Response prediction and parameter identification for base-isolated buildings with limited sensors

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1 Rpo prdco d prr dco or b-old buldg wh ld or. Zhou.G. h G.W. Rodgr A. ug & S. Guchd Dpr o Mchcl Egrg Uvry o rbury hrchurch. Xu School o Arouc Norhwr olychcl Uvry X h 5 NZSEE orc ABSTRAT: Th rrch vg h hod o prr dco or bold buldg wh ld ubr o or. Th b-old uprrucur codrd prd ubrucur ro h olo lyr h h h url rqucy o h buldg wy ro h do rqucy copo o h groud oo d hu odlld hr yp lr odl. Th rucurl rpo or h urcordd loor r r prdcd ug y o ulou lr quo wh ukow prr prd. Th Gu-Nwo lgorh whch bd o olvg quc o lrzo l qur pproo o h olr l qur probl ployd o dy h ory d Rylgh dpg coc o h rucur. Th prorc d robu o h propod dco hod dord ug uld rucur d dr l gu boh wh d whou ddd o. Th urcl rul how h h d ory d dpg coc covrg o h c vlu ug dr l gu whou ur o d r robu o o wh h vrg rror wh 6% v wh % ddd o. Flly h d rpo or urcordd loor r coprd o h ru rpo. Th rul dc h h hod cpbl o prdcg h rucurl rpo o h b-old buldg ccurly ug ld or. INTRODUTION Th olo o rucur ro h groud oo cv wy o proc h rucur ro dg rog rhquk. Th bc cocp o b olo o provd low lrl bw h rucur d h oudo o lgh h ur prod o h buldg ro db vlu ovg h prod wy ro h do prod o h c groud oo. Thu h ro o h rhquk oo d orc o h uprrucur o h old buldg c b gcly rducd. Succul ld prorc o b old buldg w r rcordd d vldd h Uvry o Souh lor Hopl buldg durg h 99 Norhrdg rhquk Ngrjh d Su. Du o h ld rubbr brg olo y pk roo cclro w rducd o 5% o h oudo cclro d h pk dr o h uprrucur w l h % o h cod pcco. Th urd rpo o wo hgh dpg rubbr brg old buldg Myg d hb p wr vgd durg h Tohoku rhquk Mwd l.. Th udy cord cclro rduco boh buldg d h u cclro h loor bov h old lyr wr %-8% o ho h b. Th rog oo c rcord o Fukuh D-Ich Nuclr owr l wr lo rpord h Gr E p rhquk Hjk l.. Th b old rucur prord wll horzol oo wh h rpo rducd by % ro h b p. pr Nubr O-

2 A ubr o rrchr hv vgd h y dco hod or b old buldg ug dr y odl. Swr l. 999 dd h rucurl odl prr o our b old buldg ug quvl -vryg lr odl bd o h upo o h uprrucur SODF y d h olo y wh -vryg cv o chrcrz h olo prorc durg h rhquk. Furukw l. 5 propod l qur oupu-rror zo hod o dy b-old buldg cd by h 995 Hyogok-Nbu rhquk p. Th uprrucur w odlld rgd body d h olo y w dd bd o hr dr odl: lr quvl odl blr odl d rlr odl. Rul how h h odl prr c b robly d d h rlr odl b h rcordd rpo hor. Hug l. 9 dvlopd rv rl-d-rror opzo procdur bd o pld blr odl or h b olo y d ul-ory lr odl or h uprrucur. Thy dd h rucurl prr o b old buldg ug Mg crro o ror ul-vlud hyrc rorg orc uco o gl-vlud uco o h ordry opzo hod c b ppld. Xu l. rcly propod wo-p rgro ly procdur o dy h phycl prr o b old rucur. A blr odl w cho or odllg h b olor d h uprrucur w ud gl dgr o rdo y. Th hyr loop w dvdd o dr hl cycl ccordg o h zro vlocy po d ulpl lr rgro w ppld o ho hl cycl o yld quvl lr y d dpg. For ll h y dco hod ky l h choc o propr odl or h b olo y d uprrucur. Th choc prrly bd o h cul or pcd rpo o h buldg d olor d crcl or ccur dco. Sc h old buldg hould b qu rgd copro o h olo y uprrucur rquly ud o b lupd h rduc h copuol or gcly ulkr d gd. Ohrw ul-ory lr odl codrd or h uprrucur ulkr d gd. For h b olo y olr hyrc odl rk l. 986 wdly ud o chrcrz h olr orc-doro bhvour o h ld rubbr brg prcg h lc c rpo pcd by dg Gv d Wlko Mgr d gd 8. Howvr h propr o ld rubbr brg c b odlld ug prg quvl lr horzol h c h h groud oo o vry lrg or h b olo y h o yldg udr h groud hkg h l. 7. Hc h olo lyr rpo y vry ro h pcd prorc or hv rg o bhvour d hu hv gc gv pc o h dd odl ccurcy. hrchurch Wo Hopl WH buldg h oly b old buldg h Souh Ild o Nw Zld. Th prorc o h rud WH buldg w vgd ug h rcordd cclro h oudo r d op lvl durg wo jor rhquk ug l.. Th rul dc h h uprrucur o h buldg do o ppro rgd body gh b pcd. Th b olo y w ll wh h r lr rg d dd o ld o h prod pro o h groud hkg d h buldg durg h v. Thu our dgr o rdo lr hr odl ud or h prr dco o h WH b old buldg wh h cclro rcordd or h r d ourh dgr o rdo wll h groud oo pu h b. I h udy dco hod propod o dy h quvl d Rylgh dpg or h our dgr o rdo lr y. Th rpo or h urcordd dgr o rdo wr d bd o ulou lr quo. A odd Gu-Nwo hod w h ployd o dy h quvl d Rylgh dpg o h y. Th prorc o h propod hod dord d vldd ug uld rucur. Robu vgd ug dr l gu d by ddd % RMS o. 9

3 IDENTIFIATION METHOD Th quo o oo or h b-old buldg ubjc o c co dd: MI g X X X M whr X[ ] T ; h r Mdg ; d h r d Rylgh dpg r r dd: M T Thror h quo o oo or h r d ourh DOF c b dcrbd ug Equo -: g g 5 whr d d g r urd; h vloc d dplc d c b obd by drc gro r bd p lrg Borochk l. hudhry l. Srdhr l. Yg l.. Equo d 5 c h b rwr r o ukow d : 6 7 whr: ; g 8 ; g 9 Th grl oluo or Equo 6 d 7 r: d A d d d B d d For ch p h - - h r r d c b wr ovg vrg:

4 Hc Equo d c b rwr: / / A / / B 5 whr A d B r co drd by l codo -. I - d - r kow ro h pror -p - h h co A d B c b drd ug Equo d 5: A 6 B 7 Th ro Equo -7 h copl or d wh plg rvl h - - r obd rvly gv d o r: h h / / 8 h h / / 9 Thu h dco rror uco c b dd: ε whr h ubr o p; [ ] h prr vcor d dd by zg h rror uco ug Gu-Nwo orul: R T T α whr h ro p α h p lgh d h cob r o : [ ] T ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ whr R h rror r ro : [ ] T R

5 SIMULATION AND VALIDATION ASE STUDY A urcl udy crrd ou o vld h prorc o h propod procdur corolld pl whr vryhg kow. Th pl rucur our dgr o rdo y wh o prr: 89kg 97kg 595kg 89kg 78kN/ kn/ 8kN/ kn/. Th Rylgh dpg coc r.6 d.87 yldg dpg ro o 5% or h r d cod od. Th uld rucur w ubjcd o h El ro rhquk 9. Th y rpo w uld ug Rug u gro hod wh p o.5. Th clculd rpo d w ulzd whou ddd o r or proo o cocp o dco procdur. Fgur how h d covrgc o h propod prr wh dr l gu or - d -. I c b h h l vlu o h d prr covrg o h c vlu wh dr l gu. Thu h dco hod c yld ccur o quvl d dpg coc o h y wh cl ur. Fgur. rr o prorc wh dr l gu vlu.

6 Fgur. opro o h d d ru rpo or h uurd DOF ug l gu % o c prr vlu: d DOF; b rd DOF. Fgur copr h d rpo d ru uld rpo or d ug l gu % o h c rucurl prr vlu. Th d rpo chd wll wh h uld rpo whch dc h hod c yld good o h urcordd rpo or d wh cl o r cclro ur o h r d ourh DOF. To h robu o o % RMS o w ddd o h urd groud d rucurl cclro. Th vlu o h d prr or Mo-rlo ru wh rdo ddd o d dr l gu r how Tbl. Tbl. M d rul wh % RMS o or dr l gu. rr kn/ kn/ kn/ b kn/ Il gu: % o ru vlu Ed vlu Tru vlu Mo-rlo bolu rror.% 6.% 7.5%.7% 8.7% 6.9% Avrg rror o prr 6.6% Il gu: 5% o ru vlu Ed vlu Tru vlu Mo-rlo bolu rror.8%.%.9%.%.%.7% Avrg rror o prr 8.7% Il gu: 5% o ru vlu Ed vlu Tru vlu Mo-rlo bolu rror 8.%.% 7.5% 9.% 8.8% 6.9% Avrg rror o prr.5%

7 Th vrg rror o h d prr 6.6% wh h lrg Mo-rlo rror.7% ug l gu o % o c prr vlu. Howvr h vrg rror o h prr dcr o 8.7% wh h lrg Mo-rlo rror.9% ug l gu o 5% o c vlu d.5% wh h lrg Mo-rlo rror 9.% ug l gu o 5%. Thu h l gu c dco ccurcy wh ur o. Howvr h d rpo ug h d prr how good gr wh h ru rpo or h urcordd DOF v wh % ddd o ug l gu o % o c prr vlu how Fgur. Fgur. opro o h d d ru rpo or h uurd DOF wh % ddd o ug l gu % o c prr vlu: d DOF; b rd DOF. b ONLUSIONS Th rrch dvlop d dco hod or h o o d Rylgh dpg coc o our dgr o rdo hr lr odl h rpr h WH b old buldg. Nurcl proo o cocp d vldo howd h h d rucurl d dpg coc covrg o h c vlu ug dr l gu whou ur o. Th dco rul wh % ddd o how h l gu o h d prr c h dco ccurcy wh ur o. Flly h d rpo chd wll wh h uld ru rpo or h urcordd dgr o rdo v wh ddd o ug l gu o % o h c vlu. Thu h dco procdur cpbl o dyg h d dpg coc d prdcg h urcordd rucurl rpo ccurly or h propod hr lr odl wh ld ubr o or. 5 ANOWLEDGEMENTS Th h Scholrhp oucl No. 669 uppor o h udy grly ckowldgd.

8 6 REFERENES Borochk R.L. Moro M.O. & Srrz M.. Dyc chrcrc o log p c old brdg Egrg Srucur 5: hudhry M.T.A. Ab M. Fujo Y. & Yohd.. Sy dco o wo b-old brdg ug c rcord ourl o Srucurl Egrg 6: h. Lu W. g Y. & L. 7. Sochc c rpo d rlbly ly o b-old rucur ourl o Erhquk Egrg 6: 9-9. Furukw T. Io M. Izw. & Noor M.N. 5. Sy dco o b-old buldg ug c rpo d ourl o grg chc : Gv H.. & Wlko G.. rlry Obrvo o h Ec o h Drld Erhquk o h B-Iold hrchurch Wo' Hopl Bull o h Nw Zld Socy or Erhquk Egrg : Hjk. Tkhh M. Aoyg T. & Mho M.. Bhvor o b old buldg Fukuh D-Ich Nuclr owr l durg h Gr E p Erhquk roc. o h Irol Sypou o Egrg Lo Lrd ro h Gr E p Erhquk Tokyo p pp Hug M.-. Wg Y.-. hg.-r. & h Y.-H. 9. hycl-rr Idco o B- Iold Buldg Ug Bckbo urv ourl o rucurl grg 59: 7-. ug A. Srdhr A. Grv. Guchd S. Rodgr G.W. h.g. Gv H.. Ngbor R. & Mcr G.. hrchurch Wo' Hopl: prorc ly o h b-olo y durg h r o rbury Erhquk - Uvry o rbury hrchurch Nw Zld ulkr.a. & gd R.. Ec o uprrucur lbly o h rpo o b-old rucur Shock d Vbro : -. ulkr.a. & gd R.. Rgd body rpo o b old rucur ourl o rucurl corol 9: Mgr V.A. & gd R. 8. B olo or c rrog o rucur rcc rodcl o Srucurl Dg d oruco : Mwd G. Yohd O. Ihkw R. & Nkur M.. Obrvo rcord o b-old buldg rog oo r durg h O h cc o o Tohuku rhquk roc. o h Irol Sypou o Egrg Lo Lrd ro h Gr E p Erhquk Tokyo p pp. 7-. Ngrjh S. & Su X.. Rpo o b-old US hopl buldg Norhrdg rhquk ourl o rucurl grg 6: rk Y. W Y. & Ag A Rdo vbro o hyrc y udr b drcol groud oo Erhquk grg & rucurl dyc : Srdhr A. ug A. Grv. Guchd S. h.g. Gv H.. Ngbor R.L. Rodgr G.W. & McR G.A.. hrchurch Wo' Hopl: Aly o Murd Erhquk D durg h - hrchurch Erhquk Erhquk Spcr : 8-. Swr.. o.. & Ak I.D Obrvd bhvor o clly old buldg ourl o Srucurl Egrg 59: Xu. h.g. & Rodgr G.W.. hycl prr dco o olr b-old buldg ug c rpo d opur & Srucur 5: Yg.N. L Y. S. & Hug N.. Sy dco o lr rucur bd o Hlbr Hug pcrl ly. r : orl od Erhquk grg & rucurl dyc 9: