Nonlinear Static Analysis for Frame2shear2wall Structures

Transcription

1 Earthquake Resistant Engineering and Retrofitting Vol130,No16 Dec [] (2008) ,, (,100084) [ ],,, Chopra, MPA MPA,18,,MPA,,MPA [ ] ;;;; [] TU375 ; TU313 [] A Nonlinear Static Analysis for Frame2shear2wall Structures Miao Zhi2wei, Ye Lie2ping, Lu Xin2zheng ( Tsinghua University, Key Laboratory of Structural Engineering and Vibration of China Education Ministry, Beijing , China) Abstract:Nonlinear static analysis (or pushover analysis) has been widely used recently as a simplified method to evaluate the structural seismic performance and estimate inelastic structural responses under severe ground motions. But most traditional pushover procedures, which have fixed lateral load patterns that are major based on first structural modal, can not reflect the effect of the higher modal on the structural dynamic response. To overcome this problem, Chopra et al. has proposed a new pushover procedure which is referred as modal pushover analysis (MPA) based on the modal decoupling response spectrum method to consider the effect of the higher mode. Currently, most MPA research is focused on frame structures. In this paper, the problem of MPA when it is implemented in frame2shear2wall structures is high lighted together with proposed solution method. An eighteen2story reinforced concrete frame2shear2wall structure is used as an example to benchmark the accuracy of traditional pushover method and MPA method. The structural responses with MPA method and traditional pushover methods are compared with the results of incremental nonlinear dynamic time history analysis, which shows that MPA procedure gives better prediction for inelastic responses of the structure. Keywords :nonlinear static analysis ; nonlinear time history analysis ; Modal Pushover Analysis ; reinforced concrete ; frame2shear2wall structure 1 Π,,, ( Pushover ) [] [] (JC ) ATC240,FEMA [12 ], GB [3 ] Pushover ATC240 [1 ],,,, Pushover,, Earthquake Resistant Engineering and Retrofitting Vol130,No

2 [3,5,6 ],Chopra, (Modal Pushover Analysis, MPA ) [7 ] MPA, Pushover,,,,MPA [79 ],MPA,,, -,,MPA 18,MPA, (incremental nonlinear dynamic time history analysis, IDA ), Pushover MPA,,MPA Pushover 2 [3 ],PKPM 18 1, 415m, 316m, 6517m,8,,, 810kNΠm 2,210kNΠ m 2,1 9 C40,10 18 C35 ;C30 HRB400, HRB335, HPB s 0153s 0122s,1 68 %,2 85 %,3 92 % 1, Y,Y, Y,8,6,- 1157,, 2,,, 1 3 Pushover MPA MSC1MARC [10 ] [10 ] 2, Rayleigh,5 % Pushover, 2 : (1) ; (2) ( SRSS ) [2 ], Earthquake Resistant Engineering and Retrofitting December 2008

3 30 6,: 43 1 (mm) (mm mm) (mm 2 ) ( mm 2 ) (mm mm) (mm 2 ) (C40) 1452 (C40) (C30) (C35) 1452 (C35) (C30) Pushover, MPA,: i i Pushover, i (SDOF ),i SDOF,i SDOF,i SDOF,T p i, i SDOF,T i MPA [7 ],T p i T i, 1,T p1 = T 1,2 3,T p2 T p3 T 2 T MPA T p1 T p2 T p3 T 1 T 2 T 3 [11 ], K p i K i MPA 2 MPA T i (s) MPA T p i (s) ( %) Earthquake Resistant Engineering and Retrofitting Vol130,No

4 ,MPA,, i { < i }MPA,i,L i (1),, [ m ], s,{ l i } i,,,,mpa [7 ], T i T p i L i = [ m ]{ < i } s = { l i } s (1),,,,, Pushover,,(1), { < i }, i,, MPA,MPA,, SDOF T p i T i, 2, 2 3,T p2 T p3 T 2 T 3, MPA,,, MPA,T p i T i 3, 2 3 MPA T i (s) MPA T p i (s) ( %) ,,,, 2 3 T i,,,,,,,, Pushover MPA,,P2 4,,,, ( Incremental Dynamic Analysis, IDA, (Dynamic Pushover) [12 ] IDA,, IDA, Pushover MPA 5 (United States Geological Survey,USGS),4,S1 S2 S3 S4, 750mΠs mΠs mΠs 180mΠs S2 Earthquake Resistant Engineering and Retrofitting December 2008

5 30 6,: 45,S2 10 ( 4) IDA 10,, PGA,,PGA 10, [8,12 ], S a ( T 1 ), S a ( T 1 ) IDA T 1 = 2120s,,S a ( T 1 ) = 0136mΠs 2, S a ( T 1 ) = 1101mΠs 2, S a ( T 1 ) = 2101mΠs 2, S a ( T 1 ) 012mΠs mΠs 2, 0125mΠs 2,, 4 10 PGA (g) PGV (cmπs) PGD (cm) Friuli, Italy 1976Π09Π15 03 : Forgaria Cornino Landers 1992Π06Π28 11 : Joshua Tree Livermore 1980Π01Π27 02 :33 57T02 Livermore2Morgan Terr Park Loma Prieta 1989Π10Π18 00 : Saratoga2W Valley Coll S2 Morgan Hill 1984Π04Π24 21 : Gilroy Array # Northridge 1994Π01Π17 12 : N. Hollywood2Coldwater Can Parkfield 1966Π06Π28 04 : Temblor pre San Fernando 1971Π02Π09 14 : Castaic2Old Ridge Route Victoria, Mexico 1980Π06Π09 03 : Cerro Prieto Whittier Narrows 1987Π10Π01 14 : N Hollywood2Coldwater Can : http :ΠΠpeer. berkeley. eduπsmcatπindex. html 6, 10 ( ),,MPA Pushover 611,, 1,5,9,12,15,18,3, 10, Pushover MPA (3 (a) ), Pushover, Pushover MPA,,,MPA,,MPA 3 5 (3 ( b) ), SRSS Pushover,Pushover MPA,,, MPA 3 Earthquake Resistant Engineering and Retrofitting Vol130,No

6 (3 ( c) ), SRSS Pushover,Pushover MPA 3,, 20 %,MPA 3,3 12 (3 (d) ),Pushover, Earthquake Resistant Engineering and Retrofitting December 2008

7 30 6,: 47 Pushover,SRSS Pushover, 30 %MPA,,,,, 18 %,,MPA (3 (e) 3 (f) ), 12,MPA 20 %, Pushover,,MPA 3,3,, MPA Pushover,MPA [3 ], 70gal 200gal 400gal ( ), S a ( T 1 ) 0136mΠs mΠs mΠ s S a ( T 1 ) 0136mΠs 2 (), Pushover, SRSS Pushover,,, MPA,,, S a ( T 1 ) 1101mΠs 2 (), Pushover, SRSS Pushover,, MPA,,,, Pushover S a ( T 1 ) 2101mΠs 2 (), Pushover, SRSS Pushover,, MPA,,,Pushover,MPA,,,Pushover,MPA S a ( T 1 ) 0136mΠs mΠs mΠs 2, S a ( T 1 ) 0136mΠs mΠs 2 ( ),, Pushover, MPA ; Earthquake Resistant Engineering and Retrofitting Vol130,No

8 , SRSS Pushover, S a ( T 1 ) 2101mΠs 2 (),,MPA,Pushover, S a ( T 1 ) 0136mΠs mΠs mΠs 2,,,Pushover,MPA 3, 7 18 Pushover MPA, : (1) MPA,, MPA, Pushover, (2),MPA 6 Pushover, (3) MPA,, (4) MPA 3,, 3 ( 54 ) Earthquake Resistant Engineering and Retrofitting December 2008

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