな低減効果があることが分かる。From these figures, when the multi-degree-of-freedom dynamic vibration absorber of the present invention is used, the effect of reducing the relative displacement and the absolute acceleration is large at both the mass points 1 and 2, and the absolute value of the mass point 1 which cannot be reduced by the one-degree-of-freedom dynamic vibration absorber It can be seen that the velocity, the relative displacement of the mass point 2 and the absolute acceleration also have a great effect of reducing.
第１図は２自由度動吸振器の具体的な構造の一例を示
したもので、重り2,4については鋼製またはコンクリー
ト製の直方体を用い、ばね3,5として円筒形の高減衰ゴ
ムを用いている。この場合、ばね値の調整は例えばゴム
の個数を変えるなどして行うことができる。Fig. 1 shows an example of the specific structure of a two-degree-of-freedom dynamic vibration absorber. For the weights 2 and 4, a steel or concrete rectangular parallelepiped is used. Is used. In this case, the spring value can be adjusted by, for example, changing the number of rubbers.
本発明の多自由度動吸振器では複数の重りおよびばね
を対象とする構造物の各振動モード（固有振動数）に応
じて調整することにより、１次の固有振動数だけでな
く、２次以降の固有振動数についても動吸振器が地震エ
ネルギーを吸収し、構造物の応答を効率よく低減させる
ことができる。In the multi-degree-of-freedom dynamic vibration absorber of the present invention, not only the primary natural frequency but also the secondary natural frequency is adjusted by adjusting the plurality of weights and springs in accordance with each vibration mode (natural frequency) of the structure. With respect to the subsequent natural frequencies, the dynamic vibration absorber absorbs the seismic energy, and the response of the structure can be efficiently reduced.
また、単一の動吸振器で構造物の複数の固有振動数に
対処できるため、同時に複数の固有振動数に対する制震
を行おうとする場合において、動吸振器の設置位置や設
置数を少なくすることができる。In addition, since a single dynamic vibration absorber can deal with multiple natural frequencies of a structure, when attempting to control vibrations at multiple natural frequencies at the same time, reduce the installation position and number of dynamic vibration absorbers be able to.
第１図は本発明の多自由度動吸振器の一実施例を示す概
念図、第２図（ａ）〜（ｃ）はそれぞれ構造物、１自由
度の動吸振器を設けた構造物、本発明の多自由度動吸振
器を設けた構造物の解析モデル図、第３図（ａ）〜
（ｃ）はそれぞれ第２図（ａ）〜（ｃ）の解析モデルに
対する質点１の周波数伝達関数のグラフ、第４図〜第７
図は基本モデルと本発明の多自由度動吸振器の比較例を
示したもので、第４図および第５図はそれぞれ解析にお
ける質点１の相対変位と絶対加速度を応答時刻歴とした
グラフ、第６図および第７図はそれぞれ解析における質
点２の相対変位と絶対加速度を応答時刻歴としたグラ
フ、第８図〜第11図は同様に従来の１自由度の動吸振器
と本発明の多自由度動吸振器の比較例を示したもので、
第８図および第９図はそれぞれ解析における質点１の相
対変位と絶対加速度を応答時刻歴としたグラフ、第10図
および第11図はそれぞれ解析における質点２の相対変位
と絶対加速度を応答時刻歴としたグラフである。 １……構造物、2,4……重り、3,5……ばねFIG. 1 is a conceptual diagram showing an embodiment of a multi-degree-of-freedom dynamic vibration absorber of the present invention, and FIGS. 2 (a) to (c) are structures, respectively, a structure provided with a one-degree-of-freedom dynamic vibration absorber. Analytical model diagram of a structure provided with the multi-degree-of-freedom dynamic vibration absorber of the present invention, FIG.
(C) is a graph of the frequency transfer function of the mass point 1 with respect to the analysis models of FIGS. 2 (a) to (c), respectively, and FIGS.
The figure shows a comparative example of the basic model and the multi-degree-of-freedom dynamic vibration absorber of the present invention. FIGS. 4 and 5 are graphs each showing the relative displacement and absolute acceleration of the mass point 1 in the analysis as response time history, FIGS. 6 and 7 are graphs showing the relative displacement and absolute acceleration of the mass point 2 in the analysis in response time history, respectively. FIGS. This shows a comparative example of a multi-degree-of-freedom dynamic vibration absorber.
8 and 9 are graphs showing the relative displacement and absolute acceleration of mass point 1 in the analysis in response time history, respectively. FIGS. 10 and 11 are the relative displacement and absolute acceleration of mass point 2 in the analysis in response time history, respectively. It is a graph with. 1 ... structure, 2,4 ... weight, 3,5 ... spring
───────────────────────────────────────────────────── フロントページの続き (56)参考文献 特開 昭62−233537（ＪＰ，Ａ) 実開 昭50−96325（ＪＰ，Ｕ) 実開 昭60−24968（ＪＰ，Ｕ) ──────────────────────────────────────────────────続 き Continuation of the front page (56) References JP-A-62-233537 (JP, A) JP-A 50-96325 (JP, U) JP-A 60-24968 (JP, U)
Claims (3)
数個の重りを前記構造物に対し直列に接続する複数のば
ねとからなり、構造物の１次から数次の固有振動数に応
じて前記各ばねを調整することで、単一の動吸振器にそ
れぞれ構造物の１次〜数次の固有振動数と同調する振動
数の複数の振動モードを持たせたことを特徴とする多自
由度動吸振器。1. A structure comprising a plurality of weights installed on a structure, and a plurality of springs for connecting the plurality of weights in series to the structure, wherein the first to several natural frequencies of the structure are provided. By adjusting each of the springs according to the following, a single dynamic vibration absorber is provided with a plurality of vibration modes of a frequency synchronized with the first to several natural frequencies of the structure. Multi-degree-of-freedom dynamic vibration absorber.
の重りを前記構造物に対し直列に接続するばねとからな
り、構造物の１次固有振動数および２次固有振動数に応
じて前記各ばねを調整することで、単一の動吸振器にそ
れぞれ構造物の１次固有振動数および２次固有振動数と
同調する振動数の２つの振動モードを持たせたことを特
徴とする多自由度動吸振器。2. A structure comprising two weights installed on a structure, and a spring connecting the two weights in series to the structure, wherein a primary natural frequency and a secondary natural frequency of the structure are provided. By adjusting each of the springs according to the above, the single dynamic vibration absorber is provided with two vibration modes, each of which is tuned to the primary natural frequency and the secondary natural frequency of the structure. Features a multi-degree-of-freedom dynamic vibration absorber.
らなる請求項１または２記載の多自由度動吸振器。3. The multi-degree-of-freedom dynamic vibration absorber according to claim 1, wherein the spring is made of a plurality of cylindrical high damping rubbers.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2006894A JP2662067B2 (en) | 1990-01-16 | 1990-01-16 | Multi-degree-of-freedom dynamic vibration absorber |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2006894A JP2662067B2 (en) | 1990-01-16 | 1990-01-16 | Multi-degree-of-freedom dynamic vibration absorber |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH03213742A JPH03213742A (en) | 1991-09-19 |
| JP2662067B2 true JP2662067B2 (en) | 1997-10-08 |
Family
ID=11650934
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP2006894A Expired - Fee Related JP2662067B2 (en) | 1990-01-16 | 1990-01-16 | Multi-degree-of-freedom dynamic vibration absorber |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JP2662067B2 (en) |
Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH05222863A (en) * | 1992-02-14 | 1993-08-31 | Kajima Corp | Vibration control device for structures |
| JP4070213B2 (en) * | 2004-06-07 | 2008-04-02 | 学校法人金沢工業大学 | Vibration control device and long structure |
| WO2016104632A1 (en) * | 2014-12-24 | 2016-06-30 | ピー・エス・シー株式会社 | Vibrator unit |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5930006Y2 (en) * | 1974-12-29 | 1984-08-28 | 川崎重工業株式会社 | Vibration damping devices in bridges |
-
1990
- 1990-01-16 JP JP2006894A patent/JP2662067B2/en not_active Expired - Fee Related
Also Published As
| Publication number | Publication date |
|---|---|
| JPH03213742A (en) | 1991-09-19 |
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