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1 32 18 JOURNAL OF VIBRATION AND SHOCK Vol. 32 No M M 1 /3 M TU A Response analysis in frequency omain of an in-fille wall M vibration reuction structure uner earthquake LU Jun-long 1 HE Ming-sheng 2 TIAN Jie 1 1. School of Civil Engineering An Architecture Xi'an University of Technology Xi'an China 2. College of Water Conservancy an Architectural Engineering Shihezi University Shihezi China Abstract An in-fille wall an a main structure are connecte with stiffness an amping elements to form a vibration reuction system with a tune mass amper calle an in-fille wall vibration reuction system. If a main structure contains several such systems it can be calle an in-fille wall multi- M vibration reuction structure. In orer to stuy the ynamic response law of this structure uner earthquake choosing resonably mechanical parameters of each an each connecte element the main structure was simplifie as a series MDOF moel its transfer function in frequency omain an influence factors for its steay response uner non-coupling contnols were analyte an testifie with a shake-table test of a moel of 1 /3 scale. It was shown that when an in-fille wall is set on the thir floor of the main structure the amplitue-frequency response curves of the column top of each floor appear features of ouble-peak an the peaks of accelerations are lower the frequency tunning function of is more remarkable while in-fille wall s are set on the top two floors the frequency tunning function of varies uner ifferent peaks of seismic acceleration therefore the frequency omain response of an in-fille wall M structure is relate to the placement of s an the amplitue of input seismic wave the control action of the frequency tunning function of the structure is affecte by the amplitue of earthquake wave acceleration. Key wors in-fille wall M vibration reuction structure seismic response vibration reuction performance analysis in frequency omain M 1 M U JK

2 18 M mm 1 /5 8 mm U 1 M Fig. 1 Construction of In-fille Wall M structure M Px + M x - Px + C x - Px + K x - Px = - M Ix g 3 M M C K M C K M x x g t x P n m n m M 1 0 f 2 M M M 2 3 M 4-6 K ~ = K + PT K P - P T K M - K P K 7-8 M ~ U + C ~ U + K ~ U = MIx g 4 4 M M M v = x - Px 3 M M M Px + M v + C v + K v = - M Ix g Ω = iag ω 2 i Γ = iag 2ξ i ω i = 1 2 m M 2 M Fig. 2 Moel of In - fille Wall M vibration absorption structure 2 P Mx + Cx + Kx = - MIx g t + P T f 1 f = C x - Px + K x - Px 2 U = x x T C ~ = C + PT CP - P T C - C P C M ~ = M 0 0 M

3 PΦq + v + Γ v + Ω v = - Ix g 6 ω i ξ i v j = x i - x i i 2 j F j = T j P T f = - T j P T M Ix g + POq + v 7 F = - Φ T P T M Ix g + PO q + v 8 3 E + Φ T P T M PO q + I^q + Uq + Φ T P T M v = EL-Centro - A ~ + Φ T P T M I x g M 3 x g Fig. 3 Moel of shake-table test = exp iωt H = - ω 2 M ~ + ωic ~ + K ~ -1 M ~ I El - Centro H m ω { H T ω } P T M PO ΦP T M ( [ ] + PΦ E Ξ 0 ωi 0 Ξ + [ Ω 0-1 A + Φ ] ) P T M I 1 0 Ω I j 2 4 M 1 / gal m m m Q235 HW HW mm 3 2 2L kg 200 gal 3 4 mm U 100 gal N /m N /m N s /m 400 gal 4 mm 10 mm 1. 5 Hz

4 18 M Fig. 4 Response curve of amplitue an frequencies when the set in the top floor 5 Fig. 5 Response curve of amplitue an frequencies when the set in the secon an the thir floor

5 structures J. Engineering Mechanics M J TU Wen-ge ZOU Yin-sheng. Stuy on multistory structures with multi-moe control of M J. Earthquake Engineering an Engineering Vibration M J. MT MD M TU Wen-ge ZOU Yin-sheng. Analysis of multistory structures with M in frequency omain J. Engineering Mechanics M J M LIU Bao-ong ZHU Xi. Seismic control of structure with multiple tune mass amper system J. Engineering Mechanics Park J Ree D. Analysis of uniformly an linearly istribute mass ampers uner harmonic an earthquake excitation J. 2 Journal of Engineering Structures Li C X. Optimum multiple tune mass ampers for structures uner the groun acceleration base on DDMF an ADMF J. Earthquake Engineering an Structural Dynamics M J LI Li HUANG Shang-bin ZHANG Hui et al. Funamental characteristics stuy of multiple tune mass amper M in control of structure vibration J. Engineering Mechanics M J LI Chun-xiang DU Dong. Comparative stuy on performance of acceleration response control base M for structures uner various excitations J. Journal of Vibration an Shock M R J M LI Chun-xiang HUANG Jin-zhi. Tge optimum esign of J M control for earthquake-excite steel tall builing J. CAI Guo-ping SUN Feng HUANG Jin-zhi et al. Journal of Vibration an Shock Characteristic analysis of M for seismically excite 欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁 of Vibration an Shock J He J H Wu X H. Variational iteration metho new LU Fu-e TAO Wei-ming GAO De. Drop impact analysis on evelopment an applications J. Computers an item packaging system with beam type elastic critical component J. Journal of Vibration an Shock J XIANG Hong TANG Bo-sen. Application of L-P perturbation metho in ropping shock problem J. Journal Mathematics with Applications He J H. Variational iteration metho-some recent results an new interpretations J. Journal of Computation an Applie. L-P Mathematics He J H. Variational iteration metho-a kin of non-linear analytical technique some examples J. International Journal of Non-linear Mechanics

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