EXPERIMENTS AND ANALYSIS OF ROLLER TYPE ISOLATION DEVICE

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3 th World Conferene on Earthquake Engineering Vanouver, BC, Canada ugut 6, 4 Paer No 336 EXPERIMENTS N NLYSIS OF ROLLER TYPE ISOLTION EVICE Satohi UE Takao ENOMOTO Takafui FUJIT 3 SUMMRY Jaan i the

1 3 th World Conferene on Earthquake Engineering Vanouver, BC, Canada ugut 6, 4 Paer No 336 EXPERIMENTS N NLYSIS OF ROLLER TYPE ISOLTION EVICE Satohi UE Takao ENOMOTO Takafui FUJIT 3 SUMMRY Jaan i the ountry where eii iolation i ot widely ued for ivil engineering truture and equient Sine the Hanhinwaji earthquake of 7 January 995, in whih work of art in everal ueu in thi area were daaged, eii iolation in Jaan that inlude eii iolation of ueu building, dilay ae, and individual work of art, together with eii iolation of floor in onervation roo Thi aer alo deribe a roller tye iolation yte for the individual howae and individual work of art The iolation yte onit of two layer that for a XYotion ehani for twodienional horizontal otion; eah layer onit of rail having a irularlinearobined hae in the vertial roetion to rodue a retoring fore, wheel, and fition daer oriing the wheel and the ale Beaue the effetive natural eriod of the yte i indeendent of the a, a long effetive natural eriod an be ahieved even for light equient uh a howae Shake table tet were arried out, howing good iolation erforane of yte and onfiring validity of the analytial ethod INTROUCTION Reently any kind of eii iolation yte for howae of work of art or outer yte are under reearh and develoent Eeially howae of work of art require higher erforane againt earthquake in order to rotet valuable work of art fro any daage Thi aer deribe a roller tye iolation yte whih utilizing two layer of a XYotion ehani having a irularlinearobined hae in the vertial ro etion Reult of threedienional haking table tet by earthquake wave and validity of the analytial odel VNCE SYSTEM CO, LT Tokyo, Jaan Eail: atohiueda@ayoj VNCE SYSTEM CO, LT Tokyo, Jaan Eail: takaoenooto@ayoj 3 Profeor, Intitute of Indutrial Siene, Univerity of Tokyo, JPN Eail: tfujita@iiutokyoaj

CONSTRUCTION Roller tye iolation yte onit of rail having irularlinear obined t and nd tiffne, wheel and ale and lane bearing with PTFE oating XY rail otion ehani enable to aborb iat of horizontal XY

2 CONSTRUCTION Roller tye iolation yte onit of rail having irularlinear obined t and nd tiffne, wheel and ale and lane bearing with PTFE oating XY rail otion ehani enable to aborb iat of horizontal XY diretion when aeleration alied by earthquake by endulu otion with frition between ale and bearing fter earthquake wheel will return to enter of rail by retoring fore Fig how heati drawing of roller tye iolation devie how to late, how wheelfrae,3 a bae late,4 a wheel,5 a bearing,6 a ale and 7 how rail Natural eriod of yte, t and nd tiffne, break load and frition oeffiient an be deterined by bellow forula Here T how natural eriod of the yte, r i radiu of irular rail, k i ring ontant (t tiffne), Pv i vertial load, Qd i breaking load, d i diaeter of ale, i diaeter of wheel, µ i frition oeffiient of bearing i frition oeffiient of yte and θ i inlination of linear rail Fig how onet odel of harateriti of iolation devie Figure Sheati drawing of roller tye iolation devie θ r θ P v d Figure Conet odel of iolation devie T = π r g () k = P () v r Q P µ (3) d = v ( d ) µ (4) µ =

SHKING TBLE TEST (CSE ) nalytial Model Shaking table tet ha been onduted on roller tye iolation yte uorting ueu howae with aroriate weight nalytial odel ha been ettled that total a of oving a of the

3 SHKING TBLE TEST (CSE ) nalytial Model Shaking table tet ha been onduted on roller tye iolation yte uorting ueu howae with aroriate weight nalytial odel ha been ettled that total a of oving a of the yte and weight i onidered a onea odel a Fig3 Here how alitude againt the ground, how total a of oving weight of the iolation yte and weight, z i aeleration of earthquake, k i ring ontant of the yte (t tiffne), k i nd tiffne, i daing oeffiient, how hanging oint of t/nd tiffne X k, k μ & z& X Figure3 nalytial odel Roller tye iolation yte Iolation yte whih deigned for ueu highhowae ha ize of 6 length 9 width 36 height Iolation yte i deigned for eerient a the natural eriod i 68 e, inlination of trait art of rail i 3rad, frition oeffiient i 36, allowable alitude of yte a ±75 Weight of 833 kg i loaded on kg weigh iolation yte Fig4 how drawing of the yte and Fig5 hoto of the yte intalled threedienional haking table Figure4 rawing of the yte Figure5 Tet uing threedienional haking table

4 ynai Equation The equation of iolation devie hall be deried when no rolling ( hae ) and rolling at t tiffne (hae ) alo rolling at nd tiffne(hae 3) Phae (in ae no rolling our) = ont & =, & (5), = Phae (in ae rolling our at t tiffne) & + & + k + gn( & µ g = & z (6) & ) Phae 3 (in ae rolling our at nd tiffne) & + & + { k + k )} gn( ) + µ g gn( & ) = & z (7) l ( l Swithing ondition i deribed a follow In ae Phae Phae k & z > g and < l + µ In ae Phae Phae 3 > (8) l (9) In ae Phae3 Phae < l () In ae Phae Phae & and & () z& < µ g In ae Phae3 Phae z& < µ g = & and & () In ae Phae Phae 3 k = & z > g and > l + µ (3) 4th auray RungeKuttaGill ethod ha been ued for digital analyi of thi equation

5 Inut wave of earthquake 3 kind of earthquake wave a EL Centro (Ierial Valley, 94), Taft(Kern Country,95) and JM Kobe(995) reorded at Hyougo Nanbu earthquake are ued for threedienional haking tet Inut level ha been leveled at 5 [/ level at horizontal and 5 [/ at vertial of ELCentro and Taft wave, Original wave of JM Kobe ha been ued Maiu value of aeleration of eah earthquake i lited at Table Table Cation for table Inut Wave El Centro Taft JM Kobe Horizontal Inut level 5[/ Original Inut iretion Horizontal MX[/ EW 34 NS 5 EW 49 NS 45 EW 67 NS 88 Vertial MX[/ Reult of eerient and analyi Fig 6 how oarion of aiu aeleration and alitude between inut, eaured and analyi reult, it i onfired inut aeleration ha dereaed to level of /4 to /5 Fig7 how tie hitorie of alulated and eaured El Centro EW El Centro NS Taft EW Taft NS JM Kobe EW JM Kobe NS Inut C alulated M eaured [ / El Centro EW El Centro NS Taft EW Taft NS JM Kobe EW JM Kobe NS i[ Figure6 Reone aeleration and dilaeent

6 5 Inut EQ 6 Inut EQ [/ [/ [/ i [/ i [/ [/ [ i ti e [e El Centro EW Inut EQ i [/ [/ [ i tie [e El Centro NS Inut EQ i [ i ti e [e Taft EW Inut EQ 5 [ / [ / [ i i ti e [e JM KOBE EW [ i ti e [e Taft NS Inut EQ 5 [ / [ / [ i i ti e [e JM KOBE NS Calulated Meaured Figure7 Hitorie of alulated and eaured SHKING TBLE TEST (CSE )

Reult of 3 haking tet with real ueu howae and iolation yte i deribed here Monetization of howae and iolation yte ha been tudied for iulation of reone Iolated equient (Mueu howae) Iolated howae ha 9

7 Reult of 3 haking tet with real ueu howae and iolation yte i deribed here Monetization of howae and iolation yte ha been tudied for iulation of reone Iolated equient (Mueu howae) Iolated howae ha 9 quare 7 height ize and 35 kg weight Fig8 how hoto of howae and oition of aeleration enor In order to onfir bai erforane of howae, howae ha been oillated by rando ode at fied ondition Fro thi rando oillation tet, natural frequeny of howae (firt ode) ha been deterined a 69 Hz Fig9 how tranfer funtion of aeleration fro haking table to dilay oint and one fro haking table to to of howae Y X To of Cae Z eleroeter X ilay Loation Shaking Table Figure8 Show ae ( 997h) 4 Xdiretion Shaking Table ilay Loation T4R N X 振動台 X(C h) > 展示位置 X(8C h) 伝達関数 4 Xdiretion Shaking Table To of Cae T4R N X 振動台 X(C h) > ケース頂部 X(C h) 伝達関数 Gain [db 3 69[H z 35[H z Gain [db 3 7[H z 7[H z 35[H z Frequeny(H z) Frequeny(H z) Phae [deg Phae [deg Frequeny(H z) 4 Ydiretion Shaking Table ilay Loation T4R N Y 振動台 Y(3C h) > 展示位置 Y(9C h) 伝達関数 Frequeny(H z) Ydiretion Shaking Table To of Cae T4R N Y 振動台 Y(3C h) > ケース頂部 Y(C h) 伝達関数 4 Gain [db 3 69[H z 3[H z Gain [db 3 69[H z Frequeny(H z) Frequeny(H z) Phae [deg Phae [deg Frequeny(H z) Frequeny(H z) Figure9 Show ae ( 997h)

N N Roller tye iolation yte Iolation yte ued for thi tet ha 9 quare 9 height, 68 eond natural tie eriod of rail, 3 inlined trait rail and allowable aiu alitude of ±It ha 4 kg weight and i hown at

8 N N Roller tye iolation yte Iolation yte ued for thi tet ha 9 quare 9 height, 68 eond natural tie eriod of rail, 3 inlined trait rail and allowable aiu alitude of ±It ha 4 kg weight and i hown at hoto of Fig Figure Iolation devie ( 999h) for how ae Statiti load tet Statiti load tet with aroriate weight ha been onduted to deterine frition oeffiient and erforane of the yte Teting equient hown at Fig ha been ued to urvey horizontal erforane of eah X,Y diretion Frition oeffiient ha been alulated fro eaured horizontal load, defletion and vertial load Here oeffiient at zero horizontal defletion i alulated uing bellow equation(4)(4) Coeffiient of μ=3 i alulated for X diretion at total oving weight of 9 kn and μ=3 for Y diretion at total weight of 6 kn Fig how erforane of X and Y diretion dilaeent eter otor eii iolation load ell tenile tet diretion Figure Tet aaratu for iolation devie X diretion Y diretion F 5 F 5 5 F F Figure Retoring fore v horizontal dilaeent

9 nalytial Model nalytial odel i onidered a degree of freedo a Fig3 when the howae i uorted by iolation yte k k µ k & z& Figure3 nalytial odel Reult of eerient and analyi Fig4how oarion of aiu aeleration and alitude between inut, eaured and analyi reult, it i onfired inut aeleration ha dereaed to level of /4 to /5 Fig5 how tie hitorie of alulated and eaured ' N%GPVTQ' 9 O +PRWV ' N%GPVTQ' 9 O % CNEWNCVGF 'N% GPVTQ 5 O / GCUWTGF 'N% GPVTQ 5 O * CEJKPQJG' 9 O * CEJKPQJG' 9 O * CEJKPQJG 5 O * CEJKPQJG 5 O 6 C HV' 9 O 6 C HV' 9 O 6CHV5O 6CHV5O QG' 9 O QG' 9 O QG 5 O QG 5 O #EEZ=O U? &KUR=EO? Figure4 Reone aeleration and dilaeent

10 [/ [/ [/ [ ṗ i [ / [ / [ / di [ i El Centro EW Inut EQ T i e [ i Hahinohe NS InutEQ tie [e JM Kobe EW Inut EQ 5 [/ [/ [/ [ ṗ i i T i e [ [ / [ / [ / [/ [/ di [ [ ṗ i i El Centro NS InutEQ tie [e Taft EW Inut E Q 5 [/ i T i e [ JM Kobe NS Inut EQ 5 [/ [/ [/ [ d i i ti e [e [ / [ / [ / i[ [/ [/ [ d i i Hahinohe EW InutEQ Tie [ Taft NS Inut EQ 5 [/ i ti e [e Calulated Meaured Figure5 Hitorie of alulated and eaured

CONCLUSION Shaking table tet were arried out, howing good erforane of the yte and onfiring validity of the

dereaed to about le than [/ at howae lthough there i oe differene between eerient and analyi, eah tie hitorie

TO MUSEUMS Fig 6(a),(b) Iolation yte have been intalled bellow The Thinker and Burgher of Calai (ugute Rodin)

Gifu Modern Mueu at Gifu refeture Figure6(a) The Thinker (ugute Rodin) Figure6(b) Burgher of Calai (ugute

11 CONCLUSION Shaking table tet were arried out, howing good erforane of the yte and onfiring validity of the analytial ethod Earthquake aeleration uh a JM Kobe original wave and 5 [/ level of El Centro and Taft ha dereaed to about le than [/ at howae lthough there i oe differene between eerient and analyi, eah tie hitorie of aeleration and dilaeent howed good onfority whih onfiring validity of the analytial odel EXMPLE OF PPLICTION TO MUSEUMS Fig 6(a),(b) Iolation yte have been intalled bellow The Thinker and Burgher of Calai (ugute Rodin) at National Wetern rt ueu at Ueno/Tokyo Fig 7(a),(b) Iolation yte ha been integrated bellow beautiful howae at Gifu Modern Mueu at Gifu refeture Figure6(a) The Thinker (ugute Rodin) Figure6(b) Burgher of Calai (ugute Rodin) Figure7(a) Show ae Figure7(b) Show ae REFERENCES kenori SHIBT: Saihin Taihinnkouzoukieki, Morikita Shuan Co, Ltd (in Jaan)

SPH3UW Unit 7.1 The Ray Model of Light Page 2 of 5. The accepted value for the speed of light inside a vacuum is c m which we usually

SPH3UW Unit 7.1 The Ray Model of Light Page 2 of 5. The accepted value for the speed of light inside a vacuum is c m which we usually SPH3UW Unit 7. The Ray Model of Light Page of 5 Note Phyi Tool box Ray light trael in traight path alled ray. Index of refration (n) i the ratio of the peed of light () in a auu to the peed of light in