2008.10.13MIDAS下的非線形動力分析

邁達斯程序的非線形動力分析

Jong-MinKIM

AnalysisTech.,MIDASITModeling,IntegratedDesign&AnalysisSoftwareMIDASInformationTechnologyCo.,Ltd.MIDASPROGRAMSHANGHAI2008.04.25介紹邊界非線性分析隔震結構分析243彈塑性動力分析5內(nèi)容11基礎隔振控制

NorthridgeEarthquake(1994,USA)1994年1月17日

04時30分-Magnitude:ML=6.7-死亡人數(shù):57人-受災人數(shù):約20,000人

-財產(chǎn)損失:400億美元1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisKobeEarthquake(1995,JAPAN)阪神高速公路橋墩采用1980之前老規(guī)范采用新規(guī)范(1980年)的橋墩1993竣工RC建筑物（5層）1995年1月17日

05時46分-Magnitude:ML=7.2-死亡人數(shù)

:5,373人-受災人數(shù):約32,000人-財產(chǎn)損失:9兆

9,630億日元1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis非彈性行為較易更換或不用更換彈性行為低維修成本或不需要維修能力保護措施強度基礎的隔離與震動控制新抗震設計地震新概念設計延性

+

對舊抗震規(guī)范提出安全性疑問

開發(fā)新抗震設計方法論

預測結構物確實效應

+確?？拐鹦阅?/p>

評測已有結構的抗震性能抗震性能設計

為了能夠精確計算出結構的實際地震效應，采用非線性地震分析

結構自身能力與抗震需求的比較結構物隔離裝置/抑制裝置1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis地震響應分析等效靜力分析地震響應分析設計反應譜Pushover分析靜力分析

動力分析時程分析模態(tài)分析線形分析非線形分析非線性動力分析基礎的隔離與振動控制分析1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis

MIDAS的非線性動力分析1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis

邊界非線形分析非線性振型疊加法內(nèi)力作用類型的一般連接

黏彈性消能器

滯回系統(tǒng)

鉛芯橡膠支座

摩擦擺隔振系統(tǒng)

油阻尼(2007)非線性直接積分法

非線性時程分析非線形直接積分法彈塑性梁-柱

集中鉸類型

分布鉸類型

纖維模型單元類型的一般連接非彈性墻:CRB,GeneralWall非彈性桁架MIDAS下的非線性動力分析1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎隔震控制21常規(guī)抗震設計抗震建筑結構的常規(guī)設計常規(guī)抗震設計結構:塑性損壞高維修成本損害滿足要求地震能量1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎的隔離與振動控制地震的隔離能量損耗裝置1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis地震能量基礎隔離與振動控制隔離/阻尼非彈性行為易更換或不需要更換結構:近似彈性行為低維修成本或不需要維修能力保護措施基礎隔離被動振動控制1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎隔離概念固定支座:加速度響應基礎隔離后:加速度響應1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎隔離基本原理改變周期隔離器屈服后柔度

力減小:

建筑損失降低

隔離器位移增加阻尼增加

隔離器塑性形變下的能量損耗

隔離器位移降低

建筑損失降低周期位移響應譜周期擬加速度反應譜改變周期阻尼改變周期阻尼1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis鉛芯橡膠支座(LRB)鉛芯:

能量損耗

抗風

變形恢復橡膠:

橫向柔度鋼板:

豎向承載力1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis鉛芯橡膠支座應用YamaguchiDome,日本1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis摩擦擺隔振

(FPS)摩擦擺動系統(tǒng)區(qū)凹球面(曲率半徑=

R)摩擦材料(摩擦系數(shù)=μ)WMRM擺動滑動擺動1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisFPS應用IshikawaSciencePark,IshikawaJapan1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis阻尼的基本原理1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis位移力Area=A1:dissipatedenergyArea=A0:dissipatedenergy位移力=FD+FS阻尼F=sin(ω·t)M粘彈性阻尼滯回阻尼

等效阻尼A0A1A0A1阻尼基本原理周期位移響應譜改變周期阻尼阻尼增加

能量損耗

由黏性阻尼

或

塑性變形產(chǎn)生的阻尼

建筑損失降低1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis黏彈性阻尼(KelvinModel)變形過程Maxwell模型液壓黏彈性裝置1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis黏彈性阻尼(KelvinModel)固體類型的黏彈性裝置Kelvin(Voigt)模型1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis金屬屈服阻尼分離支撐系統(tǒng)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis邊界非線性分析13【【【【【【【【【【邊界非線形分析簡述fN,fN:非線性彈簧，非線性力

,fL:等效剛度，等效力pfLfNfL應用振型疊加p

適用于結構的一部分有非線性特性的情況

將非線性單元轉換成線性彈性

非線性效果將非線性構件內(nèi)力轉換為外力來考慮1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis有效剛度

:非線性彈簧替代=+-()=非線形彈簧彈性彈簧彈性彈簧非線形彈簧非線形時程分析線形靜力分析特征值分析1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis等效動力荷載,fN:Nonlinearspring&force,fL:Effectivestiffness&forcefNfLfLppppfLfNfLfNfLfNpfNfLfLfL應用振型疊加法1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis振型疊加法分析簡述隔離器/阻尼器:非彈性行為結構::近似

彈性行為杜哈梅積分1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis直接積分法簡述隔離

器/阻尼器:非彈性行為結構::近似

彈性行為.有效剛度:常量.非線形恢復力Newmark-Beta

1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis一般連接:多樣彈簧連接1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisGeneralLink

withoutShearSpringLocation.Shear&MomentDecouple.MomentofSpringdoesnotdependonSpringLocation1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisGeneralLink

withShearSpringLocation.MomentofSpringdependsonSpringLocation.Shear&MomentCouple.SimilartoBeamElement1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis一般連接:多樣彈簧連接1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis應用類型單元類型基本連接FortyTypeGeneralLink性能類型彈簧線形阻尼器彈簧和線形阻尼器線性特征剛度阻尼剛度阻尼剛度阻尼有效剛度有效阻尼靜力分析彈性---彈性-彈性-反應譜彈性---彈性-彈性-線形時程分析模態(tài)分析彈性--線性彈性線性1)彈性線性1)直接積分彈性--線性彈性線性2)彈性線性2)非線形時程分析模態(tài)分析彈性--線性彈性線性1)彈性(假想)線性1)直接積分彈性--線性彈性線性2)彈性(假想)線性2)1)應變能比2)質量&剛度比&單元質量&剛度比:阻尼矩陣

應變能比

:模態(tài)阻尼比

一般連接的節(jié)點力1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis不帶線性有效阻尼帶線性有效阻尼力類型一般連接的有效剛度不穩(wěn)定結構有效剛度下的穩(wěn)定帶隔離類型的非線性連接結構有效剛度的測定

非零值

有效剛度支撐下的樣式1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisMIDASCivil中的被動振動控制黏彈性阻尼

輸入變量

cd

:VEDDampingConstant

kd:VED剛度

S:阻尼系數(shù)

kb:支撐剛度1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisMIDASCivil下的被動振動控制黏彈性阻尼

阻尼系數(shù)(S)線形(s=1.0)非線形(0.0<s<1.0)變形速度黏性阻尼力1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisMIDASCivil下的被動振動控制黏彈性阻尼(Maxwell模型)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisMIDASCivil下的被動振動控制滯回曲線彈簧參數(shù)k

初始剛度Fy:屈服強度r:桿件屈服強度比α,β:滯回環(huán)形狀參數(shù)S:屈服指數(shù)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis鉛芯橡膠支座隔震裝置ky,Fy,y,ry,α,βkz,Fy,z,rz

α,β1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis鉛芯橡膠支座隔震裝置軸向彈簧參數(shù)kx:彈性剛度剪切彈簧參數(shù)ky,

kz :初始剛度

Fy,y,Fy,z :屈服強度

ry,rz :桿件屈服強度比

α,β :滯回環(huán)形狀參數(shù)LRB的力與位移關系雙軸塑性:Park,Wen&Ang(1986)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis摩擦擺隔振滑動前滑動后柱剪切剛度(=k

)fPfPffPP1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis摩擦擺隔振1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis非線性動力荷載分析常微分方程常微分方程.黏彈性阻尼器a.Maxwell模型b.Kelvin+Maxwell模型.滯回系統(tǒng).LRB(2D,3D).摩擦擺體統(tǒng)(2D,3D)

ODE初始問題-歐拉計算方法-修正后歐拉計算方法-Runge-Kutta計算方法ODE計算方法1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis歐拉計算方法Tylor展開Where,1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisRunge-Kutta計算方法.歐拉計算方法:1階.修正后歐拉計算方法:2階.RungeKutta計算方法:3階,4階Ex.4thorderRungeKutta1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisRunge-KuttaMethodinMIDAS/Civil子步長控制自適應步長控制1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisRunge-KuttaMethod

:自適應步長控制基本數(shù)據(jù):1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisRunge-KuttaMethod

:自適應步長控制h=0.1,eps=0.5D-5h=0.001,eps=0.5D-9h=0.5,eps=0.5D-91.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis1.Introduction

2.BoundaryNonlinearAnalysis

3.InelasticDynamicAnalysis

4.HysteresisModel

5.FiberModel

Runge-KuttaMethod

:StepsizeSub-DivisionControlRunge-KuttaMethod

:子步長控制1stiter:2nditer:3rditer:4thiter:1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisAnalysisofIsolatedStructure14LRBFPS建筑基礎隔離分析地面加速度

1940,ElCentroSite,180Deg分析模型

1940,ElCentroSite,270Deg1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis1.Main對話框模型>邊界條件>一般連接特性值ApplicationType:非線性連接單元的作用類型

ElementType:直接更新單元剛度矩陣來反映非線性。

ForceType:根據(jù)非線性的特性計算出來的內(nèi)力置換成外部荷載，間接的考慮非線性。PropertyTypeElementType:彈簧

線性阻尼器

彈簧與線形阻尼器ForceType:黏彈性消能器

滯后系統(tǒng)

鉛芯橡膠支座隔震裝置

摩擦擺隔震裝置

間隙

鉤一般連接特性1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis1.Main對話框模型>邊界條件>一般連接特性值LinearProperties

:輸入線性彈簧的剛度以及阻尼

EffectiveStiffness

:有效剛度

EffectiveDamping:有效阻尼NonlinearProperties

:定義非線性特性LRBIsolatorModeling

:LinearProperties1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisLRB隔離器建模

:線形特性-有效剛度1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis2.非線性特性對話框Stiffness(k)

彈簧屈服之前的初始剛度YieldStrength(Fy)

彈簧的屈服強度PostYieldStiffnessRatio(r)

屈服后的切線剛度除屈服前初始剛度的比值HystereticLoopParameter(α)決定恢復力曲線形狀的參數(shù)HystereticLoopParameter(β)

決定恢復力曲線形狀的參數(shù)|α|+|β|=1.0LRBIsolatorModeling

:非線性特性1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisα,β:屈服后的滯回曲線參數(shù)

α+β>0:軟化體系

α+β<0:硬化體系*.|α|+|β|=0因滯回曲線消耗的能量

:閉合曲線的面積越大消耗的越大SAP2000程序中plastic1,isolator1,2的α,β=0.5為定值α=0.9,β=0.1α=0.1,β=0.9α=0.5,β=0.5α=0.25,β=-0.75LRBIsolatorModeling

:滯回循環(huán)參數(shù)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisStiffness(k)

滑動前剛度FrictionCoefficient,Slow(μs)

變形速度慢時的摩擦系數(shù)FrictionCoefficient,Fast(μf)

變形速度快時的摩擦系數(shù)RateParameter(r)

對應于變形速度的決定摩擦系數(shù)變化率的參數(shù)RadiusofSlidingSurface(R)

摩擦面的曲率半徑HystereticLoopParameter(α)

決定滯回曲線的參數(shù)HystereticLoopParameter(β)

決定滯回曲線的參數(shù)|α|+|β|=1.0FrictionPendulumSystemIsolator

:NoninearProperties1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis.模型>結構類型

.模型>質量>節(jié)點質量.模型>質量>將荷載轉換成質量質量輸入1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis時程函數(shù):荷載>時程分析數(shù)據(jù)>時程荷載函數(shù)定義時程函數(shù)

1)用戶定義

2)地震波數(shù)據(jù)庫

:32種地震荷載

3)導入

外部數(shù)據(jù)導入示例fn.thd.*UNIT,M,KN*TYPE,ACCEL*DATA0.0000,-0.00470.0200,-0.00570.0400,-0.00700.0600,-0.00840.0800,-0.00610.1000,-0.00630.1200,-0.0090時程函數(shù)#11.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis時程函數(shù)#21.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis重力荷載1)AnalysisMethodModalAnalysis(振型疊加法)DirectIntegration（直接積分法）2)TimeHistoryType

Transient:（瞬態(tài)）單次加載，地震荷載

Periodic:（周期）

按周期重復加載，機械振動3)EndTime:分析時間4)TimeIncrement:分析時間步長5)StepNumberIncrementforOutput:輸出結果的子步數(shù)增量6)OrderinSequentialLoading:連續(xù)施加的動力荷載加載順序7)DampingMethod（阻尼計算方法）時程荷載工況#11.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis時程荷載工況#2迭代控制1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis

非線性分析控制參數(shù)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis√ConvergenceCheck √FullNewtonRaphsonMethod基礎隔離結構結果#1屋頂絕對加速度固定支座結構屋頂位移屋頂絕對加速度屋頂位移基礎隔離后結構1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎隔離結構結果#2固定支座結構屋頂位移:頻率響應基礎隔離后結果F=0.562HzT=1.78secF=0.940HzT=1.06sec屋頂位移:頻率響應特征值分析結果特征值分析結果1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎隔離結構結果#3StoryDrift固定支座結構隔離結構1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎隔離結構結果#4固定支座結構1st

柱剪力基礎隔離后結果1st

柱剪力1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎隔離結構結果#5滯回曲線:鉛芯橡膠支座1stColumnShearForce1stColumnShearForce滯回曲線:摩擦擺隔震1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis1.Introduction

2.BoundaryNonlinearAnalysis

3.InelasticDynamicAnalysis

4.HysteresisModel

5.FiberModel

Runge-KuttaMethod

:StepsizeSub-DivisionControlMIDAS程序邊界非線形分析指導方針執(zhí)行迭代非線性振型疊加法非線形直接積分時間步長:?t<0.005sec一般連接有效剛度特征值分析阻尼模型動力方程有效剛度1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis51非彈性動力分析MIDAS程序的直接積分法時程分析√

有效荷載:√

有效剛度:StaticSolver(Sky-line/Multi-frontal)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis非線性動力平衡方程線性振動非線性振動非彈性振動線性:非線性:1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis鋼筋混凝土結構非線性響應分析.自由集中度整體模型離散有限元模型.集中鉸模型.分布鉸模型

.

纖維模型非彈性鉸纖維區(qū)細部分析的有限元模型SmearedCrackModel有限元網(wǎng)格MIDAS1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis帶分布鉸的非彈性梁-高斯積分點(1-20)-精確的力分布函數(shù)-沒用到形函數(shù)（近視值）:精確的截面力差值函數(shù):x處的截面柔度矩陣

:單元柔度矩陣dxdxx.柔度矩陣.剛度矩陣1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis帶集中鉸的非彈性梁EIfAfBLwhere.柔度矩陣.剛度矩陣1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis屈服強度的自動計算非彈性梁的屈服強度鋼結構與SRC結構的屈服強度

RC與SRC結構的屈服強度

1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis滯回模型

實驗結果滯回模型【Takeda（武田）模型】PD1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisTakeda（武田）滯回法則第二屈服前卸載第二屈服后卸載1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisTakeda（武田）滯回模型證明單自由度彈簧模型第二屈服模型基準程序Dyna2E:CRCSolution,JAPANTDAP-III:ArcI.S.&DaiseiKensetsu,JAPANRESP-T:KKE,JAPAN第一屈服模型1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisDegradingHysteresisModel(RC??)TakedaTetralinear修正后TakedaCloughDegradingTri-linear1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis簡化后滯回模型NormalBi-linear隨動硬化Origin-OrientedPeak-Oriented1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis非線性彈性，滑動和特殊模型非線性彈性SlipRambergOsgoodHardin-Drnevich1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis屈服曲面(軸力和彎矩聯(lián)合作用)鋼結構和SRC的屈服強度RC和SRC結構的屈服強度

1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis屈服曲面近似值(RC類型)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis

強度計算中的P-M聯(lián)合作用

MC:1stYieldMomentMY:2ndYieldMomentS:InitialLoadingPoint1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis時程荷載工況

:P-M聯(lián)合作用自重荷載:靜力荷載地震荷載:動力荷載1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis

時程荷載工況–按次序加載幾何剛度矩陣1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis屈服曲面(軸力和彎矩聯(lián)合作用)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis多軸力鉸的P-M-M聯(lián)合作用KinematicHardeningonMroz’srule1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryN