35 6 215 12 @ A @ A EARTHQUAKEENGINEERINGANDENGINEERINGDYNAMICS Vol.35No.6 Dec.215 :1-131(215)6-186-7 DOI:1.13197/j.eeev.215.6.186.wangxj.25 [ / KL 1, MN 2,O 2 (1. 4< *+] <, DS 6591;2. \@^4< < L ] <, 71129) G H: 89 #$ +$-, ;6 + J BC,#* EA=, = 1] 89 9 ST 3 A = 8 RS:c 5] 89J $#S,<2 BC' 8 1 ; = 1 89= &,, = =[EA= IJK:J 89; ; #$;J BC;89 /3 EA= ;89 /3, = $ :TU311.3;TU352 LMN:A Optimizationfortheenergyconsumptionstructureunderearthquake WANGXianjie 1,ZHANGXun an 2,LIANYeda 2 (1.SchoolofUrbanConstructionandNanagement,YunnanUniversity,Kunming6591,China; 2.DepartmentofCivilEngineering,NorthwesternPolytechnicalUniversity,Xi an71129,china) Abstract:Themethodsofserialoptimizationandintegrationoptimizationareintroducedbasedontheenergyanaly sis.consideringtheinterlaminationdisplacementandacceleration,thesizeofstructureandenergydisipation damperlayoutarebothoptimized.theresultsshowedthattheviscousdamperscanimprovetheseismicperform anceofthebuildingstructure.withthehelpofenergyindex,thesafetysensitivityofbuildingstructurefordiferent seismicwavesisreduced.theefectivenesforintegrationoptimizationisbeterthanthatofthesimultaneousopti mization,besidesbothofthemcangetapplicableresults. Keywords:earthquakeresistantstructure;viscousdampers;energyanalysis;anti seismicpropertyindexes;serial optimization;integrationoptimization O = C>I J, 89J ' 4)*ST. 5< Q J, $B J? 4 [1], [ ] 89 B 3 B,?" C> 1V?"] 89, ;6 + = J DBC N %[ @ N 2, R 1 5 ] 23:214-6-17; 4523:214-6-27 6789:AB <+ (5178311,5138458) Supportedby:NationalNaturalScienceFoundationofChina(5178311,5138458) :; :UBT(1984-),,CS,,'?"] 89 J.E mail:xianjiewang@ynu.edu.cn
6 UBT,: 89J = 187 $# < 2 2# [2] 89 - #$ [3] 89 [4] N [5] : *!H, &,%[] 89 3, ZC 89 3, $ 4C Z 89 3 < F?,[89 3 < P\, > ( F, T 3 [6] / 989 3 = [7],\ 89 #$ +$-, ;6 + J BC,#* EA=, = 1] 89 9 ST 3 A = 1 Q -, A 89#$ R SAP2 MIDAS ANSYS SAP2B 2 Maxwel!", a!"b, ae, & 1 ) - 7: 1 Q ; Fig.1 Schematicdiagramofviscousdampers f=kd k =cd α c (1) B:k d k #*= a c=,d c= + B α=,,.2 2 N @ B, R G, ' 7 [8] : K b =(6π/T 1 )C v (2) B,K b = 9 ;T 1 =89 +, ; n e i e t = [89+,,892# B b Z 3 2 #. \ % 7 @ # A=: M x(t)+c x(t)+f(t)=-mi x g (t) (3) B,M C f(t)#*=89 I I X ; x(t) x(t)#*=89 1[ * + + ; x g (t)=* +,I= ; (3) x(t) T dt,1 dt #,& A: t x(t) T t M x(t)dt+ x(t) T t C x(t)dt+ x(t) T t f(t)dt=- x(t) T MI x g (t)dt (4) - / 4 =89 E v (t) E c (t) E y (t), = cab 289 K E in (t) V t,89 2 : E v (t)+e c (t)+e y (t)=e in (t) (5) 1[ 89, (3) (5)#* =: M x(t)+c x(t)+f(t)+f d (t)=-mi x g (t) (6) E v (t)+e c (t)+e k (t)+e h (t)+e d (t)=e in (t) (7) B, 3 (f d (t)) (E d (t)) ' c7 : t E d (t)= x(t) T f d (t)dt (8) % A(7) V, %,1[ [t,t+δt] : ΔE v (t)+δe c (t)+δe k (t)+δe h (t)+δe d (t)=δe in (t) (9) B,ΔE v (t) ΔE c (t) ΔE k (t) ΔE h (t) ΔE d (t) ΔE in (t)#*= 89
188 @ A @ A 35 J K 2 [t,t+δt] B K 2 R #*=: t+δt ΔE d (t)= x(t) T f d (t)dt (1) t t+δt ΔE in (t)=- x(t) T MI x g (t)dt (11) t A+, #, [t,t+δt],c+ + # ' & : x(t i +h)= x(t i )x+δ x h Δt h x g (t i +h)= x g (t i )+Δ x g Δt (12) (13) x(t i +h)= x(t i )+ x(t i )h+δ x h2 2Δt (14) (12)~(14) 2 K 2 #R,1 [t,t+δt] #,'& R =: ΔE in (t i )=-Δt x(t i ) T MI x g (t i )- Δt 2 x(t i ) T MIΔ x g - Δt2 2 x(t i ) T MI x g (t i )- Δt 2 6 Δ x T MI x g (t i )- Δt2 3 x(t i ) T MIΔ x g - Δt2 8 Δ x T MIΔ x g (15) ΔE d (t)= 1 2 {f d(t i )+f d (t i +Δt)} T Δx(t i ) (16) 3 \ L 3.1 &: ] J $ GB511-21 B, ] 89' ;6 + BC D 89 7 ' = # 89 3,#L 7 3:3 BC:89 C;63 R s,89 C + 3 R a,89 ;63 R es 3:BC 7, : R s = max[abs(su )]-max[abs(s e )] max[abs(s u )] R a = max[abs(au )]-max[abs(a e )] max[abs(a u )] R es = max[abs(esu )]-max[abs(es e )] max[abs(es u )] B,s u,a u,es u #* 89 C;6 C + ;6;s e,a e,es e #* 89 C;6 C + ;6 3.2 [. #$ R 4, 89B ' 89 K 2, 89 J, H 89 = # ] 89J cab 3,,\#L 89 R d : (17) (18) (19) R d = E d E in (2) 1, 2,a U4, # J <# U,] 89 J 4!A U, 89 J U 4 / - = 89 ;6 + 3 & 3 $ K, C;6 + 3
6 UBT,: 89J = 189 A I, &,:? C:, $1;6 3,\ [9]]J: max(.4r s +.3R a +.3R d ) (21) %#L',R s R a = [ 1, J, R ; # 4,R V 189 3 ; 4.1 # / ) B b Z 3 =,,\' 1 B A= 89c #*#L=: : E =[c,α] (22) 89c : max x i (t) Δ,c u c c l,α u α α l (23) B,x i (t)= i ;6 A,Δ= ;6,c u c l α u α l #*= B 4 4.2 : / 1[] 89 =,D Z 89c 7 = 89,=!" 7: : E =[h 1,h 2 h i ] (24) 89c : n W i W,max x i (t) Δ (25) B,h i =89 i 89,' ST <Q3,W i =89 i 89Z,W=89KZ 4.3 / $ %-', 89=, ] 89 = = : 1[,' E A=, = 4.3.1 89 /3 EA=!" 89 /3 EA= 89 = = A=,K < 1[89 =, Z 89c 7 = 89,=!" 7: C: : max(.6r s1 +.4R a1 ) (26) : E =[h 1,h 2 h i ] (27) 89c : n W i W,max x i (t) Δ (28) B,R s1 R a1 #*= 1[ 89 C;63 C + 3 1 3 =!"'#L=: C: : max(.5r s2 +.3R a2 +.2R d ) (29) : E =[c,α] (3) 89c : max x i (t) Δ,c u c c l,α u α α l (31) B,R s2 R a2 189= ] 89 C;63 C + 3 4.3.2 89 /3, =!" 89 /3, = 89 J, A89 3 =, (8 9 3 V,: C=, 3 : C: A I = C=,V\ IZ, EA=!"B 89=!" 3 =!" 7: C: : max(.5(.6r s1 +.4R a1 )+.5(.5R s2 +.3R a2 +.2R d )) (32) : E =[h 1,h 2, h n,c,α] (33) 89c : 5 O n W i W,max x i (t) Δ,c u c c l,α u α α l (34) = a ',] & 2(a)) 15 Y!" 89 5 4m, 5
19 @ A @ A 35 3.5m, 6m, 89 4 3 2 2@L")*N 6 6 5 5M")* 89 3 #*= 1.28s.81s.56s #89 # = 2, *=Ⅱ, 5 =.4s,? = 8 = cab 9 ST #* 89-897< 8:(4 ) 89(= 89 1 89 2), 3,\ 1 89 A= 8 9,#, ;, = 8, '1[ = 3 = 8 (R 1) ), ; 4>(& 2) ) EA= 189=, # 5 6 7 9,, = 8 1 # /\ Table1 Theparametersofdamperafteroptimization 3 EA=, = c 2.2 2.2 B α.9.9 8 9 1 14,, = B-<,EA= ' B7< =? RS= 89)*ST,,\#L )*ST R=: B,h i h i #*== i )*ST R i = h i h i (35) %& 3' :, = EA= 89K 4 N =,B-<(8 ~1 )F ST B7<(5~7 )F 9 ST ) 4 89 Q [=, = 89 )*ST 7 -, ' Y V\ 71 7 89=, 89= ' > F <Q,(89K, = + $-89 Z,' )* 7-2 # Fig.2 Thelayoutofviscousdampers ( R, 1 R W ) 3 T WX /X R Fig.3 Therateofcolumnsizechange 1= 89 A 7 J #$, Y4 = = 89J 4 5,, = 8 =[EA= 8 ' : (1)] 89 ;6 3 & 4 = EA=, = 89 7 89 ;6 3 ' :1) N 56,89B ;6 4,V = B = 1@ ca,) 1@ 4 2) 3 7,= 89 ;6S [= 89,, = 8 =[EA= 8 (2)] 89]1 + 3 & 5' = EA=, = 89 7]1 +,' 1 ;6 3 S ', W' 1 1;6 9#,'189]1 + 3 $#S (3) & 6', CcN =,= 89
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192 @ A @ A 35 (1)c 5] 89J $#S,'189]1 + 3 ;6 (2) = 1 89= &,, = =[EA=,89, 3 (3) C: B<2 ' 8 1,V' =@AN B 3 : [1] 9, O.X " 389 B 3 [J]. @A @A,211,31(4):71-74. LITao,ZHANGXun an.researchonparametersofviscousdampersinsertedinmscss[j].earthquakeengineeringandengineeringdynamics, 211,31(4):71-74.(inChinese) [2],,3.]1 1 2 1 a b [J]. <=,25,27(6):666-676. GONGMaosheng,XIELili.Studyoncomparisonbetweenabsoluteandrelativeinputenergyspectraandefectsofductilityfactor[J].ActaSeis mologicasinica,25,27(6):666-676.(inchinese) [3] YeL,OtaniS.Maximumseismicdisplacementofinelasticsystemsbasedonenergyconcept[J].EarthquakeEngineering&StructuralDynamics, 1999,28(12):1483-1499. [4] G 8.,.+[ ] 89J [M].\]: R4<,21. QIUShanhong,act.Buildingstructureseismicdesignbasedonenergybalance[M].Beijing:TsinghuaUniversityPres,21.(inChinese) [5] T.] 89= [M].\]:\]4<,211. ZHUJiangjie.Structureoptimizationanditsapplication[M].Beijing:PekingUniversityPres,211.(inChinese) [6] AkbasB,ShenJ,HaoH.Energyappproachinpeformance basedseismicdesignofsteelmomentresistingframesforbasicsafetyobjective[j]. TheStructuralDesignofTalBuildings,21,1(3):193-217. [7] MescacA.Control structureintegrateddesignwithclosed formdesignmetricsusingphysicalprogramming[j].aiaajournal,1998,36(5): 855-864. [8]. 89 [M]. P: P @4<,26. ZHOUYun.Viscousdampingsuspensionstructuredesign[M].Wuhan:WuhanUniversityofTechnologyPres,26.(inChinese) [9] QR, O. 3 1 b [J].@^],213,43(7):52-56. PENGZejing,ZHANGXun an.studyontheefectsofparametersofenergydisipationdamperonitsdampingperformance[j].industrialcon struction,213,43(7):52-56.(inchinese)