JPH037816B2 - - Google Patents
Info
- Publication number
- JPH037816B2 JPH037816B2 JP57159454A JP15945482A JPH037816B2 JP H037816 B2 JPH037816 B2 JP H037816B2 JP 57159454 A JP57159454 A JP 57159454A JP 15945482 A JP15945482 A JP 15945482A JP H037816 B2 JPH037816 B2 JP H037816B2
- Authority
- JP
- Japan
- Prior art keywords
- vibration
- frequency
- support
- heavy
- support handle
- 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 - Lifetime
Links
- 239000006096 absorbing agent Substances 0.000 description 12
- 238000010586 diagram Methods 0.000 description 5
- 230000000737 periodic effect Effects 0.000 description 2
- 238000010521 absorption reaction Methods 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 239000003638 chemical reducing agent Substances 0.000 description 1
- 230000003247 decreasing effect Effects 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 230000003068 static effect Effects 0.000 description 1
Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F7/00—Vibration-dampers; Shock-absorbers
- F16F7/10—Vibration-dampers; Shock-absorbers using inertia effect
- F16F7/1005—Vibration-dampers; Shock-absorbers using inertia effect characterised by active control of the mass
Landscapes
- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Vibration Prevention Devices (AREA)
Description
本発明は、構造物の振動を減少せしめるために
用いる動吸振器に関する。
船舶に例をとると、船体はその機関の運転によ
つて振動し、船舶内は極めて騒しいので、これを
解消するため従来から種々の動吸振器が船体に取
り付け使用されている。動吸振器によつて船体の
振動が解消されるのは次のような動吸振の原理に
基づく。
すなわち、第1図に示すような振動系(被振動
体の質量=m1、ばね定数=k1)に周期的外力
θsinωtが作用するとき、もしこの振動系の固有振
動数p1=√1 1がωに近いと共振する。とこ
ろが、このとき第2図のような振動系(被振動体
の質量=m2、ばね定数=k2)を付加してω=P2
=√2 2となるようにすると、下記の数式で
証明するように、付加した振動系は振動するが、
もとの振動系の振動を止めることができる。
両振動系の運動方程式は、
m1d2x1/dt2=k1k1+k2(x2−x1)+θsinωt …(1)
m2d2x2/dt2=−k2(x2−x1) …(2)
解をx1=A1Sinωt、x2=A2Sinωtと仮定してこ
の(1)、(2)式に代入して整理すると、
(−m1ω2+k1+k2)A1−K2A2=0 …(3)
−k2A1+(−m2ω2+K2)A2=0 …(4)
この式からA1およびA2をωの関数として求め
ると第3図及び第4図に示す通りとなる。ここで
振幅はθによるK1の静的たわみに対する振幅倍
率で表わしてある。
この図から明らかな通り、ある特定のωに対し
てA1=0となる。すなわち、(4)式からもわかる
ようにω0=√2 2に対してA1=0となる。こ
のとき(3)式からA2=−θ/k2が得られる。従つ
て、外力振動数と等しい固有振動数を持つ振動系
を付加すればもとの振動系は振動しなくなる。
しかしながら、上記原理によつて振動を止める
ことができる範囲は第3図に示すように特定のω
に限られ、しかもこのωの両側には共振点が有
り、そこではもとの振動系を振幅が無限大で共振
させるおそれがある。従つて、動吸振器を船体の
振動を止めるために使用する場合は動吸振器の固
有振動数の制限が船舶の機関の振動数の変化に対
して正確に追随できなければならない。
ところが、従来の動吸振器は船舶の機関の振動
数の変化に対する追随性が悪いので、実際には満
足できるものはなかつた。本発明はかかる従来の
ものの欠点を解消するためになされたものであ
り、その固有振動数を船舶の機関の振動数の変化
に正確に追随させ、被振動体である船舶すなわち
構造物の振動を確実に停止させるようにした動吸
振器を提供することを目的とする。
本発明は、強制振動が与えられる被振動体に固
定された支持具と、該支持具にヒンジを介して片
持状態に取り付けられ長柄状の剛体からなる支持
柄と、該支持柄と前記被振動体との間に介装され
てこの支持柄を振動可能に保持するコイルバネ
と、前記支持柄にネジ機構を介して移動可能に取
り付けられ支点からの距離を変えてこの支持柄振
動系の固有振動数P2を変化させる重鍾と、該重
鍾を前記ネジ機構を介して移動させるモータと、
前記被振動体の振動数ωを検出する加速度計と、
該加速度計の検出振動数ωに基づいて前記モータ
により重鍾を移動して前記支持柄の固有振動数
P2を検出振動数ωに自動的に制御する制御手段
とから成る動吸振器を要旨とするものである。
以下、本発明の一実施例を第5図によつて説明
する。
1は被振動体である船体であり、船体1は航行
中に機関2によつて強制振動を与えられている。
3は片持状態で船体1に取り付けられた長柄状の
支持柄であり、支持柄3はその一端を支持具4に
ヒンジ41を介して所定位置に回転可能に取り付
けられ、支持柄3と船体1との間には支持柄3が
振動可能にバネ5が挿着されている。6は支持柄
3に移動可能に取り付けられ、ヒンジ41の支点
からの距離の変化に伴つてその固有振動数P2を
増減しうる重鍾である。7は重鍾6を移動させる
ためのモータであり、モータ7はネジ機構61を
介して重鍾6と連結されている。8は機関2の振
動数を検出するための加速度計であり、加速度計
8の出力側はモータ7を制御するための制御装置
9とつながつている。
次に本発明の作用について、第6図を併用して
説明する。まず、振動源である機関2又はその近
傍に取り付けた加速度計8で機関2から発生する
振動の振動数ωを検出する。制御装置9は加速度
計8で検出された振動数に基づいてP2=ωにな
るようにモータ7を回転させて重鍾6を移動させ
る。なお、動吸振器の固有振動数P2は以下の式
で与えられる。動吸振器の支持柄3を角度θだけ
回転したとき、重鍾の変化=lmθ、バネの伸び=
lkθこのときの反力=−Klkθとなり運動方程式
Mlm2θ¨=−Klk2θが成り立つ
今、y=lmθとすれば
My¨=−K・(lk/lm2・lmθ=−K・(lk/lm)2・y
故に
有効バネ定数はK・(lk/lm)2であり、これをKeと
すれば固有振動数
The present invention relates to a dynamic vibration absorber used to reduce vibrations of a structure. Taking a ship as an example, the ship's hull vibrates due to the operation of its engine, making the inside of the ship extremely noisy. To eliminate this, various dynamic vibration absorbers have been conventionally attached to the ship's hull and used. The reason why ship hull vibrations are eliminated by a dynamic vibration absorber is based on the following principle of dynamic vibration absorption. That is, when a periodic external force θsinωt acts on a vibration system as shown in Figure 1 (mass of the vibrated body = m 1 , spring constant = k 1 ), if the natural frequency of this vibration system p 1 = √ 1 When 1 is close to ω, it resonates. However, at this time, by adding a vibration system as shown in Figure 2 (mass of the vibrated body = m 2 , spring constant = k 2 ), ω = P 2
= √ 2 2 , the added vibration system will vibrate, as shown by the formula below, but
It is possible to stop the vibration of the original vibration system. The equations of motion of both vibrating systems are: m 1 d 2 x 1 /dt 2 =k 1 k 1 +k 2 (x 2 −x 1 ) + θsinωt …(1) m 2 d 2 x 2 /dt 2 =−k 2 ( x 2 −x 1 ) …(2) Assuming that x 1 = A 1 Sinωt, x 2 = A 2 Sinωt, and substituting the solution into equations (1) and (2), we get (−m 1 ω 2 +k 1 +k 2 )A 1 −K 2 A 2 =0 …(3) −k 2 A 1 +(−m 2 ω 2 +K 2 )A 2 =0 …(4) From this equation, A 1 and A 2 When calculated as a function of ω, the result is as shown in FIGS. 3 and 4. Here, the amplitude is expressed as an amplitude multiplier for the static deflection of K 1 due to θ. As is clear from this figure, A 1 =0 for a certain ω. That is, as can be seen from equation (4), A 1 =0 for ω 0 =√ 2 2 . At this time, A 2 =-θ/k 2 is obtained from equation (3). Therefore, if a vibration system with a natural frequency equal to the external force frequency is added, the original vibration system will no longer vibrate. However, the range in which vibration can be stopped using the above principle is limited to a certain ω as shown in Figure 3.
Moreover, there are resonance points on both sides of this ω, where there is a risk that the original vibration system will resonate with an infinite amplitude. Therefore, when a dynamic vibration absorber is used to stop vibrations of a ship's hull, the limit of the natural frequency of the dynamic vibration absorber must be able to accurately follow changes in the frequency of the ship's engine. However, since conventional dynamic vibration absorbers have poor ability to follow changes in the frequency of the ship's engine, none of them has been satisfactory in practice. The present invention has been made in order to eliminate the drawbacks of the conventional system, and it is possible to make the natural frequency accurately follow the change in the frequency of the ship's engine, thereby suppressing the vibration of the ship, which is the body to be vibrated, that is, the structure. It is an object of the present invention to provide a dynamic vibration reducer that can be stopped reliably. The present invention provides a support fixed to a vibrated body to which forced vibration is applied, a support handle made of a long rigid body attached in a cantilever manner to the support via a hinge, and a support handle and the support handle fixed to a vibrated body. A coil spring is interposed between the vibrating body and holds the support handle so that it can vibrate; a heavy plow that changes the frequency P2; a motor that moves the heavy plow via the screw mechanism;
an accelerometer that detects the frequency ω of the vibrated body;
Based on the frequency ω detected by the accelerometer, the motor moves the heavy peg to determine the natural frequency of the support handle.
The gist of the present invention is a dynamic vibration absorber comprising a control means for automatically controlling P2 to a detected frequency ω. An embodiment of the present invention will be described below with reference to FIG. Reference numeral 1 denotes a ship body which is a body to be vibrated, and the ship body 1 is subjected to forced vibration by an engine 2 while sailing.
Reference numeral 3 denotes a long support handle attached to the hull 1 in a cantilevered state. A spring 5 is inserted between the support handle 3 and the support handle 3 so that the support handle 3 can vibrate. Reference numeral 6 denotes a heavy peg which is movably attached to the support handle 3 and whose natural frequency P 2 can be increased or decreased as the distance from the fulcrum of the hinge 41 changes. 7 is a motor for moving the heavy plow 6, and the motor 7 is connected to the heavy plow 6 via a screw mechanism 61. 8 is an accelerometer for detecting the vibration frequency of the engine 2, and the output side of the accelerometer 8 is connected to a control device 9 for controlling the motor 7. Next, the operation of the present invention will be explained with reference to FIG. 6. First, the frequency ω of vibrations generated from the engine 2 is detected using an accelerometer 8 attached to or near the engine 2, which is the vibration source. The control device 9 rotates the motor 7 based on the vibration frequency detected by the accelerometer 8 so that P 2 =ω, and moves the heavy plow 6. Note that the natural frequency P 2 of the dynamic vibration absorber is given by the following formula. When the support handle 3 of the dynamic vibration absorber is rotated by an angle θ, the change in the weight = lmθ, the extension of the spring =
lkθ At this time, the reaction force = −Klkθ, and the equation of motion is
Mlm 2 θ¨=-Klk 2 θ holds Now, if y=lmθ, My¨=-K・(lk/lm 2・lmθ=−K・(lk/lm) 2・y
Therefore, the effective spring constant is K・(lk/lm) 2 , and if this is Ke, the natural frequency is
【式】で与えら
れる。
以上説明したように、本発明は制御装置により
重鍾の位置を自動的に制御してP2=ωならしめ
るようにしたので、動吸振器の固有振動数P2の
コントロールが容易となり、動吸振器の固固有振
動数P2を周期的外力の振動数ωに正確に一致さ
せることができ、その結果、被振動体である構造
物の振動を確実に停止させることができる効果が
ある。It is given by [Formula]. As explained above, in the present invention, the control device automatically controls the position of the heavy plow so that P 2 = ω, so the natural frequency P 2 of the dynamic vibration absorber can be easily controlled, and the dynamic The natural frequency P 2 of the vibration absorber can be made to accurately match the frequency ω of the periodic external force, and as a result, the vibration of the structure that is the vibrated body can be reliably stopped.
第1図は1自由度振動系の説明図、第2図は2
自由度振動系の説明図、第3図は2自由度振動系
の被振動系の振幅と振動数との関係図、第4図は
2自由度振動系の付加振動系の振幅と振動数との
関係図、第5図は本発明動吸振器の取り付け説明
図、第6図は支点から重鍾までの長さと固有振動
数との関係の説明図である。
1……被振動体、2……振動源、3……支持
柄、4……支持具、5……バネ、6……重鍾、7
……モータ、8……加速度計、9……制御装置。
Figure 1 is an explanatory diagram of a 1-degree-of-freedom vibration system, and Figure 2 is an explanatory diagram of a 1-degree-of-freedom vibration system.
An explanatory diagram of a vibration system with degrees of freedom. Figure 3 shows the relationship between the amplitude and frequency of the vibrated system in a vibration system with two degrees of freedom. Figure 4 shows the relationship between the amplitude and frequency of the added vibration system in a vibration system with two degrees of freedom. FIG. 5 is an explanatory diagram of the installation of the dynamic vibration absorber of the present invention, and FIG. 6 is an explanatory diagram of the relationship between the length from the fulcrum to the heavy shaft and the natural frequency. 1... Vibrated body, 2... Vibration source, 3... Support handle, 4... Support tool, 5... Spring, 6... Heavy peg, 7
... Motor, 8 ... Accelerometer, 9 ... Control device.
Claims (1)
支持具と、該支持具にヒンジを介して片持状態に
取り付けられ長柄状の剛体からなる支持柄と、該
支持柄と前記被振動体との間に介装されてこの支
持柄を振動可能に保持するコイルバネと、前記支
持柄にネジ機構を介して移動可能に取り付けられ
支点からの距離を変えてこの支持柄振動系の固有
振動数P2を変化させる重鍾と、該重鍾を前記ネ
ジ機構を介して移動させるモータと、前記被振動
体の振動数ωを検出する加速度計と、該加速度計
の検出振動数ωに基づいて前記モータにより重鍾
を移動して前記支持柄の固有振動数P2を検出振
動数ωに自動的に制御する制御手段とから成る動
吸振器。1. A support fixed to a vibrated body to which forced vibration is applied, a support handle made of a long rigid body attached in a cantilever manner to the support via a hinge, and a support handle and the vibrated body connected to each other. A coil spring is interposed between the coil springs and holds the support shaft so that it can vibrate, and a coil spring is movably attached to the support shaft via a screw mechanism to adjust the natural frequency P2 of the vibration system of the support shaft by changing the distance from the fulcrum. a motor that moves the heavy plow through the screw mechanism; an accelerometer that detects the vibration frequency ω of the vibrated body; control means for automatically controlling the natural frequency P2 of the support handle to the detected frequency ω by moving the heavy peg.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP15945482A JPS5950243A (en) | 1982-09-16 | 1982-09-16 | Vibration absorbing device |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP15945482A JPS5950243A (en) | 1982-09-16 | 1982-09-16 | Vibration absorbing device |
Publications (2)
Publication Number | Publication Date |
---|---|
JPS5950243A JPS5950243A (en) | 1984-03-23 |
JPH037816B2 true JPH037816B2 (en) | 1991-02-04 |
Family
ID=15694110
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
JP15945482A Granted JPS5950243A (en) | 1982-09-16 | 1982-09-16 | Vibration absorbing device |
Country Status (1)
Country | Link |
---|---|
JP (1) | JPS5950243A (en) |
Families Citing this family (15)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS5993544A (en) * | 1982-11-18 | 1984-05-30 | Sumitomo Precision Prod Co Ltd | Hydraulic vibration reducing balancer |
JPS6170243A (en) * | 1984-09-13 | 1986-04-11 | Mitsubishi Electric Corp | Vibration control device |
JPS63243544A (en) * | 1987-03-27 | 1988-10-11 | Nkk Corp | Control device for dynamic vibration reducer |
DE3843676A1 (en) * | 1988-12-23 | 1990-07-05 | Bayerische Motoren Werke Ag | VIBRATION DETECTOR |
KR100345123B1 (en) * | 1999-12-24 | 2002-07-24 | 현대자동차주식회사 | Frequency variable damper |
JP5225605B2 (en) * | 2007-04-16 | 2013-07-03 | ヤンマー株式会社 | Work vehicle |
JP5170545B2 (en) * | 2008-07-02 | 2013-03-27 | アイシン精機株式会社 | Active vibration isolator |
FI123986B (en) * | 2008-07-08 | 2014-01-31 | Metso Paper Inc | Method and apparatus for attenuating the vibration of a coating station |
JP5259350B2 (en) * | 2008-11-19 | 2013-08-07 | 株式会社東芝 | Rotating electric machine |
US8863784B2 (en) | 2010-04-22 | 2014-10-21 | Cameron International Corporation | Viscoelastic damped jumpers |
US9500247B2 (en) * | 2010-11-01 | 2016-11-22 | University Of Houston | Pounding tune mass damper with viscoelastic material |
CZ306877B6 (en) * | 2010-11-05 | 2017-08-23 | Technická univerzita v Liberci | A vibroinsulating device for a seat |
JP5863528B2 (en) | 2012-03-23 | 2016-02-16 | 三菱重工業株式会社 | Vibration reduction device |
CA2917786C (en) | 2013-07-12 | 2019-06-04 | Bae Systems Plc | Improvements in and relating to vibration control |
EP2824360A1 (en) * | 2013-07-12 | 2015-01-14 | BAE Systems PLC | Improvements in and relating to vibration control |
Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS53140477A (en) * | 1977-05-13 | 1978-12-07 | Mitsubishi Heavy Ind Ltd | Vibration preventive device of large scale structure |
JPS5536636A (en) * | 1978-09-04 | 1980-03-14 | Ohbayashigumi Ltd | Vibration-proof device |
JPS5617436B2 (en) * | 1978-07-24 | 1981-04-22 | ||
JPS57144488A (en) * | 1981-03-02 | 1982-09-07 | Tokyo Shibaura Electric Co | Nuclear reactor building |
Family Cites Families (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS5617436U (en) * | 1979-07-19 | 1981-02-16 |
-
1982
- 1982-09-16 JP JP15945482A patent/JPS5950243A/en active Granted
Patent Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS53140477A (en) * | 1977-05-13 | 1978-12-07 | Mitsubishi Heavy Ind Ltd | Vibration preventive device of large scale structure |
JPS5617436B2 (en) * | 1978-07-24 | 1981-04-22 | ||
JPS5536636A (en) * | 1978-09-04 | 1980-03-14 | Ohbayashigumi Ltd | Vibration-proof device |
JPS57144488A (en) * | 1981-03-02 | 1982-09-07 | Tokyo Shibaura Electric Co | Nuclear reactor building |
Also Published As
Publication number | Publication date |
---|---|
JPS5950243A (en) | 1984-03-23 |
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