JPH09113403A - Method and equipment for analyzing seismic response of aseismatic structure - Google Patents
Method and equipment for analyzing seismic response of aseismatic structureInfo
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- JPH09113403A JPH09113403A JP7272522A JP27252295A JPH09113403A JP H09113403 A JPH09113403 A JP H09113403A JP 7272522 A JP7272522 A JP 7272522A JP 27252295 A JP27252295 A JP 27252295A JP H09113403 A JPH09113403 A JP H09113403A
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- seismic
- characteristic model
- seismic isolation
- isolation device
- spring
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Abstract
Description
【０００１】[0001]
【発明の属する技術分野】本発明は、免震装置を介して
支承された免震構造物の地震応答解析方法及びその装置
に関する技術分野に属する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a technical field relating to an earthquake response analysis method for a seismic isolated structure supported by a seismic isolation device and the device thereof.
【０００２】[0002]
【従来の技術】従来より、この種の免震構造物を支承す
るための免震装置として、ＬＲＢ（Lead Rubber Bearin
g ）と呼ばれる鉛入り積層免震ゴムは知られている。こ
の免震装置は、複数のゴム及び鋼板を交互に積層して加
硫接着した積層ゴム体と、該積層ゴム体の中心部に埋め
込まれた鉛プラグとを備えてなるもので、構造物と地盤
との間に所定数介在されて構造物を支承する。2. Description of the Related Art Conventionally, an LRB (Lead Rubber Bearin) has been used as a seismic isolation device for supporting this type of seismic isolation structure.
A laminated rubber seismic isolation rubber called g) is known. This seismic isolation device is provided with a laminated rubber body in which a plurality of rubbers and steel plates are alternately laminated and vulcanized and bonded, and a lead plug embedded in the center of the laminated rubber body. The structure is supported by interposing a predetermined number with the ground.
【０００３】このような免震構造物の地震応答解析を行
うには、上記免震装置の履歴特性のモデル化、つまり水
平変位に対する水平荷重曲線の特性をモデル化すること
が必須となる。この履歴特性のモデル化にあたっては、
従来、種々のモデル化の方法が採用されているが、その
殆どが等価ばね定数を用いたバイリニアモデルとされて
いる。このバイリニアモデルでは、図７に示す如く、実
測した履歴曲線での等価ばね定数（図７のＡＢ間の線の
傾きとして表される）を求めて履歴曲線を作成し、いか
なる剪断歪み状態でも同じ曲線を用い、剪断歪みの大き
さの違いに拘らず、ある変位ｘｂに対する復元力をＦｂ
とするように求めるものである。In order to analyze the seismic response of such a seismic isolation structure, it is essential to model the hysteresis characteristic of the seismic isolation device, that is, the characteristic of the horizontal load curve with respect to horizontal displacement. In modeling this history characteristic,
Conventionally, various modeling methods have been adopted, but most of them are bilinear models using an equivalent spring constant. In this bi-linear model, as shown in FIG. 7, the equivalent spring constant (expressed as the slope of the line between AB in FIG. 7) in the actually measured hysteresis curve is obtained to create a hysteresis curve, and the same is obtained in any shear strain state. Using a curve, the restoring force for a certain displacement xb is Fb regardless of the difference in the magnitude of shear strain.
It is what you ask.
【０００４】[0004]
【発明が解決しようとする課題】しかし、この従来のバ
イリニアモデルを用いる方法では、等価ばね定数を用い
るので、初期変位の立上がりを正確に表すことができな
いとともに、小さな変位から大きな変位までを同じ１つ
のモデルで精度よくシミュレーションすることができな
いという問題があった。However, in the conventional method using the bilinear model, since the equivalent spring constant is used, the rise of the initial displacement cannot be accurately represented, and the small displacement to the large displacement are the same. There was a problem that two models could not be simulated accurately.
【０００５】本発明は斯かる点に鑑みてなされたもの
で、その目的は、免震装置の履歴特性モデルの構成を改
良することで、初期変位の立上がりを正確に表すことが
でき、しかも変位の大きさに拘らず同じモデルで精度よ
くシミュレーションできるようにすることにある。The present invention has been made in view of the above points, and an object thereof is to improve the configuration of the hysteresis characteristic model of the seismic isolation device so that the rising of the initial displacement can be accurately represented and the displacement The aim is to enable accurate simulations with the same model regardless of the size of.
【０００６】[0006]
【課題を解決するための手段】上記の目的を達成するた
めに、この発明では、上記ＬＲＢの免震装置が弾性と塑
性との両特性を兼ね備えたもので、その履歴特性は非線
形特性で複雑な挙動を示すことに着目し、この弾塑性の
両特性を持った要素を組み合わせてモデル化することと
した。In order to achieve the above object, in the present invention, the LRB seismic isolation device has both elasticity and plasticity characteristics, and its hysteresis characteristics are non-linear and complicated. Focusing on the behavior, we decided to combine the elements with both elasto-plastic characteristics to create a model.
【０００７】具体的には、請求項１〜４の発明は免震構
造物の地震応答解析方法の発明であり、請求項１の発明
では、複数のゴム及び鋼板を交互に積層して加硫接着し
た積層ゴム体と、該積層ゴム体の中心部に埋め込まれた
鉛プラグとを備えてなる免震装置を介して支承された免
震構造物の地震応答解析方法が対象である。Specifically, the inventions of claims 1 to 4 are inventions of a method for analyzing seismic response of a base-isolated structure. In the invention of claim 1, a plurality of rubbers and steel plates are alternately laminated and vulcanized. A method for analyzing the seismic response of a seismic isolated structure supported by a seismic isolation device including a bonded laminated rubber body and a lead plug embedded in the center of the laminated rubber body is an object.
【０００８】そして、上記免震装置について、ばね要素
及びスライダ要素が直列に接続された少なくとも１つの
ばねスライダ要素と、１つのばね要素と、１つのダッシ
ュポット要素とを互いに並列に接続した水平変位に対す
る水平荷重の履歴特性モデルを設定し、この免震装置の
履歴特性モデルに基づいて免震構造物の地震応答解析を
行う。Further, in the seismic isolation device described above, at least one spring slider element in which a spring element and a slider element are connected in series, one spring element and one dashpot element are connected in parallel to each other in horizontal displacement. A horizontal characteristic model of horizontal load is set for and the seismic response analysis of the base-isolated structure is performed based on the historical characteristic model of the base isolation device.
【０００９】上記の構成により、履歴特性モデルがばね
スライダ要素、ばね要素及びダッシュポット要素を備え
ているので、その履歴特性モデルは弾性及び塑性の両特
性を兼ね備えた実際の免震装置と同様の履歴特性とな
り、初期変位の立上がりを正確に表すことができる。ま
た、小さな変位から大きな変位までを同じ１つのモデル
で精度よくシミュレーションすることができる。With the above structure, the hysteresis characteristic model includes the spring slider element, the spring element and the dashpot element, so that the hysteresis characteristic model is similar to an actual seismic isolation device having both elasticity and plasticity characteristics. It has a hysteresis characteristic and can accurately represent the rise of the initial displacement. Also, small displacements to large displacements can be accurately simulated with the same one model.
【００１０】請求項２の発明では、請求項２の発明の免
震構造物の地震応答解析方法において、水平変位の増大
に応じて免震装置の履歴特性モデルのばねスライダ要素
の数を増加させる。このことで、変位が増大してもその
増大に応じて初期変位の立上がりを精度よく表せるよう
になる。According to a second aspect of the present invention, in the seismic response analysis method for the base isolation structure according to the second aspect, the number of spring slider elements of the hysteresis characteristic model of the seismic isolation device is increased according to an increase in horizontal displacement. . As a result, even if the displacement increases, the rise of the initial displacement can be accurately represented according to the increase.
【００１１】請求項３の発明では、具体的に、上記免震
装置の履歴特性モデルのばねスライダ要素の数を４とす
る。こうすれば、シミュレーションに要する時間と各要
素の定数の決定とを考慮して初期変位の立上がりを精度
よく表すことができる。In the third aspect of the invention, specifically, the number of spring slider elements of the hysteresis characteristic model of the seismic isolation device is set to four. By doing so, the rise of the initial displacement can be accurately represented in consideration of the time required for the simulation and the determination of the constants of the respective elements.
【００１２】請求項４の発明では、請求項１の発明の免
震構造物の地震応答解析方法において、履歴特性モデル
におけるばね要素及びスライダ要素の各定数は、免震装
置の実際の履歴特性から求められた定数に１よりも小さ
い所定値を乗じたものとする。この構成により、変位が
大きくなった場合でも履歴面積が大きくなり過ぎること
はなく、深刻な問題となるような大きな地震での変位に
良好に対応させることができる。According to a fourth aspect of the invention, in the seismic response analysis method for the base isolation structure according to the first aspect of the invention, the constants of the spring element and the slider element in the hysteresis characteristic model are based on the actual hysteresis characteristics of the seismic isolation device. It is assumed that the obtained constant is multiplied by a predetermined value smaller than 1. With this configuration, even if the displacement becomes large, the history area does not become too large, and it is possible to favorably deal with the displacement in a large earthquake that poses a serious problem.
【００１３】請求項５の発明は地震応答解析装置の発明
であり、複数のゴム及び鋼板を交互に積層して加硫接着
した積層ゴム体と、該積層ゴム体の中心部に埋め込まれ
た鉛プラグとを備えてなる免震装置を介して支承された
免震構造物の地震応答を解析するようにした地震応答解
析装置が対象である。A fifth aspect of the present invention is an invention of an earthquake response analyzing apparatus, which comprises a laminated rubber body in which a plurality of rubbers and steel plates are alternately laminated and vulcanized and bonded, and lead embedded in the central portion of the laminated rubber body. The object is an earthquake response analysis device configured to analyze the seismic response of a seismic isolation structure supported by a seismic isolation device including a plug.
【００１４】そして、請求項１の発明と同様に、上記免
震装置について、ばね要素及びスライダ要素が直列に接
続された少なくとも１つのばねスライダ要素と、１つの
ばね要素と、１つのダッシュポット要素とを互いに並列
に接続した水平変位に対する水平荷重の履歴特性モデル
を設定する履歴特性モデル設定手段を設けるとともに、
この履歴特性モデル設定手段により設定された免震装置
の履歴特性モデルに基づいて免震構造物の地震応答解析
をシミュレーションにより行う解析手段を設ける。従っ
て、この発明でも、請求項１の発明と同様の作用効果が
得られる。As in the invention of claim 1, in the seismic isolation device, at least one spring slider element in which a spring element and a slider element are connected in series, one spring element, and one dashpot element. And a history characteristic model setting means for setting a history characteristic model of horizontal load with respect to horizontal displacement, which is connected in parallel with each other,
An analysis means is provided for performing a simulation of the seismic response of the base-isolated structure based on the history characteristic model of the seismic isolation device set by the history characteristic model setting means. Therefore, also in this invention, the same effect as the invention of claim 1 can be obtained.
【００１５】[0015]
【発明の実施の形態】図３は本発明の実施形態に係る免
震装置Ｍを示し、この免震装置Ｍは、図示しないが免震
構造物と地盤との間に複数介在されて該免震構造物を地
盤上に免震構造で支承するものである。FIG. 3 shows a seismic isolation device M according to an embodiment of the present invention. A plurality of seismic isolation devices M, which are not shown, are interposed between a seismic isolation structure and the ground. The seismic structure is supported on the ground by a seismic isolation structure.
【００１６】すなわち、図３において、１は地盤側に取
り付けられる下側の地盤側取付プレート、２は構造物側
に取り付けられる上側の構造物側取付プレートで、両プ
レート１，２は同じ大きさの円板状のものであり、互い
に同心に対向配置されている。両プレート１，２間には
複数のゴム３，３，…及び鋼板４，４，…を交互に積層
して加硫接着した円柱状の積層ゴム体５が両プレート
１，２と同心に介在されて接着され、その積層ゴム体５
の中心部に鉛プラグ６が埋め込まれている。尚、積層ゴ
ム体５の周囲側面は被覆ゴム７で覆われている。また、
各プレート１，２の対向面にはプレート１，２の同心円
周上に複数のダウエルピン８，８，…（１つのみ図示す
る）が一体に突設され、この各ダウエルピン８は積層ゴ
ム体５の上下端面に形成したダウエル穴（図示せず）内
に嵌合されている。That is, in FIG. 3, 1 is a lower ground side mounting plate to be mounted on the ground side, 2 is an upper structure side mounting plate to be mounted on the structure side, and both plates 1 and 2 have the same size. Disc-shaped, and are concentrically arranged to face each other. A plurality of rubbers 3, 3, ... And a plurality of steel plates 4, 4, .. And laminated, the laminated rubber body 5
A lead plug 6 is embedded in the center of the. The peripheral side surface of the laminated rubber body 5 is covered with a covering rubber 7. Also,
A plurality of dowel pins 8, 8, ... (Only one is shown) are integrally projected on the concentric circumferences of the plates 1 and 2 on the facing surfaces of the plates 1 and 2, and each dowel pin 8 is formed of a laminated rubber body 5. Are fitted in dowel holes (not shown) formed in the upper and lower end surfaces.
【００１７】図４は上記免震装置Ｍに支承された免震構
造物の地震応答解析装置の構成を示し、この装置は履歴
特性モデル設定部１１と、この履歴特性モデル設定部１
１に接続された解析部１２とを備えてなる。FIG. 4 shows the structure of the seismic response analysis device for the seismic isolation structure supported by the seismic isolation device M. This device has a history characteristic model setting unit 11 and this history characteristic model setting unit 1.
1 and an analysis unit 12 connected to 1.
【００１８】上記履歴特性モデル設定部１１は、上記免
震装置Ｍについて水平変位に対する水平荷重の履歴特性
モデルを設定するもので、この履歴特性モデルは、図１
に示すように、１つのばね要素１５（定数ｋ0 ）と、各
々ばね要素１６ａ〜１６ｄ（定数ｋ1 〜ｋ4 ）及びスラ
イダ要素１７ａ〜１７ｄ（定数ｆ1 〜ｆ4 ）が直列に接
続された４つのばねスライダ要素１８ａ〜１８ｄと、１
つのダッシュポット要素１９（定数ｃ）とを互いに並列
に接続したモデルとされている。上記各要素１５，１６
ａ〜１６ｄ，１７ａ〜１７ｄ，１９は表１に示す特性を
有する。The history characteristic model setting unit 11 sets a history characteristic model of horizontal load with respect to horizontal displacement for the seismic isolation device M. This history characteristic model is shown in FIG.
As shown in FIG. 5, one spring element 15 (constant k 0 ) is connected in series with each of the spring elements 16a to 16d (constants k 1 to k 4 ) and slider elements 17a to 17d (constants f 1 to f 4 ). Four spring slider elements 18a-18d and 1
It is a model in which two dashpot elements 19 (constant c) are connected in parallel with each other. Each of the above elements 15, 16
a to 16d, 17a to 17d, 19 have the characteristics shown in Table 1.
【００１９】[0019]
【表１】 [Table 1]
【００２０】免震装置Ｍに対する水平変位が小さい場
合、上記履歴特性モデルのばねスライダ要素の数は１つ
でもよく、実測した履歴曲線と一致させることができ
る。しかし、変位が大きくなると、初期変位での立上が
りを精度よく表すことが困難になるので、水平変位の増
大に応じて免震装置Ｍの履歴特性モデルのばねスライダ
要素の数を増加させればよく、この数を増やすほど精度
が高くなる。この実施形態では、上記ばねスライダ要素
の数を４とすることで、シミュレーションに要する時間
と各要素の定数の決定とを考慮して初期変位の立上がり
を精度よく表すことができるようにしている。When the horizontal displacement with respect to the seismic isolation device M is small, the number of spring slider elements in the above hysteresis characteristic model may be one, and can be matched with the measured hysteresis curve. However, when the displacement becomes large, it becomes difficult to accurately represent the rise at the initial displacement. Therefore, the number of spring slider elements of the hysteresis characteristic model of the seismic isolation device M may be increased according to the increase of the horizontal displacement. , The higher the number, the higher the accuracy. In this embodiment, by setting the number of the spring slider elements to four, the rise of the initial displacement can be accurately represented in consideration of the time required for the simulation and the determination of the constant of each element.
【００２１】一方、解析部１２は、上記履歴特性モデル
設定部１１により設定された免震装置Ｍの履歴特性モデ
ルに基づいて免震構造物の地震応答解析を行うものであ
る。On the other hand, the analysis unit 12 performs the seismic response analysis of the seismic isolated structure based on the history characteristic model of the seismic isolation apparatus M set by the history characteristic model setting unit 11.
【００２２】次に、上記履歴特性モデルを用いたときに
各要素がどのように作用するかを説明すると、まず、初
期状態（変位０）でのモデル全体のばね定数ｋa0は次式
により表され、また、初期変位ｘに対してモデルが元
に戻ろうとする復元力Ｆは式で表される。Next, how each element works when the above hysteresis characteristic model is used will be described. First, the spring constant k a0 of the entire model in the initial state (displacement 0) is expressed by the following equation. The restoring force F that the model tries to return to the original displacement x is expressed by an equation.
【００２３】[0023]
【数１】 (Equation 1)
【００２４】その後、変位が大きくなるに従い、ばねス
ライダ要素１８ａ〜１８ｄにおいてスライダ要素１７ａ
〜１７ｄとセットになったばね要素１６ａ〜１６ｄに作
用する力が摩擦力ｆよりも大きくなると、スライダ要素
１７ａ〜１７ｄが滑り出してモデル全体でのばね定数が
低下する。すなわち、変位ｘに対してｋ1 ｘ＞ｆ1 とな
った場合、モデル全体のばね定数ｋa1は以下の式で、
また復元力Ｆは式でそれぞれ表される。Thereafter, as the displacement becomes larger, the slider elements 17a in the spring slider elements 18a to 18d are changed.
When the force acting on the spring elements 16a to 16d, which is set to ˜17d, becomes larger than the frictional force f, the slider elements 17a to 17d start to slide and the spring constant of the entire model decreases. That is, when k 1 x> f 1 with respect to displacement x, the spring constant k a1 of the entire model is given by
Further, the restoring force F is expressed by an equation.
【００２５】[0025]
【数２】 (Equation 2)
【００２６】上記履歴特性モデルに用いるばね要素１
５，１６ａ〜１６ｄ及びスライダ要素１７ａ〜１７ｄの
各定数の決定には、図２に示すような免震装置Ｍの実際
の履歴特性の曲線を使用する。つまり、この履歴曲線の
履歴特性を５つに分割し、各々の区間での傾きｋsj（ｊ
＝１〜５）を求める。この傾きｋsjは次式〜により
表すことができ、これらの式〜からｋi を求めるこ
とができる。Spring element 1 used in the hysteresis characteristic model
In order to determine the constants of 5, 16a to 16d and the slider elements 17a to 17d, the actual hysteresis characteristic curve of the seismic isolation device M as shown in FIG. 2 is used. That is, the history characteristic of this history curve is divided into five, and the slope k sj (j
= 1 to 5). This slope k sj can be expressed by the following equations (1) to (3), and ki can be obtained from these equations (1) to (3).
【００２７】[0027]
【数３】 (Equation 3)
【００２８】そのとき、各区間の変位Δｘi とばね要素
１５，１６ａ〜１６ｄの定数ｋi との積を定数ｆi とす
るが、そのままでは、変位が大きくなった場合、履歴面
積が大きくなり過ぎるので、５０％歪みでの履歴形状に
合わせるべく０．５程度の値をそれぞれ定数ｋi ，ｆi
にかける（尚、１よりも小さい所定値をかければよ
い）。こうすることで、変位が大きくなった場合でも、
履歴面積が大きくなり過ぎることはなく、深刻な問題と
なるような大きな地震での変位に良好に対応させること
ができる。At this time, the product of the displacement Δx i of each section and the constant k i of the spring elements 15, 16a to 16d is defined as a constant f i . However, if the displacement becomes large, the hysteresis area becomes large. Therefore, a value of about 0.5 is set to the constants k i and f i , respectively, in order to match the history shape at 50% strain.
(Note that a predetermined value smaller than 1 should be applied). By doing this, even if the displacement becomes large,
The history area does not become too large, and it is possible to respond well to displacements in large earthquakes that pose a serious problem.
【００２９】したがって、このように変位の増大に伴っ
て順にスライダ要素１７ａ〜１７ｄが滑り出すことによ
り、一定の復元力を保ちながら変位が大きくなるに連れ
てばね定数が小さくなっていく、弾性及び塑性の両特性
を兼ね備えた実際の免震装置Ｍの履歴特性を適正にモデ
ル化することができ、初期変位の立上がりを正確に表す
ことができる。また、小さな変位から大きな変位までを
同じ１つのモデルで精度よくシミュレーションすること
ができる。Therefore, as the displacement increases, the slider elements 17a to 17d sequentially slide out, and the spring constant decreases as the displacement increases while maintaining a constant restoring force. Elasticity and plasticity It is possible to properly model the history characteristic of the actual seismic isolation device M that has both of the above characteristics and accurately represent the rise of the initial displacement. Also, small displacements to large displacements can be accurately simulated with the same one model.
【００３０】[0030]
【実施例】今回実施した履歴特性モデルの妥当性を検証
するために、５種類の免震装置についてシミュレーショ
ンをVisual Basicを用いて行った。表２に、今回モデル
化した免震装置の各定数を示す。表２中、「ＬＲＢ」の
次の数字は免震装置の有効径（シム径）を表す。また、
「ＲＢ」は鉛プラグ６の埋め込まれていない免震装置
（比較例）を示す。[Example] In order to verify the validity of the hysteresis characteristic model implemented this time, simulation was performed using Visual Basic for five types of seismic isolation devices. Table 2 shows each constant of the seismic isolation device modeled this time. In Table 2, the number next to "LRB" represents the effective diameter (shim diameter) of the seismic isolation device. Also,
“RB” indicates a seismic isolation device (comparative example) in which the lead plug 6 is not embedded.
【００３１】[0031]
【表２】 [Table 2]
【００３２】上記シミュレーションは図５に示すフロー
チャートに沿って行われる。その手順について説明する
と、ステップＳ１で５種類の免震装置を選択し、ステッ
プＳ２で各々の定数（表２参照）を読み込む。ステップ
Ｓ３において、復元力Ｆn を、１つ前の復元力Ｆn-1 に
微小変位ｘn −ｘn-1 とばね定数ｋi （ｉ＝１〜４）と
の積を加えた値Ｆn ＝Ｆn-1 ＋ｋi （ｘn −ｘn-1 ）と
して計算する。ステップＳ４では、上記微小変位ｘn −
ｘn-1 の正負を判定し、この判定がｘn −ｘn- 1 ＞０の
ＹＥＳのときにはステップＳ５でその復元力Ｆn と摩擦
力ｆi （ｉ＝１〜４）との大小を判定し、この判定がＦ
n ≧ｆi のＹＥＳのときにはステップＳ６で復元力Ｆn
を摩擦力ｆi とした後、またＦn ＜ｆi のＮＯのときに
は直接それぞれステップＳ９に進む。The above simulation is performed according to the flow chart shown in FIG. The procedure will be described. In step S1, five types of seismic isolation devices are selected, and in step S2, respective constants (see Table 2) are read. In step S3, the restoring force F n is a value F obtained by adding the product of the minute displacement x n −x n−1 and the spring constant k i (i = 1 to 4) to the previous restoring force F n−1. n = calculated as F n-1 + k i ( x n -x n-1). In step S4, the small displacement x n −
Whether the sign of x n-1 is positive or negative is judged, and when the judgment is YES of x n -x n- 1 > 0, the restoring force F n and the friction force f i (i = 1 to 4) are compared in step S5. Judgment, this judgment is F
When n ≧ f i is YES, the restoring force F n is determined in step S6.
Is set as the frictional force f i, and when F n <f i is NO, the process directly proceeds to step S9.
【００３３】一方、ステップＳ４での判定がｘn −ｘ
n-1 ≦０のＮＯのときにはステップＳ７で復元力Ｆn と
摩擦力−ｆi との大小を判定し、この判定がＦn ≦−ｆ
i のＹＥＳのときにはステップＳ８で復元力Ｆn を摩擦
力−ｆi とした後、またＦn ＞−ｆi のＮＯのときには
そのままステップＳ９に進む。On the other hand, the determination in step S4 is x n -x
when n-1 ≦ 0 of NO determines the magnitude of the restoring force F n and the frictional force -f i in step S7, the determination is F n ≦ -f
When i is YES, the restoring force F n is set to the frictional force −f i in step S8, and when F n > −f i is NO, the process directly proceeds to step S9.
【００３４】上記ステップＳ９では、前回の復元力Ｆ
n-1 を今回の復元力Ｆn に書き換え、ステップＳ１０で
結果の表示をした後、ステップＳ１１で結果をファイル
に出力し、しかる後に終了する。At step S9, the previous restoring force F
rewrites the n-1 to the current restoring force F n, after the display of the result in step S10, and outputs the results to a file in step S11, and ends thereafter.
【００３５】すなわち、このシミュレーションでは、ス
ライダ要素が滑るか滑らないかの判断を行うために、１
つ前の復元力Ｆn-1 を用いている。この前回の復元力Ｆ
n-1と微小変位ｘn −ｘn-1 及びばね定数ｋi の積との
和として得られた復元力Ｆn＝Ｆn-1 ＋ｋi （ｘn −ｘ
n-1 ）が摩擦力ｆi よりも大きくなった場合、スライダ
要素が滑り出し、復元力Ｆn がスライダ要素の摩擦力ｆ
i と等しくなるようにしている（ステップＳ３〜Ｓ
８）。That is, in this simulation, in order to judge whether the slider element slips or does not slip, 1
The previous restoring force F n-1 is used. This previous resilience F
n-1 and the minute displacement x n -x n-1 and the spring constant k restoring force obtained as the sum of the product of i F n = F n-1 + k i (x n -x
n-1 ) becomes larger than the frictional force f i , the slider element slides out and the restoring force F n is the frictional force f of the slider element.
It is set to be equal to i (steps S3 to S
8).
【００３６】また、微小変位ｘn −ｘn-1 の正負を判定
することで、変位が正負のいずれであっても復元力の方
向を考慮したシミュレーションを行うことができる（ス
テップＳ４〜Ｓ８）。Further, by determining whether the small displacement x n -x n-1 is positive or negative, it is possible to perform a simulation considering the direction of the restoring force regardless of whether the displacement is positive or negative (steps S4 to S8). .
【００３７】図６（ａ）にシミュレーションの結果を、
また図６（ｂ）に実際に測定された履歴曲線をそれぞれ
対比して示す。この図６からシミュレーション結果が実
測結果と一致していることが判る。The result of the simulation is shown in FIG.
In addition, FIG. 6B shows the actually measured history curves in comparison with each other. It can be seen from FIG. 6 that the simulation result matches the actual measurement result.
【００３８】また、変異が小さい場合、シミュレーショ
ン結果でのループ面積が実測の場合よりも小さくなって
いるが、これは変位が大きい場合に実測状態に合わせよ
うとしたためであり、この点から本発明の履歴特性モデ
ルは、解析を必要とするような大きな地震に対して特に
有効であることが判る。When the variation is small, the loop area in the simulation result is smaller than that in the actual measurement. This is because when the displacement is large, an attempt is made to match the actual measurement state. It is found that the historical characteristic model of is particularly effective for large earthquakes that require analysis.
【００３９】また、本発明の履歴特性モデルによれば、
従来のバイリニアモデルよりも遥かに実測履歴曲線に近
い結果が得られ、特に、初期変位での曲線の立上がりを
十分に表すことができ、剪断歪みの大きさによって異な
るＬＲＢ免震装置の履歴特性を正確に表すことができる
ことが判る。According to the history characteristic model of the present invention,
The result is much closer to the measured history curve than the conventional bilinear model, and in particular, the rise of the curve at the initial displacement can be sufficiently expressed, and the history characteristics of the LRB seismic isolation device that differ depending on the magnitude of shear strain can be obtained. It turns out that it can be expressed accurately.
【００４０】[0040]
【発明の効果】以上説明したように、請求項１又は５の
発明によると、複数のゴム及び鋼板を交互に積層して加
硫接着した積層ゴム体と、該積層ゴム体の中心部に埋め
込まれた鉛プラグとを備えてなる免震装置を介して支承
された免震構造物の地震応答解析を行う場合、免震装置
について、ばね要素及びスライダ要素が直列に接続され
た少なくとも１つのばねスライダ要素と、１つのばね要
素と、１つのダッシュポット要素とを互いに並列に接続
した水平変位に対する水平荷重の履歴特性モデルを設定
して、この履歴特性モデルに基づいて免震構造物の地震
応答解析を行うようにしたことにより、免震装置の履歴
特性モデルとして弾性及び塑性の両特性を兼ね備えた実
際の免震装置と同様のモデルが得られ、初期変位の立上
がりを正確に表すことができるとともに、小さな変位か
ら大きな変位までを同じ１つのモデルで精度よくシミュ
レーションすることができ、免震構造物の地震応答解析
精度の向上を図ることができる。As described above, according to the invention of claim 1 or 5, a plurality of rubbers and steel plates are alternately laminated and vulcanized and bonded, and a laminated rubber body is embedded in the center of the laminated rubber body. At least one spring in which a spring element and a slider element are connected in series for the seismic isolation device when performing seismic response analysis of a seismic isolation structure supported via the seismic isolation device including a lead plug A hysteresis characteristic model of horizontal load for horizontal displacement in which a slider element, one spring element, and one dashpot element are connected in parallel to each other is set, and based on this hysteresis characteristic model, the seismic response of a base-isolated structure By performing the analysis, a model similar to an actual seismic isolation device that has both elastic and plastic characteristics can be obtained as a hysteresis characteristic model of the seismic isolation device, and accurately represents the rise of initial displacement. Preparative it is, small displacements from to large displacement can be accurately simulated with the same one model, it is possible to improve the seismic response analysis accuracy of seismic isolation structure.
【００４１】請求項２の発明によると、水平変位の増大
に応じて履歴特性モデルのばねスライダ要素の数を増加
させるようにしたことにより、変位の増大に応じて初期
変位の立上がりを精度よく表すことができ、免震構造物
の地震応答解析をさらに精度よく行うことができる。According to the second aspect of the present invention, the number of spring slider elements of the hysteresis characteristic model is increased in accordance with the increase in horizontal displacement, so that the rise of the initial displacement is accurately represented in accordance with the increase in displacement. Therefore, the seismic response analysis of the base-isolated structure can be performed with higher accuracy.
【００４２】請求項３の発明によると、上記履歴特性モ
デルのばねスライダ要素の数を４としたことにより、シ
ミュレーションに要する時間と各要素の定数の決定とを
考慮して初期変位の立上がりを精度よく表す最適な履歴
特性モデルを得ることができる。According to the third aspect of the present invention, the number of spring slider elements in the hysteresis characteristic model is set to 4, so that the rise of the initial displacement can be accurately taken into consideration in consideration of the time required for the simulation and the determination of the constant of each element. It is possible to obtain an optimal history characteristic model that is well represented.
【００４３】請求項４の発明によると、履歴特性モデル
におけるばね要素及びスライダ要素の各定数として、免
震装置の実際の履歴特性から求められた定数に１よりも
小さい所定値を乗じたものとしたことにより、深刻な問
題となるような大きな地震での変位に履歴特性モデルを
良好に対応させることができる。According to the invention of claim 4, the constants obtained from the actual hysteresis characteristics of the seismic isolation device are multiplied by a predetermined value smaller than 1 as the constants of the spring element and the slider element in the hysteresis characteristic model. By doing so, the hysteresis characteristic model can favorably correspond to the displacement in a large earthquake that causes a serious problem.
【図１】本発明の実施形態に係る免震装置のシミュレー
ションモデルを示す図である。FIG. 1 is a diagram showing a simulation model of a seismic isolation device according to an embodiment of the present invention.
【図２】実施形態に係る免震装置の履歴特性を示す特性
図である。FIG. 2 is a characteristic diagram showing a history characteristic of the seismic isolation device according to the embodiment.
【図３】免震装置を一部破断して示す斜視図である。FIG. 3 is a perspective view showing the seismic isolation device partially broken away.
【図４】本発明の実施形態に係る地震応答解析装置を示
すブロック図である。FIG. 4 is a block diagram showing an earthquake response analysis device according to an embodiment of the present invention.
【図５】シミュレーションの手順を示すフローチャート
図である。FIG. 5 is a flowchart showing a procedure of simulation.
【図６】シミュレーションの結果を実測結果と対比して
示す図である。FIG. 6 is a diagram showing simulation results in comparison with actual measurement results.
【図７】免震装置の従来の履歴特性を示す特性図であ
る。FIG. 7 is a characteristic diagram showing a conventional hysteresis characteristic of the seismic isolation device.
Ｍ 免震装置 １，２ 取付プレート ３ ゴム ４ 鋼板 ５ 積層ゴム体 ６ 鉛プラグ １１ 履歴特性モデル設定部（履歴特性モデル設定手
段） １２ 解析部（解析手段） １５，１６ａ〜１６ｄ ばね要素 １７ａ〜１７ｄ スライダ要素 １８ａ〜１８ｄ ばねスライダ要素 １９ ダッシュポット要素 ｋi ，ｃ 定数 ｆi 摩擦力M seismic isolation device 1, 2 mounting plate 3 rubber 4 steel plate 5 laminated rubber body 6 lead plug 11 history characteristic model setting unit (history characteristic model setting means) 12 analysis unit (analysis means) 15, 16a to 16d spring element 17a to 17d The slider element 18a~18d spring slider element 19 dashpot element k i, c constants f i frictional force
───────────────────────────────────────────────────── フロントページの続き (72)発明者 下田 郁夫 神奈川県藤沢市桐原町８番地 オイレス工 業株式会社藤沢事業所内 (72)発明者 持丸 昌已 神奈川県藤沢市桐原町８番地 オイレス工 業株式会社藤沢事業所内 ─────────────────────────────────────────────────── ─── Continuation of the front page (72) Ikuo Shimoda Inventor Ikuo Shimoda 8 Kirihara-cho, Fujisawa-shi, Kanagawa OILES Industrial Co., Ltd. Fujisawa Works (72) Inventor Masami Mochimaru 8 Kirihara-machi, Fujisawa-Kanagawa OILES Industrial Co., Ltd. Company Fujisawa Office
Claims (5)
硫接着した積層ゴム体と、該積層ゴム体の中心部に埋め
込まれた鉛プラグとを備えてなる免震装置を介して支承
された免震構造物の地震応答解析方法であって、 上記免震装置について、ばね要素及びスライダ要素が直
列に接続された少なくとも１つのばねスライダ要素と、
１つのばね要素と、１つのダッシュポット要素とを互い
に並列に接続した水平変位に対する水平荷重の履歴特性
モデルを設定し、 上記免震装置の履歴特性モデルに基づいて免震構造物の
地震応答解析を行うことを特徴とする免震構造物の地震
応答解析方法。1. A bearing through a seismic isolation device comprising a laminated rubber body in which a plurality of rubbers and steel plates are alternately laminated and vulcanized and bonded, and a lead plug embedded in the center of the laminated rubber body. The seismic response analysis method for a seismic isolated structure, comprising: at least one spring slider element in which a spring element and a slider element are connected in series in the seismic isolation device;
A horizontal load hysteresis characteristic model for horizontal displacement in which one spring element and one dashpot element are connected in parallel is set, and the seismic response analysis of the seismic isolation structure is performed based on the hysteresis characteristic model of the seismic isolation device. Response analysis method for base-isolated structures, characterized by performing
析方法において、 水平変位の増大に応じて免震装置の履歴特性モデルのば
ねスライダ要素の数を増加させることを特徴とする免震
構造物の地震応答解析方法。2. The seismic response analysis method for a seismic isolation structure according to claim 1, wherein the number of spring slider elements of the hysteresis characteristic model of the seismic isolation device is increased according to an increase in horizontal displacement. Seismic response analysis method for seismic structures.
析方法において、 免震装置の履歴特性モデルのばねスライダ要素の数が４
であることを特徴とする免震構造物の地震応答解析方
法。3. The seismic response analysis method for a seismic isolation structure according to claim 2, wherein the number of spring slider elements in the hysteresis characteristic model of the seismic isolation device is four.
A method for analyzing seismic response of base-isolated structures, characterized in that.
析方法において、 履歴特性モデルにおけるばね要素及びスライダ要素の各
定数は、免震装置の実際の履歴特性から求められた定数
に１よりも小さい所定値を乗じたものであることを特徴
とする免震構造物の地震応答解析方法。4. The seismic response analysis method for a seismic isolation structure according to claim 1, wherein each constant of the spring element and the slider element in the hysteresis characteristic model is 1 to a constant obtained from an actual hysteresis characteristic of the seismic isolation device. A method for analyzing seismic response of a base-isolated structure, characterized in that it is multiplied by a predetermined value smaller than.
硫接着した積層ゴム体と、該積層ゴム体の中心部に埋め
込まれた鉛プラグとを備えてなる免震装置を介して支承
された免震構造物の地震応答を解析するようにした地震
応答解析装置であって、 上記免震装置について、ばね要素及びスライダ要素が直
列に接続された少なくとも１つのばねスライダ要素と、
１つのばね要素と、１つのダッシュポット要素とを互い
に並列に接続した水平変位に対する水平荷重の履歴特性
モデルを設定する履歴特性モデル設定手段と、 上記履歴特性モデル設定手段により設定された免震装置
の履歴特性モデルに基づいて免震構造物の地震応答解析
をシミュレーションにより行う解析手段とを備えたこと
を特徴とする免震構造物の地震応答解析装置。5. A bearing is supported via a seismic isolation device including a laminated rubber body in which a plurality of rubbers and steel plates are alternately laminated and vulcanized and bonded, and a lead plug embedded in the center of the laminated rubber body. A seismic response analysis device for analyzing seismic response of a seismic isolated structure, wherein at least one spring slider element in which a spring element and a slider element are connected in series,
A history characteristic model setting unit that sets one spring element and one dashpot element in parallel with each other to set a history characteristic model of horizontal load with respect to horizontal displacement, and a seismic isolation device set by the history characteristic model setting unit. Seismic response analysis apparatus for a seismic isolated structure, characterized by comprising: an analysis means for performing a seismic response analysis of the seismic isolated structure based on the above history characteristic model by simulation.
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|---|---|---|---|
| JP27252295A JP3606651B2 (en) | 1995-10-20 | 1995-10-20 | Seismic response analysis method and analyzer for seismic isolation structure |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP27252295A JP3606651B2 (en) | 1995-10-20 | 1995-10-20 | Seismic response analysis method and analyzer for seismic isolation structure |
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| Publication Number | Publication Date |
|---|---|
| JPH09113403A true JPH09113403A (en) | 1997-05-02 |
| JP3606651B2 JP3606651B2 (en) | 2005-01-05 |
Family
ID=17515073
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|---|---|---|---|
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| JP2010091339A (en) * | 2008-10-06 | 2010-04-22 | Takenaka Komuten Co Ltd | Method for identifying restoring force characteristics |
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| JP5698402B1 (en) * | 2014-06-10 | 2015-04-08 | グローバル・ロジスティック・プロパティーズ株式会社 | Seismic response analysis method for base-isolated buildings and seismic safety evaluation method for base-isolated devices using seismic response analysis method for base-isolated buildings |
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| CN102288402A (en) * | 2011-07-25 | 2011-12-21 | 中国航空规划建设发展有限公司 | Method for monitoring hysteretic property of damper in real time or periodically |
| JP5698402B1 (en) * | 2014-06-10 | 2015-04-08 | グローバル・ロジスティック・プロパティーズ株式会社 | Seismic response analysis method for base-isolated buildings and seismic safety evaluation method for base-isolated devices using seismic response analysis method for base-isolated buildings |
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