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    Selec t ion, Sc al ing And Sim ulat ion Of InputSelec t ion, Sc al ing And Sim ulat ion Of InputGround Mot ion For T im e His t ory Analys isGround Mot ion For T im e His t ory Analys is

    Of St ruc t uresOf St ruc t ures

    YASIN M. FAHJ AN

    Department of Earthquake and Structural SciencesGebze Institute of Technology, Gebze, Kocaeli, Turkey

    fahjan@gy t e.edu .t r

    Univers idade do MinhoDepar t am ent o de Engenhar ia Civi l

    SEMINAR AND LUNCH ON EARTHQUAK EENGINEERIN G AND HISTORIC MA SONRY

    J uly 12, 2010

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    OUTLINEOUTLINES OF THE SEMINERS OF THE SEMINER

    Sei sm i c An alys es of St r uc t ur es

    Source o f Ac c e le rogram s

    Selec t ion o f T im e His tory Rec ords

    Met hods o f Ground Mot ion Sc a l ing o f

    Ear thquak e T im e H is to r ies

    Cr i t er ia for Evaluat ion of Resul t ed

    Acce le rograms

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    St a t i c Equiva lent Method

    (Spect ra l Acc e lera t ion a t Fi rs t Nat ura l Per iod o f St ruc t ure )

    INPUT MOTIONS FOR EARTHQUAK EINPUT MOTIONS FOR EARTHQUAK E

    STRCUTURAL ANALYSESSTRCUTURAL ANALYSES

    Classical Earthquake Resistant DesignsClassical Earthquake Resistant Designs

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    Modal Com b inat i on Met h od

    (Spect ra l Acc e lera t ion a t a l l Ef fec t ive Natura l Per iods o f St ruc t ure )

    INPUT MOTIONS FOR EARTHQUAK EINPUT MOTIONS FOR EARTHQUAK E

    STRCUTURAL ANALYSESSTRCUTURAL ANALYSES

    Classical Earthquake Resistant DesignsClassical Earthquake Resistant Designs

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    HOW TOHOW TO GETGET DESIGN SPECTRUMDESIGN SPECTRUM ??

    Ear t h quak e Des ig n Codes (NEHRP 1997 , IBC2003 ,Eu roCode 8 )

    Det e rm i nis t i c an d Probab il is t i c Hazard Analys is

    T0 TS 1.0

    SM1

    SMS

    Sa=SM1/ T

    Period

    Sa

    0.4 SMS

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    Li nea r Dyna m ic (Acc e lera t i on T ime H is to ry )

    INPUT MOTIONS FOR EARTHQUAK EINPUT MOTIONS FOR EARTHQUAK E

    STRCUTURAL ANALYSESSTRCUTURAL ANALYSES

    Time Domain AnalysesTime Domain Analyses

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    Nonl inear Dynam ic (Acc e lera t i on T im e H ist o ry )

    INPUT MOTIONS FOR EARTHQUAK EINPUT MOTIONS FOR EARTHQUAK E

    STRCUTURAL ANALYSESSTRCUTURAL ANALYSES

    Time Domain AnalysesTime Domain Analyses

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    SOURCE OF ACCELEROGRAM SSOURCE OF ACCELEROGRAMS

    Real Ac c e le rogram s

    Ar t i f ic ial Acc e lerograms

    Syn t he t ic Ac c ele ro gra m s

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    FACTORS INFLUENCINGFACTORS IN FLUENCING REALREAL

    ACCELEROGRAMSACCELEROGRAMS

    Source

    Magni tude

    Rupt ure Mec han ism

    Di rec t i v i t y

    Foc al Dept h

    Path Crusta l St ruc t ure

    Si te

    Surfac e Geology

    Topography

    St ruc tu res

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    RULES FOR SCALIN G TIME HISTORIES ACCORDIN GRULES FOR SCALIN G TIME HISTORIES ACCORDIN G

    TO FIT DESIGN CODE SPECTURMTO FIT DESIGN CODE SPECTURM

    Guidance On How To Ac t ua ll y Se lec t Approp ri ate Rea l

    Rec ords Is Usual ly Foc used On Com pat ib i l i t y Wi t h

    The Response Spec t rum Rat her Than Seism ologic a lParameters

    UBC 1997 A nd IBC 2000

    Max imumSt ruc t ura l Response I f ThreeRec ords Used

    AverageSt ruc t ura l Response I f SevenRec ords Used

    (SRSS) Of The Tw o Hor izont a l Com ponents Shou ld

    Not Be Less Than 1.4 The Des ign Spec t rum Ordinat es

    In The Range From 0.2T To 1.5T (UBC 1997 )

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    RULES FOR SCALIN G TIM E HISTORIES ACCORDIN GRULES FOR SCALIN G TIM E HISTORIES ACCORDIN G

    TO FIT DESIGN CODE SPECTURMTO FIT DESIGN CODE SPECTU RM

    Sc aled Spec t rum Should Not Be Less Than 0.9 The

    Design Spec t rum Ordinat es In The Range From 0.2T1 To

    2T1 (DBYBHY 2007); T1 is t he f i rs t fundam ent a l Per iod of

    the St ruc t u re Eart hquak e Rec ord durat ion > 5 T1 and > 15 sec

    T10.2 T1 2 T1

    > 5 T1

    > 15 sec

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    Ground Mot ion Sc al ing

    in T ime Dom ain

    Spec t ra l Mat c h ing in

    Frequenc y Dom ain

    Spec t ra l Matc h ing by

    Wavlets

    Spec t rum Compat ib le

    Ar t i f i c ia l Rec ord

    Generat ion

    Proc ess ing Of Ground M ot ion To Fi tProc essin g Of Ground Mot ion To Fi t

    Response Spec t ra (Response Spec t ra (Real and Ar t i f i c ia lRea l and Ar t i f i c ia l

    Acce le rogramsAcce le rograms))

    Bommer & Acevedo 2004

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    REAL ACCELEROGRAMSREAL ACCELEROGRAMS

    Advantages

    Ground-m ot ion Charac t er i s t i c s (Ampl i t ude,

    Frequenc y And Energy Cont ent , Durat ion And

    Phase Charac t er i s t i c s )

    Charac t er is t ic s Of The Sourc e, Pat h And Si t e

    Disadvantages Not A l l Magn i tude-

    Distance-Soi l

    Com binat ions Are

    Covered Response Spec t ra Are

    Genera l ly Not Sm oot hed.

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    PEER WEBSIT E 2PEER WEBSIT E 2

    http://peer.berkeley.edu/smcat

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    PEER STRONG MOTION DATAB ASEPEER STRONG MOTION DATA BA SE

    Foc a l Mec hanismSt r ik e s l ip, Norm al, Reverse norm al, Reverse-obl iqu e,

    Normal-obl ique

    Magnit ude (ML, M, MS)

    Dist anc e t o Faul tClosest , Hypoc ent ra l , Pro jec t ion of fau l t p lane

    Si t e Classi f i ca t i on and Mapped Loca l

    Geology

    Inst rum ent Hous ingFree-f ie ld , she l ter Type

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    GROUND MOTION SCAL ING IN TIME DOMAINGROUND MOTION SCAL ING IN TIME DOMAIN

    Nikolaou, 1998

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    DEVELOPMENT OF DISPLACEMENTDEVELOPMENT OF DISPLACEMENT

    RESPONSE SPECTRUMRESPONSE SPECTRUM

    FEMA 451

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    GROUND MOTION SCAL INGGROUND MOTION SCAL ING

    IN TIME DOMAI NIN TIME DOMAIN ((SCAL ING ON AMPLITUDE)SCAL ING ON AMPLITUDE)

    Matc h t o Peak GroundAc c elerat ion (PGA)

    Matc h Spec t ra l Acce le ra t ion

    at Spec i f ic Per iod

    Cimellaro 2007

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    SCALING ON AMPLITUDESCALING ON AMPLITUDE

    Matc h Spec t ra l Acc e le ra t ion

    At Per iod Range usingleas t square Method

    Matc h Mu l t ip le Mot ions

    mat ch t he med ian usingLeast Square Met hod

    Cimellaro 2007

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    TI ME SCAL ED EARTHQUAK E RECORDSTIME SCAL ED EARTHQUAK E RECORDS

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    SCAL E IN FREQUENCY DOMA INSCALE IN FREQUENCY DOMAI N

    Nikolaou, 1998

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    Nikolaou, 1998

    SCALE IN FREQUENCY DOMAINSCALE IN FREQUENCY DOMAI N ((con tcon t .).)

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    SCAL E IN FREQUENCY DOMA INSCALE IN FREQUENCY DOMA IN

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    SCALE IN FREQUENCY DOMA INSCALE IN FREQUENCY DOMA IN

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    SPECTRAL MATCHI NGSPECTRAL MATCHING USING WAVELETSUSING WAVELETS

    Adjus t t he o r ig ina l record i te ra t i ve ly i n t he t ime

    domain to ach ieve c ompat ib il i t y w i th a spec i f ied

    t a rget acc e lera t i on response spec t rum by adding

    w ave let s hav ing spec i f ied per iod ranges and l im i t ed

    dura t ions to t he inpu t t ime h i s to ry .

    RSPMATCH sof t w are developed by Abraham son

    (1992 )

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    L is t o f c and ida te ear t hquak e records usedL is t o f c and ida te ear t hquak e records usedforfor RSPMatchRSPMatch

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    Ac c e le ra t ion , Ve loc i t y And Displacem entAc c e le ra t ion , Ve loc i t y And Disp lac em ent

    Spec t ra ForSpec t ra For RSPMATCHRSPMATCH Generat ed Rec ordsGenerat ed Rec ords

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    DISCUSSIONS and CONCLUSIONSDISCUSSIONS and CONCLUSIONS

    RSPMatc h program requ i res a se t o f eart hquake records

    t ha t in i t ia l l y have considerable com pat ib i l it y w i th t he

    ta rget spec t rum. The mat c h ing procedure is not robust

    and program request s a lo t o f param eters re la ted t o

    add i t iona l w ave le t i te ra t ions . The c onvergence is not

    guaranteed for many cand idate rec ords .

    The average o f , acc e lera t ion ve loc i t y and d isplacem ent

    spec t ra for the m atc hed records us ing RSPMatc h have

    exc e l len t f i t w i th t he design spec t ra .

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    ARTIFICIAL ACCELEROGRAMSARTIFICIAL ACCELEROGRAMS

    Generat ed To Matc h A Target Response

    Spect rum

    Eart hquak e Mot ion As The Out put From

    Fi l t ers And Use Of Syst em Response For

    A Whi t e Noise Input

    Disadvantages

    Rec ords General ly Have An Exc ess iveNum ber Of Cyc les Of St rong Mot ion,

    And Consequent ly Have Unreal is t ic a l ly

    High Energy Cont ent

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    SPECTRUM COMPATIBLE ARTIFICIAL RECORDSPECTRUM COMPATIBLE ARTIFICIAL RECORD

    GENERATION (GENERATION (SIMQKESIMQKE ))

    SIMQKE (Gaspar in i and Vanmarc k e , 1976)

    c omput es a pow er spec t ra l dens i t y func t ion f rom a

    spec i f ied sm oot h response spec t rum and uses t h isfunc t ion to der ive the am pl i tudes o f s inuso ida l

    s ignals w h ich have random phase ang les un i fo rmly

    d ist r i but ed bet w een 0 and 2. The s inus oidal

    m ot ions a re sum m ed to genera te a t ime h i s to ryrecord

    In o rder to ge t o ther c harac t e r is t i c s o f a rt i f ic i a l

    spec t rum -c om pat ib le rec ord , such as dura t ion , i t i s

    necessary t o ob t a in supp lem entary i n format ionabout t he ex pec t ed ear thquake m ot ion apar t f rom

    t he response spec t rum.

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    SPECTRUM COMPATIBLE ARTIFICIAL RECORDSPECTRUM COMPATIBLE ARTIFICIAL RECORD

    GENERATION (GENERATION (TARSCTHSTARSCTHS ))

    The c ode TARSCTHS (Papageorgiou et a l ., 2002)

    uses non-s ta t i onary s toc hast i c vec t o r p rocesses t ogenerat e ar t i f i c ia l t im e h ist or ies f rom a user

    def ined e las t i c response spec t rum . The it e ra t i ve

    schem e i s appl i ed in f requenc y domain w here the

    phase angles o f the des i red m ot ion are random lygenerat ed Ground Mot ion Sc al ing in T im e Dom ain

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    Ac c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra AndAc c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra And

    Duc t i l i t y Dem and ForDuc t i l i t y Dem and For SIMQK E Genera t ed Rec ordsSIMQKE Genera t ed Rec ords

    Trapezo ida l in tens i ty enve lope w i th ear thquake r ise t ime=2.5 sec ,ear thquake leve l t im e=12sec , des i red dura t ion o f acc e le ra t ion=35sec and

    des i red max imum ground acc e le ra t ion = 0.3 g

    f i l t ered (0.1-20Hz)and basel ine

    cor rected

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    SPECTRUM COMPATIBLE ARTIFICIALSPECTRUM COMPATIBLE ARTIFICIAL

    RECORD GENERATIONRECORD GENERATION

    Using e i ther TARSCTHS or SIMQKE, t he average of

    genera ted records acc e lera t ion , ve loc i t y and

    d isp lac ement spec t ra have inadequate f i t t i ng for

    longer per iods.

    For opt ion w i t h no envelope in SIMQK E, non-real is t ic

    records t ha t do no t represen t t he genera lc harac t e r is t i c s o f rea l ear thquakes a re genera ted .

    Even though t he unf il t e red t im e h is tor ies have the

    same f i t fo r t he des ign spec t rum as f i l t e red t ime

    h is tor ies , unrea l is t i c non l inear behav ior c an beobserv ed for t he val id p er iod r ange (0.1s-10s).

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    SYNTH ETIC ACCELEROGRAMSSYNTHETIC ACCELEROGRAMS

    St oc hast ic Point Sourc e and Fin i t e Sourc e ((Boore, 2003;

    At k inson and Boore, 1997)

    Synt hes ize Ear t hquak e Mot ion Us ing A Faul t Dis loc at ion

    Model Or Em pir ic a l Greens Func t ion Model Def in i t ion Of A Spec i f ic Ear t hquak e Sc enar io

    Most Wide ly used EMPSYN Program L. Hutc h ings (1976)

    Geophys ic a l Param et ers

    Hypocenter Seismic Moment Sl ip Vec t or Asper i t ies Rupture Ve loc i t y

    Rise T im e St ress Drop

    Philippe Rosset, Jean-Jacques Wagner (2000)

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    CRETERIA FOR EVALUA TI ONCRETERIA FOR EVALU AT ION THE RESULTINGTHE RESULTING

    ACCELEROGRAMSACCELEROGRAMS

    Resu lt i ng acc e le rogram s m ust have rea l i s t i c

    cha rac te r i s t i cs of ear thquak es in te rm s o f

    am pl i tude , f requenc y c onten t and dura t ion .

    A basel ine cor rec t ion and f i l t e r ing should be

    per fo rm ed t o the generat ed or mat c hed

    acc e lera t ion t im e h ist o r ies .

    The ac c e le ra t ion , ve loc i t y and displacem ent

    t im e h ist o r ies shou ld be ex am ined to ensure

    t ha t t hey a re reasonably c lose t o t he ta rge t

    va lues in te rm s o f peak va lues , w ave form ,s t rong shak ing durat ion and o t her c r i t i c a l

    feat ures such as t he near -fau l t ve loc i t y pu lse

    CRETERIA FOR EVALUATI ONCRETERIA FOR EVALUATI ON THE RESULTINGTHE RESULTING

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    CRETERIA FOR EVALUATI ONCRETERIA FOR EVALUATI ON THE RESULTINGTHE RESULTING

    ACCELEROGRAMSACCELEROGRAMS

    Pow er spec t ra l dens i ty func t ion shou ld be

    ex am ined to ensure a board dis t r ibu t ion o f

    energy in the f ina l spec t rum -c om pat ib le

    m ot ion as a func t ion o f Four ier per iod and

    t here are no sign if i can t de f ic ienc ies in t he

    energy a t pe riods impor tan t t o t he st ruc t u re

    In rea l ear thquak e rec ords, average of t he

    duc t i l i t y fac t o r is ex pec t ed to be equa l t o

    s t ruc t u ra l behavio r fac t o r a t longer periods

    (equal d isplacem ent ru le) espec ia l ly forve loc i t y and d isp lac em ent sens it i ve spec t ra l

    reg ions (Chop ra, 2000).

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    Real is t i c Ac c e le ra t ion , Ve loc i t y andRea l is t i c Ac c e le ra t ion , Ve loc i t y and

    Disp lacementDisp lacement

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    Ac c e lera t ion , Ve loc i t y And Disp lac em ent Spect ra AndAc c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra And

    Duc t i l i t y Dem and ForDuc t i l i t y Dem and For T ime Sc a led Rec ordsT ime Sc a led Rec ords

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    Ac c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra AndAc c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra And

    Duc t i l i t y Dem and ForDuc t i l i t y Dem and For SIMQK E Genera t ed Rec ordsSIMQKE Genera t ed Rec ords

    Trapezo ida l in tens i ty enve lope w i th ear thquake r ise t ime=2.5 sec ,ear thquake leve l t im e=12sec , des i red dura t ion o f acc e le ra t ion=35sec and

    des i red max imum ground acc e le ra t ion = 0.3 g

    f i l t ered (0.1-20Hz)and basel ine

    cor rected

    Ac c e lera t ion Veloc i t y And Disp lac em ent Spec t ra AndAc c e lera t ion Veloc i t y And Disp lac em ent Spec t ra And

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    Ac c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra AndAc c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra And

    Duc t i l i t y Dem and ForDuc t i l i t y Dem and For TARSCTH Generat ed Rec ordsTARSCTH Generat ed Rec ords

    f i l t ered (0.1-20Hz)and basel ine

    cor rected

    TARSCTHS program requ i res mom ent m agni t ude and ep ic entr a ld is tance o f scenar io ear thquake to c omput e dura t ion

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    Ac c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra AndAc c e lera t ion , Ve loc i t y And Disp lac em ent Spec t ra And

    Duc t i l i t y Dem and ForDuc t i l i t y Dem and For RSPMATCH Genera t ed Rec ordsRSPMATCH Genera t ed Rec ords

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    THANK YOUTHANK YOU