2008.10.13MIDAS下的非線形動(dòng)力分析

邁達(dá)斯程序的非線形動(dòng)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(jié)構(gòu)分析243彈塑性動(dòng)力分析5內(nèi)容11基礎(chǔ)隔振控制

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

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

-財(cái)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(shí)46分-Magnitude:ML=7.2-死亡人數(shù)

:5,373人-受災(zāi)人數(shù):約32,000人-財(cái)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(hù)措施強(qiáng)度基礎(chǔ)的隔離與震動(dòng)控制新抗震設(shè)計(jì)地震新概念設(shè)計(jì)延性

+

對(duì)舊抗震規(guī)范提出安全性疑問(wèn)

開(kāi)發(fā)新抗震設(shè)計(jì)方法論

預(yù)測(cè)結(jié)構(gòu)物確實(shí)效應(yīng)

+確保抗震性能

評(píng)測(cè)已有結(jié)構(gòu)的抗震性能抗震性能設(shè)計(jì)

為了能夠精確計(jì)算出結(jié)構(gòu)的實(shí)際地震效應(yīng)，采用非線性地震分析

結(jié)構(gòu)自身能力與抗震需求的比較結(jié)構(gòu)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(yīng)分析等效靜力分析地震響應(yīng)分析設(shè)計(jì)反應(yīng)譜Pushover分析靜力分析

動(dòng)力分析時(shí)程分析模態(tài)分析線形分析非線形分析非線性動(dòng)力分析基礎(chǔ)的隔離與振動(dòng)控制分析1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis

MIDAS的非線性動(dòng)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(shí)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(dòng)力分析1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎(chǔ)隔震控制21常規(guī)抗震設(shè)計(jì)抗震建筑結(jié)構(gòu)的常規(guī)設(shè)計(jì)常規(guī)抗震設(shè)計(jì)結(jié)構(gòu):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(chǔ)的隔離與振動(dòng)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(chǔ)隔離與振動(dòng)控制隔離/阻尼非彈性行為易更換或不需要更換結(jié)構(gòu):近似彈性行為低維修成本或不需要維修能力保護(hù)措施基礎(chǔ)隔離被動(dòng)振動(dòng)控制1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎(chǔ)隔離概念固定支座:加速度響應(yīng)基礎(chǔ)隔離后:加速度響應(yīng)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎(chǔ)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(yīng)譜周期擬加速度反應(yīng)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(fēng)

變形恢復(fù)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(yīng)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(dòng)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(dòng)滑動(dòng)擺動(dòng)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisFPS應(yīng)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(yīng)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(guò)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(jiǎn)述fN,fN:非線性彈簧，非線性力

,fL:等效剛度，等效力pfLfNfL應(yīng)用振型疊加p

適用于結(jié)構(gòu)的一部分有非線性特性的情況

將非線性單元轉(zhuǎn)換成線性彈性

非線性效果將非線性構(gòu)件內(nèi)力轉(zhuǎn)換為外力來(lái)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(shí)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(dòng)力荷載,fN:Nonlinearspring&force,fL:Effectivestiffness&forcefNfLfLppppfLfNfLfNfLfNpfNfLfLfL應(yīng)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(jiǎn)述隔離器/阻尼器:非彈性行為結(jié)構(gòu)::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(jiǎn)述隔離

器/阻尼器:非彈性行為結(jié)構(gòu)::近似

彈性行為.有效剛度:常量.非線形恢復(fù)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(yīng)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(yīng)譜彈性---彈性-彈性-線形時(shí)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(shí)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(yīng)變能比2)質(zhì)量&剛度比&單元質(zhì)量&剛度比:阻尼矩陣

應(yīng)變能比

:模態(tài)阻尼比

一般連接的節(jié)點(diǎn)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(jié)構(gòu)有效剛度下的穩(wěn)定帶隔離類型的非線性連接結(jié)構(gòu)有效剛度的測(cè)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(dòng)振動(dòng)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(dòng)振動(dòng)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(dòng)振動(dòng)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(dòng)振動(dòng)控制滯回曲線彈簧參數(shù)k

初始剛度Fy:屈服強(qiáng)度r:桿件屈服強(qiáng)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(qiáng)度

ry,rz :桿件屈服強(qiáng)度比

α,β :滯回環(huán)形狀參數(shù)LRB的力與位移關(guān)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(dòng)前滑動(dòng)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(dòng)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(wèn)題-歐拉計(jì)算方法-修正后歐拉計(jì)算方法-Runge-Kutta計(jì)算方法ODE計(jì)算方法1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis歐拉計(jì)算方法Tylor展開(kāi)Where,1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisRunge-Kutta計(jì)算方法.歐拉計(jì)算方法:1階.修正后歐拉計(jì)算方法:2階.RungeKutta計(jì)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(zhǎng)控制自適應(yīng)步長(zhǎng)控制1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisRunge-KuttaMethod

:自適應(yīng)步長(zhǎng)控制基本數(shù)據(jù):1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisRunge-KuttaMethod

:自適應(yīng)步長(zhǎng)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(zhǎng)控制1stiter:2nditer:3rditer:4thiter:1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysisAnalysisofIsolatedStructure14LRBFPS建筑基礎(chǔ)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(duì)話框模型>邊界條件>一般連接特性值A(chǔ)pplicationType:非線性連接單元的作用類型

ElementType:直接更新單元?jiǎng)偠染仃噥?lái)反映非線性。

ForceType:根據(jù)非線性的特性計(jì)算出來(lái)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(duì)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(duì)話框Stiffness(k)

彈簧屈服之前的初始剛度YieldStrength(Fy)

彈簧的屈服強(qiáng)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(fù)力曲線形狀的參數(shù)HystereticLoopParameter(β)

決定恢復(fù)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(dòng)前剛度FrictionCoefficient,Slow(μs)

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

變形速度快時(shí)的摩擦系數(shù)RateParameter(r)

對(duì)應(yīng)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(jié)構(gòu)類型

.模型>質(zhì)量>節(jié)點(diǎn)質(zhì)量.模型>質(zhì)量>將荷載轉(zhuǎn)換成質(zhì)量質(zhì)量輸入1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

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

1)用戶定義

2)地震波數(shù)據(jù)庫(kù)

:32種地震荷載

3)導(dǎo)入

外部數(shù)據(jù)導(dǎo)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(shí)程函數(shù)#11.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis時(shí)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(fù)加載，機(jī)械振動(dòng)3)EndTime:分析時(shí)間4)TimeIncrement:分析時(shí)間步長(zhǎng)5)StepNumberIncrementforOutput:輸出結(jié)果的子步數(shù)增量6)OrderinSequentialLoading:連續(xù)施加的動(dòng)力荷載加載順序7)DampingMethod（阻尼計(jì)算方法）時(shí)程荷載工況#11.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis時(shí)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(chǔ)隔離結(jié)構(gòu)結(jié)果#1屋頂絕對(duì)加速度固定支座結(jié)構(gòu)屋頂位移屋頂絕對(duì)加速度屋頂位移基礎(chǔ)隔離后結(jié)構(gòu)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎(chǔ)隔離結(jié)構(gòu)結(jié)果#2固定支座結(jié)構(gòu)屋頂位移:頻率響應(yīng)基礎(chǔ)隔離后結(jié)果F=0.562HzT=1.78secF=0.940HzT=1.06sec屋頂位移:頻率響應(yīng)特征值分析結(jié)果特征值分析結(jié)果1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎(chǔ)隔離結(jié)構(gòu)結(jié)果#3StoryDrift固定支座結(jié)構(gòu)隔離結(jié)構(gòu)1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎(chǔ)隔離結(jié)構(gòu)結(jié)果#4固定支座結(jié)構(gòu)1st

柱剪力基礎(chǔ)隔離后結(jié)果1st

柱剪力1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis基礎(chǔ)隔離結(jié)構(gòu)結(jié)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(dǎo)方針執(zhí)行迭代非線性振型疊加法非線形直接積分時(shí)間步長(zhǎng):?t<0.005sec一般連接有效剛度特征值分析阻尼模型動(dòng)力方程有效剛度1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis51非彈性動(dòng)力分析MIDAS程序的直接積分法時(shí)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(dòng)力平衡方程線性振動(dòng)非線性振動(dòng)非彈性振動(dòng)線性:非線性:1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis鋼筋混凝土結(jié)構(gòu)非線性響應(yīng)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(xì)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(diǎn)(1-20)-精確的力分布函數(shù)-沒(méi)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(qiáng)度的自動(dòng)計(jì)算非彈性梁的屈服強(qiáng)度鋼結(jié)構(gòu)與SRC結(jié)構(gòu)的屈服強(qiáng)度

RC與SRC結(jié)構(gòu)的屈服強(qiáng)度

1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis滯回模型

實(shí)驗(yàn)結(jié)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(zhǔn)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(jiǎn)化后滯回模型NormalBi-linear隨動(dòng)硬化Origin-OrientedPeak-Oriented1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis非線性彈性，滑動(dòng)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(jié)構(gòu)和SRC的屈服強(qiáng)度RC和SRC結(jié)構(gòu)的屈服強(qiáng)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(qiáng)度計(jì)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(shí)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(dòng)力荷載1.Introduction

2.BaseIsolation&Vib.Control

3.BoundaryNonlinearAnalysis

4.AnalysisofIsolatedStruc.

5.InelasticDynamicAnalysis

時(shí)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